JAMB Mathematics questions

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

1. Question 141· Indices, logarithms and surds· JAMB

   Evaluate 16^(3/4).

   • A4
   • B12
   • C8
   • D64

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2. Question 142· Indices, logarithms and surds· JAMB

   Simplify 81^(3/4) × 27^(−1/3).

   • A3
   • B9
   • C27
   • D1/9

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3. Question 143· Indices, logarithms and surds· JAMB

   Expand (2√3 − √2)².

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

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4. Question 144· Indices, logarithms and surds· JAMB

   Solve log₂(x² − 4) = 5.

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

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5. Question 145· Indices, logarithms and surds· JAMB

   Solve log₃ (x − 1) = 2.

   • A7
   • B9
   • C8
   • D10

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6. Question 146· Indices, logarithms and surds· JAMB

   Evaluate log₃ 81.

   • A4
   • B3
   • C27
   • D9

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7. Question 147· Indices, logarithms and surds· JAMB

   Given that log₁₀ 2 = 0.3010, find log₁₀ 0.2.

   • A0.0301
   • B−0.6990
   • C−0.3010
   • D1.3010

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8. Question 148· Indices, logarithms and surds· JAMB

   Simplify (√3 + √2)(√3 − √2).

   • A√6
   • B5
   • C1
   • D−1

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9. Question 149· Indices, logarithms and surds· JAMB

   Solve for x: 3^(2x) = 81.

   • A1
   • B2
   • C3
   • D4

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10. Question 150· Indices, logarithms and surds· JAMB

    Solve 2^(2x) − 6(2^x) + 8 = 0.

    • Ax = 1 or x = 3
    • Bx = 2 or x = 4
    • Cx = 1 or x = 2
    • Dx = 0 or x = 2

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11. Question 151· Indices, logarithms and surds· JAMB

    Rationalise the denominator of 1/(√3 − 1).

    • A(√3 + 1)/2
    • B(√3 − 1)/2
    • C√3 + 1
    • D(√3 + 1)/4

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12. Question 152· Indices, logarithms and surds· JAMB

    Solve 9^x = 27.

    • A1/3
    • B2/3
    • C3
    • D3/2

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13. Question 153· Indices, logarithms and surds· JAMB

    Simplify 2 log₁₀ 5 + log₁₀ 4.

    • A2
    • B1
    • Clog₁₀ 29
    • D10

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14. Question 154· Indices, logarithms and surds· JAMB

    Solve 4^x − 3(2^x) + 2 = 0.

    • Ax = 0 or 2
    • Bx = 1 or 2
    • Cx = 0 or 1
    • Dx = 1 only

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15. Question 155· Inequalities· JAMB

    Solve 4x + 3 > 2x − 5.

    • Ax < −4
    • Bx > −4
    • Cx > 4
    • Dx < 4

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16. Question 156· Inequalities· JAMB

    Solve 5 − 2x > 11.

    • Ax < −3
    • Bx > −3
    • Cx < 3
    • Dx > 3

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17. Question 157· Inequalities· JAMB

    What is the largest integer x that satisfies 5 − 2x > 1?

    • A0
    • B2
    • C1
    • D3

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18. Question 158· Inequalities· JAMB

    Solve x² − 9 ≥ 0.

    • Ax ≤ −3 or x ≥ 3
    • B−3 ≤ x ≤ 3
    • Cx ≥ 3 only
    • Dx ≤ 9

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19. Question 159· Inequalities· JAMB

    Solve (2x + 1)/3 − (x − 2)/4 ≥ 2.

    • Ax ≥ 34/5
    • Bx ≤ 14/5
    • Cx ≥ 2
    • Dx ≥ 14/5

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20. Question 160· Inequalities· JAMB

    How many integers satisfy −2 ≤ x < 3?

    • A3
    • B4
    • C6
    • D5

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