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If y \(\alpha\) x\(^2\) and y = 1\(\frac{1}{4}\) when x = 4, find the value of y when x = \(\frac{1}{2}\)
A\(2\frac{1}{2}\)
B5
C10
D80
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Question 22
waec2005
A rectangular packet has inner dimension 16cm by 12cm by 6cm. How many cubes of sugar of side 2cm can be neatly packed into the packet?
A90
B144
C150
D288
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Question 23
waec2005
XOY is a real sector of a circle center O of radius 3.5cm which subtends an angle of 144o at the center. Calculate, in term of \(\pi\), the area of the sector
A1.4\(\pi\)cm2
B2.8\(\pi\)cm2
C4.9\(\pi\)cm2
D9.8\(\pi\)cm2
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Question 24
waec2005
The angle of elevation of the top of a cliff 15 meters high from a landmark is 60º. How far is the landmark from the foot of the cliff? Leave your answer in surd form
A\(15\sqrt{3}m\)
B\(15\sqrt{2}m\)
C\(10\sqrt{3}m\)
D\(5\sqrt{3}m\)
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Question 25
waec2005
In the diagram PQRS is a circle, |PT| = |QT| and ∠QPT = 70o what is the size of ∠PRS?
A40o
B70o
C80o
D140o
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Question 26
waec2005
What is the equation of the curve?
A\(y=x^2+6x+4\)
B\(y=x^2-5x-4\)
C\(y=x^2-5x+4\)
D\(y=x^2+5x-4\)
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Question 27
waec2005
What are the roots of the equation?
A-1 and 1
B4 and 1
C1 and 4
D4 and 4
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Question 28
waec2005
For what values of y is the expression \(\frac{6y-1}{y^2 - y-6}\) not defined?
A\(\frac{1}{6}, \frac{1}{4}\)
B3, -2
C-3, 2
D0,1
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Question 29
waec2005
The total surface area of the walls of a room 7m long, 5m wide and xm high is 96m2. Find the value of x
A\(\frac{2}{3}\)
B2
C4
D8
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Question 30
waec2005
Simplify: \(\frac{2}{3xy} - \frac{3}{4yz}\)
A\(\frac{2-x}{12xyz}\)
B\(\frac{2z-3x}{12xyz}\)
C\(\frac{4z-3x}{12xyz}\)
D\(\frac{8z-9x}{12xyz}\)
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Question 31
waec2005
A regular polygon has 9 sides. What is the size of one of its exterior angles?
A20o
B40o
C90o
D140o
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Question 32
waec2005
The salary of a man was increased in the ratio 40:47. calculate the percentage increase in the salary
A85.1%
B58.5%
C17.5%
D14.9%
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Question 33
waec2005
A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?
A35 mins
B40 mins
C45 mins
D90 mins
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Question 34
waec2005
P = {3, 9, 11, 13} and Q = {3, 7, 9, 15} are subset of the universal set ξ = {1, 3, 7, 9, 11, 13, 15} find PI ∩ QI
A{3, 9}
B{5, 7, 9}
C{1}
D{1, 11}
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Question 35
waec2005
which of the following statements describes the locus of a point R which moves in a plane such that its equidistant from two intersecting lines?
Athe bisector of the angle formed by the lines
Bthe point of intersection of the two lines
CA cone, with two intersecting lines as slant height
DA circle, with the point of intersection of the two lines as the center
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Question 36
waec2005
An arc of a circle of radius 14cm subtends angle 300o at the center. Find the perimeter of the sector formed by the arc
A14.67cm
B42.67cm
C101.33cm
D543.33cm
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Question 37
waec2005
What is the total surface area of a closed cylinder of height 10cm and diameter 7cm? [Take \(\pi = \frac{22}{7}\)]
A77cm2
B227cm2
C297cm2
D374cm2
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Question 38
waec2005
Find the mean of the numbers 1, 3, 4, 8, 8, 4 and 7
A4
B5
C6
D7
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Question 39
waec2005
Given that the root of an the equation \(2x^2 + (k+2)x+k=0\) is 2, find the value of k
A-4
B-2
C-1
D\(-\frac{1}{4}\)
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Question 40
waec2005
A sequence is given by \(2\frac{1}{2}, 5, 7\frac{1}{2}, .....\) if the nth term is 25, find n
