1.
Variation
y varies inversely as x. If y = 88 when x = 1, find y when x = 8.
Answer: D. y = k/x, so k = 88 × 1 = 88. When x = 8, y = 88 ÷ 8 = 11.
NECO 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 NECO SSCE (June/July) is the National Examinations Council's final exam for Nigerian secondary school students. Like WAEC, each subject has an objective paper and a theory paper, and the syllabus covers the same topics.
- 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 range of 51, 82, 70, 14, 10, 78.
Answer: C. Range = highest − lowest = 82 − 10 = 72.
3.
Percentages
A trader bought a bag for ₦12,800 and sold it for ₦16,000. Find the percentage profit.
Answer: C. Profit = 3,200; percentage profit = profit ÷ cost price × 100 = 25%.
4.
Indices
Simplify 9⁹ × 9⁸ ÷ 9¹¹.
Answer: C. Same base: add powers when multiplying and subtract when dividing: 9 + 8 − 11 = 6, so 9⁶.
5.
Quadratic equations
Find the roots of x² − 4x − 45 = 0.
Answer: C. Factorise: (x + 5)(x − 9) = 0, so x = -5 or x = 9.
6.
Commercial arithmetic
Find the amount after 2 years if ₦2,000 is invested at 10% compound interest per annum.
Answer: B. A = P(1 + r/100)² = 2,000 × 1.1² = ₦2,420.
7.
Sequences and series
Find the sum of the first 17 terms of the AP 8, 13, 18, …
Answer: D. Sₙ = n/2 [2a + (n − 1)d] = 17/2 × [16 + 80] = 816.
8.
Number bases
Convert 264₈ to base ten.
Answer: C. Multiply each digit by its place value in base 8 and add: the result is 180.
9.
Arithmetic
A bus covers 280 km in 8 hours. Find its average speed.
Answer: D. Speed = distance ÷ time = 280 ÷ 8 = 35 km/h.
10.
Standard form
Express 91,600,000 in standard form.
Answer: C. Move the decimal point 7 places to the left: 9.16 × 10⁷.
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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 |