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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 12
waec2008
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 13
waec2008
A train travels 60km in M minutes. If its average speed is 400km per hour, find the value of M
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 16
waec2008
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 17
waec2008
If cos (x + 25)o = sin 45o, find the value of x
A20
B30
C45
D60
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Question 18
waec2008
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 19
waec2008
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 20
waec2008
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 21
waec2008
If the volume of a cube is 343cm3, find the length of its side
A3cm
B6cm
C7cm
D96cm
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Question 22
waec2008
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 23
waec2008
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 24
waec2008
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 25
waec2008
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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Question 26
waec2008
Factorize 5y2 + 2ay - 3a2
A(a - y)(5y - 3a)
B(y - a)(5y - 3a)
C(y - a)(5y + 3a)
D(y + a)(5y - 3a)
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Question 27
waec2008
Given that x = 2 and y = -\(\frac{1}{4}\), evaluate \(\frac{x^2y - 2xy}{5}\)
