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Civil and Mechanical

w maths 16

Written by Admin November 11, 2025November 11, 2025

Mathematics Waec 2016

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Question 1 of 48

1. Question

A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ

3/5
Correct Incorrect Correct answer

2/3
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3/2
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5/3
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Correct

Incorrect
Question 2 of 48

2. Question

A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r

2/3
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2
Correct Incorrect Correct answer

3
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6
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Correct

Incorrect
Question 3 of 48

3. Question

From the diagram, which of the following is true?

m + n + p = 180°
Correct Incorrect Correct answer

m + n = 180°
Correct Incorrect Correct answer

m = p + n
Correct Incorrect Correct answer

n = m + p
Correct Incorrect Correct answer

Correct

Incorrect
Question 4 of 48

4. Question

If , find the value of x.

7
Correct Incorrect Correct answer

6
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5
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4
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Correct

Incorrect
Question 5 of 48

5. Question

A straight line passes through the point P(1,2) and Q(5,8). Calculate the length PQ.

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct

Incorrect
Question 6 of 48

6. Question

Express 1975 correct to 2 significant figures

20
Correct Incorrect Correct answer

1,900
Correct Incorrect Correct answer

1,980
Correct Incorrect Correct answer

2,000
Correct Incorrect Correct answer

Correct

Incorrect
Question 7 of 48

7. Question

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

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Correct

Incorrect
Question 8 of 48

8. Question

If cos $θ$ = x and sin 60^o = x + 0.5 0^o < $θ$ < 90^o, find, correct to the nearest degree, the value of $θ$

32°
Correct Incorrect Correct answer

40°
Correct Incorrect Correct answer

60°
Correct Incorrect Correct answer

69°
Correct Incorrect Correct answer

Correct

Incorrect
Question 9 of 48

9. Question

The diagram, MOPQ is a trapezium with QP||MO, MQ||NP, NQ||OP, |QP| = 9cm and the height of $Δ$ QNP = 6cm, calculate the area of the trapezium.

96cm^2
Correct Incorrect Correct answer

90cm^2
Correct Incorrect Correct answer

81cm^2
Correct Incorrect Correct answer

27cm^2
Correct Incorrect Correct answer

Correct

Incorrect
Question 10 of 48

10. Question

75.00
Correct Incorrect Correct answer

15.00
Correct Incorrect Correct answer

8.66
Correct Incorrect Correct answer

3.87
Correct Incorrect Correct answer

Correct

Incorrect
Question 11 of 48

11. Question

The table shows the ages of students in a club. How many students are in the club?

50
Correct Incorrect Correct answer

55
Correct Incorrect Correct answer

60
Correct Incorrect Correct answer

65
Correct Incorrect Correct answer

Correct

Incorrect
Question 12 of 48

12. Question

The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take $π = \frac{22}{7}$ ]

70°
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60°
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55°
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42°
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Correct

Incorrect
Question 13 of 48

13. Question

The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45cm in 3 seconds, how far will it fall in 6 seconds?

90cm
Correct Incorrect Correct answer

135cm
Correct Incorrect Correct answer

180cm
Correct Incorrect Correct answer

225cm
Correct Incorrect Correct answer

Correct

Incorrect
Question 14 of 48

14. Question

Find the median age.

13
Correct Incorrect Correct answer

14
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15
Correct Incorrect Correct answer

16
Correct Incorrect Correct answer

Correct

Incorrect
Question 15 of 48

15. Question

Examine M' $\cap$ N from the venn diagram

{f, g}
Correct Incorrect Correct answer

{e}
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{e, f, g}
Correct Incorrect Correct answer

{e, f, g}
Correct Incorrect Correct answer

Correct

Incorrect
Question 16 of 48

16. Question

Which of following is a valid conclusion from the premise. "Nigeria footballers are good footballers"?

Joseph plays football in Nigeria therefore he is a good footballer
Correct Incorrect Correct answer

Joseph is a good footballer therefore he is a Nigerian footballer
Correct Incorrect Correct answer

Joseph is a Nigerian footballer therefore he is a good footballer
Correct Incorrect Correct answer

Joseph plays good football therefore he is a Nigerian footballer
Correct Incorrect Correct answer

Correct

Incorrect
Question 17 of 48

17. Question

In the diagram, YW¯ is a tangent to the circle at X, |UV| = |VX| and < VXW = 50º. Find the value of < UXY.

70°
Correct Incorrect Correct answer

80°
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105°
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110°
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Correct

Incorrect
Question 18 of 48

18. Question

If 20(mod 9) is equivalent to y(mod 6), find y.

1
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2
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3
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4
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Question 19 of 48

19. Question

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Question 20 of 48

20. Question

In the diagram, PF¯, QT¯, RG¯ intersect at S and PG||RG. If < SPQ = 113º and < RSt = 22º, find < PSQ.

22
Correct Incorrect Correct answer

45
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67
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89
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Correct

Incorrect
Question 21 of 48

21. Question

1/2
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p-2r
Correct Incorrect Correct answer

Correct Incorrect Correct answer

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Correct

Incorrect
Question 22 of 48

22. Question

What sum of money will amount to D10,400 in 5 years at 6% simple interest?

D8,000.00
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D12,000.00
Correct Incorrect Correct answer

D16,000.00
Correct Incorrect Correct answer

D10,000.00
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Correct

Incorrect
Question 23 of 48

23. Question

In the diagram, O is the centre of the circle, < XOZ = (10cm)° and < XWZ = m°. Calculate the value of m.

30
Correct Incorrect Correct answer

36
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40
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72
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Correct

Incorrect
Question 24 of 48

24. Question

In the diagram, O is the centre of the circle, < QPS = 100^o, < PSQ = 60^o and < QSR. Calculate < SQR.

20
Correct Incorrect Correct answer

40
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60
Correct Incorrect Correct answer

80
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Correct

Incorrect
Question 25 of 48

25. Question

The roots of a quadratic equation are $\frac{4}{3}$ and - $\frac{3}{7}$ . Find the equation.

21x^2 - 19x - 12 = 0
Correct Incorrect Correct answer

21x^2 + 37x - 12 = 0
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21x^2 - x + 12 = 0
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21x^2 + 7x - 4 = 0
Correct Incorrect Correct answer

Correct

Incorrect
Question 26 of 48

26. Question

Kweku walked 8m up to slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be?

4.5m
Correct Incorrect Correct answer

6.0m
Correct Incorrect Correct answer

7.5m
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9.0m
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Correct

Incorrect
Question 27 of 48

27. Question

A bag contains 5 red and 4 blue identical balls. Id two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second is blue

2/9
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5/18
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20/81
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5/9
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Correct

Incorrect
Question 28 of 48

28. Question

Find the values of y for which the expression is undefined

6, -7
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3, -6
Correct Incorrect Correct answer

3, -7
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-3, -7
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Correct

Incorrect
Question 29 of 48

29. Question

In the diagram, TS is a tangent to the circle at S. |PR| and < PQR = 177°. Calculate < PST.

54°
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44°
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34°
Correct Incorrect Correct answer

27°
Correct Incorrect Correct answer

Correct

Incorrect
Question 30 of 48

30. Question

The relation y = x^2 + 2x + k passes through the point (2,0). Find the value of k

-8
Correct Incorrect Correct answer

-4
Correct Incorrect Correct answer

4
Correct Incorrect Correct answer

8
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Correct

Incorrect
Question 31 of 48

31. Question

Given that 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?

1
Correct Incorrect Correct answer

3
Correct Incorrect Correct answer

7
Correct Incorrect Correct answer

17
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Correct

Incorrect
Question 32 of 48

32. Question

In the diagram, PR||SV||WY|, TX||QY|, < PQT = 48o and < TXW = 60o.Find < TQU.

120°
Correct Incorrect Correct answer

108°
Correct Incorrect Correct answer

72°
Correct Incorrect Correct answer

60°
Correct Incorrect Correct answer

Correct

Incorrect
Question 33 of 48

33. Question

Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8...

13, 19, 23
Correct Incorrect Correct answer

9, 11, 13
Correct Incorrect Correct answer

11, 15, 19
Correct Incorrect Correct answer

13, 21, 34
Correct Incorrect Correct answer

Correct

Incorrect
Question 34 of 48

34. Question

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct

Incorrect
Question 35 of 48

35. Question

In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX| = √3cm. Find UTW.

135°
Correct Incorrect Correct answer

105°
Correct Incorrect Correct answer

75°
Correct Incorrect Correct answer

60°
Correct Incorrect Correct answer

Correct

Incorrect
Question 36 of 48

36. Question

Find the lower quartile of the distribution illustrated by the cumulative frequency curve

17.5
Correct Incorrect Correct answer

19.0
Correct Incorrect Correct answer

27.5
Correct Incorrect Correct answer

28.0
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Correct

Incorrect
Question 37 of 48

37. Question

Make s the subject of the relation:

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Incorrect
Question 38 of 48

38. Question

The figure is a pie chart which represents the expenditure of a family in a year. If the total income of the family was Le 10,800,000.00, how much was spent on food?

Le 2,250,000.00
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Le 22,700,000.00
Correct Incorrect Correct answer

Le 3,600,000.00
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Le 4,500,000.00
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Correct

Incorrect
Question 39 of 48

39. Question

The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?

30
Correct Incorrect Correct answer

24
Correct Incorrect Correct answer

18
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12
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Correct

Incorrect
Question 40 of 48

40. Question

(3x - y)(x + 7y)
Correct Incorrect Correct answer

(3x + y)(2x - 7y)
Correct Incorrect Correct answer

(3x + y)(x - 7y)
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(3x - y)(2x + 7y)
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Correct

Incorrect
Question 41 of 48

41. Question

A fair die is thrown two times. What is the probability that the sum of the scores is at least 10?

5/36
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1/6
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5/18
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2/3
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Correct

Incorrect
Question 42 of 48

42. Question

Halima is n years old. Her brother's age is 5 years more than half of her age. How old is her brother?

Correct Incorrect Correct answer

Correct Incorrect Correct answer

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Correct

Incorrect
Question 43 of 48

43. Question

The curve surface area of a cylinder, 5cm high is 110cm ². Find the radius of its base. [Take $π = \frac{22}{7}$ ]

2.6cm
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3.5cm
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3.6cm
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7.0cm
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Correct

Incorrect
Question 44 of 48

44. Question

The marks of eight students in a test are: 3, 10, 4, 5, 14, 13, 16 and 7. Find the range

16
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14
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13
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11
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Correct

Incorrect
Question 45 of 48

45. Question

In the diagram MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140°, find, correct to the nearest cm, the length of the chord MN.

19
Correct Incorrect Correct answer

18
Correct Incorrect Correct answer

17
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12
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Correct

Incorrect
Question 46 of 48

46. Question

The volume of a pyramid with height 15cm is 90cm³. If its base is a rectangle with dimension xcm by 6cm, find the value of x.

3
Correct Incorrect Correct answer

5
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6
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8
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Correct

Incorrect
Question 47 of 48

47. Question

2.00
Correct Incorrect Correct answer

3.67
Correct Incorrect Correct answer

8.67
Correct Incorrect Correct answer

11
Correct Incorrect Correct answer

Correct

Incorrect
Question 48 of 48

48. Question

An object is 6m away from the base of a mast. If the angle of depression of the object from the top of the mast is 50o, find, correct to 2 decimal places, the height of the mast.

8.60m
Correct Incorrect Correct answer

7.83m
Correct Incorrect Correct answer

7.51m
Correct Incorrect Correct answer

7.15m
Correct Incorrect Correct answer

Correct

Incorrect

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