WASSCE past question

Core Mathematics 2020

Core Mathematics Paper 1

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1. [1]

WASSCE 2020 · Paper 1

Evaluate, correct to two decimal places, 75.0785 - 34.624 + 9.83.
2. [1]

WASSCE 2020 · Paper 1

If X = {x:x < 7} and Y = {y:y is a factor of 24} are subsets of µ = {1, 2, 3, ......, 10}, find X ∩ Y.
3. [1]

WASSCE 2020 · Paper 1

Simplify: \[\left[\left(\frac{16}{9}\right)^{-\frac{3}{2}} \times 16^{-\frac{3}{4}}\right]^{\frac{1}{3}}\]
4. [1]

WASSCE 2020 · Paper 1

Find the least value of x which satisfies the equation 4x = 7 (mod 9)
5. [1]

WASSCE 2020 · Paper 1

Express 1 + 2 log₁₀3 in the form log₁₀q
6. [1]

WASSCE 2020 · Paper 1

If \(101_2 + 12_y = 23_5\), find the value of y.
7. [1]

WASSCE 2020 · Paper 1

An amount of ₦ 550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x.
8. [1]

WASSCE 2020 · Paper 1

Given that (√3 + √5)/√5 = x + y√15, find the value of (x + y)
9. [1]

WASSCE 2020 · Paper 1

If x = 3 and y = -1, evaluate 2(x² - y³).
10. [1]

WASSCE 2020 · Paper 1

Solve 3x - 2y = 10 and x + 3y = 7.
11. [1]

WASSCE 2020 · Paper 1

The implication x ⇒ y is equivalent to
12. [1]

WASSCE 2020 · Paper 1

The first of a Geometric Progression (G.P) is 3 and the 5th term is 48. Find the common ratio.
13. [1]

WASSCE 2020 · Paper 1

Solve: (1/3)(5 - 3x) < (2/5)(3 - 7x).
14. [1]

WASSCE 2020 · Paper 1

Make m the subject of the relation k = √((m - y)/(m + 1)).
15. [1]

WASSCE 2020 · Paper 1

Find the quadratic equation whose roots are \(\frac{1}{2}\) and \(-\frac{1}{3}\).
16. [1]

WASSCE 2020 · Paper 1

Given that x is directly proportional to y and inversely proportional to z, x = 15 when y = 10 and z = 4, find the equation connecting x, y and z.
17. [1]

WASSCE 2020 · Paper 1

Two buses start from the same station at 9.00 am and travel in opposite directions along the same straight road. The first bus travels at a speed of 72 km/h and the second at 48 km/h. At what time will they be 240 km apart?
18. [1]

WASSCE 2020 · Paper 1

A solid cuboid has length 7 cm, width 5 cm and height 4 cm. Calculate its total surface area.
19. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** In the diagram, PQ//SR. Find the value of x.
20. [1]

WASSCE 2020 · Paper 1

Find the equation of the line parallel to 2y = 3(x - 2) and passes through the point (2, 3).
21. [1]

WASSCE 2020 · Paper 1

The expresson \(\frac{5x + 3}{6x(x + 1)}\) will be undefined when x equals
22. [1]

WASSCE 2020 · Paper 1

A man is five times as old as his son. In four years time, the product of their ages would be 340. If the son's age is y, express the product of their ages in terms of y.
23. [1]

WASSCE 2020 · Paper 1

Simplify: a/b - b/a - c/b.
24. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** In the diagram, XZY is an equilateral triangle of side 6 cm and T is the midpoint of XY. Find tan (∠ XZT).
25. [1]

WASSCE 2020 · Paper 1

A fence 2.4 m tall, is 10 m away from a tree of height 16 m. Calculate the angle of elevation of the top of the tree from the top of the fence.
26. [1]

WASSCE 2020 · Paper 1

Fati buys milk at ₦ x per tin and sells each at a profit of ₦ y. If she sells 10 tins of milk, how much does she receive from the sales?
27. [1]

WASSCE 2020 · Paper 1

If tan y is positive and sin y is negative, in which quadrant would y lie?
28. [1]

WASSCE 2020 · Paper 1

The dimensions of a rectangular base of a right pyramid are 9 cm by 5 cm. If the volume of the pyramid iis 105 cm3, how high is the pyramid?
29. [1]

WASSCE 2020 · Paper 1

Each interior angle of a regular polygon is 168°. Find the number of sides of the polygon.
30. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** In the diagram, MN//PQ, ∠ MNP = 2x and ∠ NPQ = (3x - 50°). Find the value of ∠ NPQ.
31. [1]

WASSCE 2020 · Paper 1

The length of an arc of a circle of radius 3.5 cm is \(1\frac{19}{36}\) cm. Calculate, correct to the nearest degree, the angle subtended by the arc at the centre of the circle. [Take π = \(\frac{22}{7}\)]
32. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** In the diagram, PU//SR, PS//TR, QS//UR. |UR| = 15 cm, |SR| = 8 cm, |PS| = 10 cm and area of ∆SUR = 24 cm2. Calculate the area of PTRS.
33. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** In the diagram, PQR is a circle with centre O. If ∠ OPQ = 48°, find the value of m.
34. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** The pie chart shows the population of men, women and children in a city. If the population of the city is 1,800,000, how many men are there?
35. [1]

WASSCE 2020 · Paper 1

The mean of the numbers 15, 21, 17, 26, 18 and 29 is 21. Calculate the standard deviation.
36. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** In the diagram, O is the centre of the circle. SOQ is a diameter and ∠ SRP = 37°. Find ∠ PSQ.
37. [1]

WASSCE 2020 · Paper 1

Find the sum of the interior angles of a pentagon.
38. [1]

WASSCE 2020 · Paper 1

The diameter of a sphere is 12 cm. Calculate, correct to the nearest cm³, the volume of the sphere. [Take π = \(\frac{22}{7}\)]
39. [1]

WASSCE 2020 · Paper 1

A box contains 12 identical balls, of which 5 are red, 4 blue and the rest are green. Use this information to answer the question below If a ball is selected at random from the box, what is the probability that it is green?
40. [1]

WASSCE 2020 · Paper 1

A box contains 12 identical balls, of which 5 are red, 4 blue and the rest are green. Use this information to answer the question below If two balls are selected at random one after the other with replacement, what is the probability that both are red?
41. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** In the diagram, PQ is a straight line. If m = \(\frac{1}{2}(x + y + z)\), find the value of m.
42. [1]

WASSCE 2020 · Paper 1

**TABLE WILL BE PROVIDED** The points on a linear graph are as shown in the table. Find the gradient (slope) of the line.
43. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** In the diagram, O is the centre of the circle, PQ and RS are tangents to the circle. Find the value of (m + n).
44. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** In the diagram, O is the centre of the circle. If ∠ NLM = 74°, ∠ LMN = 39° and ∠ LOM = x, find the value of x.
45. [1]

WASSCE 2020 · Paper 1

Which of the following is not a sufficient condition for two triangles to be congruent?
46. [1]

WASSCE 2020 · Paper 1

A woman received a discount of 20% on a piece of cloth she purchased from a shop. If she paid USD 525.00, what was the original price?
47. [1]

WASSCE 2020 · Paper 1

The interquartile range of a distribution is 7. If the 25th percentile is 16, find the upper quartile.
48. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** The graphs of the equations y = 2x + 5 and y = 2x² + x - 1 are shown. Use the information to answer the question below Find the points of intersection of the two graphs.
49. [1]

WASSCE 2020 · Paper 1

**DIAGRAM WILL BE PROVIDED** The graphs of the equations y = 2x + 5 and y = 2x² + x - 1 are shown. Use the information to answer the question below If x = -2.5, what is the value of y on the curve?
50. [1]

WASSCE 2020 · Paper 1

If (x + 2) is a factor of x² + px - 10, find the value of p.

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