1.
Variation
y varies directly as x. If y = 70 when x = 10, find y when x = 6.
Answer: D. y = kx, so k = 70 ÷ 10 = 7. When x = 6, y = 7 × 6 = 42.
NECO 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 77, 34, 53, 30, 78, 75, 71.
Answer: C. Arrange in order: 30, 34, 53, 71, 75, 77, 78. The middle (4th) value is 71.
3.
Percentages
A trader bought a bag for ₦17,000 and sold it for ₦19,550. Find the percentage profit.
Answer: A. Profit = 2,550; percentage profit = profit ÷ cost price × 100 = 15%.
4.
Indices
Simplify 6⁷ × 6⁷ ÷ 6⁹.
Answer: B. Same base: add powers when multiplying and subtract when dividing: 7 + 7 − 9 = 5, so 6⁵.
5.
Quadratic equations
Find the roots of x² − 10x + 21 = 0.
Answer: B. Factorise: (x − 3)(x − 7) = 0, so x = 3 or x = 7.
6.
Arithmetic
A bus covers 270 km in 3 hours. Find its average speed.
Answer: C. Speed = distance ÷ time = 270 ÷ 3 = 90 km/h.
7.
Sequences and series
Find the sum of the first 9 terms of the AP 4, 6, 8, …
Answer: D. Sₙ = n/2 [2a + (n − 1)d] = 9/2 × [8 + 16] = 108.
8.
Number bases
Convert 100110₂ to base ten.
Answer: C. Multiply each digit by its place value in base 2 and add: the result is 38.
9.
Coordinate geometry
Find the gradient of the line joining (-1, 3) and (3, -9).
Answer: C. Gradient = (y₂ − y₁) ÷ (x₂ − x₁) = (-12) ÷ (4) = -3.
10.
Ratio and proportion
Share ₦5,100 between Ada and Bayo in the ratio 1 : 2. Find the larger share.
Answer: A. Total parts = 3; one part = 1,700; larger share = 2 × 1,700 = ₦3,400.
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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 |