JAMB and WAEC Mathematics questions: Number bases

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

1. Question 1· Number bases· JAMB

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

   • A8
   • B6
   • C7
   • D9

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2. Question 2· Number bases· WAEC

   Find x if 24ₓ = 18 (base ten).

   • A7
   • B8
   • C6
   • D9

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3. Question 3· Number bases· JAMB

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

   • A6
   • B5
   • C4
   • D3

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4. Question 4· Number bases· WAEC

   Multiply 12₃ by 2₃, giving the answer in base three.

   • A24₃
   • B101₃
   • C110₃
   • D102₃

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5. Question 5· Number bases· JAMB

   Convert 1101 (base 2) to base 8.

   • A13
   • B15
   • C31
   • D11

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6. Question 6· Number bases· WAEC

   Find the value of x if 23ₓ = 13 (base ten).

   • A4
   • B6
   • C5
   • D7

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7. Question 7· Number bases· WAEC

   Subtract 12₅ from 34₅, giving the answer in base five.

   • A21
   • B12
   • C22
   • D32

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8. Question 8· 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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9. Question 9· Number bases· JAMB

   Convert 1.11₂ to base ten.

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

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10. Question 10· Number bases· JAMB

    Convert 0.101 (base 2) to base 10.

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

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11. Question 11· Number bases· WAEC

    Convert 2103 in base four to base ten.

    • A135
    • B2103
    • C147
    • D151

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12. Question 12· Number bases· WAEC

    Subtract 1011₂ from 11010₂.

    • A1101₂
    • B1111₂
    • C1011₂
    • D10001₂

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13. Question 13· Number bases· JAMB

    Convert 52 (base 8) to base 10.

    • A45
    • B52
    • C40
    • D42

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14. Question 14· Number bases· WAEC

    Add 1011₂ and 111₂.

    • A10010₂
    • B11010₂
    • C10110₂
    • D10001₂

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15. Question 15· Number bases· WAEC

    Convert 0.625 (base ten) to base two.

    • A0.110₂
    • B0.011₂
    • C0.101₂
    • D0.111₂

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16. Question 16· Number bases· JAMB

    Convert 345 (base 6) to base 10.

    • A137
    • B345
    • C127
    • D147

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17. Question 17· Number bases· WAEC

    Evaluate 101₂ × 11₂, leaving the answer in base two.

    • A1101₂
    • B1011₂
    • C1111₂
    • D1110₂

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18. Question 18· Number bases· WAEC

    Add 213₄ and 132₄, giving the answer in base four.

    • A1010₄
    • B345₄
    • C1101₄
    • D1011₄

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19. Question 19· Number bases· JAMB

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

    • A1001
    • B1010
    • C1110
    • D1100

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20. Question 20· Number bases· JAMB

    Evaluate 341₆ − 125₆, giving the answer in base six.

    • A132₆
    • B216₆
    • C220₆
    • D212₆

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    Explanation and discussion