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 3 of 78
- A. 1
- B. 2
- C. 4
- D. Data Inadequate
Explanation: Two equal square rooms placed along the 4 m length each occupy half that length, so each square has side 4 m ÷ 2 = 2 m.
Correct answer: 2- A. 42%
- B. 62%
- C. 82%
- D. none of these
Explanation: Let the square's side be s units, so its area is s² square units. The new dimensions are 1.4s and 1.3s, giving area 1.4s × 1.3s = 1.82s²…
Correct answer: 82%- A. Rs.500
- B. Rs. 600
- C. Rs. 700
- D. Rs. 800
Explanation: The outer dimensions including the 2.5 m verandah on both sides are 25 m and 20 m, so the outer area is 500 m².
Correct answer: Rs. 700- A. 9:1
- B. 3:1
- C. 3:4
- D. 1:3
Explanation: The area ratio of squares equals the square of their side ratio, so a 9:1 area ratio gives side ratio √9:√1 = 3:1.
Correct answer: 3:1- A. 37 ½ %
- B. 60 %
- C. 75 %
- D. 120%
Explanation: When the length becomes 160% of its original value, the width must become 100/160 = 62.5% to preserve the same area.
Correct answer: 37 ½ %- A. 15
- B. 20
- C. 30
- D. 60
Explanation: Let the square's side be s cm. The rectangle's breadth is 3s/2 cm, so its area is 40 cm × 3s/2 cm = 60s cm², while the square's area is s²…
Correct answer: 20- A. 15m
- B. 4m
- C. 3m
- D. None of these
Explanation: Let the breadth be b m, so the length is 4b/3 m. From (4b/3) × b = 300 m², we get b² = 225 m² and b = 15 m, while the length is 20 m…
Correct answer: None of these48. If the side of a square is increased by 25 % then how much percent does it's area get increased:
- A. 125
- B. 156.25
- C. 50
- D. 56.25
Explanation: Increasing the side by 25% makes it 1.25 times the original, so the area becomes 1.25² = 1.5625 times the original.
Correct answer: 56.25- A. 260m
- B. 280m
- C. 360m
- D. None of these
Explanation: Let the length and breadth be 5x m and 4x m. Their difference is x m, so x = 20 m; hence the dimensions are 100 m and 80 m, and the…
Correct answer: 360m- A. 50m
- B. 100m
- C. 150m
- D. 200m
Explanation: The total surrounding cost gives the perimeter: 3000 rupees ÷ 7.50 rupees per metre = 400 m.
Correct answer: 50m- A. 37
- B. 38
- C. 39
- D. 40
Explanation: The playground perimeter is 2(36 m + 21 m) = 114 m. At a spacing of 3 m, the number of equal boundary intervals, and therefore flag staffs…
Correct answer: 38- A. 20
- B. 30
- C. 60
- D. None of these
Explanation: The playground is one-third of the plot, so the plot area is 3 × 1200 m² = 3600 m².
Correct answer: None of these53. If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is_________?
- A. 15.12 sq.cm
- B. 13.52 sq.cm
- C. 12.62 sq.cm
- D. 10 sq.cm
Explanation: For a square, the diagonal satisfies d² = 2A, so A = d² ÷ 2 = (5.2 cm)² ÷ 2 = 27.04 cm² ÷ 2 = 13.52 cm².
Correct answer: 13.52 sq.cm- A. 160m × 27m
- B. 240m × 18m
- C. 120m × 36m
- D. 135m × 32m
Explanation: Let the smaller side be b m. Three squares first use 3b m of the longer side, and the remaining strip is divided into three squares, so…
Correct answer: 120m × 36m- A. A square with an area of 36 sq.cm
- B. An Equilateral Triangle with a side of 9 cm
- C. A rectangle with 10 cm as length and 40 sq.cm as area
- D. A circle with a radius of 4 cm
Explanation: The square has side √36 cm² = 6 cm, so its perimeter is 24 cm. The triangle perimeter is 3 × 9 cm = 27 cm, the rectangle has breadth 40…
Correct answer: A rectangle with 10 cm as length and 40 sq.cm as area56. The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
- A. 26.4 m2
- B. 39.6 m2
- C. 52.8 m2
- D. 79.2 m2
Explanation: A sector's area is (angle ÷ 360°) × πr². Substituting gives (42° ÷ 360°) × π × (12 m)² = 16.8π m² = 52.8 m² using π = 22/7.
Correct answer: 52.8 m2- A. 0.35 cm2
- B. 17.5 cm2
- C. 8.75 cm2
- D. 55 cm2
Explanation: For a sector, area = 1/2 × radius × arc length. Therefore the area is 1/2 × 5 cm × 3.5 cm = 8.75 cm².
Correct answer: 8.75 cm2- A. (400 - 100π) cm2</sup
- B. (400 - 2π) cm2</sup
- C. (400 - 200π) cm2</sup
- D. 200π cm2</sup
Explanation: Each semicircle has diameter 20 cm, so radius 10 cm; the two semicircles together form one circle of area π(10 cm)² = 100π cm².
Correct answer: (400 - 100π) cm2</sup- A. Rs.45
- B. Rs.78
- C. Rs.44
- D. Rs.40
Explanation: The walk is an annulus with outer radius 15 m and inner radius 13 m, so its area is π[(15 m)² - (13 m)²] = 56π m² = 176 m².
Correct answer: Rs.44- A. 25 cm
- B. 28 cm
- C. 30 cm
- D. 35 cm
Explanation: The perimeter of a semicircle includes its curved part and diameter, so P = πr + 2r.
Correct answer: 28 cm