Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee4f59b460d7261f0ca.jpg' />
In the above image, find the breadth.
Question 2 :
In a building there are 24 cylindrical pillars. The radius of each pillar is 28 cm and height is 4 m. Find the total cost of painting the curved surface area of all pillars at the rate of 8 Rs per $m^2$.
Question 3 :
1 cubic cm = 1 cm $\times$ 1 cm $\times$ 1 cm = ?
Question 4 : <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 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee6f59b460d7261f0cd.jpg' />
In the above image, find the breadth.
Question 6 :
Given a cylindrical tank, in which situation will you find surface area?
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d017f59b460d7261f277.png' />
From the above figure, Mrs. Kaushik has a square plot with the measurement as shown. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₹ 55 per $m^{2}$.
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec8f59b460d7261f0a2.jpg' />
In the above image, area of the figure is ?
Question 9 : <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 10 :
There are two cuboidal boxes as shown .Which box requires the lesser amount of material to make?
Question 11 :
Find the height of a cuboid whose base area is $180 \ cm^{2}$ and volume is $900 \ cm^{3}$.
Question 12 :
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 $1080 m^2$ ? (If required you can split the tiles in whatever way you want to fill up the corners).
Question 13 :
Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm.
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced0f59b460d7261f0ad.jpg' />
In the above image, any trapezium WXYZ on a piece of graph paper is shown. How can you find the mid point of XY which is point A.
Question 15 :
A cuboid has a volume of $275 cm^3$ and base area of $25 cm^2$. What is its height ?
Question 16 : <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 17 :
What is the height of a cuboid whose base area is $180 cm^2$ and volume is$ 900 cm^3$ ?
Question 18 : <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 19 : <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 20 :
A suitcase with measures 80 cm $\times$ 48 cm $\times$ 24 cm is to be covered with a tarpaulin cloth. How many metres of tarpaulin of width 96 cm is required to cover 100 such suitcases?
Question 21 :
A rhombus has side as 5 cm and altitude as 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.
Question 22 :
Given a cylindrical tank, to find how much it can hold, will you find surface area or volume.
Question 23 :
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 24 :
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 25 :
Find the height of a cylinder whose radius is 7 cm and the total surface area is $968 cm^2$.
Question 26 :
Diameter of cylinder A is 7 cm and its height is 14 cm. Diameter of cylinder B is 14 cm and its height is 7 m. Is the cylinder with greater volume also has greater surface area?
Question 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced9f59b460d7261f0ba.png' />
In the above image, the area of this quadrilateral is ?
Question 28 :
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 29 :
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 he need to paint the room?
Question 30 : <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 31 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef0f59b460d7261f0da.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 perimeter of this garden [Length of rectangle is 20 – (3.5 + 3.5) metres].
Question 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec8f59b460d7261f0a1.jpg' />
In the above image, area of the figure is ?
Question 33 : <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 34 :
A cuboid is of dimensions 60 cm $\times$ 54 cm $\times$ 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee1f59b460d7261f0c5.jpg' />
In the above image, find the length.
Question 36 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceebf59b460d7261f0d4.png' />
In the above image, find the volume.
Question 37 :
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 38 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceddf59b460d7261f0c0.jpg' />
In the above image, there is a hexagon MNOPQR of side 5 cm. Aman and Ridhima divided it in two different ways. Find the area of this hexagon using ridhima's way.
Question 39 : <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 40 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec5f59b460d7261f09d.jpg' />
In the above image, identify the shape.
Question 41 : <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 42 : <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 43 :
Find the side of a cube whose surface area is 600 $cm^{2}$.
Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceeaf59b460d7261f0d3.jpg' />
In the above image, find the volume.
Question 45 :
A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal is required?
Question 46 :
Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm, if one of its diagonals is 8 cm long.
Question 47 :
Diameter of cylinder A is 7 cm and its height is 14 cm. Diameter of cylinder B is 14 cm and its height is 7 m. Find the volume of both the cylinders.
Question 48 :
If each edge of a cube is doubled,how many times will its volume increase?
Question 49 :
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 50 :
The volume of a cube with a side 1.5 m is ?
Question 51 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cccef59b460d7261eded.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 59 :
Find the value of $(3^{– 1} + 4^{– 1} + 5^{– 1})^0$
Question 60 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd7f59b460d7261edfa.PNG' />
The above table may help. Long back in ancient times, a farmer saved the life of a king’s daughter. The king decided to reward the farmer with whatever he wished. The farmer, who was a chess champion, made an unusal request: “I would like you to place 1 rupee on the first square of my chessboard, 2 rupees on the second square, 4 on the third square, 8 on the fourth square, and so on, until you have covered all 64 squares. Each square should have twice as many rupees as the previous square.” The king thought this to be too less and asked the farmer to think of some better reward, but the farmer didn’t agree. How much money has the farmer earned?
Question 61 :
If a = – 1, b = 2, then find the value of $a^b-b^{a}$
Question 64 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd2f59b460d7261edf4.PNG' />
From the above figure, supply the missing information for diagram.
Question 65 :
Find m so that $(–3)^{m + 1} × (–3)^5 = (–3)^7$
Question 69 :
Mass of Mars is $6.42 × 10^{29}$ kg and mass of the Sun is $1.99 × 10^{30}$ kg. What is the total mass?
Question 70 :
By what number should $(–8)^{–3}$ be multiplied so that that the product may be equal to $(–6)^{–3}$?
Question 74 :
In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?
Question 77 :
State true or false: Very large and very small numbers can be expressed in standard form.
Question 82 :
State true or false: Very small numbers can be expressed in standard form using positive exponents.
Question 85 :
State true or false: Exponential notation is a powerful way to express repeated multiplication of the same number
Question 87 :
State true or false: For any non-zero integer a, $a^{(-m)} = 1/a^m$
Question 95 :
Express the result in power notation with positive exponent.$(-3)^4 \times (\frac{5}{3})^4$
Question 98 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd3f59b460d7261edf5.PNG' />
From the above figure, supply the missing information for diagram.
