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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
- 0.361
- 0.036
- 0.037
- 0.004
Correct
Incorrect
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?
- 5
- 9
- 11
- 13
Correct
Incorrect
Question 3 of 50
3. Question
- 1/3
- 1/5
- 1/2
- 1/4
Correct
Incorrect
Question 4 of 50
4. Question
Express 4137₇ in base 5.
Correct
Incorrect
Question 5 of 50
5. Question
Solve: log₃ˣ + log₃⁽ˣ⁻⁸⁾ = 2
- 6
- 7
- 8
- 9
Correct
Incorrect
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?
- 12 years
- 15 years
- 18 years
- 22 years
Correct
Incorrect
Question 7 of 50
7. Question
Factorize completely: x² − (y + z)².
- (x-y+z)(x-y-z)
- (x+y+z)(x-y-z)
- (x+y-z)(x+y+z)
- (x-y-z)(x-y-z)
Correct
Incorrect
Question 8 of 50
8. Question
Find the roots of the quadratic equation: 3m² − 2m − 65 = 0
- (13/3, 5)
- (-13/3, -5)
- (-13/3, 5)
- (13/3, -5)
Correct
Incorrect
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.
- 288
- 400
- 300
- 225
Correct
Incorrect
Question 10 of 50
10. Question
find q:m
- 16:35
- 35:16
- 18:35
- 35:18
Correct
Incorrect
Question 11 of 50
11. Question
One-third the sum of two numbers is 12. Twice their difference is 12. Find the numbers.
- 21 and 15
- 20 and 16
- 22 and 14
- 23 and 13
Correct
Incorrect
Question 12 of 50
12. Question
Find the quadratic equation whose roots are 2/3 and −3/4.
- y² + y − 6 = 0
- 12y² − y − 6 = 0
- 12y² + y − 6 = 0
- 12y² − y + 6 = 0
Correct
Incorrect
Question 13 of 50
13. Question
Make a table of the relation:
Correct
Incorrect
Question 14 of 50
14. Question
The price of a shoe was decreased by 22%. If the new price was
- 62.30
- 42.30
- 72.00
- 35.00
Correct
Incorrect
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]
- 1,106.28 cm²
- 1,016.29 cm²
- 1,106.29 cm²
- 1,206.27 cm²
Correct
Incorrect
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.
- 36°
- 72°
- 108°
- 54°
Correct
Incorrect
Question 17 of 50
17. Question
A sphere has a radius 3 cm. Find, in terms of π, its volume.
- 27π cm³
- 108π cm³
- 36π cm³
- 30π cm³
Correct
Incorrect
Question 18 of 50
18. Question
Arrange the following numbers in ascending order of magnitude:
Correct
Incorrect
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.
- 12.00%
- 11.71%
- 11.10%
- 10.71%
Correct
Incorrect
Question 20 of 50
20. Question
Find the value of m in the diagram.
- 140°
- 130°
- 50°
- 40°
Correct
Incorrect
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.
- y = x/2-10
- y = -x/2+10
- y = -x/2-10
- y = x/2+10
Correct
Incorrect
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. ( $T a k e π = \frac{22}{7})$
- 91cm
- 7cm
- 13cm
- 57cm
Correct
Incorrect
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.
- 28°
- 27°
- 26°
- 20°
Correct
Incorrect
Question 24 of 50
24. Question
Find the mean deviation of the set of numbers: 14, 15, 16, 17, 18, 19.
- 1.7
- 1.5
- 2.5
- 3.5
Correct
Incorrect
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.
- 12
- 14
- 15
- 10
Correct
Incorrect
Question 26 of 50
26. Question
The length of the diagonal of a square is 12 cm. Calculate the area of the square.
- 36 cm²
- 48 cm²
- 72 cm²
- 18 cm²
Correct
Incorrect
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."
- q ⇒ p
- p ⇔ q
- p ⇒ q
- ∼q ⇔ p
Correct
Incorrect
Question 28 of 50
28. Question
What is the name of a triangle with vertices (1, −3), (6, 2) and (0, 4)?
- Isosceles triangle
- Equilateral triangle
- Right triangle
- Scalene triangle
Correct
Incorrect
Question 29 of 50
29. Question
In the diagram, NR is a diameter. ∠AVR = x° and ∠SRV = (5x + 20)°
Find the value of 2x.
- 20°
- 35°
- 42°
- 90°
Correct
Incorrect
Question 30 of 50
30. Question
Find the value of a in the equation:
cos(a + 14°) = sin(4a + 6°)
- 14
- 16
- 13
- 15
Correct
Incorrect
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.
- 1/2
- 18/77
- 11/12
- 9/11
Correct
Incorrect
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)
- 10.2 cm²
- 11.6 cm²
- 12.7 cm²
- 9.4 cm²
Correct
Incorrect
Question 33 of 50
33. Question
The diagonals of a rhombus are 16 cm and 12 cm. Find the length of the side.
- 8cm
- 10cm
- 14cm
- 20cm
Correct
Incorrect
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.
- 104.05m
- 147.78m
- 161.87m
- 192.91m
Correct
Incorrect
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.
- 6.65m
- 7.67m
- 6.29m
- 7.18m
Correct
Incorrect
Question 36 of 50
36. Question
In the diagram, O is the centre of the circle QRS and ∠SQR = 28°. Find ∠QRS.
- 76°
- 62°
- 56°
- 28°
Correct
Incorrect
Question 37 of 50
37. Question
John was facing S55° E. If he turned 90° in the anticlockwise direction, find his new direction.
- N55°E
- S55°E
- S35°W
- N35°W
Correct
Incorrect
Question 38 of 50
38. Question
If 2x − 3y = −11 and 3x + 2y = 3, evaluate (y − x)².
- 4
- 9
- 16
- 25
Correct
Incorrect
Question 39 of 50
39. Question
An equilateral triangle has side 2 cm. Calculate the height of the triangle.
- √3 cm
- √5 cm
- 3 cm
- 5 cm
Correct
Incorrect
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.
- 3/11
- 4/11
- 5/11
- 8/11
Correct
Incorrect
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?
- 0.64
- 0.36
- 0.74
- 0.52
Correct
Incorrect
Question 42 of 50
42. Question
Use this bar chart to answer questions 42-44
What percentage of students scored at most 5 marks?
- 63.2%
- 58.5%
- 41.5%
- 38.3%
Correct
Incorrect
Question 43 of 50
43. Question
Use the bar chart to answer 42-44
How many students scored at least 3 marks?
- 18
- 52
- 44
- 38
Correct
Incorrect
Question 44 of 50
44. Question
If logₐ 3 = m and logₐ 5 = p, find logₐ 75.
- m + p²
- 2m+p
- m+2p
- m² + p
Correct
Incorrect
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
- 76°
- 64°
- 58°
- 48°
Correct
Incorrect
Question 46 of 50
46. Question
Simplify: 3√12 + 10√3 − 6/√3
- 14√3
- 18√3
- 10√3
- 7√3
Correct
Incorrect
Question 47 of 50
47. Question
The truth set of 8 − 2x − x² = 0 is {p, q}. Evaluate p + q.
- -6
- -2
- 2
- 4
Correct
Incorrect
Question 48 of 50
48. Question
Find the gradient of the line passing through the points (1/2, -1/3) and (3, 2/3).
- 7/2
- 5/2
- 2/7
- 2/5
Correct
Incorrect
Question 49 of 50
49. Question
1. For what values of x is (x² + 2) / (10x² − 13x − 3) undefined?
- 7/2,1/5
- -3/2
- 3/2,-1/5
- -3/2,1/5
Correct
Incorrect
Question 50 of 50
50. Question
Solve
- 6
- 30
- 66
- 12
Correct
Incorrect