JAMB and WAEC Further Mathematics questions

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

1. Question 201· Statistics· WAEC

   What are the class boundaries of the class 20–29 in a table of whole-number data?

   • A19 and 30
   • B20 and 29
   • C19.5 and 29.5
   • D20.5 and 29.5

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2. Question 202· Statistics· WAEC

   The interquartile range of a distribution is

   • AQ₃ − Q₁
   • BQ₃ + Q₁
   • C(Q₃ − Q₁)/2
   • DQ₂ − Q₁

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3. Question 203· Statistics· WAEC

   The mean of 5 numbers is 12. If one number, 20, is removed, the mean of the remaining numbers is

   • A11
   • B8
   • C12
   • D10

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4. Question 204· Statistics· WAEC

   The variance of the data 2, 4, 6 is

   • A2
   • B4
   • C8/3
   • D16/3

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5. Question 205· Surds, indices and logarithms· WAEC

   Evaluate log₈ 4.

   • A1/2
   • B3/2
   • C2/3
   • D2

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6. Question 206· Surds, indices and logarithms· WAEC

   Solve log₂(3x − 1) = 3.

   • A9
   • B8/3
   • C3
   • D2

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7. Question 207· Surds, indices and logarithms· WAEC

   Solve 3ˣ = 81.

   • Ax = 3
   • Bx = 4
   • Cx = 27
   • Dx = 9

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8. Question 208· Surds, indices and logarithms· WAEC

   Solve log₄ x = 3/2.

   • Ax = 12
   • Bx = 6
   • Cx = 16
   • Dx = 8

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9. Question 209· Surds, indices and logarithms· WAEC

   Solve the equation 2²ˣ − 5(2ˣ) + 4 = 0.

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

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10. Question 210· Surds, indices and logarithms· WAEC

    Simplify 8^(2/3).

    • A8/3
    • B16
    • C2
    • D4

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11. Question 211· Surds, indices and logarithms· WAEC

    Simplify (2√5 + 1)(2√5 − 1).

    • A20
    • B21
    • C9
    • D19

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12. Question 212· Surds, indices and logarithms· WAEC

    Given that log₂3 = 1.585, find log₂12.

    • A6.340
    • B4.755
    • C1.585
    • D3.585

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13. Question 213· Surds, indices and logarithms· WAEC

    Rationalise 1/(√5 − 2).

    • A(√5 + 2)/3
    • B√5 − 2
    • C√5 + 2
    • D1/3

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14. Question 214· Surds, indices and logarithms· WAEC

    If log 2 = 0.3010, then log 8 is

    • A0.9030
    • B0.6020
    • C2.4080
    • D0.3010

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15. Question 215· Surds, indices and logarithms· WAEC

    If log₁₀ x = 2.5, find x correct to one decimal place.

    • A25.0
    • B316.2
    • C250.0
    • D31.6

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16. Question 216· Surds, indices and logarithms· WAEC

    Simplify log₂ 8 + log₂ 4 − log₂ 16.

    • A2
    • B1
    • C0
    • D−1

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17. Question 217· Surds, indices and logarithms· WAEC

    Express 1/(2 − √3) in the form a + b√3.

    • A2 + √3
    • B2 − √3
    • C(2 + √3)/7
    • D−2 − √3

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18. Question 218· Surds, indices and logarithms· WAEC

    Express (√3 + 1)/(√3 − 1) in the form a + b√3.

    • A4 + 2√3
    • B1 + √3
    • C2 − √3
    • D2 + √3

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19. Question 219· Surds, indices and logarithms· WAEC

    Simplify (√5 + √3)(√5 − √3).

    • A8
    • B2
    • C2√15
    • D√2

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20. Question 220· Surds, indices and logarithms· WAEC

    Solve 9ˣ = 27.

    • A3
    • B2/3
    • C3/2
    • D1/2

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    Explanation and discussion