WAEC Mathematics questions: Indices, logarithms and surds

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

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

   Evaluate 2⁻³.

   • A−8
   • B1/6
   • C−6
   • D1/8

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

   Evaluate (8/27)^(−2/3).

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

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

   Evaluate (1/16)^(−1/2).

   • A8
   • B−4
   • C1/4
   • D4

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

   Evaluate log₁₀ 100 + log₁₀ 10.

   • A3
   • B2
   • C110
   • D1,000

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

   Rationalise 14/√7.

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

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6. Question 6· 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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7. Question 7· Indices, logarithms and surds· WAEC

   Simplify √75 − √27.

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

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

   Evaluate 125^(2/3).

   • A5
   • B25
   • C50
   • D15

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9. Question 9· 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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10. Question 10· Indices, logarithms and surds· WAEC

    Rationalise 10/√5.

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

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11. Question 11· 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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12. Question 12· Indices, logarithms and surds· WAEC

    Evaluate log₄ 64 + log₅ 25.

    • A6
    • B5
    • C4
    • D89

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

    Simplify √72 − √32.

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

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

    Evaluate 1000^(2/3).

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

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

    Evaluate log₃ 243.

    • A4
    • B81
    • C5
    • D6

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16. Question 16· 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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17. Question 17· Indices, logarithms and surds· WAEC

    Simplify 2√12 + √48 − √27.

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

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

    Simplify 125^(2/3).

    • A25
    • B5
    • C50
    • D15

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19. Question 19· 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 20· Indices, logarithms and surds· WAEC

    Simplify √48.

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

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