JAMB and WAEC Mathematics questions: Mensuration

53 questions with answers and explanations. Tap an option to check yourself.

1. Question 1· Mensuration· JAMB

   Find the total surface area of a closed cylindrical drum of diameter 14 cm and height 20 cm. [π = 22/7]

   • A3,080 cm²
   • B880 cm²
   • C1,034 cm²
   • D1,188 cm²

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   Explanation and discussion

2. Question 2· Mensuration· WAEC

   A circular track has a diameter of 70 m. One lap round it measures (π = 22/7)

   • A110 m
   • B220 m
   • C440 m
   • D3,850 m

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   Explanation and discussion

3. Question 3· Mensuration· WAEC

   A cuboid measures 5 cm by 4 cm by 3 cm. Find its total surface area.

   • A120 cm²
   • B60 cm²
   • C47 cm²
   • D94 cm²

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   Explanation and discussion

4. Question 4· Mensuration· WAEC

   Find the volume of a cylinder of radius 3.5 cm and height 10 cm. [π = 22/7]

   • A220 cm³
   • B385 cm³
   • C110 cm³
   • D770 cm³

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   Explanation and discussion

5. Question 5· Mensuration· WAEC

   Find the area of a triangle with base 12 cm and height 7 cm.

   • A42 cm²
   • B84 cm²
   • C19 cm²
   • D38 cm²

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   Explanation and discussion

6. Question 6· Mensuration· WAEC

   Find the area of a trapezium with parallel sides 6 cm and 10 cm and height 4 cm.

   • A40 cm²
   • B64 cm²
   • C32 cm²
   • D20 cm²

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   Explanation and discussion

7. Question 7· Mensuration· WAEC

   Find the volume of a cylinder of radius 3 cm and height 7 cm. (Take π = 22/7)

   • A66 cm³
   • B198 cm³
   • C132 cm³
   • D462 cm³

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   Explanation and discussion

8. Question 8· Mensuration· JAMB

   A sector of a circle of radius 7 cm subtends an angle of 72° at the centre. Find its perimeter. (Take π = 22/7.)

   • A8.8 cm
   • B22.8 cm
   • C30.8 cm
   • D15.8 cm

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9. Question 9· Mensuration· WAEC

   Find the total surface area of a cube of edge 5 cm.

   • A125 cm²
   • B150 cm²
   • C25 cm²
   • D100 cm²

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   Explanation and discussion

10. Question 10· Mensuration· JAMB

    Find the volume of a hemisphere of radius 3 cm. (Take π = 22/7.)

    • A113.1 cm³
    • B56.6 cm³
    • C28.3 cm³
    • D18.9 cm³

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    Explanation and discussion

11. Question 11· Mensuration· JAMB

    Find the area of a trapezium whose parallel sides are 8 cm and 12 cm and whose height is 5 cm.

    • A100 cm²
    • B50 cm²
    • C40 cm²
    • D25 cm²

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    Explanation and discussion

12. Question 12· Mensuration· JAMB

    Find the area of a circle of radius 7 cm. (Take π = 22/7.)

    • A154 cm²
    • B44 cm²
    • C22 cm²
    • D308 cm²

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    Explanation and discussion

13. Question 13· Mensuration· WAEC

    The volume of a cone of radius 3 cm and height 7 cm is (π = 22/7)

    • A66 cm³
    • B198 cm³
    • C22 cm³
    • D132 cm³

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    Explanation and discussion

14. Question 14· Mensuration· WAEC

    Find the area of a parallelogram with base 9 cm and height 6 cm.

    • A54 cm²
    • B27 cm²
    • C30 cm²
    • D15 cm²

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15. Question 15· Mensuration· WAEC

    Find the area of a sector of radius 6 cm and angle 60°, to one decimal place. (Take π = 22/7.)

    • A6.3 cm²
    • B113.1 cm²
    • C37.7 cm²
    • D18.9 cm²

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16. Question 16· Mensuration· WAEC

    A rectangular tank 2 m by 1.5 m by 1 m is full of water. Its capacity in litres is

    • A30,000
    • B300
    • C3,000
    • D4,500

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17. Question 17· Mensuration· JAMB

    The area of a sector of a circle of radius 14 cm is 77 cm². Find the angle of the sector. (Take π = 22/7.)

    • A30°
    • B60°
    • C45°
    • D90°

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18. Question 18· Mensuration· WAEC

    Find the length of an arc that subtends 60° at the centre of a circle of radius 21 cm (π = 22/7).

    • A22 cm
    • B44 cm
    • C11 cm
    • D66 cm

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19. Question 19· Mensuration· JAMB

    Find the total surface area of a cube of side 4 cm.

    • A16 cm²
    • B64 cm²
    • C96 cm²
    • D48 cm²

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    Explanation and discussion

20. Question 20· Mensuration· JAMB

    Find the area of a sector of radius 6 cm and angle 60°. [π = 22/7]

    • A37.71 cm²
    • B6.29 cm²
    • C18.86 cm²
    • D113.14 cm²

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    Explanation and discussion