1.
Variation
y varies inversely as x. If y = 18 when x = 4, find y when x = 8.
Answer: A. y = k/x, so k = 18 × 4 = 72. When x = 8, y = 72 ÷ 8 = 9.
WAEC GCE 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 GCE is the version of the school-leaving exam for private candidates, usually held towards the end of the year. It follows the same syllabus as the May/June exam, with objective and theory papers.
- 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 27, 19, 80, 6, 18, 66, 56.
Answer: D. Arrange in order: 6, 18, 19, 27, 56, 66, 80. The middle (4th) value is 27.
3.
Percentages
A trader bought a bag for ₦15,800 and sold it for ₦18,170. Find the percentage profit.
Answer: B. Profit = 2,370; percentage profit = profit ÷ cost price × 100 = 15%.
4.
Quadratic equations
Find the roots of x² − 6x − 16 = 0.
Answer: D. Factorise: (x + 2)(x − 8) = 0, so x = -2 or x = 8.
5.
Indices
Simplify 2⁷ × 2⁸ ÷ 2⁹.
Answer: B. Same base: add powers when multiplying and subtract when dividing: 7 + 8 − 9 = 6, so 2⁶.
6.
Ratio and proportion
Share ₦12,000 between Ada and Bayo in the ratio 3 : 5. Find the larger share.
Answer: B. Total parts = 8; one part = 1,500; larger share = 5 × 1,500 = ₦7,500.
7.
Arithmetic
A bus covers 250 km in 5 hours. Find its average speed.
Answer: A. Speed = distance ÷ time = 250 ÷ 5 = 50 km/h.
8.
Simultaneous equations
Solve the simultaneous equations: x + y = 8 and x − y = 6.
Answer: C. Adding: 2x = 14, so x = 7. Then y = 8 − 7 = 1.
9.
Coordinate geometry
Find the gradient of the line joining (-4, -5) and (2, 1).
Answer: D. Gradient = (y₂ − y₁) ÷ (x₂ − x₁) = (6) ÷ (6) = 1.
10.
Probability
A bag contains 6 red, 8 blue and 1 green balls. A ball is picked at random. What is the probability that it is red?
Answer: B. P(red) = number of red ÷ total = 6/15 = 2/5.
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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 |