Question 1 :
Choose the correct option. The distance travelled by CNG bus and the amount of CNG used
Question 2 : <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 3 :
When two quantities x and y are in inverse proportion, then $\frac {x}{y}$ is a constant. True or false ?
Question 4 :
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 5 :
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 6 :
A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4 % on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.
Question 7 :
A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of $5\%$ and on the other a loss of $10\%$. Find his overall gain or loss.
Question 8 :
How many terms are there in the expression $x^2 y^2 – 10x^2 y + 5xy^2 – 20$ ?
Question 10 :
Obtain the volume of rectangular box with the following length, breadth and height respectively : 2p, 4q, 8r
Question 12 :
Simplify and write the answer in the exponential form.$(-3)^4 × (\frac{5}{3})^4$
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cccff59b460d7261edef.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 15 :
Express in standard form: 1 micron is equal to $\frac{1}{1000000} m$
Question 19 :
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 20 :
Radha takes some flowers in a basket and visits three temples one by one. At each temple, she offers one half of the flowers from the basket. If she is left with 3 flowers at the end, find the number of flowers she had in the beginning.
Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d020f59b460d7261f284.png' />
From the above image, Diagram of the adjacent picture frame has outer dimensions = 24 cm x 28 cm and inner dimensions 16 cm x 20 cm. Find the area of each section of the frame, if the width of each section is same.
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef6f59b460d7261f0e3.png' />
In the above image, there are two cuboidal boxes as shown. Which box requires the lesser amount of material to make?
Question 23 :
Water is pouring into a cubiodal reservoir at the rate of 60 litres per minute. If the volume of reservoir is $108 m^3$ , How many hours it will take to fill the reservoir?
Question 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec9f59b460d7261f0a3.jpg' />
In the above image, area of the figure is ?
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef1f59b460d7261f0dc.png' />
In the above image, the shape of the top surface of a table is a trapezium. Find the area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.
Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d018f59b460d7261f279.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 perimeter of this garden [Length of rectangle is 20-(3.5 + 3.5) metres].
Question 27 : <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 28 :
The diagonals of a rhombus are 7.5 cm and 12 cm. Its area will be ?
Question 29 :
If $\stackrel{\underline{\begin{matrix}&A&B\\-&B&7\end{matrix}}}{\underline{\ \ \begin{matrix}&4&5\end{matrix}}}$ , find the value of A and B.
Question 30 :
If 148101B095 is divisible by 33, find the value of B.
Question 32 :
Using prime factorisation, find which of the following is perfect cube.
Question 33 :
Find the smallest number by which 1620 must be divided to get a perfect square.
Question 34 :
The cube of a one digit number cannot be a two digit number. Is it true or false ?
Question 35 :
State true or false: Squares and cubes of odd numbers are odd.
Question 37 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf80f59b460d7261f1a1.jpeg' />
Refer to the above image. Examine the given table. (Each figure is divided into triangles and the sum of the angles deduced from that.) What can you say about the angle sum of a convex polygon with number of sides '8' ?
Question 38 : <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 39 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf81f59b460d7261f1a3.jpeg' />
Refer to the above image. Examine the given table. (Each figure is divided into triangles and the sum of the angles deduced from that.) What can you say about the angle sum of a convex polygon with number of sides 'n' ?
Question 40 :
State true or false. A rectangle is a parallelogram in which one angle is of 90°.
Question 41 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cfdef59b460d7261f22c.png' />
From the above given image, answer the following: Identify the top view for the given object.
Question 42 : <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 47 :
State true or false. A quadrilateral can be constructed uniquely if its two adjacent sides and three angles are known.
Question 48 :
Can you draw a rhombus ZEAL where ZE = 3.5 cm, diagonal EL = 5 cm?
Question 49 :
Can you draw a parallelogram BATS where BA = 5 cm, AT = 6 cm and AS = 6.5 cm?
Question 50 :
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 51 :
State true or false. A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal is given.
Question 52 :
Can a quadrilateral ABCD be a parallelogram if ∠D + ∠B = 180°?
Question 53 :
How many sides does a regular polygon have if the measure of an exterior angle is $24^{\circ }$ ?
Question 54 :
Diagonals of a parallelogram have equal length. TRUE or FALSE ?
Question 55 :
State true or false. A square is a parallelogram in which adjacent sides are equal and one angle is of 90°.
Question 57 :
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 59 :
Add the expression: $2p^2q^2 – 3pq + 4$, $5 + 7pq – 3p^2q^2$
Question 60 :
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.
