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Civil and Mechanical

w maths 24

Written by Admin December 3, 2025December 3, 2025

Maths Waec 2024

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Question 1 of 50

1. Question

Consider the following statements:

m = Edna is respectful

n = Edna is brilliant,

If m ⇒ n, which of the following is valid?

¬n ⇒ ¬m
Correct Incorrect Correct answer

¬m ⇒ ¬n
Correct Incorrect Correct answer

n ⇒ ¬m
Correct Incorrect Correct answer

m ⇒ n
Correct Incorrect Correct answer

Correct

Incorrect
Question 2 of 50

2. Question

A cone and a cylinder are of equal volume. The base radius of the cone is twice the radius of the cylinder. What is the ratio of the height of the cylinder to that of the cone?

5:4
Correct Incorrect Correct answer

4:3
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3:2
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3:4
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Correct

Incorrect
Question 3 of 50

3. Question

Find the range of the following set of numbers: 28, 29, 39, 38, 33, 37, 26, 20, 15, and 25.

22
Correct Incorrect Correct answer

24
Correct Incorrect Correct answer

25
Correct Incorrect Correct answer

27
Correct Incorrect Correct answer

Correct

Incorrect
Question 4 of 50

4. Question

Multiply 3.4 x 10^ $^{- 5}$ by 7.1 x 10^ $^{8}$ and leave the answer in standard form.

2.414 x 10^2
Correct Incorrect Correct answer

2.414 x 10^3
Correct Incorrect Correct answer

2.414 x 10^4
Correct Incorrect Correct answer

2.414 x 10^5
Correct Incorrect Correct answer

Correct

Incorrect
Question 5 of 50

5. Question

A number is added to both the numerator and the denominator of the fraction $\frac{1}{8}$ if the result is $\frac{1}{2}$ , find the number.

3
Correct Incorrect Correct answer

4
Correct Incorrect Correct answer

5
Correct Incorrect Correct answer

6
Correct Incorrect Correct answer

Correct

Incorrect
Question 6 of 50

6. Question

Find, correct to the nearest whole number, the value of h in the diagram above.

15 m
Correct Incorrect Correct answer

22 m
Correct Incorrect Correct answer

23 m
Correct Incorrect Correct answer

18 m
Correct Incorrect Correct answer

Correct

Incorrect
Question 7 of 50

7. Question

The fourth and eighth terms of an Arithmetic Progression are 16 and 40 respectively. Find the common difference.

-6
Correct Incorrect Correct answer

6
Correct Incorrect Correct answer

-2
Correct Incorrect Correct answer

2
Correct Incorrect Correct answer

Correct

Incorrect
Question 8 of 50

8. Question

Given that P = {p: 1< p < 20}, where p is an integer and R = {r : 0 $\leq$ r $\leq$ 25, where r is a multiple of 4}. Find P ∩ R.

{4, 8, 10, 16}
Correct Incorrect Correct answer

{4, 8, 12, 16}
Correct Incorrect Correct answer

{4, 8, 12, 16, 20}
Correct Incorrect Correct answer

{4, 8, 12, 16, 20, 24}
Correct Incorrect Correct answer

Correct

Incorrect
Question 9 of 50

9. Question

Gifty, Justina, and Frank shared 60 oranges in the ratio 5: 3: 7 respectively. How many oranges did Justina receive?

16
Correct Incorrect Correct answer

12
Correct Incorrect Correct answer

20
Correct Incorrect Correct answer

28
Correct Incorrect Correct answer

Correct

Incorrect
Question 10 of 50

10. Question

The gradient of the line joining the points P(2, -8) and Q(1, y) is -4. Find the value of y.

2
Correct Incorrect Correct answer

4
Correct Incorrect Correct answer

-4
Correct Incorrect Correct answer

-3
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Correct

Incorrect
Question 11 of 50

11. Question

For what values of y is not defined?

-3/4, 1/2
Correct Incorrect Correct answer

-3/4, -1/2
Correct Incorrect Correct answer

3/4, 1/2
Correct Incorrect Correct answer

3/4, -1/2
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Correct

Incorrect
Question 12 of 50

12. Question

The first term of an Arithmetic Progression (A.P) is 2 and the last term is 29. If the common difference is 3, how many terms are in the A.P.?

8
Correct Incorrect Correct answer

9
Correct Incorrect Correct answer

10
Correct Incorrect Correct answer

11
Correct Incorrect Correct answer

Correct

Incorrect
Question 13 of 50

13. Question

Find the quadratic equation whose roots are 2/3 and -1.

3x^2 - x - 2 = 0
Correct Incorrect Correct answer

3x^2 + x + 2 = 0
Correct Incorrect Correct answer

3x^2 + x - 2 = 0
Correct Incorrect Correct answer

3x^2 + x - 1 = 0
Correct Incorrect Correct answer

Correct

Incorrect
Question 14 of 50

14. Question

In the diagram above, $\bar{P Q}$ || $\bar{R S}$ , $∠$ WYZ = 44º and $∠$ WXY = 50º. Find $∠$ WTX.

65º
Correct Incorrect Correct answer

68º
Correct Incorrect Correct answer

86º
Correct Incorrect Correct answer

90º
Correct Incorrect Correct answer

Correct

Incorrect
Question 15 of 50

15. Question

Express in index form:

x + y = 3
Correct Incorrect Correct answer

xy = 3
Correct Incorrect Correct answer

xy = a^3
Correct Incorrect Correct answer

x + y = a^3
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Correct

Incorrect
Question 16 of 50

16. Question

A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.

8m
Correct Incorrect Correct answer

14m
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16m
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24m
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Correct

Incorrect
Question 17 of 50

17. Question

The perimeter of a rectangular garden is 90 m. If the width is 7 m less than the length, find the length of the garden.

19 m
Correct Incorrect Correct answer

23 m
Correct Incorrect Correct answer

24 m
Correct Incorrect Correct answer

26 m
Correct Incorrect Correct answer

Correct

Incorrect
Question 18 of 50

18. Question

3p(p - 2q)
Correct Incorrect Correct answer

2p(p - 3q)
Correct Incorrect Correct answer

3p(2p - q)
Correct Incorrect Correct answer

2p(3p - q)
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Correct

Incorrect
Question 19 of 50

19. Question

In the diagram above, $\bar{M N} | | \bar{K L}$ $\bar{M L}$ and $\bar{K N}$ intersect at X. | $\bar{M N}$ | = 12cm, | $\bar{M X}$ | = 10cm and | $\bar{M N}$ | = 9cm. If the area of $△$ MXN is 16cm^ $^{2}$ , calculate the area of $△$ LXK.

9cm^2
Correct Incorrect Correct answer

8cm^2
Correct Incorrect Correct answer

10cm^2
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12cm^2
Correct Incorrect Correct answer

Correct

Incorrect
Question 20 of 50

20. Question

Four of the angles of a hexagon sum up to 420º. If the remaining angles are equal, find the value of each of the angles.

60º
Correct Incorrect Correct answer

100º
Correct Incorrect Correct answer

120º
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150º
Correct Incorrect Correct answer

Correct

Incorrect
Question 21 of 50

21. Question

If (3 - 4 $\sqrt{2}$ )(1 + 3 $\sqrt{2}$ ) = a + b $\sqrt{2}$ , find the value of b.

-5
Correct Incorrect Correct answer

5
Correct Incorrect Correct answer

-21
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21
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Correct

Incorrect
Question 22 of 50

22. Question

A ladder 15 m long leans against a vertical pole, making an angle of 72º with the horizontal. Calculate, correct to one decimal place, the distance between the foot of the ladder and the pole.

15.8 m
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14.3 m
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4.9 m
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4.6 m
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Correct

Incorrect
Question 23 of 50

23. Question

Find the value of x in the diagram above.

120º
Correct Incorrect Correct answer

100º
Correct Incorrect Correct answer

60º
Correct Incorrect Correct answer

150º
Correct Incorrect Correct answer

Correct

Incorrect
Question 24 of 50

24. Question

Find the sum for which $ 1,250.00 will amount to $ 2,031.25 at 12.5% per annum simple interest.

2 years
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3 years
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4 years
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5 years
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Correct

Incorrect
Question 25 of 50

25. Question

In the diagram above, O is the centre of the circle. If | $\bar{O A}$ = 25 cm and | $\bar{A B}$ = 40 cm, find | $\bar{O H}$ |.

15cm
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20cm
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25cm
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30cm
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Correct

Incorrect
Question 26 of 50

26. Question

The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the mean mass.

44 kg
Correct Incorrect Correct answer

50 kg
Correct Incorrect Correct answer

40 kg
Correct Incorrect Correct answer

53 kg
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Correct

Incorrect
Question 27 of 50

27. Question

find the value of x.

8
Correct Incorrect Correct answer

16
Correct Incorrect Correct answer

64
Correct Incorrect Correct answer

122
Correct Incorrect Correct answer

Correct

Incorrect
Question 28 of 50

28. Question

A car valued at $ 600,000.00 depreciates by 10% each year. What will be the value of the car at the end of two years?

$ 120,000.00
Correct Incorrect Correct answer

$ 480,000.00
Correct Incorrect Correct answer

$ 486,000.00
Correct Incorrect Correct answer

$ 540,000.00
Correct Incorrect Correct answer

Correct

Incorrect
Question 29 of 50

29. Question

The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the variance of the distribution.

35
Correct Incorrect Correct answer

36
Correct Incorrect Correct answer

40
Correct Incorrect Correct answer

50
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Correct

Incorrect
Question 30 of 50

30. Question

The population of a town increases by 3% every year. In the year 2000, the population was 3000. Find the population in the year 2003.

3,182
Correct Incorrect Correct answer

3,278
Correct Incorrect Correct answer

6,591
Correct Incorrect Correct answer

7,515
Correct Incorrect Correct answer

Correct

Incorrect
Question 31 of 50

31. Question

Given that P is 25 m on a bearing of 330º from Q, how far south of P is Q?

25.2 m
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21.7 m
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19.8 m
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18.5 m
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Correct

Incorrect
Question 32 of 50

32. Question

Two opposite sides of a rectangle are (5x + 3) m and (2x + 9) m. If an adjacent side is (6x - 7) m, find in m^ $^{2}$ , the area of the rectangle.

45
Correct Incorrect Correct answer

65
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125
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165
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Correct

Incorrect
Question 33 of 50

33. Question

A trader gave a change of # 540.00 instead of # 570.00 to a customer. Caculate the percentage error.

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

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Correct

Incorrect
Question 34 of 50

34. Question

The length and breadth of a cuboid are 15 cm and 8 cm respectively. If the volume of the cuboid is 1560 cm^ $^{3}$ , calculate the total surface area.

976cm^2
Correct Incorrect Correct answer

838cm^2
Correct Incorrect Correct answer

792cm^2
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746cm^2
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Correct

Incorrect
Question 35 of 50

35. Question

A die is tossed once. Find the probability of getting a prime number.

1/2
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1/6
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1/3
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2/3
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Correct

Incorrect
Question 36 of 50

36. Question

The interior angle of a regular polygon is 168º. Find the number of sides of the polygon.

24
Correct Incorrect Correct answer

30
Correct Incorrect Correct answer

15
Correct Incorrect Correct answer

12
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Correct

Incorrect
Question 37 of 50

37. Question

The number 1621 was subtracted from 6244 in base x. If the result was 4323, find x.

seven
Correct Incorrect Correct answer

eight
Correct Incorrect Correct answer

nine
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ten
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Correct

Incorrect
Question 38 of 50

38. Question

The area of a sector of a circle with radius 7cm is 51.3 cm^ $^{2}$ . Calculate, correct to the nearest whole number, the angle of the sector. (Take $π$ = $\frac{22}{7}$ )

60
Correct Incorrect Correct answer

100
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120
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150
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Correct

Incorrect
Question 39 of 50

39. Question

If 3x - 2y = - 5 and x + 2y = 9, find the value of $\frac{x - y}{x + y}$

5/3
Correct Incorrect Correct answer

3/5
Correct Incorrect Correct answer

-3/5
Correct Incorrect Correct answer

-5/3
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Correct

Incorrect
Question 40 of 50

40. Question

Factorize completely: 27x^2 - 48y^2.

3(3x + 4y)(3x - 4y)
Correct Incorrect Correct answer

3(3x + 4y)(3x + 4y)
Correct Incorrect Correct answer

3(9x - 16y)(9x + 16y)
Correct Incorrect Correct answer

3(9x - 16y)(9x - 16y)
Correct Incorrect Correct answer

Correct

Incorrect
Question 41 of 50

41. Question

A cliff on the bank of a river 87 m high. A boat on the river is 22 m away from the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

76º
Correct Incorrect Correct answer

54º
Correct Incorrect Correct answer

36º
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24º
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Correct

Incorrect
Question 42 of 50

42. Question

A variable W varies partly as M and Partly inversely as P. Which of the following correctly represents the relation with k $_{1}$ and k $_{2}$ constants?

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct

Incorrect
Question 43 of 50

43. Question

For what values of x is

x ≥ 5
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x ≥ 6
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x ≥ 7
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x ≥ 8
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Correct

Incorrect
Question 44 of 50

44. Question

In the diagram $\bar{T U}$ is a tangent to the circle SPQR at P. If $∠$ PTS = 44º, $∠$ SQP = 35º, find $∠$ PST.

101º
Correct Incorrect Correct answer

125º
Correct Incorrect Correct answer

130º
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135º
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Correct

Incorrect
Question 45 of 50

45. Question

A cylindrical metallic barrel of height 2.5m and radius 0.245 is closed at one end. Find, correct to one decimal place, the total surface area of the barrel (Take π = $\frac{22}{7}$ )

2.1 m^2
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3.5 m^2
Correct Incorrect Correct answer

4.0 m^2
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9.4 m^2
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Correct

Incorrect
Question 46 of 50

46. Question

In the diagram above, < SQR = 52º and < PRT = 16º. Find the value of the angle marked y.

64º
Correct Incorrect Correct answer

68º
Correct Incorrect Correct answer

112º
Correct Incorrect Correct answer

128º
Correct Incorrect Correct answer

Correct

Incorrect
Question 47 of 50

47. Question

The probability that Amaka will pass an examination is 3/7 and that Bala will pass is 4/9. Find the probability that both will pass the examination.

2/21
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4/21
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5/21
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9/21
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Correct

Incorrect
Question 48 of 50

48. Question

Make R the subject of the relation

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct

Incorrect
Question 49 of 50

49. Question

In the diagram above, JKL is a tangent to the circle GHIK at K.

93º
Correct Incorrect Correct answer

55º
Correct Incorrect Correct answer

86º
Correct Incorrect Correct answer

90º
Correct Incorrect Correct answer

Correct

Incorrect
Question 50 of 50

50. Question

Which of the following points lies on the line 3x - 8y = 11?

(1, 1)
Correct Incorrect Correct answer

(1, -1)
Correct Incorrect Correct answer

(-1, 1)
Correct Incorrect Correct answer

(-1, -1)
Correct Incorrect Correct answer

Correct

Incorrect

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