All Free Mathematics MCQs with Answers
Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
1,551 questions · page 2 of 78
- A. 3m
- B. 5m
- C. 8.75m
- D. 10m
Explanation: If the path has width w metres inside the field, its area is 38 m × 32 m minus (38 − 2w) m × (32 − 2w) m.
Correct answer: 5m- A. 36cm
- B. 38cm
- C. 28cm
- D. 18cm
Explanation: For a rectangle, diagonal² = length² + breadth². Therefore breadth² = 10² square centimetres − 8² square centimetres = 100 square…
Correct answer: 28cm- A. 21 Sq.m
- B. 42 Sq.m
- C. 54 Sq.m
- D. 108 Sq.m
Explanation: The area of the four walls of a rectangular room equals its floor perimeter multiplied by height.
Correct answer: 54 Sq.m- A. 430
- B. 440
- C. 450
- D. 460
Explanation: Convert the sides to centimetres: 3.78 metres = 378 centimetres and 5.25 metres = 525 centimetres.
Correct answer: 450- A. 11m
- B. 13m
- C. 15m
- D. 17m
Explanation: Let the length and breadth be L metres and B metres. From the perimeter, 2(L + B) = 46 metres, so L + B = 23 metres; with LB = 120 square…
Correct answer: 17m- A. 25m
- B. 30m
- C. 44m
- D. None of these
Explanation: Let the breadth be b metres, so the length is 4.5b metres. The area equation is 4.5b² square metres = 200 square metres, giving b² = 200 ÷…
Correct answer: 30m- A. 5m
- B. 12m
- C. 13m
- D. 14.5m
Explanation: Let the shorter side be s metres, the longer side be l metres, and the diagonal be d metres.
Correct answer: 12m- A. 15 m
- B. 16 m
- C. 17 m
- D. 20 m
Explanation: The perimeter gives L + B = 46 metres ÷ 2 = 23 metres, and the area gives LB = 120 square metres.
Correct answer: 17 m- A. 480 sq.m
- B. 320 sq.m
- C. 600√15 sq.m
- D. 450√15
Explanation: For the diagonal of 80 metres, the cosine rule gives 80² = 60² + 40² − 2 × 60 × 40 cos θ, so cos θ = 1/4.
Correct answer: 600√15 sq.m- A. 24 cm,48cm
- B. 12cm,24cm
- C. 6√2cm,12√2cm
- D. 6cm,12cm
Explanation: The area of a rhombus is half the product of its diagonals. Let the shorter diagonal be d centimetres, so the longer one is 2d…
Correct answer: 12cm,24cm- A. 56m
- B. 64m
- C. 88m
- D. 168m
Explanation: The grazing area is a circle with area πr² = 9856 square metres. Using π = 22/7, r² = 9856 square metres × 7/22 = 3136 square metres, so r…
Correct answer: 56m32. The diameter of a circle is 105 cm less than the circumference what is the diameter of the circle?
- A. 44 cm
- B. 46 cm
- C. 48 cm
- D. 49 cm
Explanation: Using circumference C = πd, we have πd - d = 105 cm, so (22/7 - 1)d = 105 cm.
Correct answer: 49 cm- A. 1000
- B. 1500
- C. 1700
- D. 2000
Explanation: The wheel's circumference is πd = (22/7) × (7/11) m = 2 m per revolution.
Correct answer: 2000- A. 30 cm
- B. 60 cm
- C. 72 cm
- D. 132 cm
Explanation: The wire length is the circle's circumference: 2πr = 2 × (22/7) × 42 cm = 264 cm.
Correct answer: 60 cm- A. 100%
- B. 200%
- C. 300%
- D. 400%
Explanation: Increasing the diameter by 100% makes it twice its original value, so the radius also becomes twice as large.
Correct answer: 300%- A. 25 %
- B. 50%
- C. 75%
- D. 100%
Explanation: Reducing the radius by 50% leaves a radius of 0.5r. The new area is π(0.5r)² = 0.25πr², so 25% remains and the reduction is 100% - 25% =…
Correct answer: 75%- A. 9856
- B. 8956
- C. 6589
- D. 5986
Explanation: From C = 2πr, the radius is r = 352 m ÷ (2 × 22/7) = 56 m. Therefore the area is πr² = (22/7) × (56 m)² = 9856 m²; option b, 8956 m²…
Correct answer: 9856- A. x/2
- B. x
- C. 2x
- D. 4x
Explanation: The square has area x² square units, while the triangle has area 1/2 × x × h square units.
Correct answer: 2x- A. Becomes fourfold
- B. Becomes threefold
- C. Becomes twofold
- D. none of the above
Explanation: For a square, diagonal d = side × √2, so doubling the diagonal also doubles the side.
Correct answer: Becomes fourfold- A. 9 1/11 %
- B. 10%
- C. 11%
- D. 11 1/9 %
Explanation: If the base becomes 110% of its original value, the altitude must become 100/110 = 10/11 of its original value to keep the area unchanged.
Correct answer: 9 1/11 %