All Free Mathematics MCQs with Answers

• A. 2:5
• B. 3:4
• C. 3:5
• D. 1:2

Explanation: If the original square has side s, its area is s². Its diagonal is s√2, so the square drawn on that diagonal has area (s√2)² = 2s²; hence…

• A. 64 m
• B. 32 m
• C. 30 m
• D. 16 m

Explanation: For a square, diagonal = side x √2. Therefore, side = (8√2 m) ÷ √2 = 8 m, and perimeter = 4 x 8 m = 32 m.

• A. 300 sq m
• B. 250 sq m
• C. 200 sq m
• D. 400 sq m

Explanation: For a square, diagonal² = 2 x area. Thus area = (20 m)² ÷ 2 = 400 m² ÷ 2 = 200 m².

• A. 225 sq m
• B. 220 sq m
• C. 100 sq m
• D. 30 sq m

Explanation: The area of a square is side x side. With side 15 m, area = 15 m x 15 m = 225 m².

• A. 320 tiles
• B. 640 tiles
• C. 160 tiles
• D. 6.4 tiles

Explanation: The floor area is 8 m x 4 m = 32 m². Each tile measures 0.25 m x 0.20 m, so its area is 0.05 m²; the number of tiles is 32 m² ÷ 0.05 m² =…

• A. 34
• B. 40
• C. 68
• D. 88

Explanation: If the uncovered side is 20 ft, the other dimension is 680 ft² ÷ 20 ft = 34 ft.

• A. 40
• B. 50
• C. 120
• D. None of These

Explanation: The total perimeter is Rs 5300 ÷ Rs 26.50 per metre = 200 m, so length plus breadth is 100 m.

• A. 1520 m2
• B. 2420 m2
• C. 2480 m2
• D. 2520 m2

Explanation: The perimeter gives length + breadth = 206 m ÷ 2 = 103 m. Solving length − breadth = 23 m and length + breadth = 103 m gives length = 63 m…

• A. 76 min
• B. 80min
• C. 90min
• D. 96min

Explanation: The required water volume is 200 m × 150 m × 2 m = 60,000 m3. The pipe area is 1.5 m × 1.25 m = 1.875 m2, and at 20 km/h = 20,000 m/h its…

• A. 84 Sq.cm
• B. 124 Sq.cm
• C. 164 Sq.cm
• D. 180 Sq.cm

Explanation: A cuboid's total surface area is 2(lb + bd + lh). Substituting 10 cm, 4 cm and 3 cm gives 2[(10 cm × 4 cm) + (4 cm × 3 cm) + (10 cm × 3…

• A. the volume of the box
• B. Twice the volume of the box
• C. the square of the volume of the box
• D. Cube root of the volume of the box

Explanation: If the cuboid dimensions are l, b and d, the areas of three adjacent faces are lb, bd and dl.

• A. 125 Sq.cm
• B. 236 Sq.cm
• C. 361 Sq.cm
• D. None of these

Explanation: For dimensions l, b and d, (l + b + d)2 = l2 + b2 + d2 + 2(lb + bd + dl).

• A. 720 Cu.m
• B. 1200 Cu.m
• C. 361 Sq.cm
• D. None of these

Explanation: Let the height be h m. The floor and ceiling area is 2(15 m × 12 m) = 360 m2, while the four walls have area 2h(15 m + 12 m) = 54h m2, so…

• A. 1.227m
• B. 1.225m
• C. 1.233m
• D. 1.229m

Explanation: The outside drain increases each plot dimension by 20 m, so its outer area is 260 m × 200 m = 52,000 m2.

• A. 15.16cm
• B. 16.17cm
• C. 17.18cm
• D. 18.19m

Explanation: The pit provides earth with volume 6 m × 3 m × 2.5 m = 45 m3. The field area is 20 m × 14 m = 280 m2, and the remaining area is 280 m2 −…

• A. 1/9
• B. 2/9
• C. 7/9
• D. 8/9

Explanation: The cylindrical tunnel gives volume πr2h = (22/7) × (2 m)2 × 56 m = 704 m3.

• A. 32
• B. 36
• C. 42
• D. 46

Explanation: A 1 cm rise equals 0.01 m, so the displaced water volume is 24 m × 15 m × 0.01 m = 3.6 m3.

• A. 2dm
• B. 6dm
• C. 18dm
• D. 72dm

Explanation: Let the length be L dm. The depth is L/3 dm, and the breadth is one-sixth of the difference between length and depth, so breadth = (L −…

• A. Rs.400
• B. Rs.500
• C. Rs.600
• D. Rs.800

Explanation: The tank height is capacity ÷ base area = 24 m3 ÷ (4 m × 3 m) = 2 m. One open tank surface, including its bottom and four sides, is 4 m ×…

• A. 81000cu.cm
• B. 81775cu.cm
• C. 82125cu.cm
• D. None of these

Explanation: The outer dimensions are (115 cm + 5 cm) × (75 cm + 5 cm) × (35 cm + 5 cm) = 120 cm × 80 cm × 40 cm, because the 2.5 cm thickness occurs…