2023 WAEC MATHEMATICS
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Question 1 of 50
1. Question
Evaluate, correct to three decimal places: (4.314 × 0.000056) ÷ 0.0067
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Question 2 of 50
2. Question
There are 30 students in a class. The study worksheet and 13 study materials were distributed among them. How many students study worksheet but not study materials?
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Question 3 of 50
3. Question
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Question 4 of 50
4. Question
Express 4137₇ in base 5.
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Question 5 of 50
5. Question
Solve: log₃ˣ + log₃⁽ˣ⁻⁸⁾ = 2
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Question 6 of 50
6. Question
Mi. Manu is 4 times as old as his son, and they are now the same age. If their ages were 76 years, how old is Manu?
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Question 7 of 50
7. Question
Factorize completely: x² − (y + z)².
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Question 8 of 50
8. Question
Find the roots of the quadratic equation: 3m² − 2m − 65 = 0
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Question 9 of 50
9. Question
M varies jointly as the square of m and square root of q. If M = 24 when n = 2 and q = 4, find M when n = 5 and q = 9.
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Question 10 of 50
10. Question
find q:m
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Question 11 of 50
11. Question
One-third the sum of two numbers is 12. Twice their difference is 12. Find the numbers.
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Question 12 of 50
12. Question
Find the quadratic equation whose roots are 2/3 and −3/4.
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Question 13 of 50
13. Question
Make a table of the relation:
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Question 14 of 50
14. Question
The price of a shoe was decreased by 22%. If the new price was 27.30, what was the original price?
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Question 15 of 50
15. Question
The radius and height of a solid cylinder are 8 cm and 14 cm respectively. Find, correct to two decimal places, the total surface area. [π = 22/7]
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Question 16 of 50
16. Question
In the diagram, O is the centre of the circle NST. |NT| = |ST| and angle NTS = 36°. Find the measure of the angle marked t.
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Question 17 of 50
17. Question
A sphere has a radius 3 cm. Find, in terms of π, its volume.
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Question 18 of 50
18. Question
Arrange the following numbers in ascending order of magnitude:
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Question 19 of 50
19. Question
A notebook of length 15 cm was measured by a student as 16.8 cm. Calculate, correct to two decimal places, the percentage error in the measurement.
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Question 20 of 50
20. Question
Find the value of m in the diagram.
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Question 21 of 50
21. Question
A line L, passing through the point (6, -13), is parallel to the line which passes through (7, 4) and (−3, 9). Find the equation of line L.
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Question 22 of 50
22. Question
An empty cylindrical tank is 140 cm in diameter. If 200 litres of water was poured into the tank. Calculate, correct to the nearest centimeter, the height of the water in the tank. (Takeπ=22/7)
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Question 23 of 50
23. Question
Mrs. Keble stands at a distance of 110 m away from a building of vertical height 58 m. If Keble is 2 m tall, find the angle of elevation of the top of the building from her eye.
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Question 24 of 50
24. Question
Find the mean deviation of the set of numbers: 14, 15, 16, 17, 18, 19.
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Question 25 of 50
25. Question
The interior angle of a regular polygon is 6 times its exterior angle. Find the number of sides of the polygon.
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Question 26 of 50
26. Question
The length of the diagonal of a square is 12 cm. Calculate the area of the square.
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Question 27 of 50
27. Question
Consider the statements:
P: Siah is from Foya.
Q: Foya is in Lofa.
Write in symbolic form: "Siah is from Foya, then Foya is in Lofa."CorrectIncorrect -
Question 28 of 50
28. Question
What is the name of a triangle with vertices (1, −3), (6, 2) and (0, 4)?
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Question 29 of 50
29. Question
In the diagram, NR is a diameter. ∠AVR = x° and ∠SRV = (5x + 20)°
Find the value of 2x.CorrectIncorrect -
Question 30 of 50
30. Question
Find the value of a in the equation:
cos(a + 14°) = sin(4a + 6°)CorrectIncorrect -
Question 31 of 50
31. Question
A bag contains 4 white marble and 3 blue marbles. Another bag contains 5 red and 6 blue marbles. If a marble is picked at random from each bag, find the probability that they are of the same colour.
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Question 32 of 50
32. Question
The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector. (Take π = 22/7)
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Question 33 of 50
33. Question
The diagonals of a rhombus are 16 cm and 12 cm. Find the length of the side.
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Question 34 of 50
34. Question
The angle of elevation of the top of a vertical building from a point Z on the ground is 50°. If the height of the building is 124 m, find the distance from Z to the foot of the building.
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Question 35 of 50
35. Question
A student measured the height of a pole as 5.98 m which is less than the actual height. If the percentage error is 5%, find the correct to two decimal places, the actual height of the pole.
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Question 36 of 50
36. Question
In the diagram, O is the centre of the circle QRS and ∠SQR = 28°. Find ∠QRS.
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Question 37 of 50
37. Question
John was facing S55° E. If he turned 90° in the anticlockwise direction, find his new direction.
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Question 38 of 50
38. Question
If 2x − 3y = −11 and 3x + 2y = 3, evaluate (y − x)².
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Question 39 of 50
39. Question
An equilateral triangle has side 2 cm. Calculate the height of the triangle.
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Question 40 of 50
40. Question
A number is selected at random from 40 to 50 inclusive. Find the probability that the number is prime.
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Question 41 of 50
41. Question
Use the bar chart to answer questions 42-44
If the failed mark was 4, what is the probability that a student selected at random passed?
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Question 42 of 50
42. Question
Use this bar chart to answer questions 42-44
What percentage of students scored at most 5 marks?
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Question 43 of 50
43. Question
Use the bar chart to answer 42-44
How many students scored at least 3 marks?
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Question 44 of 50
44. Question
If logₐ 3 = m and logₐ 5 = p, find logₐ 75.
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Question 45 of 50
45. Question
In the diagram, M, N, R are points on the circle centre O. ∠ORN = 48° and ∠RNM = 124°. Find ∠OMN.v
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Question 46 of 50
46. Question
Simplify: 3√12 + 10√3 − 6/√3
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Question 47 of 50
47. Question
The truth set of 8 − 2x − x² = 0 is {p, q}. Evaluate p + q.
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Question 48 of 50
48. Question
Find the gradient of the line passing through the points (1/2, -1/3) and (3, 2/3).
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Question 49 of 50
49. Question
For what values of x is (x² + 2) / (10x² − 13x − 3) undefined?
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Question 50 of 50
50. Question
Solve
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