JAMB and WAEC Mathematics questions: Indices, logarithms and surds

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

1. Question 21· Indices, logarithms and surds· JAMB

   Given that log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771, find log₁₀ 6.

   • A1.4313
   • B0.1436
   • C0.9030
   • D0.7781

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2. Question 22· Indices, logarithms and surds· WAEC

   Without tables, simplify log 50 + log 4 − log 2 (logarithms to base ten).

   • Alog 52
   • B1
   • C2
   • D3

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3. Question 23· Indices, logarithms and surds· WAEC

   Rationalise 10/√5.

   • A10√5
   • B5√2
   • C2√5
   • D√5/2

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4. Question 24· Indices, logarithms and surds· WAEC

   Given that log₁₀ 2 = 0.3010, find log₁₀ 8.

   • A0.6020
   • B0.9030
   • C2.4080
   • D0.0903

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5. Question 25· Indices, logarithms and surds· WAEC

   Evaluate log₄ 64 + log₅ 25.

   • A6
   • B5
   • C4
   • D89

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6. Question 26· Indices, logarithms and surds· JAMB

   Simplify (a²b³)² ÷ a³b.

   • Aa⁷b⁷
   • Bab⁵
   • Cab⁶
   • Da²b⁵

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7. Question 27· Indices, logarithms and surds· JAMB

   Evaluate 8^(−2/3).

   • A4
   • B1/4
   • C−4
   • D1/16

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8. Question 28· Indices, logarithms and surds· JAMB

   Solve 9^(x − 1) = 27^(x − 3).

   • A7
   • B5
   • C−7
   • D11/5

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9. Question 29· Indices, logarithms and surds· WAEC

   Simplify √72 − √32.

   • A10√2
   • B4√2
   • C2√2
   • D√2

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10. Question 30· Indices, logarithms and surds· JAMB

    Evaluate 16^(3/4).

    • A4
    • B12
    • C8
    • D64

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11. Question 31· Indices, logarithms and surds· WAEC

    Evaluate 1000^(2/3).

    • A10
    • B2000/3
    • C100
    • D10,000

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12. Question 32· Indices, logarithms and surds· WAEC

    Evaluate log₃ 243.

    • A4
    • B81
    • C5
    • D6

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13. Question 33· Indices, logarithms and surds· WAEC

    Simplify 5³ × 5⁻¹, giving the answer as a whole number.

    • A125
    • B25
    • C5
    • D1/25

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14. Question 34· Indices, logarithms and surds· JAMB

    Simplify 81^(3/4) × 27^(−1/3).

    • A3
    • B9
    • C27
    • D1/9

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15. Question 35· Indices, logarithms and surds· WAEC

    Simplify 2√12 + √48 − √27.

    • A3√3
    • B5√3
    • C√33
    • D7√3

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16. Question 36· Indices, logarithms and surds· JAMB

    Expand (2√3 − √2)².

    • A12 − 2√6
    • B10
    • C14 + 4√6
    • D14 − 4√6

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17. Question 37· Indices, logarithms and surds· JAMB

    Solve log₂(x² − 4) = 5.

    • Ax = ±√32
    • Bx = 6 only
    • Cx = ±6
    • Dx = 36

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18. Question 38· Indices, logarithms and surds· WAEC

    Simplify 125^(2/3).

    • A25
    • B5
    • C50
    • D15

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19. Question 39· Indices, logarithms and surds· WAEC

    Simplify log 8 + log 5 − log 4 (base 10).

    • A1
    • Blog 9
    • C2
    • Dlog 2

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20. Question 40· Indices, logarithms and surds· WAEC

    Simplify √48.

    • A2√12
    • B3√4
    • C16√3
    • D4√3

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    Explanation and discussion