2025 WASSCE Core Mathematics Sample Questions To Solve

As you prepare for the 2025 WASSCE for school candidates, carefully take your time to read and solve the following Core Mathematics Sample Questions.

Read the following 2025 WASSCE Core Mathematics Sample Questions And Solve Them

Answer all questions in this section. All questions carry equal marks

Take note of the following…

1. Show all working for the 2025 WASSCE Core Mathematics Sample Questions
2. Ensure you do not cancel out answers and steps anyhow so that they are still readable.
3. Solve with others in groups so as to teach others and also learn from them.
4. Work the questions within a time of 1 hour and 30 minutes, then reduce the time in solving to 45 minutes.
5. Solve the questions at least three times in one week.

[40 marks]
Note that all questions under each section carry equal marks. Marks will be awarded for neat clear presentation and steps used to arrive at the final answer for each question.

1. A car that was bought for GH¢ 30,000.00 and marked to give a profit of 25% was reduced in a sale by 12%. Find

• a) Final sale price of the car,
• b) i. profit,
• Percentage Profit.

2. The probabilities that Stella and Esther will win their respective races are 2/3 and 3/5. Find the probability that:

• a) both of them will win
• b) only one of them will win.

3. (a) Using a ruler and a pair of compasses only, construct a trapezium ABCD in which the parallel sides AB and DC are 4cm apart, ∠DAB = 60°, AB = 8.8cm and DC = 5.3cm.

• b) Measure
• i) BC
• ii) ∠ABC

4. The fifteenth term of an Arithmetic Progression (AP) is five less than thrice the fifth term and the fourth term is 20. Find the:

• a) first term,
• b) common difference.

5. a) Given that sin x = 1/2, where 0° ≤ x ≤ 90°, evaluate tan²x + sec x − csc x.
6. b) Evaluate (5.67 × 10^−3 × 3.4 × 10^4) / (1.2 × 10^2), leaving your answer in standard form.

SECTION B

[60 marks]
Answer five questions only from this section. All questions carry equal marks.

6. a) Given that A(-3, -7), B(-9, 1) and C(-1, 9). If M is the midpoint of AB,

• i) find the coordinates of M;
• ii) express MC in the form (r, θ).

1. b) Given that y varies jointly as x and the square root of z. When x = 2, y = 6 and z = 9,

• i) express y in terms of x and z,
• ii) find the value of y when x = 3 and z = 16.

7. The table below shows the marks (%) obtained by a group of 50 students in a Mathematics test.

a) If the mean is 68.5%, find the values of m and n.

b) Find the mean deviation of the distribution.

c) If a student is selected at random from the group, find the probability that he or she scored at least 75%.

READ: 2025 WASSCE Candidates Will Fail Core Mathematics If…. – WAEC Chief Examiner’s Report

By solving these 2025 WASSCE Core Mathematics Sample Questions, you will be preparing for the WASSCE with confidence.