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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
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105622.00
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105500.00
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105632.00
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Incorrect
Question 2 of 47
2. Question

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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
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17
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20
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23
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Incorrect
Question 4 of 47
4. Question
If √24 + √96 - √600 = y√6, find the value of y
4
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2
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-2
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-4
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Incorrect
Question 5 of 47
5. Question
Evaluate 23 x 54 (mod 7).
2
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3
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5
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6
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Incorrect
Question 6 of 47
6. Question
2
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3
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4
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5
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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%
Correct Incorrect Correct answer

140%
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120%
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40%
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Incorrect
Question 8 of 47
8. Question
Find the 17term of the Arithmetic Progression (A.P):-6,-1,4
-91
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-86
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74
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79
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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 Correct answer

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Question 10 of 47
10. Question
0.51
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0.91
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-0.19
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-0.51
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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
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5000
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4500
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3500
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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.

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Question 13 of 47
13. Question
If 5x + 3y=4 and 5x-3y= 2, what is the value of (25x^2 -9y^2)?
20
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16
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2
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8
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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?
$(2x-8)
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$(2x+8)
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$(2x-2)
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$(2x+2)
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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.
Correct Incorrect Correct answer

If Stephen is not good at Mathematics, then he is not intelligent.
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If Stephen is not intelligent, then he is not good at Mathematics.
Correct Incorrect Correct answer

If Stephen is not good at Mathematics, then he is intelligent.
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Question 16 of 47
16. Question
What value of p will make (x^ $^{2}$ - 4x + p) a perfect square?
-2
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16
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4
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-8
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Correct
Incorrect
Question 17 of 47
17. Question
1/6
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1/4
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-3/2
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-7/6
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Correct
Incorrect
Question 18 of 47
18. Question

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Question 19 of 47
19. Question
An exterior angle of a regular polygon is 22.5°. Find the number of sides.
13
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14
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15
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16
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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
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15.4cm
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17.64cm
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23.10cm
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Question 21 of 47
21. Question
Find the area of the sector OPSQ.
15.40cm^2
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17.64cm^2
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23.10cm^2
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32.34cm^2
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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
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4.521m
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4.792m
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3.962m
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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
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165.0cm^2
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212.0cm^2
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214.5cm^2
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Question 24 of 47
24. Question
In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ.
30cm
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32cm
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35cm
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37cm
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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
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40cm^2
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60cm^2
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80cm^2
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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°
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47°
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19°
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8°
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Incorrect
Question 27 of 47
27. Question
Given that sin (5x-28)° = cos (3x-50)", 0°≤ x ≤ 90°, find the value of x.
39
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32
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21
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14
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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°
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32°
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36°
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18°
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Question 29 of 47
29. Question
Find ∠OSN.
36°
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42°
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54°
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72°
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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
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3/4
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1/8
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1/4
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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
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65
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55
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45
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Incorrect
Question 32 of 47
32. Question
2[1+3m]
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2[1-3m]
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2[1-3m^2]
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2[1+3m^2]
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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°
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80°
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110°
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141°
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Incorrect
Question 34 of 47
34. Question
y < -10
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y < -2
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y < 2
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y < 10
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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
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13
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15
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20
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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
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35.54
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34.45
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36.44
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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
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88.12cm^3
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105.29cm^3
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113.14cm^3
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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
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7cm
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10cm
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15cm
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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
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21.0cm^3
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142cm^3
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154cm^3
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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
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0.65
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0.85
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0.95
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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
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12cm
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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
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4
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6
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8
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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
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-3
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3
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5
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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
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6
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-5
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-6
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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
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3:17
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17:20
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20:30
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Question 46 of 47
46. Question
Given that log_ $_{3}$ 27 = 2x + 1, find the value of x.
0
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1
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2
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3
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Question 47 of 47
47. Question
Solve 6x^ $^{2}$ = 5x - 1.
x = 2,3
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x = 0,3
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x = 1/2, 1/3
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x = 1/2, −1/3
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Correct
Incorrect

Math Waec 2022

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