Mathematics Past Questions

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Past Questions

1,853 questions
Question 1 of 20 1,853 total questions
Question 421
waec 2008
Given the sets A = [2, 4, 6, 8] and B = [2, 3, 5, 9]. If a number is selected at random from set B, what is the probability that the number is prime?
A1
B\(\frac{3}{4}\)
C\(\frac{1}{2}\)
D\(\frac{1}{4}\)
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Question 422
waec 2008
Solve the inequality 1 - 2x < - \(\frac{1}{3}\)
Ax < \(\frac{2}{3}\)
Bx < -\(\frac{2}{3}\)
Cx > \(\frac{2}{3}\)
Dx > -\(\frac{2}{3}\)
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Question 423
waec 2008
Find the quadratic equation whose roots are c and -c
Ax2 - c2 = 0
Bx2 + 2cx = 0
Cx2 + 2cx + c2 = 0
Dx2 - 2cx + c2 = 0
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Question 424
waec 2008
If p = \(\frac{1}{2}\) and \(\frac{1}{p - 1} = \frac{2}{p + x}\), find the value of x
A-2\(\frac{1}{2}\)
B-1\(\frac{1}{2}\)
C1\(\frac{1}{2}\)
D2\(\frac{1}{2}\)
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Question 425
waec 2008
XY is a chord of circle centre O and radius 7cm. The chord XY which is 8cm long subtends an angle of 120o at the centre of the circle. Calculate the perimeter of the minor segment. [Take \(\pi = \frac{22}{7}\)]
A14.67cm
B22.67cm
C29.33cm
D37.33cm
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Question 426
waec 2008

What is the length of an edge of a cube whose total surface area is X cm\(^2\) and whose volume is \(\frac{X}{2}\)cm\(^3\)?

A3
B6
C9
D12
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Question 427
waec 2008
An arc of a circle, radius 14cm, is 18.33cm long. Calculate to the nearest degree, the angle which the arc subtends at the centre of the circle. [T = \(\frac{22}{7}\)]
A11o
B20o
C22o
D75o
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Question 428
waec 2008
A train travels 60km in M minutes. If its average speed is 400km per hour, find the value of M
A15
B12
C10
D9
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Question 429
waec 2008
Simplify \(\frac{\log \sqrt{8}}{\log 4 - \log 2}\)
A\(\frac{2}{3}\)
B\(\frac{1}{2} \log 2\)
C\(\frac{3}{2}\)
D\(\log 2\)
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Question 430
waec 2008
If x \(\alpha\) (45 + \(\frac{1}{2}y\)), which of the following is true>?
Ax varies directly as y
Bx varies inversely as y
Cx is partly constant and partly varies as y
Dx vries jointly as 45 and directly as y
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Question 431
waec 2008

If \(2^n = 128\), find the value of \(2^{n - 1})(5^{n - 2})\)

A5(106)
B2(106)
C5(105)
D2(105)
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Question 432
waec 2008
If cos (x + 25)o = sin 45o, find the value of x
A20
B30
C45
D60
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Question 433
waec 2008
If tan x = 1, evaluate sin x + cos x, leaving your answer in the surd form
A2\(\sqrt{2}\)
B\(\frac{1}{2} \sqrt{2}\)
C\(\sqrt{2}\)
D2
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Question 434
waec 2008
If xo is obtuse, which of the following is true?
Ax . 90
B180 < x < 270
Cx < 90
D90 < x < 180
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Question 435
waec 2008
The angles of a quadrilateral are (x + 10)o, 2yo, 90o and (100 - y)o, Find y in terms of x
Ay = 160 + x
By = 100 + x
Cy = 160 - x
Dy = x - 100
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Question 436
waec 2008
If the volume of a cube is 343cm3, find the length of its side
A3cm
B6cm
C7cm
D96cm
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Question 437
waec 2008
PQR is a sector of a circle centre O, radius 4cm. If PQR = 30o, find, correct to 3 significant figures, the area of sector PQR. [Take \(\pi = \frac{22}{7}\)]
A4.19cm2
B8.38cm2
C10.5cm2
D20.9cm2
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Question 438
waec 2008

Simplify: \(\frac{2x^2 - 5x - 12}{4x^2 - 9}\)

A\(\frac{x + 4}{2x + 3}\)
B\(\frac{x + 4}{2x - 3}\)
C\(\frac{x - 4}{2x + 3}\)
D\(\frac{x - 4}{2x - 3}\)
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Question 439
waec 2008
If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r
A\(\frac{9}{25} pr^2\)
B\(\frac{9}{25} p^2r\)
C\(\frac{25}{9} p^2r\)
D\(\frac{25}{9} pr^2\)
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Question 440
waec 2008

If 4y is 9 greater than the sum of y and 3x, by how much is y greater than x?

A3
B6
C9
D12
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