Question 2 :
Express in standard form: Charge of an electron is 0.000,000,000,000,000,000,16 coulomb.
Question 5 :
Express in standard form: Size of a plant cell is 0.00001275 m
Question 8 :
State true or false: Exponential notation is a powerful way to express repeated multiplication of the same number
Question 10 :
Find the value of m for which, $5^m÷ 5^{– 3} = 5^5$
Question 11 :
Find the volume of rectangular box whose length, breadth and height are 2q, $4q^{2}$ and $8q^{3}$ respectively.
Question 15 :
Obtain the volume of rectangular box with the following length, breadth and height respectively : 5a, $3a^2$, $7a^4$
Question 16 :
If x varies inversely as y and y = 60 when x = 1.5. Find x, when y = 4.5.
Question 18 :
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 19 :
In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?
Question 20 :
Choose the correct option. Distance travelled by an auto-rickshaw and time taken
Question 21 :
If x = 5y, then x and y vary ______ with each other.
Question 22 :
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 23 :
Problems based on direct proportion can be solved using __________ method.
Question 24 :
When the speed remains constant, the distance travelled is ______ proportional to the time.
Question 25 :
Two quantities are said to vary ______ with each other if an increase in one causes a decrease in the other in such a manner that the product of their corresponding values remains constant.
Question 26 :
If each edge of a cube is doubled,how many times will its volume increase?
Question 27 : <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 28 :
All congruent figures are equal in area. State true or false.
Question 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee8f59b460d7261f0d0.jpg' />
In the above image, find the length.
Question 30 :
Find the height of the cylinder whose volume is 1.54 $m^{3}$ and diameter of the base is 140 cm?
Question 31 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cebef59b460d7261f093.jpg' />
In the above image, a rectangular park whose length is 30 m and width is 20 m is shown. Find the area of this park.
Question 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cebdf59b460d7261f091.jpg' />
In the above image, a rectangular park whose length is 30 m and width is 20 m is shown. What is the total length of the fence surrounding it?
Question 33 : <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 34 :
A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of millk in litres that can be stored in the tank.
Question 35 : <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 41 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ce7cf59b460d7261f036.PNG' />
Take a squared paper and arrange 48 counters on it in different number of rows and columns. Calculate the values of $C_{1}$, $C_{1}$ and $C_{5}$. What do you observe? As R increases, C _________.
Question 42 : <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 43 : <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 44 :
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 45 :
Is the following in inverse proportion?
The population of a country and the area of land per person.
Question 47 :
The base of a parallelogram is (2x + 3) units and the corresponding height is (2x – 3) units. What will be the area of a parallelogram of x = 30 units?
Question 49 :
Subtract $4p^2q – 3pq + 5pq^2 – 8p + 7q – 10$ from $18 – 3p – 11q + 5pq – 2pq^2 + 5p^2q$
Question 50 :
Using the Identity (III) - $(a+b)(a-b) = a^2 - b^2$ ,find $194 \times 206$
Question 51 :
Carry out the multiplication of the expression : $ab, a – b$
Question 52 :
What will be the product of first monomial $3x^2$ and second monomial $-4xy$ ?
Question 55 :
Using the Identity (II) : $(a-b)^2 = a^2 + b^2 - 2ab$ ,find $(4p - 3q)^2$
Question 56 :
Using $a^2 - b^2 = (a + b)(a - b)$, find: $153^2 – 147^2$
Question 60 :
Which of the following examples of expressions contain two variables ?
