JAMB Mathematics questions

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

1. Question 261· Mensuration· JAMB

   The diagonal of a square is 10√2 cm. Find its area.

   • A141 cm²
   • B200 cm²
   • C50 cm²
   • D100 cm²

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   Explanation and discussion

2. Question 262· Mensuration· JAMB

   A solid metal ball has a diameter of 4.2 cm. Find its volume. [π = 22/7]

   • A155.23 cm³
   • B29.11 cm³
   • C38.81 cm³
   • D55.44 cm³

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3. Question 263· Mensuration· JAMB

   Find the length of a diagonal of a rectangle 6 cm by 8 cm.

   • A12 cm
   • B14 cm
   • C48 cm
   • D10 cm

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4. Question 264· Mensuration· JAMB

   How many litres of water will fill a rectangular tank measuring 2 m by 1.5 m by 1 m? (1 m³ = 1000 litres)

   • A3000
   • B300
   • C30 000
   • D3

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5. Question 265· Mensuration· JAMB

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

   • A37.7 cm³
   • B113.1 cm³
   • C339.4 cm³
   • D84.9 cm³

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6. Question 266· Mensuration· JAMB

   Find the length of an arc of a circle of radius 14 cm that subtends an angle of 90° at the centre. (Take π = 22/7.)

   • A22 cm
   • B44 cm
   • C11 cm
   • D154 cm

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7. Question 267· Mensuration· JAMB

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

   • A132 cm³
   • B198 cm³
   • C66 cm³
   • D22 cm³

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8. Question 268· Mensuration· JAMB

   Find the total surface area of a cuboid measuring 4 cm by 3 cm by 2 cm.

   • A26 cm²
   • B24 cm²
   • C52 cm²
   • D48 cm²

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9. Question 269· Mensuration· JAMB

   Find the curved surface area of a cone of radius 3 cm and slant height 5 cm. [π = 3.14]

   • A15 cm²
   • B28.26 cm²
   • C75.36 cm²
   • D47.1 cm²

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10. Question 270· Mensuration· JAMB

    Find the volume of a cylinder of radius 14 cm and height 5 cm. (Take π = 22/7.)

    • A440 cm³
    • B3080 cm³
    • C1540 cm³
    • D6160 cm³

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11. Question 271· Mensuration· JAMB

    A cylinder of radius 7 cm has a curved surface area of 440 cm². Find its height. (Take π = 22/7.)

    • A20 cm
    • B10 cm
    • C5 cm
    • D14 cm

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12. Question 272· Number bases· JAMB

    If 35 (base n) = 26 (base 10), find n.

    • A8
    • B6
    • C7
    • D9

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13. Question 273· Number bases· JAMB

    Find the digit y if 2y4₇ = 144 (base ten).

    • A6
    • B5
    • C4
    • D3

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14. Question 274· Number bases· JAMB

    Convert 1101 (base 2) to base 8.

    • A13
    • B15
    • C31
    • D11

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15. Question 275· Number bases· JAMB

    Which of the following numbers is the largest?

    • A20 (base 8)
    • B1111 (base 2)
    • C100 (base 3)
    • D13 (base 10)

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16. Question 276· Number bases· JAMB

    Convert 1.11₂ to base ten.

    • A3
    • B1.11
    • C1.75
    • D1.5

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17. Question 277· Number bases· JAMB

    Convert 0.101 (base 2) to base 10.

    • A0.5
    • B0.625
    • C0.75
    • D0.375

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18. Question 278· Number bases· JAMB

    Convert 52 (base 8) to base 10.

    • A45
    • B52
    • C40
    • D42

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19. Question 279· Number bases· JAMB

    Convert 345 (base 6) to base 10.

    • A137
    • B345
    • C127
    • D147

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20. Question 280· Number bases· JAMB

    Evaluate 101 (base 2) + 111 (base 2), giving the answer in base 2.

    • A1001
    • B1010
    • C1110
    • D1100

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