JAMB Mathematics questions: Indices, logarithms and surds

30 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· JAMB

   Evaluate log₂ 32 − log₂ 4.

   • A3
   • B28
   • C8
   • D5

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

   Simplify 2^5 × 2^-3.

   • A2
   • B8
   • C4
   • D16

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

   Evaluate 27^(2/3).

   • A9
   • B18
   • C6
   • D3

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

   Simplify √(3/4) × √(16/27).

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

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

   Rationalise the denominator of 6/√3.

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

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

   Solve 2^(x + 1) = 32.

   • A4
   • B5
   • C3
   • D6

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

   Evaluate 81^(1/4) × 27^(1/3).

   • A9
   • B6
   • C27
   • D3

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

   Simplify √50 − √18.

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

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

    Simplify √12 + √27.

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

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

    Evaluate log₁₀ 50 + log₁₀ 2.

    • A1
    • B10
    • C2
    • D100

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12. Question 12· 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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13. Question 13· 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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14. Question 14· Indices, logarithms and surds· JAMB

    Simplify (a²b³)² ÷ a³b.

    • Aa⁷b⁷
    • Bab⁵
    • Cab⁶
    • Da²b⁵

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

    Evaluate 8^(−2/3).

    • A4
    • B1/4
    • C−4
    • D1/16

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

    Solve 9^(x − 1) = 27^(x − 3).

    • A7
    • B5
    • C−7
    • D11/5

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

    Evaluate 16^(3/4).

    • A4
    • B12
    • C8
    • D64

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

    Simplify 81^(3/4) × 27^(−1/3).

    • A3
    • B9
    • C27
    • D1/9

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

    Expand (2√3 − √2)².

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

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

    Solve log₂(x² − 4) = 5.

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

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