JAMB and WAEC Mathematics questions: Indices, logarithms and surds

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

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

   Simplify (√5 + 1)(√5 − 1).

   • A4
   • B6
   • C√5
   • D5

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

   Evaluate 2⁻³.

   • A−8
   • B1/6
   • C−6
   • D1/8

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3. Question 3· Indices, logarithms and surds· JAMB

   Evaluate log₂ 32 − log₂ 4.

   • A3
   • B28
   • C8
   • D5

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

   Evaluate (8/27)^(−2/3).

   • A9/4
   • B4/9
   • C3/2
   • D2/3

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

   Evaluate (1/16)^(−1/2).

   • A8
   • B−4
   • C1/4
   • D4

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

   Simplify 2^5 × 2^-3.

   • A2
   • B8
   • C4
   • D16

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

   Evaluate 27^(2/3).

   • A9
   • B18
   • C6
   • D3

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

   Simplify √(3/4) × √(16/27).

   • A4/9
   • B2/3
   • C3/2
   • D1/3

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

   Evaluate log₁₀ 100 + log₁₀ 10.

   • A3
   • B2
   • C110
   • D1,000

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

    Rationalise the denominator of 6/√3.

    • A6√3
    • B2√3
    • C√3
    • D3√2

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

    Rationalise 14/√7.

    • A14√7
    • B7√2
    • C√7/2
    • D2√7

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12. Question 12· Indices, logarithms and surds· JAMB

    Solve 2^(x + 1) = 32.

    • A4
    • B5
    • C3
    • D6

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13. Question 13· Indices, logarithms and surds· JAMB

    Evaluate 81^(1/4) × 27^(1/3).

    • A9
    • B6
    • C27
    • D3

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

    Simplify √50 − √18.

    • A√32
    • B4√2
    • C2√2
    • D8√2

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

    Given log 3 = 0.4771, find log 27.

    • A1.9084
    • B0.9542
    • C1.4313
    • D0.4771

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16. Question 16· Indices, logarithms and surds· WAEC

    Simplify √75 − √27.

    • A2√3
    • B√48
    • C8√3
    • D4√3

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

    Simplify √12 + √27.

    • A√39
    • B5√3
    • C6√3
    • D13√3

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18. Question 18· Indices, logarithms and surds· JAMB

    Evaluate log₁₀ 50 + log₁₀ 2.

    • A1
    • B10
    • C2
    • D100

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19. Question 19· Indices, logarithms and surds· JAMB

    Given log 2 = 0.3010 and log 5 = 0.6990, find log 0.4.

    • A−1.0000
    • B0.3980
    • C1.0000
    • D−0.3980

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

    Evaluate 125^(2/3).

    • A5
    • B25
    • C50
    • D15

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