1.
Variation
y varies inversely as x. If y = 24 when x = 4, find y when x = 12.
Answer: D. y = k/x, so k = 24 × 4 = 96. When x = 12, y = 96 ÷ 12 = 8.
WAEC SSCE Mathematics practice questions
Try 10 free Mathematics questions below, each with the answer explained. When you are ready, practise all 2,598 on a timed CBT screen.
The WASSCE (May/June) is the West African Examinations Council's final exam for secondary school students. Each subject has an objective (multiple-choice) paper and a theory or essay paper.
- 2,598 questions in our bank
- 25 topics
- Every answer explained
10 free sample questions
Tap an answer to check it and see the explanation.
2.
Statistics
Find the median of 36, 86, 95, 69, 41, 43, 59.
Answer: A. Arrange in order: 36, 41, 43, 59, 69, 86, 95. The middle (4th) value is 59.
3.
Percentages
A trader bought a bag for ₦1,400 and sold it for ₦1,610. Find the percentage profit.
Answer: C. Profit = 210; percentage profit = profit ÷ cost price × 100 = 15%.
4.
Quadratic equations
Find the roots of x² − 3x − 18 = 0.
Answer: B. Factorise: (x + 3)(x − 6) = 0, so x = -3 or x = 6.
5.
Indices
Simplify 9² × 9² ÷ 9³.
Answer: A. Same base: add powers when multiplying and subtract when dividing: 2 + 2 − 3 = 1, so 9¹.
6.
Coordinate geometry
Find the gradient of the line joining (-4, 6) and (-2, 2).
Answer: C. Gradient = (y₂ − y₁) ÷ (x₂ − x₁) = (-4) ÷ (2) = -2.
7.
Ratio and proportion
Share ₦5,850 between Ada and Bayo in the ratio 4 : 5. Find the larger share.
Answer: C. Total parts = 9; one part = 650; larger share = 5 × 650 = ₦3,250.
8.
Standard form
Express 43,800 in standard form.
Answer: D. Move the decimal point 4 places to the left: 4.38 × 10⁴.
9.
Simultaneous equations
Solve the simultaneous equations: x + y = 18 and x − y = 6.
Answer: B. Adding: 2x = 24, so x = 12. Then y = 18 − 12 = 6.
10.
Number bases
Convert 170₈ to base ten.
Answer: D. Multiply each digit by its place value in base 8 and add: the result is 120.
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Questions in the MyGradePrep bank for each topic.
| Topic | Questions |
|---|---|
| Mensuration | 342 |
| Statistics | 301 |
| Angles and triangles | 180 |
| Circle theorems | 171 |
| Sequences and series | 170 |
| Coordinate geometry | 141 |
| Percentages | 127 |
| Variation | 121 |
| Commercial arithmetic | 120 |
| Angles and parallel lines | 120 |
| Arithmetic | 91 |
| Linear equations | 62 |
| Indices | 61 |
| Quadratic equations | 61 |
| Number bases | 61 |
| Ratio and proportion | 60 |
| Simultaneous equations | 60 |
| Probability | 60 |
| Fractions | 60 |
| Standard form | 60 |
| Trigonometry | 56 |
| Plane geometry | 44 |
| Pythagoras | 40 |
| Logarithms | 16 |
| Polygons | 12 |