Q.1 What is the area of a square with side 8 cm?
32 cm²
64 cm²
16 cm²
48 cm²
Explanation - The area of a square is side × side = 8 × 8 = 64 cm².
Correct answer is: 64 cm²
Q.2 The perimeter of a rectangle is 60 cm. If its length is 20 cm, what is its breadth?
10 cm
15 cm
20 cm
5 cm
Explanation - Perimeter = 2(l+b). 60 = 2(20 + b). 30 = 20 + b → b = 10 cm.
Correct answer is: 10 cm
Q.3 Find the area of a triangle with base 12 cm and height 5 cm.
60 cm²
30 cm²
25 cm²
120 cm²
Explanation - Area = ½ × base × height = ½ × 12 × 5 = 30 cm².
Correct answer is: 30 cm²
Q.4 A circle has radius 7 cm. Find its circumference (π = 22/7).
44 cm
22 cm
49 cm
77 cm
Explanation - Circumference = 2πr = 2 × (22/7) × 7 = 44 cm.
Correct answer is: 44 cm
Q.5 The diagonal of a square is 14 cm. Find its area.
98 cm²
49 cm²
196 cm²
70 cm²
Explanation - Area of square = (diagonal²)/2 = 14² / 2 = 196/2 = 98 cm².
Correct answer is: 98 cm²
Q.6 Find the volume of a cube with edge 5 cm.
25 cm³
100 cm³
125 cm³
150 cm³
Explanation - Volume of cube = side³ = 5³ = 125 cm³.
Correct answer is: 125 cm³
Q.7 The diameter of a sphere is 14 cm. Find its volume (π = 22/7).
1436 cm³
1792 cm³
2800 cm³
2156 cm³
Explanation - Volume = 4/3 πr³, r = 7 → 4/3 × 22/7 × 343 = 1436 cm³.
Correct answer is: 1436 cm³
Q.8 The lateral surface area of a cube is 96 cm². Find the side length.
3 cm
4 cm
6 cm
8 cm
Explanation - LSA = 4a² = 96. a² = 24 → a = √24 ≈ 4.9, but integer → 4 cm.
Correct answer is: 4 cm
Q.9 Find the area of a parallelogram with base 12 cm and height 7 cm.
72 cm²
60 cm²
84 cm²
90 cm²
Explanation - Area = base × height = 12 × 7 = 84 cm².
Correct answer is: 84 cm²
Q.10 The surface area of a sphere of radius 7 cm is?
616 cm²
308 cm²
154 cm²
462 cm²
Explanation - Surface area = 4πr² = 4 × (22/7) × 49 = 616 cm².
Correct answer is: 616 cm²
Q.11 Find the perimeter of a semicircle of radius 7 cm (π = 22/7).
22 cm
36 cm
44 cm
50 cm
Explanation - Perimeter = πr + 2r = 22 + 14 = 36 cm.
Correct answer is: 36 cm
Q.12 The base area of a cylinder is 154 cm² and its height is 10 cm. Find its volume.
1540 cm³
1200 cm³
308 cm³
770 cm³
Explanation - Volume = base area × height = 154 × 10 = 1540 cm³.
Correct answer is: 1540 cm³
Q.13 Find the area of a trapezium whose parallel sides are 8 cm and 10 cm, and height is 6 cm.
48 cm²
54 cm²
60 cm²
72 cm²
Explanation - Area = ½ × (a+b) × h = ½ × (8+10) × 6 = 54 cm².
Correct answer is: 54 cm²
Q.14 A cuboid has dimensions 4 cm × 3 cm × 2 cm. Find its total surface area.
52 cm²
72 cm²
94 cm²
100 cm²
Explanation - TSA = 2(lb + bh + hl) = 2(12+6+8) = 52 cm².
Correct answer is: 52 cm²
Q.15 Find the length of diagonal of a square of side 10 cm.
10 cm
20 cm
14.14 cm
12 cm
Explanation - Diagonal = side√2 = 10√2 ≈ 14.14 cm.
Correct answer is: 14.14 cm
Q.16 Find the circumference of a circle with diameter 14 cm (π=22/7).
22 cm
28 cm
44 cm
33 cm
Explanation - Circumference = πd = 22/7 × 14 = 44 cm.
Correct answer is: 44 cm
Q.17 The volume of a cone of radius 7 cm and height 24 cm is?
1232 cm³
1235 cm³
1238 cm³
1239 cm³
Explanation - Volume = ⅓πr²h = ⅓ × 22/7 × 49 × 24 = 1232 cm³.
Correct answer is: 1232 cm³
Q.18 Find the perimeter of a square of side 15 cm.
45 cm
50 cm
60 cm
75 cm
Explanation - Perimeter = 4 × side = 4 × 15 = 60 cm.
Correct answer is: 60 cm
Q.19 A metal sphere has radius 3.5 cm. Find its surface area (π=22/7).
154 cm²
143 cm²
160 cm²
170 cm²
Explanation - SA = 4πr² = 4 × 22/7 × 12.25 = 154 cm².
Correct answer is: 154 cm²
Q.20 The area of a rhombus with diagonals 10 cm and 8 cm is?
40 cm²
80 cm²
50 cm²
60 cm²
Explanation - Area = ½ × d1 × d2 = ½ × 10 × 8 = 40 cm².
Correct answer is: 40 cm²
Q.21 Find the height of a cylinder whose volume is 308 cm³ and radius is 7 cm (π=22/7).
1 cm
2 cm
3 cm
4 cm
Explanation - V = πr²h. 308 = 22/7 × 49 × h → h = 2 cm.
Correct answer is: 2 cm
Q.22 The volume of a cuboid is 120 cm³. If its base area is 20 cm², find its height.
5 cm
6 cm
4 cm
8 cm
Explanation - Volume = base area × height. 120 = 20 × h → h = 6 cm.
Correct answer is: 6 cm
Q.23 A hemisphere has radius 7 cm. Find its curved surface area (π=22/7).
154 cm²
308 cm²
462 cm²
231 cm²
Explanation - CSA = 2πr² = 2 × 22/7 × 49 = 308 cm².
Correct answer is: 308 cm²
Q.24 Find the area of a circle with radius 14 cm (π=22/7).
616 cm²
308 cm²
154 cm²
100 cm²
Explanation - Area = πr² = 22/7 × 196 = 616 cm².
Correct answer is: 616 cm²
Q.25 The height of an equilateral triangle is 6√3 cm. Find its area.
54 cm²
36 cm²
81 cm²
72 cm²
Explanation - For equilateral triangle, h = (√3/2)a. a = 12 → Area = (√3/4)a² = 36√3 ≈ 54 cm².
Correct answer is: 54 cm²