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Math Waec 2022

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Question 1 of 47
1. Question
Evaluate, correct to four significant figures, (573.06 x 184.25).
- 105600.00
- 105622.00
- 105500.00
- 105632.00
Correct
Incorrect
Question 2 of 47
2. Question
Correct
Incorrect
Question 3 of 47
3. Question
Given that A and B are sets such that n(A) = 8, n(B)=12 and n(AnB) =3, find n(AuB).
- 15
- 17
- 20
- 23
Correct
Incorrect
Question 4 of 47
4. Question
If √24 + √96 - √600 = y√6, find the value of y
- 4
- 2
- -2
- -4
Correct
Incorrect
Question 5 of 47
5. Question
Evaluate 23 x 54 (mod 7).
- 2
- 3
- 5
- 6
Correct
Incorrect
Question 6 of 47
6. Question
- 2
- 3
- 4
- 5
Correct
Incorrect
Question 7 of 47
7. Question
A weaver bought a bundle of grass for $ 50.00 from which he made 8 mats. If each mat was sold for $ 15.00, find the percentage profit.
- 240%
- 140%
- 120%
- 40%
Correct
Incorrect
Question 8 of 47
8. Question
Find the 17term of the Arithmetic Progression (A.P):-6,-1,4
- -91
- -86
- 74
- 79
Correct
Incorrect
Question 9 of 47
9. Question
M varies directly as n and inversely as the square of p. If M= 3 when n = 2 and p = 1, find M in terms of n and p.
Correct
Incorrect
Question 10 of 47
10. Question
- 0.51
- 0.91
- -0.19
- -0.51
Correct
Incorrect
Question 11 of 47
11. Question
Three boys shared D 10,500.00 in the ratio 6:7:8. Find the largest share.
- 4000
- 5000
- 4500
- 3500
Correct
Incorrect
Question 12 of 47
12. Question
The length of a piece of stick is 1.75 m. A boy measured it as 1.80 m. Find the percentage error.
Correct
Incorrect
Question 13 of 47
13. Question
If 5x + 3y=4 and 5x-3y= 2, what is the value of (25x^2 -9y^2)?
- 20
- 16
- 2
- 8
Correct
Incorrect
Question 14 of 47
14. Question
Mary has $ 3.00 more than Ben but $ 5.00 less than Jane. If Mary has $ x, how much does Jane and Ben have altogether?
- $(2x-8)
- $(2x+8)
- $(2x-2)
- $(2x+2)
Correct
Incorrect
Question 15 of 47
15. Question
Consider the statements:
p: Stephen is intelligent
q: Stephen is good at Mathematics
If p⇒q, which of the following is a valid conclusion?
- If Stephen is good at Mathematics, then he is intelligent.
- If Stephen is not good at Mathematics, then he is not intelligent.
- If Stephen is not intelligent, then he is not good at Mathematics.
- If Stephen is not good at Mathematics, then he is intelligent.
Correct
Incorrect
Question 16 of 47
16. Question
What value of p will make (x^ $^{2}$ - 4x + p) a perfect square?
- -2
- 16
- 4
- -8
Correct
Incorrect
Question 17 of 47
17. Question
- 1/6
- 1/4
- -3/2
- -7/6
Correct
Incorrect
Question 18 of 47
18. Question
Correct
Incorrect
Question 19 of 47
19. Question
An exterior angle of a regular polygon is 22.5°. Find the number of sides.
- 13
- 14
- 15
- 16
Correct
Incorrect
Question 20 of 47
20. Question
In the diagram, ∠POQ = 150 and the radius of the circle PSQR is 4.2cm. [take π = 22/7]
What is the length of the minor arc?
- 11cm
- 15.4cm
- 17.64cm
- 23.10cm
Correct
Incorrect
Question 21 of 47
21. Question
Find the area of the sector OPSQ.
- 15.40cm^2
- 17.64cm^2
- 23.10cm^2
- 32.34cm^2
Correct
Incorrect
Question 22 of 47
22. Question
A ladder 6m long leans against a vertical wall at an angle 53º to the horizontal. How high up the wall does the ladder reach?
- 3.611m
- 4.521m
- 4.792m
- 3.962m
Correct
Incorrect
Question 23 of 47
23. Question
A cylinder, opened at one end, has a radius of 3.5cm and height 8cm. calculate the total surface area.
- 126.5cm^2
- 165.0cm^2
- 212.0cm^2
- 214.5cm^2
Correct
Incorrect
Question 24 of 47
24. Question
In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ.
- 30cm
- 32cm
- 35cm
- 37cm
Correct
Incorrect
Question 25 of 47
25. Question
The length of a rectangle is 10 cm. If its perimeter is 28 cm, find the area.
- 30cm^2
- 40cm^2
- 60cm^2
- 80cm^2
Correct
Incorrect
Question 26 of 47
26. Question
A boy 1.4 m tall, stood 10m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes.
- 70°
- 47°
- 19°
- 8°
Correct
Incorrect
Question 27 of 47
27. Question
Given that sin (5x-28)° = cos (3x-50)", 0°≤ x ≤ 90°, find the value of x.
- 39
- 32
- 21
- 14
Correct
Incorrect
Question 28 of 47
28. Question
In the diagram, MNR is a tangent to the circle centre O at N and ∠NOS = 108°. Find ∠OSN.
- 72°
- 32°
- 36°
- 18°
Correct
Incorrect
Question 29 of 47
29. Question
Find ∠OSN.
- 36°
- 42°
- 54°
- 72°
Correct
Incorrect
Question 30 of 47
30. Question
Mrs Gabriel is pregnant. The probability that she will give birth to a girl is 1/2 and with blue eyes is 1/4. What is the probability that she will give birth to a girl with blue eyes?
- 1
- 3/4
- 1/8
- 1/4
Correct
Incorrect
Question 31 of 47
31. Question
The mean of a set of 10 numbers is 56. If the mean of the first nine numbers is 55, find the 10th number.
- 75
- 65
- 55
- 45
Correct
Incorrect
Question 32 of 47
32. Question
- 2[1+3m]
- 2[1-3m]
- 2[1-3m^2]
- 2[1+3m^2]
Correct
Incorrect
Question 33 of 47
33. Question
In the diagram, triangle MNR is inscribed in circle MNR, and line PQ is a straight line. ∠MRN = 41° and ∠PMR= 141°, find ∠QNR.
- 39°
- 80°
- 110°
- 141°
Correct
Incorrect
Question 34 of 47
34. Question
- y < -10
- y < -2
- y < 2
- y < 10
Correct
Incorrect
Question 35 of 47
35. Question
The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.
Find the lower quartile.
- 12
- 13
- 15
- 20
Correct
Incorrect
Question 36 of 47
36. Question
The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.
Find the mean.
- 33.35
- 35.54
- 34.45
- 36.44
Correct
Incorrect
Question 37 of 47
37. Question
Find the correct to two decimal places, the volume of a sphere whose radius is 3cm. [Take π = $\frac{22}{7}$ ]
- 72.57cm^3
- 88.12cm^3
- 105.29cm^3
- 113.14cm^3
Correct
Incorrect
Question 38 of 47
38. Question
The lengths of the parallel sides of a trapezium are 9cm and 12cm. If the area of the trapezium is 105cm^ $^{2}$ , find the perpendicular distance between the parallel sides.
- 5cm
- 7cm
- 10cm
- 15cm
Correct
Incorrect
Question 39 of 47
39. Question
Find the volume of a cone of radius 3.5cm and vertical height 12cm. [Take π = 22/7]v
- 15.5cm^3
- 21.0cm^3
- 142cm^3
- 154cm^3
Correct
Incorrect
Question 40 of 47
40. Question
A local community has two newspapers: the morning tomes and the evening dispatch. The morning times is read by 45% of the households. The Evening Dispatch is read by 60% of the households. Twenty percent of the households read both papers. What is the probability that a particular household reads at least one paper?
- 0.45
- 0.65
- 0.85
- 0.95
Correct
Incorrect
Question 41 of 47
41. Question
A rectangle with width $\frac{3}{4}$ cm and area 27/ $\frac{3}{8}$ cm^ $^{2}$ . Find the length.
- 6cm
- 12cm
Correct
Incorrect
Question 42 of 47
42. Question
The mean of two numbers x and y is 4. Find the mean of four numbers x, 2x, y and 2y.
- 2
- 4
- 6
- 8
Correct
Incorrect
Question 43 of 47
43. Question
The straight line y = mx - 4 passes through the point(-4,16). Calculate the gradient of the line.
- -5
- -3
- 3
- 5
Correct
Incorrect
Question 44 of 47
44. Question
If the equations x^ $^{2}$ - 5x + 6 = 0 and x^ $^{2}$ + px + 6 = 0 have the same roots, find the value of p.
- 5
- 6
- -5
- -6
Correct
Incorrect
Question 45 of 47
45. Question
A trader made a loss of 15% when an article was sold. Find the ratio of the selling price : cost price.
- 3:20
- 3:17
- 17:20
- 20:30
Correct
Incorrect
Question 46 of 47
46. Question
Given that log_ $_{3}$ 27 = 2x + 1, find the value of x.
- 0
- 1
- 2
- 3
Correct
Incorrect
Question 47 of 47
47. Question
Solve 6x^ $^{2}$ = 5x - 1.
- x = 2,3
- x = 0,3
- x = 1/2, 1/3
- x = 1/2, −1/3
Correct
Incorrect