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WASSCE Core Mathematics past questions: practise online

WASSCE Core Mathematics objectives cover number, algebra, geometry, mensuration, trigonometry and statistics. The paper is long and the clock is tight, so learning to work fast and accurately is half the battle.

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  • 10 free questions to start

5 sample Core Mathematics questions

Answer each one, then tap “Show answer” to check.

  1. Question 1 · Logarithms · Objees practice question

    Evaluate log₁₀ 1000.

    1. A 2
    2. B 3
    3. C 10
    4. D 100
    Show answer

    B 3

    1000 = 10³, so log₁₀ 1000 = 3.

  2. Question 2 · Number bases · Objees practice question

    Convert 101₂ to base ten.

    1. A 3
    2. B 6
    3. C 5
    4. D 101
    Show answer

    C 5

    101₂ = (1 × 2²) + (0 × 2¹) + (1 × 2⁰) = 4 + 0 + 1 = 5.

  3. Question 3 · Quadratic equations · Objees practice question

    Solve: 2x² − 8 = 0

    1. A x = ±2
    2. B x = ±4
    3. C x = 2 only
    4. D x = 4 only
    Show answer

    A x = ±2

    2x² = 8, so x² = 4 and x = ±2. Don't forget the negative root.

  4. Question 4 · Variation · Objees practice question

    y varies directly as x, and y = 12 when x = 3. Find y when x = 5.

    1. A 15
    2. B 17
    3. C 36
    4. D 20
    Show answer

    D 20

    y = kx. From 12 = 3k, k = 4. So y = 4 × 5 = 20.

  5. Question 5 · Probability · Objees practice question

    A fair die is thrown once. What is the probability of getting an even number?

    1. A 1/6
    2. B 1/2
    3. C 1/3
    4. D 2/3
    Show answer

    B 1/2

    There are 3 even numbers (2, 4, 6) out of 6 outcomes: 3/6 = 1/2.

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