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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5 sample Core Mathematics questions
Answer each one, then tap “Show answer” to check.
- Question 1 · Logarithms · Objees practice question
Evaluate log₁₀ 1000.
- A 2
- B 3
- C 10
- D 100
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B 3
1000 = 10³, so log₁₀ 1000 = 3.
- Question 2 · Number bases · Objees practice question
Convert 101₂ to base ten.
- A 3
- B 6
- C 5
- D 101
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C 5
101₂ = (1 × 2²) + (0 × 2¹) + (1 × 2⁰) = 4 + 0 + 1 = 5.
- Question 3 · Quadratic equations · Objees practice question
Solve: 2x² − 8 = 0
- A x = ±2
- B x = ±4
- C x = 2 only
- D x = 4 only
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A x = ±2
2x² = 8, so x² = 4 and x = ±2. Don't forget the negative root.
- Question 4 · Variation · Objees practice question
y varies directly as x, and y = 12 when x = 3. Find y when x = 5.
- A 15
- B 17
- C 36
- D 20
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D 20
y = kx. From 12 = 3k, k = 4. So y = 4 × 5 = 20.
- Question 5 · Probability · Objees practice question
A fair die is thrown once. What is the probability of getting an even number?
- A 1/6
- B 1/2
- C 1/3
- D 2/3
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B 1/2
There are 3 even numbers (2, 4, 6) out of 6 outcomes: 3/6 = 1/2.
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