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w maths 17

Written by Admin December 3, 2025December 3, 2025

Maths Waec 2017

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Question 1 of 49

1. Question

If the total surface area of a solid hemisphere is equal to its volume, find the radius

3.0cm
Correct Incorrect Correct answer

4.5cm
Correct Incorrect Correct answer

5.0cm
Correct Incorrect Correct answer

9.0cm
Correct Incorrect Correct answer

Correct

Incorrect
Question 2 of 49

2. Question

Two bottles are drawn with replacement from a crate containing 8 Coke, 12 Fanta, and 4 Sprite bottles. What is the probability that the first is coke and the second is not coke?

1/12
Correct Incorrect Correct answer

1/6
Correct Incorrect Correct answer

2/9
Correct Incorrect Correct answer

3/8
Correct Incorrect Correct answer

Correct

Incorrect
Question 3 of 49

3. Question

The graph of y = $a x^{2} + b x + c$ is shown oon the diagram. Find the minimum value of y

-2.0
Correct Incorrect Correct answer

-2.1
Correct Incorrect Correct answer

-2.3
Correct Incorrect Correct answer

-2.5
Correct Incorrect Correct answer

Correct

Incorrect
Question 4 of 49

4. Question

Express 0.0000407, correct to 2 significant figures

0.0
Correct Incorrect Correct answer

0.00004
Correct Incorrect Correct answer

0.000041
Correct Incorrect Correct answer

0.0000407
Correct Incorrect Correct answer

Correct

Incorrect
Question 5 of 49

5. Question

Which of the following is true about parallelogram?

opposite angles are supplementary
Correct Incorrect Correct answer

opposite angles are complementary
Correct Incorrect Correct answer

opposite angles are equal
Correct Incorrect Correct answer

opposite angles are reflex angles
Correct Incorrect Correct answer

Correct

Incorrect
Question 6 of 49

6. Question

If the simple interest on a certain amount of money saved in a bank for 5 years at 2.5% annum is N500.00, calculate the total amount due after 6 years at the same rate.

N2,500.00
Correct Incorrect Correct answer

N2,600.00
Correct Incorrect Correct answer

N4,500.00
Correct Incorrect Correct answer

N4,600.00
Correct Incorrect Correct answer

Correct

Incorrect
Question 7 of 49

7. Question

In the diagram, RPS is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24 $^{o}$ , calculate the value of < STR.

24°
Correct Incorrect Correct answer

42°
Correct Incorrect Correct answer

48°
Correct Incorrect Correct answer

66°
Correct Incorrect Correct answer

Correct

Incorrect
Question 8 of 49

8. Question

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

x α z
Correct Incorrect Correct answer

x α 1/z
Correct Incorrect Correct answer

a α z^2
Correct Incorrect Correct answer

x α 1/z^2
Correct Incorrect Correct answer

Correct

Incorrect
Question 9 of 49

9. Question

Calculate the gradient (slope) of the joining points (-1, 1) and (2, -2)

-1
Correct Incorrect Correct answer

-1/2
Correct Incorrect Correct answer

1/2
Correct Incorrect Correct answer

1
Correct Incorrect Correct answer

Correct

Incorrect
Question 10 of 49

10. Question

Calculate the variance of 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9

2.2
Correct Incorrect Correct answer

3.4
Correct Incorrect Correct answer

4.0
Correct Incorrect Correct answer

4.2
Correct Incorrect Correct answer

Correct

Incorrect
Question 11 of 49

11. Question

14/15
Correct Incorrect Correct answer

13/15
Correct Incorrect Correct answer

4/5
Correct Incorrect Correct answer

11/15
Correct Incorrect Correct answer

Correct

Incorrect
Question 12 of 49

12. Question

If P(2,3) and Q)2, 5) are points on a graph, calculate the length PQ

6 units
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5 units
Correct Incorrect Correct answer

4 units
Correct Incorrect Correct answer

2 units
Correct Incorrect Correct answer

Correct

Incorrect
Question 13 of 49

13. Question

A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path. [Take $\frac{22}{7}$ ]

7.83m^2
Correct Incorrect Correct answer

32.29m^2
Correct Incorrect Correct answer

50.29m^2
Correct Incorrect Correct answer

82.50m^2
Correct Incorrect Correct answer

Correct

Incorrect
Question 14 of 49

14. Question

The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola's age to Musa's age is 4:5, what is the ratio of Tunde's age to Musa's age?

1:4
Correct Incorrect Correct answer

1:5
Correct Incorrect Correct answer

2:5
Correct Incorrect Correct answer

5:2
Correct Incorrect Correct answer

Correct

Incorrect
Question 15 of 49

15. Question

A bearing of 320 $^{o}$ expressed as a compass bearing is

N 50° W
Correct Incorrect Correct answer

N 40° W
Correct Incorrect Correct answer

N 50° E
Correct Incorrect Correct answer

N 40° E
Correct Incorrect Correct answer

Correct

Incorrect
Question 16 of 49

16. Question

Fig. 1 and Fig. 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to solve the equation (n $\oplus 4$ )

1
Correct Incorrect Correct answer

2
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3
Correct Incorrect Correct answer

4
Correct Incorrect Correct answer

Correct

Incorrect
Question 17 of 49

17. Question

If M = {x : 3 $\leq$ x < 8} and N = {x : 8 < x $\leq$ 12}, which of the following is true?

i. 8 $\in$ M $\cap$ N

ii. 8 $\in$ M $\cup$ N

iii. M $\cap$ N = $\emptyset$

iii only
Correct Incorrect Correct answer

i and ii
Correct Incorrect Correct answer

ii and iii only
Correct Incorrect Correct answer

i, ii and iii
Correct Incorrect Correct answer

Correct

Incorrect
Question 18 of 49

18. Question

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct

Incorrect
Question 19 of 49

19. Question

The diagram shows a circle centre O. if <STR = 29º and < RST = 46º, Calculate the value of <STO.

12°
Correct Incorrect Correct answer

15°
Correct Incorrect Correct answer

29°
Correct Incorrect Correct answer

34°
Correct Incorrect Correct answer

Correct

Incorrect
Question 20 of 49

20. Question

Given that a = log 7 and b = $\log$ 2, express log 35 in terms of a and b.

a + b + 1
Correct Incorrect Correct answer

ab - 1
Correct Incorrect Correct answer

a - b + 1
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b - a + 1
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Correct

Incorrect
Question 21 of 49

21. Question

The average age of a group of 25 girls is 10year. If one girl, aged 12 years and 4 months joins the group, find the new average age of the group.

10.1 years
Correct Incorrect Correct answer

9.3 years
Correct Incorrect Correct answer

8.7 years
Correct Incorrect Correct answer

8.3 years
Correct Incorrect Correct answer

Correct

Incorrect
Question 22 of 49

22. Question

In the diagram, XY is a straight line. <POX = <POQ and <ROY = <QOR. Find the value of <POQ + <ROY.

60°
Correct Incorrect Correct answer

90°
Correct Incorrect Correct answer

100°
Correct Incorrect Correct answer

120°
Correct Incorrect Correct answer

Correct

Incorrect
Question 23 of 49

23. Question

If x = $\frac{2}{3}$ and y = - 6, evaluate xy - $\frac{y}{x}$

0
Correct Incorrect Correct answer

5
Correct Incorrect Correct answer

8
Correct Incorrect Correct answer

9
Correct Incorrect Correct answer

Correct

Incorrect
Question 24 of 49

24. Question

In what number base was the addition 1 + nn = 100, where n > 0, done?

n-1
Correct Incorrect Correct answer

n+1
Correct Incorrect Correct answer

n
Correct Incorrect Correct answer

n+2
Correct Incorrect Correct answer

Correct

Incorrect
Question 25 of 49

25. Question

The diagram shows a circle O. If < ZYW = 33 $^{o}$ , find < ZWX

33°
Correct Incorrect Correct answer

57°
Correct Incorrect Correct answer

90°
Correct Incorrect Correct answer

100°
Correct Incorrect Correct answer

Correct

Incorrect
Question 26 of 49

26. Question

Solve the equation:

1/5
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2/5
Correct Incorrect Correct answer

3/5
Correct Incorrect Correct answer

4/5
Correct Incorrect Correct answer

Correct

Incorrect
Question 27 of 49

27. Question

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct

Incorrect
Question 28 of 49

28. Question

In the diagram, PQ and PS are tangents to the circle O. If PSQ = m, <SPQ = n and <SQR = 33 $^{o}$ , find the value of (m + n)

103°
Correct Incorrect Correct answer

123°
Correct Incorrect Correct answer

133°
Correct Incorrect Correct answer

143°
Correct Incorrect Correct answer

Correct

Incorrect
Question 29 of 49

29. Question

A sum of N18,100 was shared among 5 boys and 4 girls with each boy taking N20.00 more than each girl. Find a boy's share.

N1,820.00
Correct Incorrect Correct answer

N2,000.00
Correct Incorrect Correct answer

N2,020.00
Correct Incorrect Correct answer

N2,040.00
Correct Incorrect Correct answer

Correct

Incorrect
Question 30 of 49

30. Question

Three exterior angles of a polygon are 30 $^{o}$ , 40 $^{o}$ and 60°. If the remaining exterior angles are 46 $^{o}$ each, name the polygon.

decagon
Correct Incorrect Correct answer

nonagon
Correct Incorrect Correct answer

octagon
Correct Incorrect Correct answer

hexagon
Correct Incorrect Correct answer

Correct

Incorrect
Question 31 of 49

31. Question

The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, Find the median of the distribution

4
Correct Incorrect Correct answer

3
Correct Incorrect Correct answer

1
Correct Incorrect Correct answer

2
Correct Incorrect Correct answer

Correct

Incorrect
Question 32 of 49

32. Question

One factor of $7 x^{2} + 33 x - 10$ is

7x+5
Correct Incorrect Correct answer

x-2
Correct Incorrect Correct answer

7x-2
Correct Incorrect Correct answer

x-5
Correct Incorrect Correct answer

Correct

Incorrect
Question 33 of 49

33. Question

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct

Incorrect
Question 34 of 49

34. Question

The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, find the first quartile

1.0
Correct Incorrect Correct answer

1.5
Correct Incorrect Correct answer

2.0
Correct Incorrect Correct answer

2.5
Correct Incorrect Correct answer

Correct

Incorrect
Question 35 of 49

35. Question

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct

Incorrect
Question 36 of 49

36. Question

Find the 6th term of the sequence $\frac{2}{3} \frac{7}{15} \frac{4}{15}$ ,...

-1/3
Correct Incorrect Correct answer

-1/5
Correct Incorrect Correct answer

-1/15
Correct Incorrect Correct answer

-1/9
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Correct

Incorrect
Question 37 of 49

37. Question

In a class of 45 students, 28 offer chemistry and 25 offer Biology. If each student offers at least one of the two subjects, calculate the probability that a student selected at random from the class the class offers chemistry only.

2/9
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4/9
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5/9
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7/9
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Correct

Incorrect
Question 38 of 49

38. Question

Simplify; 3x - (p - x) - (r - p)

2x-r
Correct Incorrect Correct answer

2x+r
Correct Incorrect Correct answer

4x-r
Correct Incorrect Correct answer

2x - 2p - r
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Correct

Incorrect
Question 39 of 49

39. Question

The roots of a quadratic equation are $\frac{- 1}{2}$ and $\frac{2}{3}$ . Find the equation.

6x^2−x+2=0
Correct Incorrect Correct answer

6x^2−x-2=0
Correct Incorrect Correct answer

6x^2+x-2=0
Correct Incorrect Correct answer

6x^2+x+2=0
Correct Incorrect Correct answer

Correct

Incorrect
Question 40 of 49

40. Question

In the diagram, NQ//TS, <RTS = 50 $^{o}$ and <PRT = 100 $^{o}$ . Find the value of <NPR.

110°
Correct Incorrect Correct answer

130°
Correct Incorrect Correct answer

140°
Correct Incorrect Correct answer

150°
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Correct

Incorrect
Question 41 of 49

41. Question

An arc of a circle of radius 7.5cm is 7.5cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take $π = \frac{22}{7}$ ]

29°
Correct Incorrect Correct answer

57°
Correct Incorrect Correct answer

65°
Correct Incorrect Correct answer

115°
Correct Incorrect Correct answer

Correct

Incorrect
Question 42 of 49

42. Question

Make x the subject of the relation

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct Incorrect Correct answer

Correct

Incorrect
Question 43 of 49

43. Question

A stationary boat is observed from a height of 100m. If the horizontal distance between the observer and the boat is 80m, calculate, correct to two decimal places, the angles of depression of the boat from point of observation.

36.87°
Correct Incorrect Correct answer

39.70°
Correct Incorrect Correct answer

51.34°
Correct Incorrect Correct answer

53.13°
Correct Incorrect Correct answer

Correct

Incorrect
Question 44 of 49

44. Question

Water flows out of a pipe at a rate of 40 $π c m^{2}$ per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.

10cm
Correct Incorrect Correct answer

14cm
Correct Incorrect Correct answer

16cm
Correct Incorrect Correct answer

20cm
Correct Incorrect Correct answer

Correct

Incorrect
Question 45 of 49

45. Question

Consider the statements: p it is hot, q: it is raining

Which of the following symbols correctly represents the statement "It is raining if and only if it it is cold"?

p ⟺ ∼q
Correct Incorrect Correct answer

p ⟺ q
Correct Incorrect Correct answer

∼ p ⟺ ∼q
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q ⟺ ∼p
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Correct

Incorrect
Question 46 of 49

46. Question

The diagonal of a square is 60 cm. Calculate its peremeter

20√2
Correct Incorrect Correct answer

40√2
Correct Incorrect Correct answer

90√2
Correct Incorrect Correct answer

120√2
Correct Incorrect Correct answer

Correct

Incorrect
Question 47 of 49

47. Question

The dimensions of water tank are 13cm, 10cm and 70cm. If it is half-filled with water, calculate the volume of water in litres.

4.55
Correct Incorrect Correct answer

7.50
Correct Incorrect Correct answer

8.10
Correct Incorrect Correct answer

9.55
Correct Incorrect Correct answer

Correct

Incorrect
Question 48 of 49

48. Question

2/t
Correct Incorrect Correct answer

t/2
Correct Incorrect Correct answer

1/(2t)
Correct Incorrect Correct answer

t
Correct Incorrect Correct answer

Correct

Incorrect
Question 49 of 49

49. Question

Find the value of m in the diagram.

72°
Correct Incorrect Correct answer

68°
Correct Incorrect Correct answer

44°
Correct Incorrect Correct answer

34°
Correct Incorrect Correct answer

Correct

Incorrect

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