Download 2024 WASSCE Core Mathematics Questions & Answers (PDF)

1. [1]

WASSCE 2024 · Paper 1

The sum of the interior angles of a polygon is 1260°. Find the number of sides.

2. [1]

WASSCE 2024 · Paper 1

A building is 12 m high. A football on the ground floor is 30 m away from the foot of the building. Find, correct to the nearest degree, the angle of depression of the ball from the top of the building.

3. [1]

WASSCE 2024 · Paper 1

A number is chosen at random from the set {13, 14, ...., 30}. What is the probability that it is a prime number?

4. [1]

WASSCE 2024 · Paper 1

Regina is 34 years old and her daughter is 5 years. In n years, Regina will be twice as old as her daughter. Find the value of n.

5. [1]

WASSCE 2024 · Paper 1

If P(−7, 8) is reflected in the line x − 2 = 0, find the coordinates of the image of P.

6. [1]

WASSCE 2024 · Paper 1

If the variable P is inversely proportional to Q² and P = 2.25 when Q = 6, find P when Q = 3.

7. [1]

WASSCE 2024 · Paper 1

Make x the subject of the relation: y = √(p x/r − r² x)

8. [1]

WASSCE 2024 · Paper 1

Seven men complete a certain work schedule in 6 days. How long will it take two of the men to complete the same work schedule if they work at the same rate?

9. [1]

WASSCE 2024 · Paper 1

If cos y is negative and sin y is negative, in which quadrant would y lie?

10. [1]

WASSCE 2024 · Paper 1

The volume of a cone is 264 cm³. If the base radius is 6 cm, find the height. [Take π = 22/7]

11. [1]

WASSCE 2024 · Paper 1

Find the value of x for which (2x − 1)/(x² + 2x + 1) is not defined.

12. [1]

WASSCE 2024 · Paper 1

The range of a sample of 10 numbers is 5 and the largest value is 50. What is the least value?

13. [1]

WASSCE 2024 · Paper 1

The mean of ten numbers is 16. When another number, k, is added, the mean becomes 18. Find the value of k.

14. [1]

WASSCE 2024 · Paper 1

The probability that John and James pass an examination are 3/4 and 3/5 respectively. Find the probability that both will fail.

15. [1]

WASSCE 2024 · Paper 1

The diagonals of a rhombus are 12 cm and 16 cm. Find the perimeter.

16. [1]

WASSCE 2024 · Paper 1

DIAGRAM WILL BE PROVIDED In the diagram PQR is a circle with centre O and ∠OQR = 42°. Find ∠QPR.

17. [1]

WASSCE 2024 · Paper 1

Solve: x(3x + 4) = 4.

18. [1]

WASSCE 2024 · Paper 1

If P = {−2, 0, 2, 4, 6} and Q = {−3, −1, 0, 2, 3, 5}, find the set P ∩ Q.

19. [1]

WASSCE 2024 · Paper 1

An office equipment depreciates at 15% per annum. If the cost is GH₵ 1,200.00 when new, find the value after three years.

20. [1]

WASSCE 2024 · Paper 1

Solve: (x − 2)/4 − (2x − 4)/3 = 5/6.

21. [1]

WASSCE 2024 · Paper 1

DIAGRAM WILL BE PROVIDED Calculate the value of t in the diagram.

22. [1]

WASSCE 2024 · Paper 1

Given that 6 ⊗ 7 = y (modulo 8), find the value of y.

23. [1]

WASSCE 2024 · Paper 1

Express 0.0063075 correct to three significant figures.

24. [1]

WASSCE 2024 · Paper 1

Given statements p and q, the statement p ∨ q is false only if

25. [1]

WASSCE 2024 · Paper 1

What is the gradient of the equation of the line?

26. [1]

WASSCE 2024 · Paper 1

The table describes the relation y = mx + c where m and c are constants. Use the information to answer the question below Find the equation of the line described in the table.

27. [1]

WASSCE 2024 · Paper 1

The second term of a Geometric Progression (G.P) is 9. If the fourth term is 81, find the common ratio.

28. [1]

WASSCE 2024 · Paper 1

DIAGRAM WILL BE PROVIDED In the diagram, ∆PQR is similar to ∆PWY. WY ∥ QR, QR = 15 cm, WY = 6 cm and WP = 4 cm. Find |WQ|.

29. [1]

WASSCE 2024 · Paper 1

A cylindrical container closed at both ends has a radius of 3 cm and height of 4 cm. What is the total surface area of the container? [Take π = 22/7]

30. [1]

WASSCE 2024 · Paper 1

The diameter of a bicycle wheel is 21 cm. If the wheel makes 8 complete revolutions, what will be the total distance covered by the wheel? [Take π = 22/7]

31. [1]

WASSCE 2024 · Paper 1

DIAGRAM WILL BE PROVIDED Find the value of x in the diagram.

32. [1]

WASSCE 2024 · Paper 1

The interior angles of a triangle are (y + 10)°, (2y − 40)° and (3y − 90)°. Which of the following accurately describes the triangle?

33. [1]

WASSCE 2024 · Paper 1

Given that sin A = 3/5, 0° ≤ A ≤ 90°, find the value of (tan A − cos A).

34. [1]

WASSCE 2024 · Paper 1

Simplify: 3 log x + log y − 2 log z.

35. [1]

WASSCE 2024 · Paper 1

Simplify: a^(−1/4) × a^(1/2) ÷ a^(−1/2).

36. [1]

WASSCE 2024 · Paper 1

The area of a square parcel of land is 256 m². A rectangular field of length 20 m has the same perimeter as the parcel of land. Find the area of the field.

37. [1]

WASSCE 2024 · Paper 1

Mr. Abban invested USD 1,200.00 for 3 years at 5% per annum compound interest. Find the interest earned at the end of three years.

38. [1]

WASSCE 2024 · Paper 1

DIAGRAM WILL BE PROVIDED In the diagram PR is tangent to the circle at Q. The centre of the circle is O and ∠QOS = 108°. Use the information to answer the question below Find ∠OSQ.

39. [1]

WASSCE 2024 · Paper 1

DIAGRAM WILL BE PROVIDED In the diagram PR is tangent to the circle at Q. The centre of the circle is O and ∠QOS = 108°. Use the information to answer the question below Find ∠SQR.

40. [1]

WASSCE 2024 · Paper 1

Find the value of x that satisfies the equation: 2/3 (x + 5) = 1 − (x − 7)/2.

41. [1]

WASSCE 2024 · Paper 1

A closed cuboid has length 12 cm, width 7 cm and height 5 cm. Calculate the total surface area.

42. [1]

WASSCE 2024 · Paper 1

Mr. Amuzu sold his car through an agent who charged 9% commission on the selling price. If Amuzu received GH₵ 236,600.00 after the sale, find the selling price of the car.

43. [1]

WASSCE 2024 · Paper 1

DIAGRAM WILL BE PROVIDED The diagram shows a triangle MNP inscribed in a circle. MQ is a tangent to the circle at M. Find ∠MPN.

44. [1]

WASSCE 2024 · Paper 1

In an examination taken by 120 students, 90 passed Mathematics, 40 passed Science and 5 failed both subjects. Use the information to answer the question below How many students passed Science only

45. [1]

WASSCE 2024 · Paper 1

In an examination taken by 120 students, 90 passed Mathematics, 40 passed Science and 5 failed both subjects. Use the information to answer the question below Find the probability that a student selected at random passed only one subject.

46. [1]

WASSCE 2024 · Paper 1

DIAGRAM WILL BE PROVIDED In the diagram, PR is a diameter of the circle PQS with centre O. Find ∠PQS.

47. [1]

WASSCE 2024 · Paper 1

If P(−7, 8) is reflected in the line x − 2 = 0, find the coordinates of the image of P.

48. [1]

WASSCE 2024 · Paper 1

Find the product of 124(seven) and 23(seven).

49. [1]

WASSCE 2024 · Paper 1

Given that m = 5, n = 3 and r = 2, evaluate (m² − n²) + r² / (m² + (n² − r²)).

50. [1]

WASSCE 2024 · Paper 1

Three boys of ages 2, 4 and 10 shared 32 oranges in the ratio of their ages. What was the least share?

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