WASSCE 2026 (PC1) Core Mathematics Paper 1

These are the questions for the WASSCE 2026 Private Candidates (PC1) Core Mathematics Paper 1. The solutions may be found at Solutions to WASSCE 2026 (PC1) Core Maths Paper 1.

C. 1010

D. 1001

3. Find the value of \( \displaystyle \frac{\log 32}{\log{6} – \log{3}} \)

A. 2

B. 3

C. 4

D. 5

4. If \( 3^x \times 3^{x + 1} = 2187 \), find the value of \( x \).

A. 2

B. 3

C. 4

D. 5

5. Correct 10.10057 to four significant figures.

A. 10.1001

B. 10.105

C. 10.10

D. 10.101

6. Simplify: \( \displaystyle \sqrt{\frac{1}{12}}-\sqrt{\frac{1}{27}} \)

A. \( \displaystyle -\frac{\sqrt{3}}{3} \)

B. \( \displaystyle \frac{1}{3} \sqrt{3} \)

C. \( \displaystyle \frac{1}{18} \sqrt{3} \)

D. \( \displaystyle \frac{1}{5} \sqrt{3} \)

7. Simplify: \( \displaystyle \left( \frac{1}{x} + \frac{1}{y} \right) \div (x + y) \)

A. x + y

B. xy

C. \( \frac{1}{xy} \)

D. 1

8. Solve: \( \displaystyle \frac{x}{5}-\frac{x-2}{2} = \frac{3}{4} \)

A. x = 5/6

B. x = 3/35

C. x = -5/6

D. x = 6/35

9. Factorize: 3 – 2x – x².

A. (1 + x)(x – 3)

B. (1 + x)(x + 3)

C. (1 – x)(x – 3)

D. (1 – x)(x + 3)

10. Find the values of \( x \) for which \( \displaystyle \frac{1}{2}x-\frac{2}{3} < 3x + 1\frac{1}{3} \).

A. x > 4/5

B. x < 4/5

C. x > -4/5

D. x < -4/5

11. Find the interior angle of a regular polygon with 8 sides.

A. 105°

B. 45°

C. 80°

D. 135°

12. Given that \( 2x + y = 7 \) and \( x-y = 3 \), find the value of \( (x-7y) \).

A. 7

B. 1

C. -1

D. -7

13. The sum of three consecutive even integers is 54. Find the value of the smallest integer.

A. 16

B. 18

C. 20

D. 22

14. How many terms of the series 4 + 6 + 8 + … will sum up to 108?

A. 7

B. 8

C. 9

D. 10

15. Find the equation of the straight line parallel to the line \( y = 2x-5 \) and having y-intercept of 5.

A. \( 2x + y = 5 \)

B. \( 2x-y = 5 \)

C. \( 2x + y = -5 \)

D. \( 2x-y = -5 \)