Q.1 The perimeter of a square is 64 cm. What is the area of the square?
256 cm²
128 cm²
64 cm²
32 cm²
Explanation - Perimeter of square = 4a ⇒ 64 = 4a ⇒ a = 16 cm. Area = a² = 16² = 256 cm².
Correct answer is: 256 cm²
Q.2 The sum of the angles in a polygon is 1260°. How many sides does the polygon have?
8
9
10
11
Explanation - Sum of angles = (n-2)×180 ⇒ 1260 = (n-2)×180 ⇒ n-2 = 7 ⇒ n = 9+1? Wait, n=1260/180+2 = 7+2=9? Let's recalc: 1260/180 = 7; 7+2=9. Correct answer: 9 sides.
Correct answer is: 10
Q.3 A cuboid has length 5 m, breadth 3 m, and height 2 m. What is its volume?
30 m³
10 m³
20 m³
25 m³
Explanation - Volume = l×b×h = 5×3×2 = 30 m³.
Correct answer is: 30 m³
Q.4 The radius of a circle is 7 cm. Find its circumference.
44 cm
21 cm
154 cm
14 cm
Explanation - Circumference = 2πr = 2×22/7×7 = 44 cm.
Correct answer is: 44 cm
Q.5 A triangle has sides 5 cm, 12 cm, and 13 cm. What type of triangle is it?
Acute
Right-angled
Obtuse
Equilateral
Explanation - Check using Pythagoras: 5² + 12² = 25 + 144 = 169 = 13² ⇒ Right-angled triangle.
Correct answer is: Right-angled
Q.6 The height of a cylinder is 10 cm and its radius is 7 cm. Find its volume.
1540 cm³
154 cm³
770 cm³
490 cm³
Explanation - Volume = πr²h = 22/7×7²×10 = 22×7×10 = 1540 cm³.
Correct answer is: 1540 cm³
Q.7 The area of a triangle is 60 cm² and its base is 10 cm. Find the height.
12 cm
10 cm
15 cm
8 cm
Explanation - Area = 1/2 × base × height ⇒ 60 = 1/2 × 10 × h ⇒ h = 12 cm.
Correct answer is: 12 cm
Q.8 A circle has area 154 cm². Find its radius. (Use π = 22/7)
7 cm
14 cm
11 cm
21 cm
Explanation - Area = πr² ⇒ 154 = 22/7 × r² ⇒ r² = 49 ⇒ r = 7 cm.
Correct answer is: 7 cm
Q.9 The perimeter of a rectangle is 40 m. If its length is 12 m, find its breadth.
8 m
10 m
16 m
6 m
Explanation - Perimeter = 2(l+b) ⇒ 40 = 2(12+b) ⇒ 20 = 12+b ⇒ b = 8 m.
Correct answer is: 8 m
Q.10 The sum of interior angles of a polygon is 900°. How many sides does it have?
5
6
7
8
Explanation - Sum = (n-2)×180 ⇒ 900 = (n-2)×180 ⇒ n-2 = 5 ⇒ n = 7 sides.
Correct answer is: 7
Q.11 The diagonal of a square is 10√2 cm. Find its area.
100 cm²
50 cm²
200 cm²
25 cm²
Explanation - Diagonal d = a√2 ⇒ a = d/√2 = 10 ⇒ Area = a² = 100 cm².
Correct answer is: 100 cm²
Q.12 A cone has radius 7 cm and height 24 cm. Find its volume.
1232 cm³
1232.5 cm³
1231 cm³
1250 cm³
Explanation - Volume = 1/3 × πr²h = 1/3 × 22/7 × 49 × 24 = 1232 cm³.
Correct answer is: 1232 cm³
Q.13 The height of a trapezium is 10 cm. Its parallel sides are 8 cm and 12 cm. Find the area.
100 cm²
50 cm²
80 cm²
60 cm²
Explanation - Area = 1/2 × (sum of parallel sides) × height = 1/2 × (8+12) × 10 = 100 cm².
Correct answer is: 100 cm²
Q.14 A sphere has radius 7 cm. Find its volume. (Use π = 22/7)
1436 cm³
1232 cm³
1540 cm³
1250 cm³
Explanation - Volume = 4/3 × πr³ = 4/3 × 22/7 × 343 = 1436 cm³.
Correct answer is: 1436 cm³
Q.15 A rectangular field 50 m by 30 m is to be covered with tiles of 1 m² each. How many tiles are needed?
1500
150
500
3000
Explanation - Area = 50×30 = 1500 m². Each tile = 1 m² ⇒ Number of tiles = 1500.
Correct answer is: 1500
Q.16 The side of a cube is 6 cm. Find its surface area.
216 cm²
36 cm²
72 cm²
108 cm²
Explanation - Surface area = 6a² = 6×36 = 216 cm².
Correct answer is: 216 cm²
Q.17 The base of a right-angled triangle is 9 cm and height is 12 cm. Find the hypotenuse.
15 cm
13 cm
14 cm
16 cm
Explanation - Hypotenuse = √(9²+12²) = √(81+144) = √225 = 15 cm.
Correct answer is: 15 cm
Q.18 The sum of interior angles of a regular polygon is 1080°. How many sides does it have?
7
8
9
10
Explanation - Sum = (n-2)×180 ⇒ 1080 = (n-2)×180 ⇒ n-2 = 6 ⇒ n = 8 sides.
Correct answer is: 8
Q.19 The length of a rectangle is 4 times its breadth. If the perimeter is 50 cm, find its area.
150 cm²
100 cm²
200 cm²
120 cm²
Explanation - Let breadth = x, length = 4x. Perimeter = 2(4x+x)=10x=50 ⇒ x=5. Area = 4x*x=4*5*5=100 cm².
Correct answer is: 100 cm²
Q.20 The radius of a circle increases by 50%. By what percentage does the area increase?
125%
100%
150%
75%
Explanation - Area ∝ r². Increase = (1.5²-1)*100 = (2.25-1)*100 = 125%.
Correct answer is: 125%
Q.21 A rhombus has diagonals 12 cm and 16 cm. Find its area.
96 cm²
28 cm²
32 cm²
48 cm²
Explanation - Area = 1/2 × d1 × d2 = 1/2 × 12 × 16 = 96 cm².
Correct answer is: 96 cm²
Q.22 A regular hexagon has side 10 cm. Find its perimeter.
60 cm
30 cm
50 cm
40 cm
Explanation - Perimeter = 6×side = 6×10 = 60 cm.
Correct answer is: 60 cm
Q.23 The lateral surface area of a cylinder is 220 cm². If radius = 7 cm, find its height.
5 cm
10 cm
11 cm
15 cm
Explanation - Lateral surface area = 2πrh ⇒ 220 = 2×22/7×7×h ⇒ 220 = 44h ⇒ h=5 cm.
Correct answer is: 5 cm