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 7 of 78
- A. 295m2
- B. 299m2
- C. 300m2
- D. 375m2
Explanation: The field area is 25 m x 15 m = 375 square metres. The two central passages cover 25 m x 2 m + 15 m x 2 m - 2 m x 2 m = 76 square metres…
Correct answer: 299m2- A. 216
- B. 192
- C. 108
- D. 256
Explanation: Convert the dimensions to centimetres: 12.96 m = 1296 cm and 3.84 m = 384 cm.
Correct answer: 216- A. 485
- B. 431
- C. 391
- D. 381
Explanation: Convert the dimensions to centimetres: 4 m 37 cm = 437 cm and 3 m 23 cm = 323 cm.
Correct answer: 391- A. 56
- B. 42
- C. 38
- D. 34
Explanation: The largest square slab side must divide both floor dimensions exactly.
Correct answer: 34- A. 110
- B. 124
- C. 96
- D. 117
Explanation: Convert the dimensions to centimetres: 6 m 24 cm = 624 cm and 4 m 32 cm = 432 cm.
Correct answer: 117126. If the volume and surface area of a sphere is numerically the same then it's radius is_________?
- A. 1 unit
- B. 2 units
- C. 3 units
- D. 4 units
Explanation: For a sphere, volume is 4/3 x pi x r^3 and surface area is 4 x pi x r^2.
Correct answer: 3 units- A. 3: 5
- B. 2: 5
- C. 3: 1
- D. 1: 3
Explanation: The cylinder volume is pi x r^2 x h_c, while the cone volume is 1/3 x pi x r^2 x h_n.
Correct answer: 1: 3- A. 4/3 times its radius
- B. 2/3 times its radius
- C. Equal to it's radius
- D. Equal to it's diameter
Explanation: Equal volumes give pi x r^2 x h = 4/3 x pi x r^3, where r is the common radius.
Correct answer: 4/3 times its radius- A. 3
- B. 4
- C. 5
- D. 6
Explanation: Each sphere has radius 3 cm, so its volume is 4/3 x pi x 3^3 = 36pi cm3.
Correct answer: 5- A. 24.3 m
- B. 243 m
- C. 2430 m
- D. 24300 m
Explanation: The sphere radius is 9 cm, so its volume is 4/3 x pi x 9^3 = 972pi cm3.
Correct answer: 24300 m131. The radius of a wire is decreased to one -third if volume remains the same length will increase
- A. 1 Time
- B. 3 times
- C. 6 times
- D. 9 times
Explanation: For a wire, volume is cross-sectional area x length, so pi x r^2 x L remains constant.
Correct answer: 9 times- A. 8: 1
- B. 2√2 : 1
- C. 2 : 1
- D. None of these
Explanation: The volume of a cube is proportional to the cube of its edge. If the volume ratio is 8:1, the edge ratio is cube root of 8 : cube root of…
Correct answer: 2 : 1- A. 284 cm2
- B. 286 cm2
- C. 296 cm2
- D. 300 cm2
Explanation: The melted sheet has volume 27 cm x 8 cm x 1 cm = 216 cm3, so the cube edge is cube root of 216 cm3 = 6 cm.
Correct answer: 286 cm2- A. 1200000
- B. 1000000
- C. 9800000
- D. 7500000
Explanation: Convert the wooden box dimensions to centimetres: 8 m x 7 m x 6 m = 800 cm x 700 cm x 600 cm.
Correct answer: 1000000- A. 90, 85, 60
- B. 85, 75, 60
- C. 90, 75, 70
- D. 90, 75,60
Explanation: Let the dimensions be 6x cm, 5x cm and 4x cm. The total surface area is 2(6x x 5x + 5x x 4x + 4x x 6x) cm2 = 148x^2 cm2, so x^2 =…
Correct answer: 90, 75,60- A. 1300 m3
- B. 1331 m3
- C. 1452 m3
- D. 1542 m3
Explanation: For a cube, surface area is 6a^2, so 6a^2 = 726 m2 gives a^2 = 121 m2 and a = 11 m. Its volume is a^3 = 11^3 m3 = 1331 m3.
Correct answer: 1331 m3- A. 3:8
- B. 9:16
- C. 9:32
- D. 9:64
Explanation: The base perimeter is proportional to the radius, so the radii are in the ratio 3:4.
Correct answer: 9:32- A. 1:64
- B. 1:8
- C. 1:4
- D. 8:1
Explanation: Sphere surface area is proportional to r^2, so a surface-area ratio of 1:4 gives a radius ratio of 1:2.
Correct answer: 1:8- A. 3:4
- B. 9:16
- C. 1:8
- D. 4:3
Explanation: Sphere volume is proportional to the cube of its diameter. With diameters in the ratio 1:2, the volume ratio is 1^3:2^3 = 1:8.
Correct answer: 1:8- A. 1:2
- B. 1:4
- C. 2:1
- D. 4:1
Explanation: The surface area of a sphere is proportional to the square of its diameter.
Correct answer: 1:4