Question 1 :
When a die is thrown, find the probability of the event of getting a number not greater than 5.
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce67f59b460d7261f017.PNG' />
Refer to the above figure. A group of 360 people were asked to vote for their favourite season from the three seasons rainy, winter and summer.Which season got the most votes?
Question 3 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce6af59b460d7261f01b.PNG' />
Refer to the above figure. The number of students in a hostel, speaking different languages is represented using a pie chart. How many students speak Hindi ?
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce49f59b460d7261efed.PNG' />
From the above figure, observe the histogram. How many girls have a height of 145 cms and more?
Question 5 :
State true/false. We use histogram for the height of competitators in an atheltics meet.
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce44f59b460d7261efe6.PNG' />
From the above figure, In which subject is the performance at par?
Question 7 :
When a die is thrown, list the outcomes of an event of getting a prime number.
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce5bf59b460d7261f005.PNG' />
Refer to the above figure. Suppose you spin this wheel. Find the probability of getting a green sector.
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfecf59b460d7261f23f.png' />
In above figure, a survey was made to find the type of music that a certain group of young people liked in a city. If a cassette company were to make 1,000 CD's how many of each type would they make?
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce4ef59b460d7261eff3.jpg' />
In the above image, a Frequency Distribution Table of Daily Income of 550 workers of a factory is shown. What is the size of the class intervals?
Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce46f59b460d7261efe9.PNG' />
From the above figure, in which year is the increase in the number of students maximum?
Question 12 :
State true/false. We use histogram for the number of cassettes produced by 5 companies.
Question 13 :
When a die is thrown, which of these is an outcome of an event of getting a number not greater than 5 ?
Question 14 :
A bag has 4 red balls and 2 yellow balls. (The balls are identical in all respects other than colour). A ball is drawn from the bag without looking into the bag. Is the probability of getting a red ball more or less than getting a yellow ball?
Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfeff59b460d7261f243.png' />
In above figure, the adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
Question 16 :
When a die is thrown, list the outcomes of an event of getting not a prime number.
Question 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ace78c526e972caf066.PNG' />
In the above figure, a pie chart is shown. A survey was made to find the type of music that a certain group of young people liked in a city. Above pie chart shows the findings of this survey. From this pie chart, answer - If 20 people liked classical music, how many young people were surveyed?
Question 18 :
When a die is thrown, which of these is an outcome of an event of getting a prime number ?
Question 19 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce53f59b460d7261eff9.JPG' />
In the above figure, pie chart gives the expenditure (in percentage) on various items and savings of a family during a month. Expenditure on which item is equal to the total savings of the family?
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce62f59b460d7261f00f.PNG' />
In the above figure, the pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions. In which subject did the student score 105 marks ? (Hint: for 540 marks, the central angle = 360°.)
Question 21 :
On rolling a uniform die, what is the probability of getting 5 ?
Question 22 :
When a die is thrown, what is the probability of getting a number not greater than 5?
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce48f59b460d7261efec.jpg' />
In the above image, a Frequency Distribution Table of Daily Income of 550 workers of a factory is shown. Which two classes have the same frequency?
Question 24 :
On rolling a uniform die, what is the probability of getting a number between 1 and 6 ?
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce57f59b460d7261efff.PNG' />
In the above figure, observe the pie chart. Which two types of programmes have number of viewers equal to those watching sports channels?
Question 26 :
If you have spinning wheel with 3 green sectors, 1 blue sector and 1 red sector, what is the probability of getting a non blue sector?
Question 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce4cf59b460d7261eff0.jpg' />
In the above image, a Frequency Distribution Table of Daily Income of 550 workers of a factory is shown. Which class has the highest frequency?
Question 28 :
If you have a spinning wheel with 3 green sectors, 1 blue sector and 1 red sector, what is the probability of getting a non blue sector?
Question 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce41f59b460d7261efe2.PNG' />
From the above figure, in which year is the number of students maximum?
Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce45f59b460d7261efe7.PNG ' />
From the above figure, in which month were maximum number of cars produced?
Question 31 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfeaf59b460d7261f23c.png' />
In above figure, the number of hours for which students of a particular class watched television during holidays is given, How many student spent more than 5 hours in watching TV?
Question 32 :
A bag has 4 red balls and 2 yellow balls. (The balls are identical in all respects other than colour). A ball is drawn from the bag without looking into the bag. What is probability of getting a red ball?
Question 33 :
When a die is thrown, list the outcomes of an event of getting a number greater than 5.
Question 34 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc89f59b460d7261ed95.JPG' />
From the above image, what is the lower limit of the last class?
Question 35 :
State true/false. We use histogram for the number of letters for different areas in a postman's bag.
Question 36 :
When a die is thrown, which of these is an outcome of an event of getting a number greater than 5 ?
Question 37 :
The weekly wages (in Rs ) of 30 workers in a factory are. 830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 883, 835, 835, 836, 878, 840, 868, 890, 806, 840. Using tally marks make a frequency table with intervals as 800-810, 810-820 and so on. Draw a histogram for the frequency table made for the data and Answer : Which group has the maximum number of workers?
Question 38 :
What are the possible results you get when a coin is tossed?
Question 39 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce68f59b460d7261f019.PNG' />
In the above fig, the pie chart shows the colours preferred by a group of people. From a group of 36 people, how many prefer Red colour ?
Question 40 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce5ef59b460d7261f00a.PNG' />
In the above figure, how many workers earn Rs 850 and more?
Question 41 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce52f59b460d7261eff8.JPG' />
In the above figure, pie chart gives the expenditure (in percentage) on various items and savings of a family during a month. On which item, the expenditure was maximum?
Question 42 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce5af59b460d7261f004.PNG' />
In the above figure, a wheel is shown. When you spin this wheel, which of these is not a possible outcome?
Question 43 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce66f59b460d7261f015.PNG' />
In the above fig, the pie chart shows the colours preferred by a group of people. From a group of 36 people, how many prefer Blue colour ?
Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce66f59b460d7261f016.PNG' />
In the above fig, the pie chart shows the colours preferred by a group of people. From a group of 36 people, how many prefer Yellow colour ?
Question 45 :
Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of getting a 1-digit number?
Question 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce41f59b460d7261efe1.PNG ' />
From the above figure, how many cars were produced in the month of July?
Question 47 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ace78c526e972caf066.PNG' />
In the above figure, a pie chart is shown. A survey was made to find the type of music that a certain group of young people liked in a city. Above pie chart shows the findings of this survey. From this pie chart, answer - Which type of music is liked by the maximum number of people?
Question 48 :
The weekly wages (in Rs ) of 30 workers in a factory are. 830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 883, 835, 835, 836, 878, 840, 868, 890, 806, 840. Using tally marks make a frequency table with intervals as 800-810, 810-820 and so on. Draw a histogram for the frequency table made for the data and Answer : How many workers earn Rs 850 and more?
Question 49 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce65f59b460d7261f014.PNG' />
Refer to the above figure. The number of students in a hostel, speaking different languages is represented using a pie chart. How many students speak Tamil?
Question 50 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce62f59b460d7261f010.PNG' />
Refer to the above figure. The number of students in a hostel, speaking different languages is represented using a pie chart. How many students speak Marathi ?
Question 51 :
If a deposit of Rs 2,000 earns an interest of Rs 500 in 3 years, how much interest would a deposit of Rs 36,000 earn in 3 years with the same rate of simple interest?
Question 52 :
If 25 metres of cloth costs Rs 337.50, then what will be the cost of 40 metres of the same type of cloth?
Question 53 :
Both x and y are said to vary ______ with each other if for some positive number k, xy = k.
Question 54 :
Choose the correct option. Distance travelled by an auto-rickshaw and time taken
Question 55 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cca1f59b460d7261edb4.PNG' />
In the above figure, a key board of a harmonium is given. What is the ratio of black keys to all keys on the given keyboard ?
Question 56 :
If on increasing a, b decreases in such a manner that _______ remains ______ and positive, then a and b are said to vary inversely with each other.
Question 57 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc8bf59b460d7261ed98.PNG' />
Look at the above figure. Which quantities here vary inversely with each other?
Question 58 :
Figures that have the same shape but not necessarily the same size are called ________ figures.
Question 59 :
If x and y are directly proportional and when x = 13, y = 39, which of the following is not a possible pair of corresponding values of x and y ?
Question 61 :
Problems based on direct proportion can be solved using __________ method.
Question 62 :
In a scout camp, there is food provision for 300 cadets for 42 days. If 50 more persons join the camp, for how many days will the provision last?
Question 63 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc95f59b460d7261eda5.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of l.
Question 64 :
If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion. True or false ?
Question 65 :
If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m. True or false ?
Question 66 :
Choose the correct option. Number of students in a hostel and consumption of food
Question 67 :
Choose the correct option. Increase in cost and number of shirts that can be purchased if the budget remains the same
Question 68 :
Choose the correct option. Sales Tax and the amount of the bill
Question 69 :
If the area occupied by 15 postal stamps is 60 $cm^2$, then the area occupied by 120 such postal stamps will be _______.
Question 70 :
By travelling at a speed of 48 kilometres per hour, a car can finish a certain journey in 10 hours. To cover the same distance in 8 hours, the speed of the car should be
Question 71 :
In case of direct proportion, if $y_1,y_2$ are the values of y corresponding to the values $x_1,x_2$ of x respectively, then -
Question 72 :
If the cost of 10 pencils is Rs 90, then the cost of 19 pencils is Rs 171. True or false ?
Question 73 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc96f59b460d7261eda7.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of n.
Question 74 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc99f59b460d7261edaa.PNG' />
Refer to the above figure. To match each of the entries in Column I with the appropriate entry in Column II, choose the correct option.
Question 77 :
Ravi starts for his school at 8:20 a.m. on his bicycle. If he travels at a speed of 10 km/h, then he reaches his school late by 8 minutes but on travelling at 16 km/h he reaches the school 10 minutes early. At what time does the school start?
Question 78 :
Choose the correct option. Simple interest on a given sum and the rate of interest
Question 79 :
l varies directly as m and l is equal to 5, when m = $\frac {2}{3}$ . Find l when m = $\frac {16}{3}$.
Question 80 :
Choose the correct option. The number of people working and the quantity of work
Question 81 :
When two quantities x and y are in _______ proportion or vary ______ they are written as x ∝ $\frac {1}{y}$.
Question 82 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc92f59b460d7261eda1.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of r.
Question 83 :
Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k. True or false ?
Question 84 :
If 5 persons can finish a job in 10 days then one person will finish it in 2 days. True or false ?
Question 85 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc93f59b460d7261eda2.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of x.
Question 86 :
Both x and y are in direct proportion, then $\frac {1}{x}$ and $\frac {1}{y}$ are
Question 87 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc8ef59b460d7261ed9c.PNG' />
In the above figure, a table is shown. Determine if x and y are in direct proportion or not.
Question 88 :
On increasing a, b increases in such a manner that $\frac {a}{b}$ remains______ and positive, then a and b are said to vary directly with each other.
Question 89 :
If p and q are in inverse variation then (p + 2) and (q – 2) are also in inverse proportion. True or false ?
Question 90 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc93f59b460d7261eda3.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of y.
Question 91 :
The number of workers and the time to complete a job is a case of direct proportion. True or false ?
Question 92 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc8ff59b460d7261ed9d.PNG' />
In the above figure, a table is shown. Determine if x and y are in direct proportion or not.
Question 93 :
Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y?
Question 94 :
Speed and time are in ____________ proportion to each other if distance remains the same.
Question 95 :
If two cardboard boxes occupy 500 cubic centimetres space, then how much space is required to keep 200 such boxes?
Question 97 :
If two quantities x and y vary directly with each other, then ______ of their corresponding values remains constant.
Question 98 :
Assuming land to be uniformly fertile, the area of land and the yield on it vary
Question 99 :
If x and y are inversely proportional then _____ = k where k is positive constant.
Question 104 :
Obtain the product of the following pair of monomials : 4p, 0
Question 105 :
What is the cofficient of the term $-20$ in the expression $x^2y^2 -10x^2y +5xy^2-20$?
Question 109 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1acd78c526e972caf062.PNG' />
Which of the following options represent the expression of point C given in the above figure ?
Question 117 :
Carry out the multiplication of the expression : $4p, q + r$
Question 118 :
Use a suitable identity to get the following product : $\left(a^2+b^2\right)\left(-a^2+b^2\right)$
Question 123 :
Find the value of a, if $pq^2a = (4pq + 3q)^2 – (4pq – 3q)^2$
Question 124 :
Standard identities allow easy alternative methods to calculate products of numbers and so on.Is it TRUE or FALSE?
Question 126 :
Find the product of : $(a^2 ) × (2a^{22}) × (4a^{26})$
Question 127 :
What will be the product of first monomial $-4xy$ and second monomial $7x^2y$ ?
Question 130 :
Use a suitable identity to get the following product : $(1.1m-0.4)(1.1m+0.4)$
Question 131 :
Use a suitable identity to get the product: $(1.1m – 0.4) (1.1m + 0.4)$
Question 132 :
The area of a rectangle is $x^2 + 7x + 12$. If its breadth is (x + 3), then find its length.
Question 133 :
What is the result of the following divisions? $(2x^3 – 12x^2 + 16x) ÷ (x – 2) (x – 4)$
Question 135 :
Carry out the multiplication of the expression : $pq + qr + rp, 0$
Question 137 :
Find the area of a rectangle whose length and breadth are $2l^{2}m$ and $3lm^{2}$ respectively.
Question 138 :
State true or false: (ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) = 0
Question 142 :
What is the cofficient of the term $-10x^2y$ in the expression $x^2y^2 -10x^2y +5xy^2-20$?
Question 143 :
Use the identities to find the product of $(4x + 5) (4x – 1)$
Question 148 :
State true or false: $(a^2 – b^2) (a^2 + b^2) + (b^2 – c^2) (b^2 + c^2) + (c^2 – a^2) + (c^2 + a^2) =0 $
Question 150 :
Using $a^2 - b^2 = (a + b)(a - b)$, find: $12.1^2 – 7.9^2$
Question 152 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd4f59b460d7261edf6.PNG' />
From the above figure, supply the missing information for diagram.
Question 153 :
If a = – 1, b = 2, then find the value of $a^b\div b^{a}$
Question 154 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd0f59b460d7261edf1.PNG' />
Refer to the above image. Shikha has an order from a golf course designer to put palm trees through a $(× 2^3)$ machine and then through a $(× 3^3)$ machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?
Question 157 :
Find two repeater machines that will do the same work as a (× 81) machine.
Question 159 :
Express in standard form: 1 micron is equal to $\frac{1}{1000000} m$
Question 161 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cccbf59b460d7261ede9.PNG' />
From the above figure, find a single repeater machine that will do the same work as each hook-up.
Question 163 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cccef59b460d7261edee.PNG' />
Refer to the above image. Determine whether there is a single repeater machine that will do the same work. If so, describe it.
Question 165 :
Simplify and write the answer in the exponential form.$(– 4)^{– 3} × (5)^{– 3} × (–5)^{– 3}$
Question 166 :
By what number should $(–15)^{–1}$ be divided so that the quotient may be equal to $(–5)^{–1}$?
Question 171 :
Express the result in power notation with positive exponent.$(-3)^4 \times (\frac{5}{3})^4$
Question 172 :
Simplify and write the answer in the exponential form. $(2^5÷ 2^8)^5 \times 2^{– 5}$
Question 175 :
The distance between earth and sun is 150 million kilometres which can be written in exponential form as _______.
Question 176 :
Express in standard form: Charge of an electron is 0.000,000,000,000,000,000,16 coulomb.
Question 177 :
Express the result in power notation with positive exponent. $2^{– 3} × (–7)^{– 3}$
Question 180 :
The diameter of the Sun is $1.4 × 10^9$ m and the diameter of the Earth is $1.2756 × 10^7$ m. What is the comparison between their diameters by division?
Question 183 :
State true or false: Standard form is also called scientific notation form.
Question 189 :
Express in standard form: Size of a plant cell is 0.00001275 m
Question 195 :
Find the value of m for which, $5^m÷ 5^{– 3} = 5^5$
Question 197 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cccdf59b460d7261edec.PNG' />
Refer to the above image. Determine whether there is a single repeater machine that will do the same work. If so, describe it.
Question 199 :
By what number should $(–8)^{–3}$ be multiplied so that that the product may be equal to $(–6)^{–3}$?
Question 201 :
Fifteen added to thrice a whole number gives 93. The number is
Question 202 :
State whether the statement is TRUE or FALSE : If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93–x.
Question 204 :
The sum of two consecutive multiples of 10 is 210. The smaller multiple is
Question 205 :
State whether the statement is TRUE or FALSE : A term of an equation can be transposed to the other side by changing its sign.
Question 208 :
The solution of the equation 3x – 4 = 1 – 2x is
Question 209 :
State whether the statement is TRUE or FALSE : If $\frac{x}{3}+1=\frac{7}{15}$, then $\frac{x}{3}=\frac{6}{15}$.
Question 210 :
A steamer goes downstream and covers the distance between two ports in 3 hours. It covers the same distance in 5 hours when it goes upstream. If the stream flows at 3 km/hr, then find what is the speed of the steamer upstream?
Question 211 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cd48f59b460d7261ee95.png' />
In the above figure, for what value of x is the perimeter of shape 77 cm?
Question 213 :
Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, find the speed of each.
Question 216 :
State whether the statement is TRUE or FALSE : Three consecutive even numbers whose sum is 156 are 51, 52 and 53.
Question 219 :
The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
Question 220 :
State whether the statement is TRUE or FALSE : 3 years ago, the age of a boy was y years. His age 2 years ago was (y – 2) years.
Question 224 :
The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is
Question 227 :
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is
Question 229 :
The volume of water in a tank is twice of that in the other. If we draw out 25 litres from the first and add it to the other, the volumes of the water in each tank will be the same. Find the volume of water in each tank.
Question 233 :
After 18 years, Swarnim will be 4 times as old as he is now. His present age is
Question 234 :
Sum of the digits of a two-digit number is 11. The given number is less than the number obtained by interchanging the digits by 9. Find the number.
Question 235 :
The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find their present ages.
Question 236 :
State whether the statement is TRUE or FALSE : In an equation, variables can be transposed from one side of the equation to the other.
Question 237 :
The sum of four consecutive integers is 266. What are the integers?
Question 239 :
A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of stream be 2 km/hr, find the speed of the steamer in still water.
Question 240 :
A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of stream be 2 km/hr, find the distance between the ports.
Question 242 :
Rs. 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs. 1000 more than Kiran and Jenifer gets Rs. 500 more than Kiran. Find the money received by Jenifer.
Question 243 :
State whether the statement is TRUE or FALSE : Equations where the expressions which form the equation contain only one variable and the highest power of the variable appearing in the equation is 1, are called linear equations in one variable.
Question 244 :
The solution of which of the following equations is neither a fraction nor an integer .
Question 245 :
Two equal sides of a triangle are each 4m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55m.
Question 246 :
When a number is divided by 8, the result is –3. The number is
Question 247 :
State whether the statement is TRUE or FALSE : A and B are together 90 years old. Five years ago A was thrice as old as B was. Hence, the ages of A and B five years back would be (x – 5) years and (85 – x) years respectively.
Question 248 :
A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, find the speed of the steamer in still water.
Question 251 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cea8f59b460d7261f074.PNG' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the above graph. How high was Plant B after 3 weeks?
Question 252 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d013f59b460d7261f272.png' />
The graph above shows the interest on deposits for a year. Does the graph pass through the origin?
Question 253 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d009f59b460d7261f265.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the graph above. How high was Plant B after 2 weeks ?
Question 254 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceaff59b460d7261f07d.PNG' />
In the above fig, on which day did the actual temperature differ the most from the forecast temperature?
Question 255 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce9af59b460d7261f060.PNG' />
From the above figure, choose the letter(s) that indicate the location of the point (0,5).
Question 256 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce93f59b460d7261f056.PNG' />
The given graph represents the total runs scored by two batsmen A and B, during each of the ten different matches in the year 2007. Study the graph and answer the following question. A is a more consistent and reliable batsman. Is it true or false ?
Question 257 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceadf59b460d7261f07b.PNG' />
In the above fig, what was the maximum forecast temperature during the week?
Question 258 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cffff59b460d7261f259.png' />
The graph shown above shows the temperature of a patient in a hospital, recorded every hour. What was the patient's temperature at 1 p.m ?
Question 259 :
Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the Y-axis
Question 260 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce9ff59b460d7261f067.PNG' />
The above graph shows the temperature of a patient in a hospital, recorded every hour. When was the patient’s temperature 38.5° C?
Question 261 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d015f59b460d7261f274.png' />
The graph above shows the interest on deposits for a year.To get an interest of ₹ 280 per year, how much money should be deposited?
Question 262 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d005f59b460d7261f260.png' />
The line graph above show the yearly sales figure for a manufacturing company. What were the sales in 2005 ?
Question 263 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceb2f59b460d7261f082.PNG' />
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the above graph. How far is the place of the merchant from the town?
Question 264 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d009f59b460d7261f266.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the graph above. How high was Plant B after 3 weeks ?
Question 265 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cea1f59b460d7261f06a.PNG' />
The above graph shows the temperature of a patient in a hospital, recorded every hour. During which periods did the patients’ temperature showed an upward trend?
Question 266 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceabf59b460d7261f078.PNG' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the above graph. During which week did Plant B grow least?
Question 267 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cea3f59b460d7261f06d.PNG' />
The above line graph shows the yearly sales figures for a manufacturing company. What were the sales in 2003?
Question 268 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cebcf59b460d7261f090.PNG' />
From the above table, draw a graph and aswer the following question. Is the graph linear?
Question 269 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceb7f59b460d7261f088.PNG' />
In the above fig, find coordinates of L,M,K.
Question 270 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cea0f59b460d7261f069.PNG' />
The above graph shows the temperature of a patient in a hospital, recorded every hour. What was the temperature at 1.30 p.m.?
Question 271 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceb1f59b460d7261f081.PNG' />
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the above graph. How much time did the person take for the travel?
Question 272 :
The points, W (2, 6), X (3, 5), Y (5, 3), Z (6, 2) lie in a single line. Is it true or false ?
Question 273 :
Ajit can ride a scooter constantly at a speed of 30 kms/hour. Draw a time-distance graph for this situation. Use it to find the time taken by Ajit to ride 75 km.
Question 274 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce9cf59b460d7261f063.PNG' />
From the above figure, find the coordinates of F.
Question 275 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d00af59b460d7261f267.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the graph above. How much did Plant A grow during the 3rd week?
Question 276 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d003f59b460d7261f25e.png' />
The line graph alongside show the yearly sales figure for a manufacturing company. What were the sales in 2006 ?
Question 277 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceb9f59b460d7261f08c.PNG' />
From the above table, draw a graph and answer the following. Interest on Rs. 2500 is Rs. 200 for a year. Is it true or false ?
Question 278 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce9ef59b460d7261f066.PNG' />
The above graph shows the temperature of a patient in a hospital, recorded every hour. What was the patient’s temperature at 1 p.m. ?(in degree celsius)
Question 279 :
The points, K(2, 3), L(5, 3), M(5, 5), N(2, 5) lie on a single line. Is it true or false ?
Question 280 :
Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the X-axis.
Question 281 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cea4f59b460d7261f06e.PNG' />
The above line graph shows the yearly sales figures for a manufacturing company. What were the sales in 2005?
Question 282 :
A line graph displays data that changes continuously over periods of time. Is it true or false ?
Question 283 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceb4f59b460d7261f085.PNG' />
Which of the above graphs is (are) possible?
Question 284 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cea9f59b460d7261f076.PNG' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the above graph. How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?
Question 285 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce91f59b460d7261f053.PNG' />
The given graph represents the total runs scored by two batsmen A and B, during each of the ten different matches in the year 2007. Study the graph and answer the following question: The horizontal axis (or the x-axis) indicates the matches played during the year 2007. The vertical axis (or the y-axis) shows the total runs scored in each match. Is it true or false ?
Question 286 :
The points, P(1, 1), Q(2, 2), R(3, 3), S(4, 4) lie on a single line. Is it true or false ?
Question 287 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d010f59b460d7261f26f.png' />
The following graph shows the temperature forecast and the actual temperature for each day of a week. On which day did the actual temperature differ the most from the forecast temperature?
Question 288 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceb9f59b460d7261f08b.PNG' />
From the above information, find what was the time when the car had covered a distance of 100 km since it’s start?
Question 289 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceb5f59b460d7261f086.PNG' />
In the above fig, find coordinates of O,A,B,C.
Question 290 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d00ff59b460d7261f26e.png' />
The following graph above shows the temperature forecast and the actual temperature for each day of a week. What was the minimum actual temperature during the week?
Question 291 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d00bf59b460d7261f268.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the graph above.During which week did Plant A grow most ?
Question 292 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cebbf59b460d7261f08e.PNG' />
From the above table, draw a graph and answer the following. To get an interest of Rs. 280 per year, how much money should be deposited ?
Question 293 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d014f59b460d7261f273.png' />
In the above graph, it shows the interest on deposits for a year.To get an interest of ₹ 280 per year, how much money should be deposited?
Question 294 :
The coordinates of the origin are (0, 0). Is it true or false ?
Question 295 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d00cf59b460d7261f269.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the graph above. How much did Plant B grow from the end of the 2nd week to the end of the 3rd week ?
Question 296 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce9df59b460d7261f064.PNG' />
In the above graph, use the graph to find how much petrol can be purchased for Rs 800.
Question 297 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceaef59b460d7261f07c.PNG' />
In the above fig, what was the minimum actual temperature during the week?
Question 298 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceb6f59b460d7261f087.PNG' />
In the above fig, find coordinates of P,Q,R,S.
Question 299 :
Ajit can ride a scooter constantly at a speed of 30 kms/hour. Draw a time-distance graph for this situation. Use it to find the distance covered by Ajit in 3.5 hours.
Question 300 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d00cf59b460d7261f26a.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the graph above.During which week did Plant B grow least ?
Question 301 :
Let $abc$ be a three-digit number. Then $abc-cba$ is not divisible by
Question 302 :
Check what the result would have been if Sundaram had chosen : 17
Question 305 :
Check what the result would have been if Sundaram had chosen : 27
Question 313 :
If 21y5 is a multiple of 9, where y is digit, what is the value of y ?
Question 315 :
A six-digit number is formed by repeating a three-digit number. For example 256256, 678678, etc. Any number of this form is divisible by
Question 320 :
If $5\ A+25$ is equal to B 2, then the value of $A+B$ is
Question 321 :
$756x$ is a multiple of 11, find the value of $x$.
Question 323 :
Check what the result would have been if Minakshi had chosen 737. In each case keep a record of the quotient obtained at the end.
Question 324 :
If the division $\frac{N}{5}$ leaves a remainder of 4, what might be the one's digit of N?
Question 326 :
Find the value of $k$ where $31k2$ is divisible by 6.
Question 327 :
What would be the value of y, if $277y$ is divisible by 11 ?
Question 328 :
A four-digit number $abcd$ is divisible by 11, if $d+b$= ___ .
Question 333 :
If $\stackrel{\underline{\begin{matrix}&A&B\\\times&A&B\end{matrix}}}{\underline{\begin{matrix}6&A&B\end{matrix}}}$ , then find the valur of A and B.
Question 334 :
If $abc$ is a three digit number, then the number $abc-a-b-c$ is divisible by
Question 335 :
If $B\times B$ = AB, then either $A=2$, $B=5$ or A =___, B = ___.
Question 337 :
If $\stackrel{\underline{\begin{matrix}&1&P\\&\times&P\end{matrix}}}{\underline{\begin{matrix}&Q&6\end{matrix}}}$ where $Q-P=3$, then find the values of P and Q.
Question 339 :
$212x5$ is a multiple of 3 and 11. Find the value of $x$.
Question 340 :
Check what the result would have been if Sundaram had chosen : 18
Question 342 :
Check what the result would have been if Sundaram had chosen : 39
Question 343 :
Find the least value that must be given to a number $a$ so that the number $91876a2$ is divisible by 8.
Question 344 :
Check what the result would have been if Sundaram had chosen 37.
Question 346 :
State true or False. Let $ab$ be a two digit number, then $ab+ba$ is divisible by 9.
Question 350 :
Check what the result would have been if Sundaram had chosen 21.
Question 351 :
Find the height of a cylinder whose radius is 7 cm and the total surface area is $968 cm^2$.
Question 352 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cecdf59b460d7261f0a9.png' />
In the above image, perimeter of the figure is ?
Question 353 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee7f59b460d7261f0ce.jpg' />
In the above image, find the height.
Question 354 :
A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area $1,080 m^{2}$ ? (If required you can split the tiles in whatever way you want to fill up the corners).
Question 355 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec6f59b460d7261f09e.jpg' />
In the above image, identify the shape.
Question 356 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee9f59b460d7261f0d1.jpg' />
In the above image, find the height.
Question 357 :
A closed cylindrical tank of radius 7m and height 3 m is made from a sheet of metal. How much sheet of metal is required ?
Question 358 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceeff59b460d7261f0d9.png' />
In the above image, the shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. The area of this garden [Length of rectangle is 20 – (3.5 + 3.5) metres].
Question 359 :
1 cubic cm = 1 cm $\times$ 1 cm $\times$ 1 cm = ?
Question 360 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d025f59b460d7261f28c.png' />
In the above image, The lateral surface area of a hollow cylinder is $4,224 \ cm^{2}$ . It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet.
Question 361 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec6f59b460d7261f09f.jpg' />
In the above image, identify the shape.
Question 362 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cecaf59b460d7261f0a5.png' />
In the above image, area of the figure is ?
Question 363 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d01cf59b460d7261f27e.png' />
From the above figure, Length of the fence of a trapezium shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.
Question 364 :
If each edge of a cube is doubled,how many times will its volume increase?
Question 365 :
The area of a trapezium is $34 cm^2$ and the length of one of the parallel sides is 10 cm and its height is 4 cm. The length of the other parallel side will be ?
Question 366 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec0f59b460d7261f096.jpg' />
In the above image, a rectangular park whose length is 30 m and width is 20 m is shown. There is a path of one metre width running inside along the perimeter of the park that has to be cemented. Area of park not cemented = ?
Question 367 :
Given a cylindrical tank, in which situation will you find surface area?
Question 368 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceedf59b460d7261f0d5.png' />
In the above image, find the volume.
Question 369 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef1f59b460d7261f0db.png' />
In the above image, an ant is moving around those few food pieces of different shapes(As shown) scattered on the floor. For which food-piece would the ant have to take a longer round? Remember,circumference of a circle can be obtained by using the expression C = 2πr, where r is the radius of the circle.
Question 370 :
The volume of a cube with a side 1.5 m is ?
Question 371 :
An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round? Remember, circumference of a circle can be obtained by using the expression c = $2 \pi r$, here r is the radius of the circle.
Question 372 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d027f59b460d7261f28e.png' />
From the above image, Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is 108 $m^{3}$, find the number of hours it will take to fill the reservoir.
Question 373 :
A road roller takes 750 complete revolutions to move once over to level a road. The area of the road if the diameter of a road roller is 84 cm and length is 1 m will be ?
Question 374 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced2f59b460d7261f0b0.jpg' />
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1acf78c526e972caf069.jpg' />
In the above image, the area of this triangle and the area of the trapezium WXYZ are same. (T/F)
Question 375 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cedff59b460d7261f0c3.JPG' />
In the above figure, the surface area of cylinder is ______.
Question 376 :
Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of 15 m, 10 m and 7 m respectively. From each can of paint, $100 m^2$ of area is painted. How many cans of paint will she need to paint the room?
Question 377 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee3f59b460d7261f0c8.jpg' />
In the above image, find the volume.
Question 378 :
The internal measures of a cuboidal room are 12 m $\times$ 8 m $\times$ 4 m. Find the total cost of whitewashing all four walls of a room, if the cost of white washing is Rs 5 per $m^2$.
Question 379 :
The line segment in cylinders joining the center of circular faces is perpendicular to the base. Such cylinders are known as ......... circular cylinders
Question 380 :
Arrange 64 cubes of equal size in as many ways as you can to form a cuboid. Can solid shapes of same volume have same surface area?
Question 381 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceedf59b460d7261f0d6.png' />
In the above image, a rectangular paper of width 14 cm is rolled along its width and a cylinder of radius 20 cm is formed. What is the volume of the cylinder?(Take $\frac{22}{7}$ for $\pi$)
Question 382 :
Find the length of other diagonal whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long.
Question 383 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee5f59b460d7261f0cb.jpg' />
In the above image, find the volume.
Question 384 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d01bf59b460d7261f27d.png' />
From the above figure, The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1m and 1.2 m and perpendicular distance between them is 0.8 m.
Question 385 :
A cuboid has a volume of $275 cm^3$ and base area of $25 cm^2$. What is its height ?
Question 386 :
The floor of a building consists of 3,000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per $m^{2}$ is ₹ 4.
Question 388 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef8f59b460d7261f0e6.png' />
In the above image, a company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height 20 cm. Company places a label around the surface of the container (as shown in the figure above). If the label is placed 2 cm from top and bottom, what is the area of the label ?
Question 389 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cedbf59b460d7261f0be.JPG' />
In the above image, find the area of polygon MNOPQR. If MP = 9 cm, MD = 7 cm, MC = 6 cm, MB = 4 cm, MA = 2 cm. NA, OC, QD and RB are perpendiculars to diagonal MP.
Question 390 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d01ef59b460d7261f281.png' />
From the figure given above, Top surface of a raised platform is in the shape of a regular Octagon as shown in the figure. Find the area of the octagonal surface.
Question 391 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cecbf59b460d7261f0a6.png' />
In the above image, area of the figure is ?
Question 392 :
Given a cylindrical tank, to find how much it can hold, will you find surface area or volume.
Question 393 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d023f59b460d7261f288.png' />
From the above figure, Describe how the two figures are alike?
Question 394 :
If each edge of a cube is doubled, how many times will its surface area increase?
Question 395 :
Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm.
Question 396 :
The area of a trapezium shaped field is $480 m^2$ , the distance between two parallel sides is 15 m and one of the parallel side is 20 m. The other parallel side is ?
Question 397 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceccf59b460d7261f0a7.png' />
In the above image, area of the figure is ?
Question 398 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef4f59b460d7261f0e0.png' />
In the above image, top surface of a raised platform is in the shape of a regular octagon as shown. The area of the octagonal surface is ?
Question 399 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee2f59b460d7261f0c7.jpg' />
In the above image, find the length.
Question 400 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d018f59b460d7261f278.png' />
From the above figure, the shape of a garden is rectangular in the middle and semi circular at the ends as shown. Find the area of this garden [Length of rectangle is 20-(3.5 + 3.5) metres].
Question 404 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf76f59b460d7261f193.png' />
In the above number line, write the rational number labelled with a letter I.
Question 405 :
State Yes or No : Is 0.3 the multiplicative inverse of $3\frac{1}{3}$?
Question 407 :
Which of these rational numbers lie between $\frac{1}{4}$ and $\frac{1}{2}$ ?
Question 410 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf77f59b460d7261f194.png' />
In the above number line, write the rational number labelled with a letter A.
Question 412 :
Which rational number does not lie between $\frac{-2}{5}$ and $\frac{1}{2}$ ?
Question 413 :
Which rational number does not lie between $\frac{3}{5}$ and $\frac{3}{4}$ ?
Question 414 :
Solve $\left[ \dfrac{7}{5}\times \left( \dfrac{-3}{12}\right) \right] +\left[ \dfrac{7}{5}\times \dfrac{5}{12}\right] $ using distributivity.
Question 416 :
The product of two rational numbers is always a rational number. TRUE or FALSE ?
Question 418 :
Which of these rational numbers lie between $-\frac{5}{6}$ and $\frac{5}{8}$ ?
Question 423 :
Tell what property allows you to compute $\frac{1}{3}\times [6\times \frac{4}{3}]$ as $[\frac{1}{3}\times 6]\times \frac{4}{3}$.
Question 424 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf73f59b460d7261f18f.png' />
In the above number line, write the rational number labelled with a letter D.
Question 425 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf77f59b460d7261f195.png' />
In the above number line, write the rational number labelled with a letter F.
Question 427 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf71f59b460d7261f18c.png' />
In the above number line, write the rational number labelled with a letter E.
Question 432 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf72f59b460d7261f18e.png' />
In the above number line, write the rational number labelled with a letter C.
Question 440 :
Which of the following options contain 5 rational numbers which are smaller than 2 ?
Question 443 :
Name the property under multiplication used in $\frac{-13}{17}\times\frac{-2}{7}$ = $\frac{-2}{7}\times\frac{-13}{17}$ .
Question 448 :
Which rational number does not lie between $\frac{-3}{2}$ and $\frac{5}{3}$ ?
Question 449 :
For all rational numbers a, b and c, $a(b – c) = ab – ac$. TRUE or FALSE ?
Question 450 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf74f59b460d7261f191.png' />
In the above number line, write the rational number labelled with a letter H.
Question 452 :
Find the measure of each exterior angle of a regular polygon of 9 sides.
Question 453 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad478c526e972caf079.png' />
From above figure identify all the Simple closed curves .
Question 457 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cdbaf59b460d7261ef2f.png' />
Is the figure given above a closed curve?
Question 458 :
State true or false. A convex polygon is a polygon in which no portion of its any diagonal is in its exterior.
Question 459 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d031f59b460d7261f29d.png' />
Classify the above image on the basis of following options.
Question 460 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf82f59b460d7261f1a4.jpeg' />
From the above figure, find the measure $x$.
Question 461 : Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf14f59b460d7261f10c.png' />
What can you say about the angle sum of a convex polygon with number of sides as 7?
Question 464 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cdbbf59b460d7261ef30.png' />
Is the figure given above a concave polygon?
Question 465 :
For getting diagonals through vertex A of a pentagon ABCDE, A is joined to________.
Question 466 :
State true or false. A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given.
Question 467 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d039f59b460d7261f2a8.png' />
In the above image, find the values of the unknowns x, y, z.
Question 468 :
What is the maximum exterior angle possible for a regular polygon?
Question 469 :
Based on the nature of the sides or angles of a quadrilateral, it gets special names.
TRUE or FALSE ?
Question 474 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d02df59b460d7261f297.png' />
Classify the above image on the basis of following options.
Question 475 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d033f59b460d7261f2a0.png' />
In the above image, find x + y + z.
Question 476 :
Find the measures of each exterior angle of a regular polygon of 9 sides.
Question 477 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d033f59b460d7261f29f.png' />
In the above image, find the measure of angle x.
Question 478 : Given below a parallelogram ABCD
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf18f59b460d7261f112.png' />
Complete the statement-
OC = ......
Question 479 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d03af59b460d7261f2a9.png' />
In the above image, find the values of the unknowns x, y, z.
Question 481 : Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf0ff59b460d7261f106.png' />
What can you say about the angle sum of a convex polygon with number of sides as 8?
Question 482 :
Name the quadrilaterals whose diagonals are perpendicular bisectors of each other.
Question 485 :
How many sides does a regular polygon have if each of its interior angles is 165°?
Question 486 : In the below Fig
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf0cf59b460d7261f102.png' />
HELP is a parallelogram. (Lengths are in cms). Given that OE = 4 and HL is 5 more than PE?
Find OH.
Question 487 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d03ef59b460d7261f2af.png' />
In the above image, RUNS is a parallelogram. Find the value of x and y. (Lengths are in cm).
Question 489 :
State true or false. In a parallelogram, opposite sides are equal, opposite angles are equal and diagonals bisect each other.
Question 492 : Take quadrilateral ABCD, with angles as shown
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf08f59b460d7261f0fc.png' />
Arrange them as shown in the figure,
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad378c526e972caf078.png' />
where angles ∠1, ∠2, ∠3, ∠4 meet at a point .What can you say about the sum of the angles ∠1, ∠2, ∠3 and ∠4?
Question 493 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf09f59b460d7261f0fd.png' />
In the above given fig, What is the sum of the measures of its exterior angles $x, y, z, p, q, r$?
Question 494 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d03bf59b460d7261f2ab.png' />
In the above image, find the values of the unknowns x, y, z.
Question 496 :
What is the angle sum of a convex polygon with 10 sides?
Question 497 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad278c526e972caf075.png' />
Can you name the diagonals in the above figure?
Question 500 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cdbcf59b460d7261ef32.png' />
In the above figure, PQRS is a parallelogram, the bisectors of $\angle{P}$ and $\angle{Q}$ meet at O. What will be the value of $\angle{POQ}$?
Question 501 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf3ff59b460d7261f14b.JPG' />
Look at the above given map of a city. Which is further east, the city park or the market?
Question 502 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf35f59b460d7261f13c.JPG' />
In the above fig, which of them represents the side view of the object ?
Question 503 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfabf59b460d7261f1e1.png' />
From the above given image, answer the following: Identify the front view for the given solid among the given views.
Question 504 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf37f59b460d7261f140.JPG' />
In the above fig, which of them represents the front view of the object ?
Question 505 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf23f59b460d7261f122.JPG' />
In the above fig, how many of these are 2-dimensional ?
Question 506 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfb6f59b460d7261f1f2.png' />
From the above given image, answer the following: Identify the top view of the given object.
Question 507 :
Can a polyhedron have for its faces a square and four triangles?
Question 508 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfb4f59b460d7261f1ee.png' />
From the above given image, answer the following: Identify the side view of the given object.
Question 509 :
Can a polyhedron have for its faces a square and four triangles?
Question 510 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf28f59b460d7261f129.JPG' />
In the above fig is shown a circular park. Which of the following correctly represents its shape ?
Question 511 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfe3f59b460d7261f233.png' />
From the above given map of a city answer the following: Which is further south, the primary school or the Sr. Secondary School?
Question 512 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d048f59b460d7261f2bd.png' />
From the above table, using Euler's formula, find the value of unknown face.
Question 514 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf3af59b460d7261f144.JPG' />
In the above fig, which of them represents the top view of the object ?
Question 515 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf30f59b460d7261f135.JPG' />
In the above fig, find the correct order of the views given alongside the object.
Question 516 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d047f59b460d7261f2bb.png' />
For the above figure, is Euler's formula valid?
Question 517 :
Solids containing polygon faces, edges and vertices are called polyhedrons. TRUE or FALSE ?
Question 518 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfc7f59b460d7261f20a.png' />
From the above given image, answer the following: Identify the top view for the given object.
Question 519 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfaef59b460d7261f1e5.png' />
From the above given image, answer the following: Identify the top view for the given solid among the given views.
Question 521 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf37f59b460d7261f13f.JPG' />
In the above fig, which of them represents the top view of the object ?
Question 523 :
For any polyhedron, no. of faces (F), no. of edges(E) and no. of vertices(V) is related as ?
Question 524 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfb0f59b460d7261f1e9.png' />
From the above given image, answer the following: Identify the side view for the given solid among the given views.
Question 525 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfe2f59b460d7261f232.png' />
From the above given map of a city answer the following: Which is further east, the city park or the market?
Question 526 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d048f59b460d7261f2bc.png' />
For the above figure, is Euler's formula valid?
Question 527 :
A polyhedron is said to be regular if its faces are made up of regular polygons and the same number of faces meet at each vertex. TRUE or FALSE ?
Question 528 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d04af59b460d7261f2bf.png' />
From the above table, using Euler's formula, find the value of unknown edge(s).
Question 529 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfd0f59b460d7261f216.png' />
From the above given image, answer the following: Identify the top view for the given object.
Question 530 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf2cf59b460d7261f12f.JPG' />
In the above fig, how many convex polyhedrons are there ?
Question 531 :
A pyramid becomes a cone as the number of sides of its base becomes larger and larger. TRUE or FALSE ?
Question 533 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfadf59b460d7261f1e3.png' />
From the above given image, answer the following: Identify the side view for the given solid among the given views.
Question 534 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf2ff59b460d7261f134.JPG' />
In the above fig, find the correct order of the views given alongside the object.
Question 535 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf8cf59b460d7261f1b3.png' />
From the above given image, answer the following: Identify the corresponding side view for the above solid figure.
Question 537 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf2ef59b460d7261f132.JPG' />
In the above fig, find out which of the following correctly represents the side view and top view of fig. (d) CUP AND SAUCER
Question 538 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfdcf59b460d7261f229.png' />
From the above given image, answer the following: Identify the side view for the given object.
Question 539 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf2af59b460d7261f12d.JPG' />
In the above fig, find out how many squares can be seen in the top view ?
Question 540 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfe5f59b460d7261f235.png' />
From the above given image, answer the following: Is the above object a prism or not?
Question 542 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf29f59b460d7261f12b.JPG' />
In the above fig, find out how many squares can be seen in the side view ?
Question 543 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf2af59b460d7261f12c.JPG' />
In the above fig, find out how many squares can be seen in the front view ?
Question 544 :
In how many ways can we view a 3D object ?
Question 545 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf8af59b460d7261f1af.png' />
From the above given image, answer the following: Identify the corresponding front view for the above solid figure.
Question 546 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf3bf59b460d7261f146.JPG' />
In the above fig, which of them represents the front view of the object ?
Question 547 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf40f59b460d7261f14d.JPG' />
In the above fig, which of them are prisms ?
Question 548 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf24f59b460d7261f123.JPG' />
In the above fig, how many of these are 3-dimensional ?
Question 549 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf86f59b460d7261f1aa.png' />
From the above given image, answer the following: Identify the corresponding top view for the above solid figure.
Question 550 :
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Question 554 :
What will be the product of first monomial $3x^2$ and second monomial $-4xy$ ?
Question 555 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc1cf59b460d7261ed0b.png' />
From the above image, find the length of the side of the given square if area of the square is 625 square units.
Question 557 :
Simplify: $(a + b) (2a – 3b + c) – (2a – 3b) c$.
Question 559 :
Subtract $4p^2q – 3pq + 5pq^2 – 8p + 7q – 10$ from $18 – 3p – 11q + 5pq – 2pq^2 + 5p^2q$
Question 561 :
An identity is an equality, which is true for all values of the variables in the equality.Is it TRUE or FALSE?
Question 563 :
Is $(4pq + 3q)^2 – (4pq – 3q)^2 = 48pq^2$ ?
Question 564 :
Use a suitable identity to get the following product : $(x+3)(x+3)$
Question 566 :
Find the area of a rectangle whose length and breadth are 3x and 5y respectively.
Question 568 :
Subtract: $3l (l – 4 m + 5 n) \ from \ 4l ( 10 n – 3 m + 2 l )$
Question 570 :
Obtain the product of the following pair of monomials : 4p, 0
Question 573 :
Use a suitable identity to get the following product : $\left(a^2+b^2\right)\left(-a^2+b^2\right)$
Question 576 :
Standard identities allow easy alternative methods to calculate products of numbers and so on.Is it TRUE or FALSE?
Question 577 :
What will be the product of first monomial $-5y$ and second monomial $7x^2y$ ?
Question 578 :
The product of two expressions is $x^5 + x^3 + x$. If one of them is $x^2 + x+ 1$, find the other.
Question 580 :
An expression containing, one or more terms with non-zero coefficient (with variables having non negative integers as exponents) is called a __________.
Question 582 :
State true or false. An irreducible factor is a factor which cannot be expressed further as a product of factors.
Question 583 :
How many monomials are there in the list? $x + y$, $1000$, $x + x^2 + x^3 + x^4$, $7 + y + 5x$, $2y – 3y^2$, $2y – 3y^2 + 4y^3$, $5x – 4y + 3xy$, $4z – 15z^2$, $ab + bc + cd + da$, $pqr$, $p^2q + pq^2$, $2p + 2q$
Question 585 :
Multiply the binomials: $(\frac{3}{4}a^2 + 3b^2 ) \ and \ 4(a^2 – \frac{2}{3}b^2 )$
Question 587 :
Using $a^2 - b^2 = (a + b)(a - b)$, find: $51^2 – 49^2$
Question 588 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $(p, q)$
Question 592 :
Simplify the expression and evaluate: $3y (2y – 7) – 3 (y – 4) – 63$ for y = -2.
Question 593 :
Using the Identity (I) : $(a+b)^2 = a^2 + b^2 + 2ab$ ,find $(103)^2$
Question 594 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1acd78c526e972caf062.PNG' />
Which of the following options represent the expression of point C given in the above figure ?
Question 595 :
Find the product of the pair of monomials : $-4p , 7pq$
Question 596 :
State true or false: 4l and -7l are like terms, which are like 2l.
Question 599 :
Which of the following is(are) binomial(s) with only x as a variable?
Question 600 :
Multiply the binomials: $(2x + 5) \ and \ (4x – 3)$
Question 605 :
Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?
Question 607 :
Find the smallest number by which 100 must be multiplied to obtain a perfect cube.
Question 608 :
Find the smallest number by which 243 must be multiplied to obtain a perfect cube.
Question 610 :
State True or false. There is no perfect cube which ends with 8.
Question 612 :
Find the smallest number by which 135 must be divided to obtain a perfect cube.
Question 618 :
Find the smallest number by which 128 must be divided to obtain a perfect cube.
Question 621 :
The cube of a two digit number may have seven or more digits. Is it true or false ?
Question 622 :
Consider the series 57+59+61+63+65+67+69+71. The sum of this series is equal to ?
Question 625 :
State True or false. The cube of a two digit number may have seven or more digits.
Question 626 :
Find the smallest number by which 100 must be multiplied to obtain a perfect cube
Question 628 :
Consider the series 43+45+47+49+51+53+55. The sum of this series is equal to ?
Question 629 :
State True or false. The cube of a two digit number may be a three digit number.
Question 631 :
Find the smallest number by which 704 must be divided to obtain a perfect cube.
Question 633 :
Find the smallest number by which 256 must be multiplied to obtain a perfect cube.
Question 635 :
How many consecutive odd numbers will be needed to obtain the sum as 1000 (Hint: 1000 = cube of 10)?
Question 639 :
State True or false. Cube of any odd number is even.
Question 642 :
Find the smallest number by which 192 must be divided to obtain a perfect cube.
Question 643 :
Find the smallest number by which 81 must be divided to obtain a perfect cube.
Question 649 :
How many cubes of side 1 cm will make a cube of side 3 cm?
Question 650 :
Cube of any odd number is even. Is it true or false ?
Question 651 :
Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.
Question 652 :
Find the number of plants in each row if 1024 plants are arranged so that number of plants in a row is the same as the number of rows.
Question 654 :
Find the length of each side of a cube if its volume is 512 $cm^3$.
Question 655 :
The area of a rectangular field whose length is twice its breadth is 2450 $m^2$. Find the perimeter of the field.
Question 657 :
Number obtained when a number is multiplied by itself is called
Question 658 :
Find the least number of four digits that is a perfect square.
Question 659 :
The positive square root of a number x is denoted by
Question 660 :
Using prime factorisation, find which of the following is perfect cube.
Question 661 :
Given that $\sqrt{4096}$ = 64, the value of $\sqrt{4096}$ + $\sqrt{40.96}$ is
Question 662 :
Cube of an odd number is even. Is it true or false ?
Question 664 :
Check whether 90 is a perfect square or not by using prime factorisation.
Question 665 :
For an integer a, $a^3$ is always greater than $a^2$. Is it true or false ?
Question 666 :
A square board has an area of 144 square units. How long is each side of the board?
Question 667 :
The square of 86 will have 6 at the units place. Is it true or false ?
Question 668 :
A perfect square can never have the following digit at ones place.
Question 669 :
All numbers of a pythagorean triplet are odd. Is it true or false ?
Question 670 :
A number having 7 at its ones place will have 3 at the ones place of its cube. Is it true or false ?
Question 671 :
If one side of a cube is 15 m in length, find its volume.
Question 672 :
Cube roots of 8 are +2 and –2. Is it true or false ?
Question 673 :
If one member of a pythagorean triplet is 2m, then the other two members are
Question 676 :
Using prime factorisation, find which of the following is perfect cube.
Question 677 :
The square of 2.8 is 78.4. Is it true or false ?
Question 678 :
A perfect square can never have the following digit in its ones place.
Question 680 :
Which of the following will have 1 at its units place?
Question 681 :
The perimeters of two squares are 40 and 96 metres respectively. Find the perimeter of another square equal in area to the sum of the first two squares.
Question 682 :
What will be the number of unit squares on each side of a square graph paper if the total number of unit squares is 256?
Question 683 :
What is the least number that should be added to 6200 to make it a perfect square?
Question 684 :
There are five perfect cubes between 1 and 100. Is it true or false ?
Question 685 :
A number ending in 9 will have the units place of its square as
Question 686 :
Find the square root of 324 by the method of repeated subtraction.
Question 687 :
A three digit perfect square is such that if it is viewed upside down, the number seen is also a perfect square. What is the number?
Question 689 :
Check whether 1728 is a perfect cube by using prime factorisation.
Question 690 :
A perfect square number having n digits where n is even will have square root with
Question 691 :
A number having 7 at its ones place will have 3 at the units place of its square. Is it true or false ?
Question 693 :
Find the smallest perfect square divisible by 3, 4, 5 and 6.
Question 694 :
Which of the following is a square of an even number?
Question 695 :
The square of every natural number is always greater than the number itself. Is it true or false ?
Question 697 :
The least number to be multiplied with 9 to make it a perfect cube is
Question 698 :
During a mass drill exercise, 6250 students of different schools are arranged in rows such that the number of students in each row is equal to the number of rows. In doing so, the instructor finds out that 9 children are left out. Find the number of children in each row of the square.
Question 724 :
Factorise the expression and divide it as directed $(m^2-14m -32)\div (m+2)$.
Question 737 :
Is it TRUE or FALSE, substituting x = -3 in $x^2+5x+4x$ gives $(-3)^2+5(-3)+4 = 9+2+4=15$ ?
Question 751 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce6ff59b460d7261f023.PNG' />
According to the above table, suppose a car uses 4 litres of petrol to travel a distance of 60 km. How far will it travel using 15 litres?
Question 752 :
A contractor estimates that 3 persons could rewire Jasminder's house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?
Question 753 :
If two students take 20 minutes to arrange chairs for an assembly, then how much time would five students take to do the same job?
Question 754 :
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time, the length of the shadow cast by another pole 10 m 50 cm high.
Question 755 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce7ff59b460d7261f03a.PNG' />
Observe the following tables and find which pair of variables (here x and y) are in inverse proportion.
Question 756 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cff7f59b460d7261f24d.jpg' />
Refer to the above image. In a Television game show, the prize money of Rs.1,00,000 is to be divided equally amongst the winners. What is the prize money for each winner if the number of winners = 4 ?
Question 757 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cffbf59b460d7261f253.jpg' />
In the above image, refer the table shown. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. What is the angle between a pair of consecutive spokes if the number of spokes is 8 ?
Question 758 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce74f59b460d7261f02a.PNG' />
In the above image, find whether x and y are directly proportional.
Question 759 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce87f59b460d7261f046.PNG' />
In the above image, given that a Television game show, the prize money of Rs. 1,00,000 is to be divided equally amongst the winners. How much will each of the winners get if there were 20 winners ?
Question 760 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cff3f59b460d7261f248.jpg' />
In the above image, the table shows a mixture of paint that is prepared by mixing 1 part of red pigments with 8 parts of base. Find the parts of base that needs to be added when the parts of red pigment = 4.
Question 761 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce82f59b460d7261f03e.PNG' />
In the above image, given that a mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the above table, find the parts of base that need to be added for 7 parts of red pigment.
Question 762 :
Suppose 2 kg of sugar contains $9\times 10^{6}$ crystals. How many sugar crystals are there 1.2 kg of sugar?
Question 763 :
A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
Question 764 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce70f59b460d7261f024.PNG' />
According to the above table, suppose a car uses 4 litres of petrol to travel a distance of 60 km. How far will it travel using 20 litres?
Question 765 :
If we increase the speed, the time taken to cover a given distance ____________.
Question 766 :
Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?
Question 767 :
A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?
Question 768 :
Is the following in inverse proportion?
The time taken for a fixed journey and the speed of the vehicle.
Question 769 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce81f59b460d7261f03d.PNG' />
In the above image, given that a mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the above table, find the parts of base that need to be added for 4 parts of red pigment.
Question 770 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce71f59b460d7261f026.PNG' />
In the above fig, the angle turned by the minute hand from its original position and the time that has passed is mentioned. What is the value of $A_{2}$ ?
Question 771 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cff6f59b460d7261f24c.jpg' />
In the above image, the table shows a mixture of paint that is prepared by mixing 1 part of red pigments with 8 parts of base. If 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800 ml of base ?
Question 772 :
The population of a country and the area of land per person. Is this in inverse proportion?
Question 773 :
Area of cultivated land and the crop harvested. Is this in inverse proportion?
Question 774 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce7bf59b460d7261f034.PNG' />
In the above image, given a train is moving at a uniform speed of 75 km/hour. Use the table given in the above fig. to find the time required to cover a distance of 250 km.
Question 775 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cffef59b460d7261f258.jpg' />
In the above image, refer the table shown. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. How many spokes would be needed, if the angle between a pair of consecutive spokes is 40°?
Question 776 :
A 5 m 60 cm high vertical pole casts a shadow 3 m 20cm long. Find at the same time the length of the shadow cast by another pole 10 m 50 cm high.
Question 777 :
A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?
Question 778 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce8cf59b460d7261f04d.PNG' />
In the above image, given that Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
Question 779 :
The scale of a map is given as 1:30000000. Two cities are 4 cm apart on the map. Find the actual distance between them.
Question 780 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce76f59b460d7261f02d.PNG' />
In the above image, given that the cost of 5 metres of a particular quality of cloth is Rs. 210. Tabulate the cost of 2 metres of cloth of the same type using the table.
Question 781 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cff4f59b460d7261f24a.jpg' />
In the above image, the table shows a mixture of paint that is prepared by mixing 1 part of red pigments with 8 parts of base. Find the parts of base that needs to be added when the parts of red pigment = 20.
Question 782 :
For a given job, more the number of workers, ______ will be the time taken to complete the work.
Question 783 :
Following are the car parking charges near a railway station up to: 4 hours = Rs.60, 8 hours = Rs.100, 12 hours = Rs.140, 24hours = Rs.180 Check if the parking charges are in direct proportion to the parking time.
Question 784 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cffcf59b460d7261f255.jpg' />
In the above image, refer the table shown. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. What is the angle between a pair of consecutive spokes if the number of spokes is 12 ?
Question 786 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce73f59b460d7261f029.PNG' />
In the above fig, the angle turned by the minute hand from its original position and the time that has passed is mentioned. Calculate the value of $A_{2}$, $A_{3}$ and $A_{4}$. Is $\frac{T}{A}$ value same in all the cases ?
Question 787 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cff7f59b460d7261f24e.jpg' />
Refer to the above image. In a Television game show, the prize money of Rs.1,00,000 is to be divided equally amongst the winners. What is the prize money for each winner if the number of winners = 5 ?
Question 788 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce85f59b460d7261f043.PNG' />
In the above image, given that a Television game show, the prize money of Rs. 1,00,000 is to be divided equally amongst the winners. How much will each of the winners get if there were 5 winners ?
Question 789 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce81f59b460d7261f03c.PNG' />
Observe the following tables and find which pair of variables (here x and y) are in inverse proportion.
Question 790 :
The time taken for a journey and the distance travelled in a uniform speed. Is this in inverse proportion?
Question 791 :
6 pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same type are used?
Question 792 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cffdf59b460d7261f256.jpg' />
In the above image, refer the table shown. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Are the number of spokes and the angles lormed between the pairs of consecutive spokes in inverse proportion?
Question 793 :
The time taken lor a fixed journey and the speed of the vehicle. Is this in inverse proportion?
Question 794 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce78f59b460d7261f030.PNG' />
In the above image, given the cost of 5 metres of a particular quality of cloth is Rs. 210. Tabulate the cost of 13 metres of cloth of the same type using the table.
Question 795 :
When the number of workers increases, time taken to finish the job __________.
Question 796 :
Two persons could fit new windows in a house in 3 days. How many persons would be needed to fit the windows in one day?
Question 797 :
Suppose 2 kg of sugar contains $9 × 10^6$ crystals. How many sugar crystals are there in 5 kg of sugar?
Question 798 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce78f59b460d7261f02f.PNG' />
In the above image, given the cost of 5 metres of a particular quality of cloth is Rs. 210. Tabulate the cost of 10 metres of cloth of the same type using the table.
Question 799 :
If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
Question 800 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce77f59b460d7261f02e.PNG' />
In the above image, given the cost of 5 metres of a particular quality of cloth is Rs. 210. Tabulate the cost of 4 metres of cloth of the same type using the table.
Question 801 :
Can you construct a quadrilateral PQRS with PQ = 3 cm, RS = 3 cm, PS = 7.5 cm, PR = 8 cm and SQ = 4 cm?
Question 802 :
A student attempted to draw a quadrilateral PLAY where PL = 3 cm, LA = 4 cm, AY = 4.5 cm, PY = 2 cm and LY = 6 cm. Was he able to draw it?
Question 803 :
Arshad has five measurements of a quadrilateral ABCD. These are AB = 5 cm, $\angle A = 50^{\circ}$, AC = 4 cm, BD = 5 cm and AD = 6 cm. Can he construct a unique quadrilateral?
Question 804 :
We saw that 5 measurements of a quadrilateral can determine a quadrilateral uniquely. Do you think any five measurements of the quadrilateral can do this?
Question 805 :
State true or false. A quadrilateral can be constructed uniquely if its two adjacent sides and three angles are known.
Question 806 :
When four sides and a diagonal were given, we first draw a triangle with the available data and then tried to locate the fourth point. TRUE OR FALSE?
Question 807 :
Can you draw a parallelogram BATS where BA = 5 cm, AT = 6 cm and AS = 6.5 cm?
Question 808 :
Can you draw a rhombus ZEAL where ZE = 3.5 cm, diagonal EL = 5 cm?
Question 809 :
In a parallelogram, the lengths of adjacent sides are known. Do we still need measures of the angles to construct it?
Question 810 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf03f59b460d7261f0f5.PNG' />
Can you construct the above quadrilateral MIST if we have 100° at M instead of 75°?
Question 811 :
State true or false. A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal is given.
Question 812 :
State true or false. A quadrilateral can be constructed uniquely if its two diagonals and three sides are known.
Question 813 :
State true or false. Five measurements can determine a quadrilateral uniquely.
Question 814 :
Can you construct the quadrilateral PLAN if PL = 6 cm, LA = 9.5 cm, ∠P = 75°, ∠L =150° and ∠A = 140°?
Question 815 :
State true or false. A quadrilateral can be constructed uniquely if its three sides and two included angles are given.
Question 818 :
Deveshi has a total of Rs.590 as currency notes in the denominations of Rs.50, Rs. 20 and Rs.10. The ratio of the number of Rs.50 notes and Rs.20 notes is 3:5. If she has a total of 25 notes, how many notes of Rs 20 denomination she has?
Question 819 :
The base of an isosceles triangle is $\frac{4}{3}$ cm. The perimeter of the triangle is $4\frac{2}{15}$ cm.What is the length of either of the remaining equal sides?
Question 820 :
Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of 77, how many coins of five-rupee denomination does he have?
Question 821 :
Lakshmi is a cashier in a bank. She has currency notes of denominations Rs.100, Rs.50 and Rs.10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs.4,00,000. How many notes of Rs. 10 does she have?
Question 822 :
Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?
Question 823 :
I have a total of Rs.300 in coins of denomination Re. 1, Rs. 2 and Rs. 5. The number of Rs. 2 coins is 3 times the number of Rs. 5 coins. The total number of coins is 160. How many coins of Re. 1 are with me?
Question 824 :
The utility of linear equations is in their diverse applications; different problems on numbers, ages, perimeters, combination of currency notes, and so on can be solved using linear equations. Is it TRUE or FALSE?
Question 825 :
Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung?
Question 826 :
Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What is Shobo's mother present age?
Question 828 :
Amina thinks of a number and subtracts $\frac{5}{2}$ from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?
Question 829 :
Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung's grandfather?
Question 831 :
In an equation the values of the expressions on the LHS and RHS are _______.
Question 832 :
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs.50 per metre and trouser material that costs him Rs.90 per metre.For every 3 meters of the shirt material he buys 2 metres of the trouser material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs. 36,600.How much trouser material did he buy?
Question 836 :
One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
Question 837 :
Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find the Aman's age.
Question 838 :
Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
Question 839 :
A linear equation may have for its solution any rational number.Is it TRUE or FALSE?
Question 840 :
Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What is Shobo's present age?
Question 841 :
Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
Question 842 :
The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?
Question 844 :
The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What is the present age of Haroon?
Question 845 :
Lakshmi is a cashier in a bank. She has currency notes of denominations Rs.100, Rs.50 and Rs.10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs.4,00,000. How many notes of Rs. 100 does she have?
Question 846 :
Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.
Question 848 :
The present age of Sahil's mother is 3 times the present age of Sahil. After 5 years their ages will add to 66 years. Find the present age of Sahil's mother.
Question 849 :
Arjun is twice as old as Shriya. Five years ago his age was three times Shriya’s age. Find the present age of Shriya.
Question 850 :
There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs.100 per metre it will cost the village panchayat Rs.75000 to fence the plot. What are the dimensions of the plot?
Question 855 :
Lakshmi is a cashier in a bank. She has currency notes of denominations Rs.100, Rs.50 and Rs.10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs.4,00,000. How many notes of Rs. 50 does she have?
Question 857 :
Solve: $3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17$
Question 858 :
I have a total of Rs.300 in coins of denomination Re. 1, Rs. 2 and Rs. 5. The number of Rs. 2 coins is 3 times the number of Rs. 5 coins. The total number of coins is 160. How many coins of Rs. 5 are with me?
Question 859 :
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What is the length of the pool?
Question 861 :
An algebraic equation is an equality involving variables. It says that the value of the expression on one side of the equality sign is equal to the value of the expression on the other side.Is it TRUE or FALSE?
Question 862 :
The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?
Question 863 :
The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What is the present age of Rahul?
Question 865 :
An equation for a straight line is called a ______ equation.
Question 867 :
State true or false. The sum of two perfect squares is a perfect square.
Question 868 :
Find the square root of 169 by the method of repeated subtraction.
Question 869 :
What least number should be subtracted from 1385 to get a perfect square?
Question 870 :
What is the square root of 7744? Calculate by prime factorization method.
Question 871 :
What will be the unit digit of the square of 55555?
Question 875 :
What is the square root of 400? Calculate by prime factorization method.
Question 876 :
By repeated subtraction of odd numbers starting from 1, find whether 36 is a perfect square or not? If it is, then find it's square root.
Question 877 :
What could be the possible one's digit of the square root of 99856?
Question 878 :
Is 23453 a perfect square number? Decide by looking at it's one's digit.
Question 879 :
What is the square root of 169? Find by the method of repeated subtraction.
Question 880 :
State true or false. A number having 7 at it's one's place will have 3 at the unit's place of it's square.
Question 881 :
What is the square root of 2304? Find out by division method.
Question 883 :
By repeated subtraction of odd numbers starting from 1, find whether 49 is a perfect square or not? If it is, then find it's square root.
Question 885 :
Write the Pythagorean triplet whose one of the numbers is 4.
Question 886 :
State true or false. The square of every natural number is always greater than the number itself.
Question 887 :
If in a right triangle ABC, $\angle B$ = ${90}^\circ$, AC = 13 cm, BC = 5 cm, what is AB?
Question 888 :
2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. What is the number of rows and the number of plants in each row?
Question 889 :
Without adding, 1 + 3 + 5 + 7 + 9 =
Question 890 :
What is the square root of 529? Find out by division method.
Question 891 :
What is the square root of 576? Find out by division method.
Question 892 :
What could be the possible 'one's' digits of the square root of 9801.
Question 895 :
What is the square root of 529? Calculate by prime factorization method.
Question 896 :
Observe the following pattern and find the missing digits:-
$11^{2}$=121
$101^{2}$=10201
$1001^{2}$=1002001
$100001^{2}$=1......2.......1
$10000001^{2}$=.................
Question 899 :
What is the area of a square field if it's perimeter is 96 m?
Question 900 :
Without adding, 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 =
Question 902 :
By repeated subtraction of odd numbers starting from 1, find whether 121 is a perfect square or not? If it is, then find it's square root.
Question 903 :
What is the square root of 3136? Find out by division method.
Question 904 :
What is the least number which must be added to 252 so as to get a perfect square?
Question 905 :
Will the square of 269 be an odd number or an even number?
Question 906 :
By which smallest whole number should 396 be divided so as to get a perfect square?
Question 909 :
By which smallest whole number should 2645 be divided so as to get a perfect square?
Question 913 :
How many digits are there in the square root of 25600? Find out without calculating square roots.
Question 914 :
What is the square root of 7921? Find out by division method.
Question 915 :
What will be the 'one's digit' in the square of 1234?
Question 916 :
The population of a place increased to 54,000 in 2003 at a rate of $5\%$ per annum. What would be its population in 2005?
Question 917 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf43f59b460d7261f151.JPG' />
In the above image, a primary school, the parents were asked about the number of hours they spend per day in helping their children to do homework. There were 90 parents who help for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hour. The distribution of parents according to the time for which, they said they helped is given in the above figure, $20\%$ helped for more than $1\frac{1}{2}$ hour per day. $30\%$ helped for 1 hr to $1\frac{1}{2}$ hour; 50% did not help at all. How many parents were surveyed?
Question 918 :
On Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the percent decrease in the people visiting the Zoo on Monday?
Question 919 :
A sum is taken for one year at $16\%$ p.a. If interest is compounded after every three months, how many times will interest be charged in one year?
Question 920 :
Find the time period and rate for a sum taken for $1\frac{1}{2}$ years at $8\%$ per annum is compounded half yearly.
Question 921 :
Find the compound interest on Rs 10,000 for $1\frac{1}{2}$ years at 10% per annum, compounded half yearly.
Question 922 :
Calculate the compound interest on Rs 62,500 for $1\frac{1}{2}$ years at $8\%$ per annum compounded half yearly.
Question 923 :
The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. What would be its population in 2005?
Question 924 :
Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is Rs 1,600, find the marked price.
Question 925 :
Find the amount which Ram will get on Rs 4,096,if he gave it for 18 months at $12\frac{1}{2}$% per annum, interest being compounded half yearly.
Question 926 :
In a Laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.
Question 927 :
Calculate the compound interest on Rs 8,000 for 1 year at $9\%$ per annum compounded half yearly.
Question 928 :
Arif took a loan of Rs 80,000 from a bank. If the rate of interest is $10\%$ per annum, find the difference in amounts he would be paying after $1\frac{1}{2}$ years if the interest is compounded half yearly.
Question 929 :
60% people in a city like cricket, 30% like football and the remaining like other games. If the total number of people are 50 lakh, find the exact number who like football game.
Question 930 :
Calculate the amount on Rs 62,500 for $1\frac{1}{2}$ years at 8% per annum compounded half yearly.
Question 931 :
I borrowed Rs 12000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?
Question 932 :
A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.
Question 933 :
Calculate the compound interest on Rs 10,800 for 3 years at $12\frac{1}{2}\%$ per annum compounded annually.
Question 934 :
A table marked at Rs 15,000 is available for Rs 14,400. Find the discount given and the discount per cent.
Question 935 :
Calculate the compound interest on Rs 18,000 for $2\frac{1}{2}$ years at $10\%$ per annum compounded annually.
Question 936 :
72% of 25 students are good in Mathematics. How many are not good in Mathematics?
Question 937 :
Find the time period and rate for a sum taken for 2 years at $4\%$ per annum is compounded half yearly.
Question 938 :
The price of a TV is Rs 13,000. The sales tax charged on it is at the rate of $12\%$. Find the amount that Vinod will have to pay if he buys it.
Question 939 :
Find selling price (SP) if a profit of 5% is made on a fan bought for Rs 560 and expenses of Rs 40 made on its repairs.
Question 940 :
Maria invested Rs 8,000 in a business. She would be paid interest at 5% per compounded annually. Find the interest for the third year.
Question 941 :
During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1,450 and two shirts marked at Rs 850 each?
Question 942 :
A shopkeeper buys 80 articles for Rs 2,400 and sells them for a profit of $16\%$. Find the selling price of one article.
Question 943 :
A man got a $10\%$ increase in his salary. If his new salary is Rs 1,54,000, find his original salary.
Question 944 :
Fabina borrows Rs 12,500 at $12\%$ per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at $10\%$ per annum, compounded annually. Who pays more interest and by how much?
Question 945 :
Calculate the compound interest on Rs 10,000 for 1 year at $8\%$ per annum compounded half yearly.
Question 946 :
In a primary school, the parents were asked about the number of hours they spend per day in helping their children to do homework. There were 90 parents who helped for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hours. The distribution of parents according to the time for which, they said they helped is given ; $20\%$ helped for more than$1\frac{1}{2}$ hours per day; $30\%$ helped for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hours; $50\%$ did not help at all. How many parents were surveyed?
Question 947 :
Fabina borrows Rs 12,500 at 12% per annum for 3 years at simple interest. Radha borrows the same amount for the same time period at 10% per annum compound annually. Who pays more interest ?
Question 948 :
Calculate the compound interest on Rs 62,500 for $1\frac{1}{2}$ years at 8% per annum compounded half yearly.
Question 949 :
In a primary school, the parents were asked about the number of hours they spend per day in helping their children to do homework. There were 90 parents who helped for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hours. The distribution of parents according to the time for which, they said they helped is given ; $20\%$ helped for more than$1\frac{1}{2}$ hours per day; $30\%$ helped for $\frac{1}{2}$ hour to $1\frac{1}{2}$ hours; $50\%$ did not help at all. How many said that they did not help?
Question 950 :
Calculate the compound interest on Rs 10,800 for 3 years at $12\frac{1}{2}$%.
Question 951 :
Find selling price (SP) if a profit of 5% is made on a lawn mower bought at Rs 1150 with Rs 50 as transportation charges.
Question 952 :
I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added.
Question 953 :
If 60% people in a city like cricket, 30% like football and the remaining like other games, then what per cent of the people like other games?
Question 954 :
Find amount to be paid on Rs 15000 at $5\%$ per annum after 2 years.
Question 955 :
Vasudevan invested Rs 60000 at an interest rate of 12% per annum compounded half yearly. What amount would he get after 6 months?
Question 956 :
Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after $1\frac{1}{2}$ years if the interest is compounded half yearly and if the interest is compounded annually for the same duration.
Question 957 :
Kamala borrowed Rs 26,400 from a Bank to buy a scooter at a rate of $15\%$ p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?
Question 958 :
Find the amount which Ram will get on Rs 4096, if he gave it for 18 months at $12\frac{1}{2}\%$ per annum, interest being compounded half yearly.
Question 959 :
A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of 5% and on thc other a loss of 10%. Find his overall gain or loss. [Hint: Find GP of each]
Question 960 :
If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?
Question 961 :
A scooter was bought at Rs 42,000. Its value depreciated at the rate of $8\%$ per annum. Find its value after one year.
Question 962 :
A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.
Question 964 :
60% people in a city like cricket, 30% like football and the remaining like other games. If the total number of people are 50 lakh, find the exact number who like other games.
Question 965 :
The price of a TV is Rs 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it.
Question 967 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d03bf59b460d7261f2ab.png' />
In the above image, find the values of the unknowns x, y, z.
Question 968 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d037f59b460d7261f2a5.png' />
In the above parallelogram ABCD, $\angle DCB$ =..... ?
Question 969 :
Can a quadrilateral ABCD be a parallelogram.If AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm?
Question 970 :
If diagonals of a quadrilateral bisect at right angles, then which type of quadrilateral it is a _______.
Question 971 :
Name the quadrilaterals whose diagonals are perpendicular bisectors of each other.
Question 972 :
The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.
Question 973 : Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf10f59b460d7261f107.png' />
What can you say about the angle sum of a convex polygon with number of sides as 10?
Question 974 :
Find the measure of each exterior angle of a regular polygon of 15 sides.
Question 975 :
State true or false. A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given.
Question 976 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf1ef59b460d7261f11a.png' />
From the above given fig ,Find the measure of ∠P and ∠S if $\overline{SP}|| \overline{RQ}$ .
Question 980 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf0df59b460d7261f104.png' />
In the above fig RENT is a rectangle, Its diagonals meet at O. Find x, if $OR=2x+4$ and $OT=3x+1$.
Question 981 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d036f59b460d7261f2a4.png' />
In the above parallelogram ABCD, AD =..... ?
Question 983 :
Find the measures of each exterior angle of a regular polygon of 9 sides.
Question 984 :
Based on the nature of the sides or angles of a quadrilateral, it gets special names.
TRUE or FALSE ?
Question 986 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d038f59b460d7261f2a6.png' />
In the above parallelogram ABCD, OC =..... ?
Question 987 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf15f59b460d7261f10e.png' />
From the above figure, find the measure of angle x.
Question 989 :
For constructing a unique quadrilateral at least ______ measurements are required.
Question 990 : Consider quadrilateral ABCD
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf07f59b460d7261f0fb.png' />
Let P be any point in its interior. Join P to vertices A, B, C and D.
find the total measure m∠1 + m∠2 + ... + m∠8,.
Question 991 :
What is the minimum interior angle possible for a regular polygon?
Question 992 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf15f59b460d7261f10d.png' />
From the above figure, find the measure of angle x.
Question 993 :
State true or false. The sum of interior angles of a polygon of n sides is (n-2) straight angles.
Question 995 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d03ff59b460d7261f2b1.png' />
In the above image, KNML is a trapezium. Which of its two sides are parallel?
Question 997 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d03df59b460d7261f2ae.png' />
In the above image, GUNS is a parallelogram. Find the value of x and y. (Lengths are in cm).
Question 998 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d039f59b460d7261f2a8.png' />
In the above image, find the values of the unknowns x, y, z.
Question 999 :
We classify polygons according to the number of sides (or vertices) they have.
Question 1000 :
Find the measures of each exterior angle of a regular polygon of 15 sides.
Question 1001 :
All squares are rhombuses and also rectangles. Is it true or false ?
Question 1004 :
State true or false. The sum of interior angles of a quadrilateral is 360°.
Question 1006 :
All squares are not parallelograms. Is it true or false ?
Question 1008 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf12f59b460d7261f10b.png' />
From the above figure, find the measure of angle x.
Question 1009 :
The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.
Question 1012 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf7ef59b460d7261f19e.jpeg' />
Refer to the above figures. Which of these are convex polygons ?
Question 1014 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d032f59b460d7261f29e.png' />
In the above image, find the measure of angle x.
Question 1015 : Given below a parallelogram ABCD
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf20f59b460d7261f11d.png' />
Complete the statement-
∠ DCB = ......
Question 1016 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf48f59b460d7261f159.png' />
The above graph shows the temperature of a patient in a hospital, recorded every hour. The patient's temperature was the same two times during the period given. What were these two times?
Question 1017 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf4ef59b460d7261f160.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown in the above graph. How high was plant A after 2 weeks and 3 weeks, respectively.
Question 1018 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf5bf59b460d7261f16f.png' />
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graphs. How far is the place of the merchant from the town?
Question 1019 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf53f59b460d7261f166.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown in the above graph. When were the two plants of the same height during the weeks shown here?
Question 1020 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf63f59b460d7261f179.png' />
The above table shows the distance travelled by a car. How much distance did the car cover during the period 7:30 a.m. to 8 a.m. ?
Question 1021 :
The co-ordinates of the origin are (0, 0). State true or false.
Question 1022 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf56f59b460d7261f169.png' />
The above graph shows the temperature forecast and the actual temperature for each day of a week. What was the minimum actual temperature during the week?
Question 1023 :
A point whose y-coordinate is zero and X-coordinate is 5 will lie on y-axis. State true or false.
Question 1024 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf4ff59b460d7261f161.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown in the above graph. How high was plant B after 2 weeks and 3 weeks, respectively?
Question 1025 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf5df59b460d7261f171.png' />
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graphs. During which period did he ride fastest.
Question 1026 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf5ef59b460d7261f173.png' />
Can there be a time-temperature graph as above?
Question 1027 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf59f59b460d7261f16d.png' />
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graphs. What is the scale taken for the time axis?
Question 1028 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf60f59b460d7261f175.png' />
Can there be a time-temperature graph as above?
Question 1029 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf63f59b460d7261f17a.png' /> The above table shows the distance travelled by a car. What was the time when the car had covered a distance of 100 km since it's start?
Question 1030 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf51f59b460d7261f163.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown in the above graph. How much did plant B grow from the end of the 2nd week to the end of 3rd week?
Question 1031 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf48f59b460d7261f158.png' />
The above graph shows the temperature of a patient in a hospital, recorded every hour. When was the patient's temperature 38.5°C?
Question 1032 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf47f59b460d7261f157.png' />
The above graph shows the temperature of a patient in a hospital, recorded every hour. What was the patient's temperature at 1 p.m.?
Question 1033 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf52f59b460d7261f165.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown in the above graph. During which week did plant B grow least?
Question 1034 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf4df59b460d7261f15e.png' />
The above line graph shows the yearly sales figures for a manutacturing company. Compute the difference between sales in 2002 and 2006.
Question 1035 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf51f59b460d7261f164.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown in the above graph. During which week did plant A grow most?
Question 1036 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf57f59b460d7261f16a.png' />
The above graph shows the temperature forecast and the actual temperature for each day of a week. On which day did the actual temperature differ the most from the forecast temperature?
Question 1037 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf4af59b460d7261f15b.png' />
The above graph shows the temperature of a patient in a hospital, recorded every hour. During which periods did the patients temperature showed an upward trend?
Question 1038 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf49f59b460d7261f15a.png' />
The above graph shows the temperature of a patient in a hospital, recorded every hour. What was the temperature at 1:30 p.m.?
Question 1039 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf5af59b460d7261f16e.png' />
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graphs. How much time did the person take for the travel?
Question 1040 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf5ff59b460d7261f174.png' />
Can there be a time-temperature graph as above?
Question 1041 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf54f59b460d7261f167.png' />
The above graph shows the temperature forecast and the actual temperature for each day of a week. On which day was the forecast temperature the same as the actual temperature?
Question 1042 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf4cf59b460d7261f15d.png' />
The above line graph shows the yearly sales figures for a manutacturing company. What are the sales in 2003 and 2005?
Question 1043 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf4bf59b460d7261f15c.png' />
The above line graph shows the yearly sales figures for a manutacturing company. What are the sales in 2002 and 2006?
Question 1044 :
A point whose x-coordinates is zero and y-coordinate is non-zero will lie on the y-axis. State true or false.
Question 1045 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf55f59b460d7261f168.png' />
The above graph shows the temperature forecast and the actual temperature for each day of a week. What was the maximum forecast temperature during the week?
Question 1046 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf5cf59b460d7261f170.png' />
A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graphs. Did the person stop on his way?
Question 1047 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf4ef59b460d7261f15f.png' />
The above line graph shows the yearly sales figures for a manutacturing company. In which year was there the greatest difference between the sales as compared to its previous year?
Question 1048 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf5ef59b460d7261f172.png' />
Can there be a time-temperature graph as above?
Question 1049 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf50f59b460d7261f162.png' />
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown in the above graph. How much did plant A grow during the 3rd week?
Question 1051 :
Using the Identity (III) - $(a+b)(a-b) = a^2 - b^2$ ,find $194 \times 206$
Question 1052 :
Multiply the binomials: $(y – 8) \ and \ (3y – 4)$
Question 1057 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $\left(20x^2,\ 5y^2\right)$
Question 1060 :
Use a suitable identity to get the following product : $\left(\frac{x}{2}+\frac{3y}{4}\right)\left(\frac{x}{2}+\frac{3y}{4}\right)$
Question 1061 :
Add the expression: $l^2 + m^2$ , $m^2 + n^2$ , $n^2 + l^2$ , $2lm + 2mn + 2nl$
Question 1064 :
What is the result of the following divisions? $(3x^4 – 1875) ÷ (3x^2 – 75)$
Question 1066 :
If p + q = 12 and pq = 22, then find $p^2 + q^2$
Question 1069 :
Use a suitable identity to get the product: $(6x – 7) (6x + 7)$
Question 1070 :
The representation of an expression as the product of its factors is called __________.
Question 1072 :
$a (a^2 + a + 1) + 5$ ,find its value for a = 0.
Question 1073 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $(3mn , 4np)$
Question 1074 :
$3x (4x – 5) + 3$ ,find its values for x = $\dfrac{1}{2}$.
Question 1075 :
What will be the product of first monomial $3x^2$ and second monomial $-4xy$ ?
Question 1077 :
State true or false: x + y + z and y + z + 10 are trinomials
Question 1078 :
Obtain the product of the following pair of monomials : 4, 7p
Question 1080 :
Expressions are formed from variables and constants.Is it TRUE or FALSE?
Question 1081 :
Carry out the multiplication of the expression : $a^2 – 9, 4a$
Question 1083 :
Using the Identity (II) : $(a-b)^2 = a^2 + b^2 - 2ab$ ,find $(4.9)^2$
Question 1084 :
State true or false: $(7p – 13q)^2 + 364pq = (7p + 13q)^2$
Question 1087 :
Using the Identity (I) : $(a+b)^2 = a^2 + b^2 + 2ab$ ,find $(103)^2$
Question 1088 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc1cf59b460d7261ed0c.png' />
From the above image, find the value of x from the given square if area of the square is 625 square units.
Question 1089 :
The area of a square is $9x^2 + 24xy + 16y^2$. Find the side of the square.
Question 1090 :
How many trinomials are there in the list ? $– z + 5$, $x + y + z$, $y + z + 100$, $ab – ac$, 17
Question 1091 :
Use a suitable identity to get the following product : $(2y+5)(2y+5)$
Question 1092 :
What will be the product of first monomial $2x$ and second monomial $-9x^2y^2$ ?
Question 1095 :
Using $(x + a) (x + b) = x^2 + (a + b) x + ab$, find: 103 × 98
Question 1096 :
Add the expression: $ab – bc$, $bc – ca$, $ca – ab$
Question 1098 :
State true or false. The factorisation done by using the distributive law (property) is called the common factor method of factorisation.
Question 1100 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cefcf59b460d7261f0eb.PNG' />
From the above image, find the remainder when divided by 11 if Sundaram had chosen the number 64.
Question 1104 :
If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?
Question 1106 :
Find the digits A and B in BA x B3 = 57A.
Question 1107 :
State whether true or false. 417 + 174 + 741 is divisibe by 37.
Question 1109 :
If 24x is a multiple of 3, where x is a digit, what is the value of x?
Question 1112 :
If 21y5 is a multiple of 9, where y is a digit, what is the value of y?
Question 1115 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cefdf59b460d7261f0ed.PNG' />
From the above image, find the remainder when divided by 11 if Sundaram had chosen the number 17.
Question 1117 :
If the division N ÷ 5 leaves a remainder of 4, what might be the one’s digit of N?
Question 1118 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf01f59b460d7261f0f2.JPG' />
From the above image, find the remainder when divided by 99 if Sundaram had chosen the number 469.
Question 1119 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf02f59b460d7261f0f4.PNG' />
From the above conversation, find the remainder when divided by 99 if Sundaram had chosen the number 901.
Question 1120 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d029f59b460d7261f291.png' /> In the above image, find the value of A, B, C ?
Question 1121 :
If 21y5 is a multiple of 9, where y is a digit, what is the value of y?
Question 1123 :
State whether true or false. If one's digit of a number is even then the number is divisible by 2.
Question 1125 :
Write 100 × a + 10 × c + b in usual form.
Question 1126 :
Suppose that the division N ÷ 5 leaves a remainder of 4, and the division N ÷ 2 leaves a remainder of 1. What must be the one’s digit of N?
Question 1128 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d02af59b460d7261f292.png' />
In the above image, find the value of A, B, C ?
Question 1130 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf00f59b460d7261f0f1.JPG' />
From the above image, find the remainder when divided by 99 if Sundaram had chosen the number 132.
Question 1131 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cefff59b460d7261f0ef.PNG' />
From the above image, find the remainder when divided by 9 if Sundaram had chosen the number 96.
Question 1132 :
If the three digit number 24x is divisible by 9, what among the following options can be the value of x?
Question 1134 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cefaf59b460d7261f0e9.PNG' />
From the above image, find the remainder when divided by 11 if Sundaram had chosen the number 27.
Question 1136 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cefdf59b460d7261f0ec.PNG' />
From the above image, find the remainder when divided by 9 if Sundaram had chosen the number 17.
Question 1137 :
If the division N ÷ 2 leaves a remainder of 1, what might be the one’s digit of N?
Question 1138 :
State whether true or false. 937 + 379+792 is divisible by 37.
Question 1139 :
If 24x is a multiple of 3, where x is a digit, what is the value of x ?
Question 1140 :
State whether true or false. Any number with odd one's digit leaves a remainder of 1 when divided with 2.
Question 1141 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf02f59b460d7261f0f3.JPG' />
From the above image, find the remainder when divided by 99 if Sundaram had chosen the number 737.
Question 1142 :
If 31z5 is a multiple of 3, where z is a digit, what might be the values of z ?
Question 1143 :
Any two digit number ab made of digits a and b can be written as:
Question 1144 :
If the division N ÷ 5 leaves a remainder of 1, what might be the one’s digit of N?
Question 1145 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf00f59b460d7261f0f0.PNG' />
From the above image, find the remainder when divided by 9 if Sundaram had chosen the number 37.
Question 1146 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cefef59b460d7261f0ee.PNG' />
From the above image, find the remainder when divided by 9 if Sundaram had chosen the number 21.
Question 1148 :
A 3-digit number abc made up of digits a, b and c can be written as:
Question 1149 :
State whether true or false. If one's digit of a number is 0, then the number is divisible by 10.
Question 1151 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfdcf59b460d7261f229.png' />
From the above given image, answer the following: Identify the side view for the given object.
Question 1152 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf34f59b460d7261f13b.JPG' />
In the above fig, which of them represents the top view of the object ?
Question 1153 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf26f59b460d7261f127.png' />
In the above fig is shown a groove. Which of the following correctly represents its shape ?
Question 1154 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfe3f59b460d7261f233.png' />
From the above given map of a city answer the following: Which is further south, the primary school or the Sr. Secondary School?
Question 1155 :
A polyhedron is said to be regular if its faces are made up of regular polygons and the same number of faces meet at each vertex. TRUE or FALSE ?
Question 1156 :
A prism becomes a cylinder as the number of sides of its base becomes larger and larger. TRUE or FALSE ?
Question 1157 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf9cf59b460d7261f1cb.png' />
From the above given image, answer the following: Identify the corresponding side view for the above solid figure.
Question 1158 :
A pyramid becomes a cone as the number of sides of its base becomes larger and larger. TRUE or FALSE ?
Question 1159 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfbef59b460d7261f1fe.png' />
From the above given image, answer the following: Identify the top view for the given object.
Question 1160 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfcdf59b460d7261f212.png' />
From the above given image, answer the following: Identify the side view for the given object.
Question 1161 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfe5f59b460d7261f235.png' />
From the above given image, answer the following: Is the above object a prism or not?
Question 1162 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfd7f59b460d7261f222.png' />
From the above given image, answer the following: Identify the top view for the given object.
Question 1163 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d048f59b460d7261f2bd.png' />
From the above table, using Euler's formula, find the value of unknown face.
Question 1164 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf28f59b460d7261f129.JPG' />
In the above fig is shown a circular park. Which of the following correctly represents its shape ?
Question 1165 :
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Question 1168 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfaef59b460d7261f1e5.png' />
From the above given image, answer the following: Identify the top view for the given solid among the given views.
Question 1170 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf38f59b460d7261f141.JPG' />
In the above fig, which of them represents the front view of the object ?
Question 1171 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d048f59b460d7261f2bc.png' />
For the above figure, is Euler's formula valid?
Question 1172 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf41f59b460d7261f14f.JPG' />
In the above fig, find the values in the respective (?).
Question 1173 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfa7f59b460d7261f1db.png' />
From the above given image, answer the following: Identify the top view for the given solid among the given views.
Question 1175 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfb9f59b460d7261f1f6.png' />
From the above given image, answer the following: Identify the front view for the given object.
Question 1176 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf8af59b460d7261f1af.png' />
From the above given image, answer the following: Identify the corresponding front view for the above solid figure.
Question 1177 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfaaf59b460d7261f1df.png' />
From the above given image, answer the following: Identify the side view for the given solid among the given views.
Question 1179 :
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Question 1180 :
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Question 1181 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf35f59b460d7261f13c.JPG' />
In the above fig, which of them represents the side view of the object ?
Question 1182 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf2af59b460d7261f12d.JPG' />
In the above fig, find out how many squares can be seen in the top view ?
Question 1183 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf26f59b460d7261f126.JPG' />
In the above fig is shown an agricultural field. Which of the following correctly represents its shape ?
Question 1184 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfadf59b460d7261f1e3.png' />
From the above given image, answer the following: Identify the side view for the given solid among the given views.
Question 1185 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf2af59b460d7261f12c.JPG' />
In the above fig, find out how many squares can be seen in the front view ?
Question 1186 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf37f59b460d7261f13f.JPG' />
In the above fig, which of them represents the top view of the object ?
Question 1187 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf2ef59b460d7261f132.JPG' />
In the above fig, find out which of the following correctly represents the side view and top view of fig. (d) CUP AND SAUCER
Question 1188 :
A polyhedron whose base is a polygon (of any number of sides) and whose lateral faces are triangles with a common vertex is called a _________________.
Question 1189 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf30f59b460d7261f135.JPG' />
In the above fig, find the correct order of the views given alongside the object.
Question 1190 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfb6f59b460d7261f1f2.png' />
From the above given image, answer the following: Identify the top view of the given object.
Question 1191 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfd5f59b460d7261f21e.png' />
From the above given image, answer the following: Identify the side view for the given object.
Question 1192 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfc1f59b460d7261f202.png' />
From the above given image, answer the following: Identify the front view for the given object.
Question 1193 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfaaf59b460d7261f1e0.png' />
From the above given image, answer the following: Identify the front view for the given solid among the given views.
Question 1194 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf29f59b460d7261f12b.JPG' />
In the above fig, find out how many squares can be seen in the side view ?
Question 1195 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfa2f59b460d7261f1d3.png' />
From the above given image, answer the following: Identify the corresponding side view for the above solid figure.
Question 1196 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfcaf59b460d7261f20e.png' />
From the above given image, answer the following: Identify the front view for the given object.
Question 1197 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfd0f59b460d7261f216.png' />
From the above given image, answer the following: Identify the top view for the given object.
Question 1198 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfbcf59b460d7261f1fa.png' />
From the above given image, answer the following: Identify the side view for the given object.
Question 1199 :
Can a polyhedron have for its faces a square and four triangles?
Question 1200 :
Fifteen years from now, Ravi's age will be four times his present age. What is Ravi's present age?
Question 1201 :
A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find the present age of the granddaughter.
Question 1202 :
I have a total of $₹$ 300 in coins of denomination $₹ 1, ₹ 2 and ₹ 5$. The number of $₹$ 2 coins is 3 times the number of $₹$ 5 coins. The total number of coins is 160. How many coins of $₹$ 2 are with me?
Question 1203 :
Half of a herd of deer are grazing in the field and three fourth of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.
Question 1205 :
Baichung's father is 26 years younger than Baichung's grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung's father?
Question 1206 :
Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
Question 1207 :
A rational number is such that when you multiply it by $\frac{5}{2}$ and add $\frac{2}{3}$ to the product, you get $\frac{-7}{12}$. What is the number?
Question 1208 :
Lakshmi is a cashier in a bank. She has currency notes of denominations $₹ 100, ₹ 50 and ₹ 10$, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is $₹$ 4,00,000. How many notes of $₹$ 50 does she have?
Question 1211 :
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
Question 1212 :
Lakshmi is a cashier in a bank. She has currency notes of denominations $₹ 100, ₹ 50 and ₹ 10$, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is $₹$ 4,00,000. How many notes of $₹$ 10 does she have?
Question 1214 :
The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is $\frac{3}{2}$. Find the rational number.
Question 1215 :
The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?
Question 1222 :
Baichung's father is 26 years younger than Baichung's grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung?
Question 1223 :
Aman's age is three times his son's age. Ten years ago, he was five times his son's age. Find the present age of Aman's son.
Question 1224 :
The base of an isosceles triangle is $\frac{4}{3}$ cm. The perimeter of the triangle is $4\frac{2}{15}$ cm. What is the length of either of the remaining equal sides?
Question 1226 :
I have a total of $₹$ 300 in coins of denomination $₹ 1, ₹ 2 and ₹ 5$. The number of $₹$ 2 coins is 3 times the number of $₹$ 5 coins. The total number of coins is 160. How many coins of $₹$ 5 are with me?
Question 1227 :
There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate of $₹$ 100 per metre, it will cost the village panchayat $₹$ 75,000 to fence the plot. What are the dimensions of the plot?
Question 1228 :
The ages of Hari and Harry are in the ratio 5: 7. Four years from now, the ratio of their ages will be 3 :4. Find the present age of Harry.
Question 1229 :
Three consecutive integers add up to 51. What are these integers?
Question 1230 :
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him $₹$ 50 per metre and trouser material that costs him $₹$ 90 per metre. For every 2 metres of the trouser material, he buys 3 metres of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is $₹$ 36,600. How much trouser material did he buy?
Question 1232 :
Baichung's father is 26 years younger than Baichung's grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung's grandfather?
Question 1233 :
The organizers of an essay competition decide that a winner in the competition gets a prize of $₹$ 100 and a participant who does not win gets a prize of $₹$ 25. The total prize money distributed is $₹$ 3000. Find the number of winners, if the total number of participants is 63.
Question 1236 :
The sum of three consecutive multiples of 8 is 888. Find the multiples.
Question 1239 :
Lakshmi is a cashier in a bank. She has currency notes of denominations $₹ 100, ₹ 50 and ₹ 10$, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is $₹$ 4,00,000. How many notes of $₹$ 100 does she have?
Question 1243 :
A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find the present age of the grandfather.
Question 1244 :
Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.
Question 1245 :
The ages of Rahul and Haroon are in the ratio 5:7. Four years later, the sum of their ages will be 56 years. What are their present ages?
Question 1246 :
Sum of the digits of a two digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
Question 1248 :
Shobo's mother's present age is six times Shobo's present age. Shobo's age five years from now will be one third of his mother's present age. What is the present age of Shobo?
Question 1249 :
I have a total of $₹$ 300 in coins of denomination $₹ 1, ₹ 2 and ₹ 5$. The number of $₹$ 2 coins is 3 times the number of $₹$ 5 coins. The total number of coins is 160. How many coins of $₹$ 1 are with me?
Question 1250 :
How many trinomials are there in the list ? $– z + 5$, $x + y + z$, $y + z + 100$, $ab – ac$, 17
Question 1251 :
What will be the product of first monomial $2x$ and second monomial $-9x^2y^2$ ?
Question 1253 :
Terms themselves are formed as product of factors.Is it TRUE or FALSE?
Question 1254 :
Like terms are formed from the same variables and the powers of these variables are the same,too.Is it TRUE or FALSE?
Question 1256 :
Is $(a – b) (a + b) + (b – c) (b + c) + (c – a) (c + a) = 0$ ?
Question 1257 :
The curved surface area of a cylinder is $2\pi(y^2−7y+12)$ and its radius is (y – 3). Find the height of the cylinder.
Question 1259 :
Find the value of a, if $pq^2a = (4pq + 3q)^2 – (4pq – 3q)^2$
Question 1262 :
Use a suitable identity to get the product : $(2y + 5) (2y + 5)$
Question 1263 :
State true or false: x + y + z and y + z + 10 are trinomials
Question 1264 :
State true or false. In general, any expression containing one or more terms with non zero coefficients (and with variables having non-negative exponents) is called a polynomial.
Question 1268 :
What will be the product of first monomial $-4xy$ and second monomial $7x^2y$ ?
Question 1270 :
Find the area of a rectangle whose length and breadth are 9y and $4y^{2}$ respectively.
Question 1271 :
State true or false. Common factor of $x^2y$ and $– xy^2$ is xy.
Question 1273 :
Obtain the product of the following pair of monomials : 4p, 0
Question 1275 :
Using $a^2 - b^2 = (a + b)(a - b)$, find: $(1.02)^2 – (0.98)^2$
Question 1276 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $\left(4x,\ 3x^2\right)$
Question 1277 :
Use a suitable identity to get the following product : $\left(\frac{x}{2}+\frac{3y}{4}\right)\left(\frac{x}{2}+\frac{3y}{4}\right)$
Question 1279 :
An identity is an equality, which is true for all values of the variables in the equality.Is it TRUE or FALSE?
Question 1281 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ace78c526e972caf065.PNG' />
In the above figure, the length, breadth and height of the cuboid has been increased by $x$ units respectively. What is the expression for the volume of the new cuboid ?
Question 1288 :
What will be the product of first monomial $2x$ and second monomial $-5y$ ?
Question 1289 :
How many terms are there in the expression $\frac{x}{2} +\frac{y}{2} − xy$ ?
Question 1292 :
Simplify: $(a + b) (2a – 3b + c) – (2a – 3b) c$.
Question 1293 :
What will be the product of first monomial $3x^2$ and second monomial $7x^2y$ ?
Question 1295 :
What is the cofficient of the term $-10x^2y$ in the expression $x^2y^2 -10x^2y +5xy^2-20$?
Question 1296 :
What is the result of the following divisions? $(x^4 – 16) ÷ x^3 + 2x^2 + 4x + 8$
