All Free Mathematics MCQs with Answers

• A. 1:2
• B. 1:4
• C. 1:8
• D. 2:1

Explanation: Cube volume is proportional to the cube of its side. Thus sides in the ratio 1:2 produce volumes in the ratio 1^3:2^3 = 1:8.

• A. 500
• B. 1000
• C. 900
• D. 600Computer Online Quiz

Explanation: Convert the small-box dimensions to metres: 60 cm = 0.6 m, 50 cm = 0.5 m and 40 cm = 0.4 m.

• A. 24000
• B. 23000
• C. 22000
• D. 25000

Explanation: The wall volume is 25 m x 2 m x 0.75 m = 37.5 m3. Each brick has volume 20 cm x 10 cm x 7.5 cm = 1500 cm3 = 0.0015 m3, so the number of…

• A. 100 cu.m
• B. 1000 cu.m
• C. 10000 cu.m
• D. 2000 cu.m

Explanation: The volume of a rectangular pond is length x width x depth = 20 m x 10 m x 5 m = 1000 m3.

• A. 100%
• B. 200%
• C. 300%
• D. 400%

Explanation: A cone's volume is V = 1/3 x pi x r2 x h, so with radius fixed, its volume is directly proportional to its height.

• A. 1:3
• B. 3:1
• C. 1:2
• D. 2:1

Explanation: For the same radius r and height h, the cylinder volume is pi r2h, while the cone volume is 1/3 pi r2h.

• A. 8.66 m
• B. 5.196 m
• C. 6.928 m
• D. 7.264 m

Explanation: The longest rod in a cubical room is the space diagonal, not an edge or a face diagonal.

• A. 1390 cm2
• B. 695 cm2
• C. 1280 cm2
• D. 1220 cm2

Explanation: For a closed rectangular box, cardboard area is 2(lb + bh + lh). Substituting 25 cm, 15 cm and 8 cm gives 2[(25 cm x 15 cm) + (15 cm x 8…

• A. 4500 M3
• B. 27000 M3
• C. 3000 M3
• D. 2700 M3

Explanation: The river's cross-sectional area is 2 m x 45 m = 90 m2. Its speed is 3 km/h = 3000 m/h = 50 m/min, so the water flowing each minute is 90…

• A. 8.56 kg
• B. 7.76 kg
• C. 7.756 kg
• D. 6.832 kg

Explanation: Taking 52 cm x 40 cm x 29 cm as the outside dimensions of an open box, the inside dimensions are 48 cm x 36 cm x 27 cm because the 2 cm…

• A. 4:3
• B. 4:2
• C. 4:4
• D. 6: π

Explanation: If a sphere fits inside a cube, its diameter equals the cube's side, say a.

• A. Rs.60
• B. Rs.57
• C. Rs.55
• D. Rs.52

Explanation: The area of the four walls is 2h(l + b) = 2 x 3 m x (15 m + 4 m) = 114 m2.

• A. 1000
• B. 600
• C. 2400
• D. 1200

Explanation: The floor area is 30 m x 20 m = 600 m2. A carpet strip 50 cm wide has width 0.5 m, so its required length is 600 m2 / 0.5 m = 1200 m.

• A. 25 m
• B. 35 m
• C. 45 m
• D. 50 m

Explanation: At 50 paise per m2, or Rs.0.50 per m2, an expenditure of Rs.600 covers 600 / 0.50 = 1200 m2.

• A. 4:3
• B. 16:9
• C. 64:27
• D. 3:4

Explanation: The space diagonal of a cube with side s is s√3, so the common factor √3 does not change the ratio.

• A. 21 cm
• B. 19 cm
• C. 32 cm
• D. 18 cm

Explanation: Because the metal is melted without loss, the new cube's volume is the sum of the original volumes: 9 cm cubed + 12 cm cubed + 15 cm cubed…

• A. 27:1
• B. 1:27
• C. 1:9
• D. 9:1

Explanation: Sphere volume is proportional to the cube of its radius, V = 4/3 pi r3. Thus radii 1:3 give volumes 1 cubed:3 cubed = 1:27.

• A. 36
• B. 64
• C. 27
• D. 16

Explanation: The number of smaller spherical shots is the ratio of volumes, not the ratio of radii.

• A. 3:4
• B. 4:3
• C. 3:1
• D. 1:3Everyday Science Quiz

Explanation: The whole surface area of a sphere is 4pi r2, while the total surface area of a hemisphere, including its circular base, is 3pi r2.

• A. 1 cm
• B. 2 cm
• C. 4 cm
• D. 3 cm

Explanation: The curved surface area of a sphere is 4πr². Thus 4πr² = 64π, so r² = 16 cm² and r = 4 cm.