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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
- ¬m ⇒ ¬n
- n ⇒ ¬m
- m ⇒ n
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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
- 4:3
- 3:2
- 3:4
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
- 24
- 25
- 27
Correct
Incorrect
Question 4 of 50
4. Question
Multiply 3.4 × 10⁻⁵ by 7.1 × 10⁸ and leave the answer in standard form.
- 2.414 × 10²
- 2.414 × 10³
- 2.414 × 10⁴
- 2.414 × 10⁵
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
- 4
- 5
- 6
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
- 22 m
- 23 m
- 18 m
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
- 6
- -2
- 2
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}
- {4, 8, 12, 16}
- {4, 8, 12, 16, 20}
- {4, 8, 12, 16, 20, 24}
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
- 12
- 20
- 28
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
- 4
- -4
- -3
Correct
Incorrect
Question 11 of 50
11. Question
For what values of y is not defined?
- -3/4, 1/2
- -3/4, -1/2
- 3/4, 1/2
- 3/4, -1/2
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
- 9
- 10
- 11
Correct
Incorrect
Question 13 of 50
13. Question
Find the quadratic equation whose roots are 2/3 and -1.
- 3x² - x - 2 = 0
- 3x² + x + 2 = 0
- 3x² + x - 2 = 0
- 3x² + x - 1 = 0
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
- 68º
- 86º
- 90º
Correct
Incorrect
Question 15 of 50
15. Question
Express in index form:
- x + y = 3
- xy = 3
- xy = a³
- x + y = a³
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
- 14m
- 16m
- 24m
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
- 23 m
- 24 m
- 26 m
Correct
Incorrect
Question 18 of 50
18. Question
Simplify: (2p − q)² − (p + q)².
- 3p(p - 2q)
- 2p(p - 3q)
- 3p(2p - q)
- 2p(3p - q)
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.
- 9cm²
- 8cm²
- 10cm²
- 12cm²
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
- 100º
- 120º
- 150º
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
- 5
- -21
- 21
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
- 14.3 m
- 4.9 m
- 4.6 m
Correct
Incorrect
Question 23 of 50
23. Question
Find the value of x in the diagram above.
- 120º
- 100º
- 60º
- 150º
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
- 3 years
- 4 years
- 5 years
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
- 20cm
- 25cm
- 30cm
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
- 50 kg
- 40 kg
- 53 kg
Correct
Incorrect
Question 27 of 50
27. Question
find the value of x.
- 8
- 16
- 64
- 122
Correct
Incorrect
Question 28 of 50
28. Question
Given that P is 25 m on a bearing of 330º from Q, how far south of P is Q?
- 25.2m
- 21.7m
- 19.8m
- 18.5m
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
- 36
- 40
- 50
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
- 3,278
- 6,591
- 7,515
Correct
Incorrect
Question 31 of 50
31. 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?
- 120000.00
- 480000.00
- 486000.00
- 540000.00
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 m², the area of the rectangle.
- 45
- 65
- 125
- 165
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
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 cm³, calculate the total surface area.
- 976cm²
- 838cm²
- 792cm²
- 746cm²
Correct
Incorrect
Question 35 of 50
35. Question
A die is tossed once. Find the probability of getting a prime number.
- 1/2
- 1/6
- 1/3
- 2/3
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
- 30
- 15
- 12
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
- eight
- nine
- ten
Correct
Incorrect
Question 38 of 50
38. Question
The area of a sector of a circle with radius 7cm is 51.3 cm². Calculate, correct to the nearest whole number, the angle of the sector. (Take $π$ = $\frac{22}{7}$ )
- 60
- 100
- 120
- 150
Correct
Incorrect
Question 39 of 50
39. Question
If 3x - 2y = - 5 and x + 2y = 9, find the value of (x − y) / (x + y).
- 5/3
- 3/5
- -3/5
- -5/3
Correct
Incorrect
Question 40 of 50
40. Question
Factorize completely: 27x² - 48y².
- 3(3x + 4y)(3x - 4y)
- 3(3x + 4y)(3x + 4y)
- 3(9x - 16y)(9x + 16y)
- 3(9x - 16y)(9x - 16y)
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
- 54º
- 36º
- 24º
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
Question 43 of 50
43. Question
For what values of x is
- x ≥ 5
- x ≥ 6
- x ≥ 7
- x ≥ 8
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
- 125º
- 130º
- 135º
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 m²
- 3.5 m²
- 4.0 m²
- 9.4 m²
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
- 68º
- 112º
- 128º
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
- 4/21
- 5/21
- 9/21
Correct
Incorrect
Question 48 of 50
48. Question
Make R the subject of the relation
Correct
Incorrect
Question 49 of 50
49. Question
In the diagram above, JKL is a tangent to the circle GHIK at K.
- 93º
- 55º
- 86º
- 90º
Correct
Incorrect
Question 50 of 50
50. Question
Which of the following points lies on the line 3x - 8y = 11?
- (1, 1)
- (1, -1)
- (-1, 1)
- (-1, -1)
Correct
Incorrect