CBSE Class 8 Mathematics Mensuration Worksheet Set A

Question. The figure below is called a network. It is made up of links and nodes. The aim is to start from a node and complete a full route of the links without repeating any link (though a node may be repeated.) Is it possible to do this?

(a) It is possible starting from any node.
(b) It is possible only if we start from nodes 1 or 2
(c) It is possible only if we start from nodes 3 or 4
(d) It is not possible.

Answer : C

Question. Sukhia, Babu and Ram are 3 farmers each having a small plot of land. Two of them have rectangular plots, and one has a square plot. Some more facts about their plots are:
Who has the square plot?

(a) Sukhia
(b) Babu
(c) Ram
(d) None of them

Answer : B

Question. Consider the two figures given below.
Which of the following is true about their areas and perimeters?

(a) The areas are the same, perimeters are different.
(b) The areas are different, perimeters are the same.
(c) The areas and perimeters are both different.
(d) The areas and perimeters are both the same.

Answer : B

Question. What is the area of the shaded portion if the area of the circle is 56 cm2?

(a) 12 cm²
(b) 14 cm²
(c) 14. 8 cm²
(d) 18. 5 cm²

Answer : B

Question. In the given figure one square of side 'a' cm and 2 squares of side 'b' cm each are inside a larger square as shown.
What will be the area (in cm2) of the shaded portion?

(a) 2ab - b²
(b) a² + 2b²
(c) a² - b²
(d) a² + b²

Answer : A

Question. What is the length of the longest stick that can be packed in the box of the dimensions shown below?

(a) 90 cm
(b) 70 cm
(c) √290 cm
(d) √240 cm

Answer : C

Question. 100 centimetres (cm) = 10 decimetres (dm) = 1 metre (m)
1 cm x 1 cm x 1 cm = 1 cm3 = 1 cc 
(cc is short for cubic centimetre, and is a unit of volume)
1 litre is defined as 1 dm3
How many cc is one 1 millilitre?
(a) 1 cc
(b) 10 cc
(c) 100 cc
(d) 1000 cc

Answer : A

Question. A man completes the distance between Delhi and Agra travelling at exactly 40 kilometres per hour for half the distance, at 60 kilometres per hour for the remaining half. What is his average speed for the whole journey?
(a) 50 kilometres per hour
(b) 24 kilometres per hour
(c) 48 kilometres per hour
(d) Cannot be calculated.

Answer : C

Question. Three points are marked as shown on three edges of a wooden cube and the corner is cut off along the plane passing through these points. What will be the sum of the lengths of the edges (in cm) of the resulting pyramid?

(a) 10
(b) 6+√8
(c) 15
(d) 6+3√8

Answer : D

Question. In the following figure PR ll AC, QP ll AB and RQ ll BC.
If the perimeter of ABC is 24 cm, the perimeter of PQR will be

(a) 6 cm
(b) 8 cm
(c) 12 cm
(d) 16 cm

Answer : C

Question. The solid shown here is made up of unit cubes of side 'a' cm. Black squares of side 'b' cm are painted on the front and back faces of each unit as shown.
The remaining area of the exposed part of the solid (in cm2) is

(a) 8a² - 3b²
(b) 6a² - 3b²
(c) 8a² - 6b²
(d) 14a² - 6b²

Answer : D

Question. The height of triangle PQR is double the height of triangle ABC, while the base of triangle ABC is double the base of triangle PQR. The ratio of the areas of triangles ABC and PQR will be

(a) 01:01
(b) 01:02
(c) 02:01
(d) 02:03

Answer : A

Question. Which of the following is NOT a correct way of finding the area of the square frame shown below.

(a) 52.2² - 47.8²
(b) 2 x {(52.2 x 2.2) + (47.8 x 2.2)}
(c) 52.2 x  4.4 x  2 + 47.8 x 4.4 x 2
(d) 100 x (52.2 - 47.8)

Answer : C

Question. The measurements of ONLY ONE of the triangles shown below can be correct. Which one is it?
(REMEMBER, the figures are NOT to scale)

Answer : C

Question. Find the radius of the cylinder whose lateral surface area is 704 cm² and height is 8cm.
(A) 6 cm
(B) 4 cm
(C) 8 cm
(D) 14 cm

Answer : D

Question. What is the height of a cuboid of volume 216 cm 3 if its length and breadth measure 8 em and 6 em?
(A) 4.5 m
(B) 6 m
(C) 4.8 m
(D) 9 m

Answer : A

Question. If the radius of a circle is 7/√π cm, what is the area of the circle?
(A) 154 cm²
(B) (49/π) cm²
(C) 22 cm²
(D) 49 cm²

Answer : D

Question. A cuboid measuring 20 em by 10 em by 4 cm is constructed using 2 cm cubes.
How many cubes were needed?
(A) 200
(B) 300
(C) 100
(D) 150

Answer : C

Question. The sides of a triangle are 11 cm, 15 cm and 16 cm. What is the measure of the altitude to the largest side ?
(A) 30√7 cm
(B) 30 cm
(C) (15√7/4) cm
(D) (1S√7/2) cm

Answer : C

Question. An aquarium is in the form of a cuboid whose external measures are 80 cm x 30 em x 40 cm. The base, side faces and back face are to be covered with a coloured paper. Find the area of the paper needed.
(A) 2000 cm²
(B) 8000 cm²
(C) 3000 cm²
(D) 1000 cm²

Answer : B

Question. The perimeter of a trapezium is 52 cm and its non-parallel sides are each equal to 10 cm. If its altitude is 8 cm, what is its area?
(A) 128 cm²
(B) 112 cm²
(C) 118 cm²
(D) 124 cm²

Answer : A

Question. From a cuboid measuring 7 em by 8 em by 9 em, a cube of side 5 em is cut. What is the volume of the remaining cuboid?
(A) 397 cm³
(B) 389 cm³
(C) 398 cm³
(D) 379 cm³

Answer : D

Question. The adjacent sides of a parallelogram are 8 cm and 9 cm. The diagonal joining the ends of these sides is 13 cm. Calculate the area of the parallelogram.
(A) 72 cm²
(B) 12√35 cm²
(C) 24√35 cm²
(D) 150 cm²

Answer : B

Question. A rectangular piece of paper 11 cm x 4 cm is folded without overlapping to make a cylinder of height 4 em. Find the volume of the cylinder.
(A) 38.5 cm³
(B) 40.5 cm³
(C) 41.5 cm³
(D) 42.5 cm³

Answer : A

Question. The dimensions of a hall are 40 m, 25 m and 20 m . If each person requires 200 cubic metres of space, how many persons can be accommodated in the hall?
(A) 120
(B) 150
(C) 140
(D) 100

Answer : D

Question. Three cylinders each of height 16 em and radius of base 4 em are placed on a plane so that each cylinder touches the other two. What is the volume of the region enclosed between the three cylinders?
(A) 98 (4~ -7π) cm³
(B) 98 (2.√3 -7π) cm³
(C) 98 (√3 - 7π) cm³
(D) 128 (2√3 -7π) cm³

Answer : D

Question. A stone of volume 36 cm³ is placed in a rectangular tank measuring 8 cm by 6 cm by 5 cm. A student wants to fill the tank with water to a height of 4 cm. What is the volume of water needed?
(A) 218 cm³
(B) 156 cm³
(C) 228 cm³
(D) 192 cm³

Answer : B

Question. What is the volume of a cylindrical conta iner with base radius 5 cm and height 20 cm? (Take 1t = 3.1 4 .)
(A) 157 l
(B) 1.57 l
(C) 1570 l
(D) 15.7 l

Answer : B

Question. 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 al pillars at the rate of ₹ 8 per m².
(A) ₹ 1352.68
(B) ₹ 1351.68
(C) ₹ 1353.68
(D) ₹ 1340.68

Answer : D

Question. Volumes of two cylinders of same height are in the ratio 1:16. What is the ratio of their radii.
Answer : 1:4

Question. Find the height of cuboid whose volume is 125 cm³ and base area is 5 cm².
Answer : 25 cm

Question. Find the volume of cylinder whose radius is 7 cm and height is 5 cm.
Answer : 770 cm³

Question. Find the ratio of the areas of two circles whose radii is 7 cm and 14 cm.
Answer : 1:4

Question. How many cm³ of juice can be poured in a cuboidical can whose dimensions are 15 cm × 10 cm × 25 cm.
Answer : 3750 cm³

Question. What is the area of curved surface of right circular cylinder with height 14 cm and radius of base 5 cm?
Answer : 440 cm²

Question. Find the diameter of the circle whose circumference is 220 metre.
Answer : 70 m

Question. What is the radius of a circle of area is 154 cm².
Answer : 7 cm

Question. Find the circumference of the circle whose radius is 7 cms.
Answer : 44 cm

Question. A room has two circular windows for exhaust fans. What is the area of these windows if the radius of each 7 cm.
Answer : 308 cm²

Question. What is the area of shaded ring if radius of two circles are 4 cm and 3 cm?
Answer : 22 cm²

Question. A wire in the shape of a square, is 264 cm long is reshaped as a circle. What is the radius of the circle so formed?
Answer : 42 cm

Please refer to the link below for CBSE Class 8 Mathematics Worksheet - Mensuration