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Mensuration MCQs 2026

45 questions with detailed answers · 23 from past papers · 5 quiz batches available

📚 Maths📄 23 Past-Paper Qs✓ Free · No Login Needed
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Read each question, think about the answer, then click Show Answer to reveal the correct option and explanation. Load 10 at a time so it stays manageable — perfect for one-topic study sessions on the bus or during a break.

Page 1 of 1Questions 1–10 of 45
  1. Q1medium

    Find the volume of a cone with radius 7 cm and height 24 cm (use pi = 22/7)

    1. A2464 cm3
    2. B616 cm3
    3. C1232 cm3
    4. D3696 cm3
    💡 Explanation:

    Volume of cone = 1/3 x pi x r^2 x h = 1/3 x 22/7 x 49 x 24 = 1232 cm3.

  2. Q2Past Paper · PPSC/FPSC/NTSmedium

    A cone has radius 7 cm and height 24 cm. Find its slant height

    1. A25 cm
    2. B31 cm
    3. C17 cm
    4. D28 cm
    💡 Explanation:

    Slant height l = sqrt(r^2+h^2) = sqrt(49+576) = sqrt(625) = 25 cm.

  3. Q3medium

    Find the curved surface area of a cone with radius 7 cm and slant height 25 cm (use pi = 22/7)

    1. A275 cm2
    2. B1100 cm2
    3. C385 cm2
    4. D550 cm2
    💡 Explanation:

    CSA of cone = pi x r x l = 22/7 x 7 x 25 = 550 cm2.

  4. Q4Past Paper · PPSC/FPSC/NTShard

    Find the total surface area of a cone with radius 7 cm and slant height 25 cm (use pi = 22/7)

    1. A550 cm2
    2. B704 cm2
    3. C352 cm2
    4. D1408 cm2
    💡 Explanation:

    TSA of cone = pi x r x (l+r) = 22/7 x 7 x 32 = 704 cm2.

  5. Q5Past Paper · PPSC/FPSC/NTSmedium

    Find the diagonal of a square whose side is 10 cm

    1. A20 cm
    2. B10 cm
    3. C14.14 cm
    4. D7.07 cm
    💡 Explanation:

    Diagonal of square = side x sqrt(2) = 10 x 1.414 = 14.14 cm.

  6. Q6medium

    Find the diagonal of a cube whose side is 6 cm

    1. A10.39 cm
    2. B6 cm
    3. C12 cm
    4. D20.78 cm
    💡 Explanation:

    Diagonal of cube = side x sqrt(3) = 6 x 1.732 = 10.39 cm.

  7. Q7medium

    A rectangle has length 12 cm and breadth 5 cm. Find its diagonal

    1. A17 cm
    2. B7 cm
    3. C19.5 cm
    4. D13 cm
    💡 Explanation:

    Diagonal = sqrt(l^2+b^2) = sqrt(144+25) = sqrt(169) = 13 cm.

  8. Q8hard

    Find the area of a sector of radius 14 cm with a central angle of 90 degrees (use pi = 22/7)

    1. A308 cm2
    2. B154 cm2
    3. C77 cm2
    4. D616 cm2
    💡 Explanation:

    Sector area = (theta/360) x pi x r^2 = (90/360) x 22/7 x 196 = 154 cm2.

  9. Q9Past Paper · PPSC/FPSC/NTShard

    Find the length of an arc of radius 21 cm subtending a central angle of 60 degrees (use pi = 22/7)

    1. A11 cm
    2. B44 cm
    3. C22 cm
    4. D33 cm
    💡 Explanation:

    Arc length = (theta/360) x 2 x pi x r = (60/360) x 132 = 22 cm.

  10. Q10hard

    Find the area of a circular ring with outer radius 14 cm and inner radius 7 cm (use pi = 22/7)

    1. A231 cm2
    2. B154 cm2
    3. C308 cm2
    4. D462 cm2
    💡 Explanation:

    Ring area = pi x (R^2 - r^2) = 22/7 x (196-49) = 22/7 x 147 = 462 cm2.

  11. Q11Past Paper · PPSC/FPSC/NTSeasy

    The area of a square field is 2500 sq m. Find the length of its side

    1. A50 m
    2. B625 m
    3. C100 m
    4. D25 m
    💡 Explanation:

    Side = square root of area = sqrt(2500) = 50 m.

  12. Q12Past Paper · PPSC/FPSC/NTSmedium

    The area of a circle is 154 cm2. Find its radius (use pi = 22/7)

    1. A14 cm
    2. B7 cm
    3. C21 cm
    4. D3.5 cm
    💡 Explanation:

    r^2 = area x 7/22 = 154 x 7/22 = 49, so r = 7 cm.

  13. Q13medium

    A rectangular field is 40 m long and 30 m wide. Find the cost of fencing it at Rs 20 per meter

    1. ARs 1400
    2. BRs 2000
    3. CRs 2800
    4. DRs 4200
    💡 Explanation:

    Perimeter = 2(40+30) = 140 m. Cost = 140 x 20 = Rs 2800.

  14. Q14Past Paper · PPSC/FPSC/NTSmedium

    Find the cost of carpeting a room 15 m long and 9 m wide at Rs 50 per square meter

    1. ARs 3375
    2. BRs 4500
    3. CRs 5400
    4. DRs 6750
    💡 Explanation:

    Area = 15 x 9 = 135 sq m. Cost = 135 x 50 = Rs 6750.

  15. Q15medium

    A cube has a volume of 512 cm3. Find the length of its side

    1. A8 cm
    2. B16 cm
    3. C64 cm
    4. D4 cm
    💡 Explanation:

    Side = cube root of volume = cube root of 512 = 8 cm.

  16. Q16Past Paper · PPSC/FPSC/NTSeasy

    One hectare is equal to how many square meters

    1. A1000 sq m
    2. B100 sq m
    3. C10000 sq m
    4. D1000000 sq m
    💡 Explanation:

    By definition, 1 hectare = 10,000 square meters.

  17. Q17hard

    A cylindrical tank has radius 7 m and height 10 m. Find its volume in litres (use pi = 22/7, 1 m3 = 1000 litres)

    1. A154000 litres
    2. B1540000 litres
    3. C15400 litres
    4. D15400000 litres
    💡 Explanation:

    Volume = 22/7 x 49 x 10 = 1540 m3 = 1540 x 1000 = 1,540,000 litres.

  18. Q18Past Paper · PPSC/FPSC/NTSmedium

    If the side of a cube becomes 3 times the original, its volume becomes how many times the original

    1. A9 times
    2. B3 times
    3. C27 times
    4. D81 times
    💡 Explanation:

    Volume is proportional to side^3, so 3^3 = 27 times the original.

  19. Q19hard

    How many bricks each measuring 25 cm x 10 cm x 5 cm are needed to build a wall 5 m long, 2 m high, and 0.25 m thick

    1. A2000
    2. B1000
    3. C2500
    4. D1500
    💡 Explanation:

    Wall volume = 500 x 200 x 25 = 2,500,000 cm3. Brick volume = 1250 cm3. Number of bricks = 2,500,000 / 1250 = 2000.

  20. Q20Past Paper · PPSC/FPSC/NTSeasy

    A room is 8 m long, 6 m wide and 4 m high. Find its volume

    1. A48 m3
    2. B96 m3
    3. C144 m3
    4. D192 m3
    💡 Explanation:

    Volume = l x b x h = 8 x 6 x 4 = 192 m3.

  21. Q21medium

    Find the area of an equilateral triangle with side 8 cm (use sqrt(3) = 1.732)

    1. A32 cm2
    2. B27.71 cm2
    3. C24 cm2
    4. D16 cm2
    💡 Explanation:

    Area = (sqrt(3)/4) x side^2 = (1.732/4) x 64 = 27.71 cm2.

  22. Q22Past Paper · PPSC/FPSC/NTSmedium

    If the radius of a circle is doubled, its area becomes how many times the original

    1. A2 times
    2. B3 times
    3. C4 times
    4. D8 times
    💡 Explanation:

    Area is proportional to r^2, so doubling the radius makes the area 2^2 = 4 times.

  23. Q23Past Paper · PPSC/FPSC/NTSmedium

    A cone and a cylinder have the same base radius and height. The volume of the cone is what fraction of the volume of the cylinder

    1. A1/2
    2. B2/3
    3. C1/4
    4. D1/3
    💡 Explanation:

    Volume of cone = 1/3 x pi x r^2 x h, while cylinder = pi x r^2 x h, so the cone is 1/3 of the cylinder.

  24. Q24Past Paper · PPSC/FPSC/NTSeasy

    The perimeter of a square field is 96 m. Find its area

    1. A576 m2
    2. B288 m2
    3. C1152 m2
    4. D2304 m2
    💡 Explanation:

    Side = perimeter/4 = 96/4 = 24 m. Area = 24 x 24 = 576 sq m.

  25. Q25hard

    A hemispherical bowl has a radius of 3.5 cm. Find its volume (use pi = 22/7)

    1. A44.92 cm3
    2. B89.83 cm3
    3. C179.67 cm3
    4. D134.75 cm3
    💡 Explanation:

    Volume of hemisphere = 2/3 x pi x r^3 = 2/3 x 22/7 x 42.875 = 89.83 cm3.

  26. Q26Past Paper · PPSC/FPSC/NTShard

    Find the total surface area of a hemisphere with radius 7 cm (use pi = 22/7)

    1. A308 cm2
    2. B154 cm2
    3. C231 cm2
    4. D462 cm2
    💡 Explanation:

    TSA of hemisphere = 3 x pi x r^2 = 3 x 22/7 x 49 = 462 cm2.

  27. Q27medium

    Find the curved surface area of a hemisphere with radius 7 cm (use pi = 22/7)

    1. A154 cm2
    2. B308 cm2
    3. C462 cm2
    4. D616 cm2
    💡 Explanation:

    CSA of hemisphere = 2 x pi x r^2 = 2 x 22/7 x 49 = 308 cm2.

  28. Q28easy

    A rectangle has length 15 m and breadth 9 m. Find its perimeter

    1. A135 m
    2. B48 m
    3. C24 m
    4. D96 m
    💡 Explanation:

    Perimeter = 2(l+b) = 2(15+9) = 48 m.

  29. Q29easy

    Find the total surface area of a cube whose side is 5 cm

    1. A150 cm2
    2. B125 cm2
    3. C100 cm2
    4. D75 cm2
    💡 Explanation:

    Total surface area of cube = 6 x side^2 = 6 x 25 = 150 cm2.

  30. Q30Past Paper · PPSC/FPSC/NTSeasy

    Find the volume of a cube whose side is 6 cm

    1. A18 cm3
    2. B36 cm3
    3. C72 cm3
    4. D216 cm3
    💡 Explanation:

    Volume of cube = side^3 = 6 x 6 x 6 = 216 cm3.

  31. Q31medium

    Find the area of a rhombus whose diagonals are 16 cm and 12 cm

    1. A192 cm2
    2. B28 cm2
    3. C96 cm2
    4. D48 cm2
    💡 Explanation:

    Area of rhombus = 1/2 x d1 x d2 = 1/2 x 16 x 12 = 96 cm2.

  32. Q32Past Paper · PPSC/FPSC/NTSmedium

    Find the area of a trapezium with parallel sides 10 cm and 14 cm and height 6 cm

    1. A144 cm2
    2. B72 cm2
    3. C24 cm2
    4. D36 cm2
    💡 Explanation:

    Area of trapezium = 1/2 x (sum of parallel sides) x height = 1/2 x 24 x 6 = 72 cm2.

  33. Q33Past Paper · PPSC/FPSC/NTSeasy

    A cuboid has length 8 cm, breadth 5 cm and height 3 cm. Find its volume

    1. A16 cm3
    2. B40 cm3
    3. C120 cm3
    4. D80 cm3
    💡 Explanation:

    Volume of cuboid = l x b x h = 8 x 5 x 3 = 120 cm3.

  34. Q34medium

    Find the curved surface area of a cylinder with radius 7 cm and height 15 cm (use pi = 22/7)

    1. A660 cm2
    2. B330 cm2
    3. C1320 cm2
    4. D220 cm2
    💡 Explanation:

    CSA = 2 x pi x r x h = 2 x 22/7 x 7 x 15 = 660 cm2.

  35. Q35Past Paper · PPSC/FPSC/NTShard

    Find the total surface area of a cylinder with radius 7 cm and height 10 cm (use pi = 22/7)

    1. A1540 cm2
    2. B748 cm2
    3. C374 cm2
    4. D1078 cm2
    💡 Explanation:

    TSA = 2 x pi x r x (h+r) = 2 x 22/7 x 7 x 17 = 748 cm2.

  36. Q36hard

    Find the volume of a sphere with radius 21 cm (use pi = 22/7)

    1. A19404 cm3
    2. B9702 cm3
    3. C77616 cm3
    4. D38808 cm3
    💡 Explanation:

    Volume = 4/3 x pi x r^3 = 4/3 x 22/7 x 9261 = 38808 cm3.

  37. Q37Past Paper · PPSC/FPSC/NTSmedium

    Find the surface area of a sphere with radius 14 cm (use pi = 22/7)

    1. A1232 cm2
    2. B4928 cm2
    3. C2464 cm2
    4. D616 cm2
    💡 Explanation:

    Surface area = 4 x pi x r^2 = 4 x 22/7 x 196 = 2464 cm2.

  38. Q38hard

    Find the volume of a hemisphere with radius 21 cm (use pi = 22/7)

    1. A19404 cm3
    2. B9702 cm3
    3. C38808 cm3
    4. D29106 cm3
    💡 Explanation:

    Volume of hemisphere = 2/3 x pi x r^3, which is half the volume of a full sphere of same radius = 38808/2 = 19404 cm3.

  39. Q39Past Paper · PPSC/FPSC/NTSeasy

    Find the area of a triangle with base 10 cm and height 8 cm

    1. A40 cm2
    2. B80 cm2
    3. C18 cm2
    4. D36 cm2
    💡 Explanation:

    Area of triangle = 1/2 x base x height = 1/2 x 10 x 8 = 40 cm2.

  40. Q40Past Paper · PPSC/FPSC/NTSeasy

    Find the area of a square whose side is 12 cm

    1. A48 cm2
    2. B24 cm2
    3. C96 cm2
    4. D144 cm2
    💡 Explanation:

    Area of a square = side x side = 12 x 12 = 144 cm2.

  41. Q41easy

    Find the area of a parallelogram with base 12 cm and height 5 cm

    1. A60 cm2
    2. B17 cm2
    3. C30 cm2
    4. D120 cm2
    💡 Explanation:

    Area of parallelogram = base x height = 12 x 5 = 60 cm2.

  42. Q42Past Paper · PPSC/FPSC/NTSmedium

    Find the area of a circle of radius 14 cm (use pi = 22/7)

    1. A88 cm2
    2. B308 cm2
    3. C154 cm2
    4. D616 cm2
    💡 Explanation:

    Area = pi x r^2 = 22/7 x 14 x 14 = 616 cm2.

  43. Q43easy

    Find the circumference of a circle of radius 7 cm (use pi = 22/7)

    1. A22 cm
    2. B154 cm
    3. C44 cm
    4. D88 cm
    💡 Explanation:

    Circumference = 2 x pi x r = 2 x 22/7 x 7 = 44 cm.

  44. Q44Past Paper · PPSC/FPSC/NTSmedium

    Find the volume of a cylinder with radius 7 cm and height 10 cm (use pi = 22/7)

    1. A770 cm3
    2. B220 cm3
    3. C308 cm3
    4. D1540 cm3
    💡 Explanation:

    Volume = pi x r^2 x h = 22/7 x 49 x 10 = 1540 cm3.

  45. Q45medium

    Find the total surface area of a cuboid with length 6 cm, breadth 4 cm and height 3 cm

    1. A54 cm2
    2. B108 cm2
    3. C72 cm2
    4. D216 cm2
    💡 Explanation:

    TSA = 2(lb+bh+hl) = 2(24+12+18) = 108 cm2.

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