WAEC: MATHEMATICS
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Question 1 of 49
1. Question
If 23_{x} + 101_{x} = 130_{x}, find the value of x
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Question 2 of 49
2. Question
Simplify: \( \left( \frac{3}{4} \: \: \frac{2}{3}\right) \scriptsize \: \times \: 1 \frac{1}{5} \)
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Question 3 of 49
3. Question
Simplify: \( \left (\frac{10 \sqrt{3}}{\sqrt{5}} \scriptsize\: – \: \sqrt{15} \right)^2\)
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Question 4 of 49
4. 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?
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Question 5 of 49
5. Question
Which of the following is a valid conclusion from the premise? “Nigerian footballers are good footballers”
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Question 6 of 49
6. Question
On a map, 1cm represent 5km. Find the area on the map that represents 100km^{2}.
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Question 7 of 49
7. Question
Simplify; \(\frac{3^{n\: – \: 1} \: \times \: 27^{n\: + \:1}}{81^{n}}\)
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Question 8 of 49
8. Question
What sum of money will amount to D10,400 in 5 years at 6% simple interest?
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Question 9 of 49
9. Question
The roots of a quadratic equation are ^{4}/_{3} and – ^{3}/_{7}. Find the equation
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Question 10 of 49
10. Question
Find the values of y for which the expression \(\frac{y^2 \: – \: 9y \:+ \:18}{y^2 \:+ \:4y\: – \:21}\) is undefined
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Question 11 of 49
11. Question
Given that 2x + y = 7 and 3x – 2y = 3, by how much is 7x greater than 10?
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Question 12 of 49
12. Question
Simplify;\(\frac{2}{1\: – \: x}\: – \: \frac{1}{x}\)
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Question 13 of 49
13. Question
Make s the subject of the relation: P = \( \scriptsize S \: + \: \normalsize \frac{Sm^2}{nr} \)
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Question 14 of 49
14. Question
Factorize; (2x + 3y)^{2} – (x – 4y)^{2}
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Question 15 of 49
15. Question
The curve surface area of a cylinder, 5cm high is 110cm^{2}. Find the radius of its base. [Take π=^{22}/_{7}]
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Question 16 of 49
16. Question
The volume of a pyramid with height 15cm is 90cm^{3}. If its base is a rectangle with dimension xcm by 6cm, find the value of x
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Question 17 of 49
17. Question
In the diagram, \(\scriptsize \bar{YW}\)is a tangent to the circle at X, UV = VX and < VXW = 50^{o}.
Find the value of < UXY.
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Question 18 of 49
18. Question
In the diagram, \(\scriptsize \bar{PF}, \: \bar{QT} \: \bar{RG}\), intersect at S and PGRG. If < SPQ = 113^{o } and < RSt = 22^{o }, find < PSQ
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Question 19 of 49
19. Question
In the diagram, O is the centre of the circle, < XOZ = (10cm)^{o} and < XWZ = m^{o}. Calculate the value of m.
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Question 20 of 49
20. 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?
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Question 21 of 49
21. Question
In the diagram, TS is a tangent to the circle at S. PR and < PQR = 177^{o}. Calculate < PST.
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Question 22 of 49
22. Question
In the diagram, PRSVWY, TXQY, < PQT = 48^{o} and < TXW = 60^{o}.Find < TQU.
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Question 23 of 49
23. Question
A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ
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Question 24 of 49
24. Question
A straight line passes through the points P(1,2) and Q(5,8).
Calculate the length PQ
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Question 25 of 49
25. Question
In the diagram, TX is perpendicular to UW, UX = 1cm and TX = WX = √3cm. Find UTW
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Question 26 of 49
26. Question
If cos θ = x and sin 60º = x + 0.50º < θ < 90º, find, correct to the nearest degree, the value of θ
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Question 27 of 49
27. Question
\(\scriptsize\begin{array}{cc}
Age(years) & 13 & 14 & 15 & 16 & 17 \\
\hline
Frequency & 10 & 24 & 8 & 5 & 3
\end{array}\)The table shows the ages of students in a club. How many students are in the club?
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Question 28 of 49
28. Question
\(\scriptsize\begin{array}{cc}
Age(years) & 13 & 14 & 15 & 16 & 17 \\
\hline
Frequency & 10 & 24 & 8 & 5 & 3
\end{array}\)
Find the median ageCorrectIncorrect 
Question 29 of 49
29. 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?
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Question 30 of 49
30. Question
A fair die is thrown two times. What is the probability that the sum of the scores is at least 10?
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Question 31 of 49
31. Question
The marks of eight students in a test are: 3, 10, 4, 5, 14, 13, 16 and 7. Find the range
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Question 32 of 49
32. Question
If log_{2}(3x – 1) = 5, find x.
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Question 33 of 49
33. Question
A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r
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Question 34 of 49
34. Question
Express 1975 correct to 2 significant figures
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Question 35 of 49
35. Question
The diagram, MOPQ is a trapezium with QPMO, MQNP, NQOP, QP = 9cm and the height of ΔQNP = 6cm, calculate the area of the trapezium.
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Question 36 of 49
36. Question
The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take π=^{22}/_{7}]
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Question 37 of 49
37. Question
Examine \( \scriptsize M’ \cap N \) from the Venn diagram
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Question 38 of 49
38. Question
If 20(mod 9) is equivalent to y(mod 6), find y.
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Question 39 of 49
39. Question
Simplify \(\frac{(p\: – \: r)^2 \: – \: r^2}{2p^2 \: – \:4pr}\)
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Question 40 of 49
40. Question
In the diagram, O is the centre of the circle, < QPS = 100^{o}, < PSQ = 60^{o} and < QSR. Calculate < SQR
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Question 41 of 49
41. 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
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Question 42 of 49
42. Question
The relation y = x^{2} + 2x + k passes through the point (2,0). Find the value of k
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Question 43 of 49
43. Question
Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8…
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Question 44 of 49
44. Question
Find the lower quartile of the distribution illustrated by the cumulative frequency curve
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Question 45 of 49
45. Question
The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?
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Question 46 of 49
46. Question
Halima is n years old. Her brother’s age is 5 years more than half of her age. How old is her brother?
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Question 47 of 49
47. Question
In the diagram MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140^{o}, find, correct to the nearest cm, the length of the chord MN.
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Question 48 of 49
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 50^{o}, find, correct to 2 decimal places, the height of the mast.
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Question 49 of 49
49. Question
From the diagram, which of the following is true?
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Responses