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Civil and Mechanical

w maths 18

Written by Admin December 3, 2025December 3, 2025

Maths Waec 2018

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Question 1 of 50

1. Question

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Question 2 of 50

2. Question

121
Correct Incorrect Correct answer

144
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169
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196
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Correct

Incorrect
Question 3 of 50

3. Question

Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.

Correct Incorrect Correct answer

Correct Incorrect Correct answer

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Correct

Incorrect
Question 4 of 50

4. Question

Find the value of x for which

three
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five
Correct Incorrect Correct answer

six
Correct Incorrect Correct answer

seven
Correct Incorrect Correct answer

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Incorrect
Question 5 of 50

5. Question

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

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Question 6 of 50

6. Question

There are 250 boys and 150 girls in a school, if 60% of the boys and 40% of the girls play football, what percentage of the school play football?

40.0%
Correct Incorrect Correct answer

42.2%
Correct Incorrect Correct answer

50.0%
Correct Incorrect Correct answer

52.5%
Correct Incorrect Correct answer

Correct

Incorrect
Question 7 of 50

7. Question

2
Correct Incorrect Correct answer

3
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4
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5
Correct Incorrect Correct answer

Correct

Incorrect
Question 8 of 50

8. Question

If F = $\frac{9}{5}$ C/5 + 32, find C when F = 98.6.

30
Correct Incorrect Correct answer

37
Correct Incorrect Correct answer

39
Correct Incorrect Correct answer

41
Correct Incorrect Correct answer

Correct

Incorrect
Question 9 of 50

9. Question

If y + 2x = 4 and y - 3x = -1, find the value of (x + y).

3
Correct Incorrect Correct answer

2
Correct Incorrect Correct answer

1
Correct Incorrect Correct answer

-1
Correct Incorrect Correct answer

Correct

Incorrect
Question 10 of 50

10. Question

1.5
Correct Incorrect Correct answer

2
Correct Incorrect Correct answer

2.5
Correct Incorrect Correct answer

3
Correct Incorrect Correct answer

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Incorrect
Question 11 of 50

11. Question

2(1+3m)
Correct Incorrect Correct answer

2(1+3m^2)
Correct Incorrect Correct answer

2(1−3m)
Correct Incorrect Correct answer

2(1−3m^2)
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Incorrect
Question 12 of 50

12. Question

A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.

y = x^2−5x−6
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y = x^2+5x−6
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y = x^2+x−6
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y = x^2−x−6
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Correct

Incorrect
Question 13 of 50

13. Question

The volume of a cylindrical tank, 10m high is 385 m^2. Find the diameter of the tank. [Take $π = \frac{22}{7}$ ]

14m
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10m
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7m
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5m
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Question 14 of 50

14. Question
The surface area of a sphere is $\frac{792}{7} c m^{2}$ . Find, correct to the nearest whole number, its volume. [Take $π = \frac{22}{7}$ ]
- A. 113 $c m^{3}$
- B. 131 $c m^{3}$
- C. 311 $c m^{3}$
- D. 414 $c m^{3}$
113cm^3
Correct Incorrect Correct answer

131cm^3
Correct Incorrect Correct answer

311cm^3
Correct Incorrect Correct answer

414cm^3
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Correct

Incorrect
Question 15 of 50

15. Question

The angles of a polygon are x, 2x, 2x, (x + $30^{o}$ ), (x + $20^{o}$ ) and (x - $10^{o}$ ). Find the value of x.

45°
Correct Incorrect Correct answer

95°
Correct Incorrect Correct answer

84°
Correct Incorrect Correct answer

85°
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Correct

Incorrect
Question 16 of 50

16. Question

If M and N are the points (-3, 8) and (5, -7) respectively, find |MN|.

8 units
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11 units
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15 units
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17 units
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Question 17 of 50

17. Question

The equation of the line through the points (4,2) and (-8, -2) is 3y = px + q, where p and q are constants. Find the value of p.

1
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2
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3
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9
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Correct

Incorrect
Question 18 of 50

18. Question

The mean of 1, 3, 5, 7 and x is 4. Find the value of x.

2
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4
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6
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8
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Correct

Incorrect
Question 19 of 50

19. Question

The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at randon scored either 4 or 7 goals.

9/25
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1/5
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6/25
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2/5
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Correct

Incorrect
Question 20 of 50

20. Question

The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at random scored at most 3 goals.

3/25
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1/5
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6/25
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2/5
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Correct

Incorrect
Question 21 of 50

21. Question

The total surface area of a hemispher is 75 $π c m^{2}$ . Find the radius.

5.0 cm
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7.0 cm
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8.5 cm
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12.0 cm
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Correct

Incorrect
Question 22 of 50

22. Question

Find the value of x for which ( $\frac{x - 5}{x (x - 1)}$ is undefined.

0 or 5
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-5 or 5
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-11 or 5
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0 or 1
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Question 23 of 50

23. Question

Solved the equation $2 x^{2} - x - 6$ = 0.

x = −3/2 or 2
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x = -2 or 3/2
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x = -3 or 2
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x = 3 or -2
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Incorrect
Question 24 of 50

24. Question

Factorise completely the expression

$(x + 2)^{2}$ - $(2 x + 1)^{2}$

(3x + 2)(1 - x)
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(3x + 2)(2x + 1)
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3(x+2)^2
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3(x + 1)(1 - x)
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Question 25 of 50

25. Question

Find the $n^{t h}$ term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12...

(2^n) x 3(n + 1)
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(2^n) x 3n
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(2^n) x (3^n)
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(2^n) x (3^n) -1
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Question 26 of 50

26. Question

3x $\equiv$ 4(mod 5)

1
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2
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3
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4
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Correct

Incorrect
Question 27 of 50

27. Question

Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16

6
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7
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8
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9
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Incorrect
Question 28 of 50

28. Question

If x : y = $\frac{1}{4} : \frac{3}{8}$ and y : z = $\frac{1}{3} : \frac{4}{9}$ , find x : z

2:3
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3:4
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3:8
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1:2
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Question 29 of 50

29. Question

Expression 0.612 in the form $\frac{x}{y}$ , where x and y are integers and y $\neq$ 0.

153/250
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68/111
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61/100
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21/33
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Correct

Incorrect
Question 30 of 50

30. Question

The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot of the tree is 30°. Find the height of the tree.

27m
Correct Incorrect Correct answer

13.5 √3 m
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13.5 √2 m
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9 √3 m
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Correct

Incorrect
Question 31 of 50

31. Question

In the diagram, which of the following ratios is equal to $\frac{| P N |}{| P Q |}$ $\frac{| P N |}{| P Q |}$ ?

|PN|/|PR|
Correct Incorrect Correct answer

|PM|/|PQ|
Correct Incorrect Correct answer

|PM|/|PR|
Correct Incorrect Correct answer

|PR|/|PQ|
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Incorrect
Question 32 of 50

32. Question

If P and Q are two statements, under what condition would p|q be false?

If p is true and q is true
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If p is true and q is false
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If p is false and q is false
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If p is false and q is true
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Incorrect
Question 33 of 50

33. Question

Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2

0.0
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0.5
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1.0
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1.5
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Correct

Incorrect
Question 34 of 50

34. Question

Find the mean deviation of 20, 30, 25, 40, 35, 50, 45, 40, 20 and 45

8
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9
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10
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12
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Correct

Incorrect
Question 35 of 50

35. Question

Find the value of t in the diagram.

63°
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117°
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126°
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234°
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Incorrect
Question 36 of 50

36. Question

In the diagram, PR is a tangent to the circle at Q, QT//RS, < SQR = 35º and < RSQ = 50º. Find the value of <QST

40°
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65°
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85°
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95°
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Correct

Incorrect
Question 37 of 50

37. Question

In the diagram, WXYZ is a rectangle with dimension 8cm by 6cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. Using this information, what type of quadrilateral is the shaded region?

Trapezium
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Prism
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Rectangle
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Rhombus
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Question 38 of 50

38. Question

In the diagram, PS and RS are tangents to the circle centre O. ∠PSR = 70°, ∠POR = m, and ∠PSR =n. Find ( m + n ).

110°
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135°
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165°
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225°
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Incorrect
Question 39 of 50

39. Question

In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R and S are the midpoints of the rectangle as shown. Using this information calculate the area of the part of the rectangle that is not shaded

25cm^2
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24cm^2
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16cm^2
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12cm^2
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Question 40 of 50

40. Question

The solution of x + 2 $\geq$ 2x + 1 is illustrated.

i
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ii
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iii
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iv
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Question 41 of 50

41. Question

The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ and |WX| = |XY| = |YZ|, calculate the value of m

90°
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60°
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45°
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30°
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Correct

Incorrect
Question 42 of 50

42. Question

In the diagram, PQ//RS. Find x in terms of y and z.

x = 240° - y - z
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x = 180° - y - z
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x = 360° + y -z
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x = 360° - y - z
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Question 43 of 50

43. Question

In the diagram, PQ is a straight line, (m + n) = 110° and (n + r) = 130° and (m + r) = 120°. Find the ratio of m : n : r.

2 : 3 : 4
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3 : 4 : 5
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4 : 5 : 6
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5 : 6 : 7
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Correct

Incorrect
Question 44 of 50

44. Question

Donations during the launching of a church project were sent in sealed envlopes. The table shows the distribution of the amount of money in the envelope. How much was the donation?

N26,792.00
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N26,972.00
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N62.792.00
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N62,972.00
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Correct

Incorrect
Question 45 of 50

45. Question

A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector. [Take $π = \frac{22}{7}$ ]

170°
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177°
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182°
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192°
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Correct

Incorrect
Question 46 of 50

46. Question

If tan x = $\frac{4}{3}$ , 0° < x < 90°, find the value of sin x - cos x.

1/10
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1/5
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5/12
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1 (2/5)
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Correct

Incorrect
Question 47 of 50

47. Question

Given that Y is 20cm on a bearing of 300° from x, how far south of y is x?

10cm
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15cm
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25cm
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30cm
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Correct

Incorrect
Question 48 of 50

48. Question

The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5cm and |MX| = 12cm, calculate its perimeter.

42cm
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48cm
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52cm
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60cm
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Correct

Incorrect
Question 49 of 50

49. Question

M and N are two subsets of the universal set (U). If n(U) = 48, n(M) = 20, n(N) = 30 and n(MUN) = 40, find n(M $\cap$ N)

18
Correct Incorrect Correct answer

20
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30
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38
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Correct

Incorrect
Question 50 of 50

50. Question

The graph of y = x^2 and y = x intersect at which of these points?

(0,0), (1,1)
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(0,0), (0,1)
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(1, 0), (0, 0)
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(0, 0) (0, 0)
Correct Incorrect Correct answer

Correct

Incorrect

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