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In parallelogram PQRS, QR is produced to M such that |QR| = |RM|. What fraction of the area of PQMS is the area of PRMS?
A\(\frac{1}{4}\)
B\(\frac{1}{3}\)
C\(\frac{2}{3}\)
D\(\frac{3}{4}\)
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Question 12
waec2014
A chord subtends an angle of 120o at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord, [Take \(\pi = \frac{22}{7}\)]
A14\(\frac{1}{3}\)cm
B12\(\frac{5}{6}\)cm
C8\(\frac{1}{7}\)cm
D7\(\frac{1}{3}\)cm
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Question 13
waec2014
A man's eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.
A33o
B32o
C27o
D26o
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Question 14
waec2014
Subtract \(\frac{1}{2}\)(a - b - c) from the sum of \(\frac{1}{2}\)(a - b + c) and \(\frac{1}{2}\)
(a + b - c)
A\(\frac{1}{2}\) (a + b + c)
B\(\frac{1}{2}\) (a - b - c)
C\(\frac{1}{2}\) (a - b + c)
D\(\frac{1}{2}\) (a + b - c)
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Question 15
waec2014
If \(\frac{2}{x - 3} - \frac{3}{x - 2}\) is equal to \(\frac{p}{(x - 3)(x - 2)}\), find p
Given that cos x = \(\frac{12}{13}\), evaluate \(\frac{1 - \tan x}{\tan x}\)
A\(\frac{5}{13}\)
B\(\frac{5}{7}\)
C\(\frac{7}{5}\)
D\(\frac{13}{5}\)
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Question 19
waec2014
If x : y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x : y : z
A8
B10
C15
D20
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Question 20
waec2014
A box contains 13 currency notes, all of which are either N50 or N20 notes. The total value of the currency notes is N530. How many N50 notes are in the box?
A4
B6
C8
D9
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Question 21
waec2014
A ship sails x km due east to a point E and continues x km due north to F. Find the bearing the bearing of f from the starting point.
A045o
B090o
C135o
D225o
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Question 22
waec2014
Which of the following is a measure of dispersion?
Arange
Bpercentile
Cmedian
Dquartile
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Question 23
waec2014
A chord, 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle
A0.7cm
B1.2cm
C2.0cm
D2.5cm
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Question 24
waec2014
The area of a sector a circle with diameter 12cm is 66cm2. If the sector is folded to form a cone, calculate the radius of the base of the cone [Take \(\pi = \frac{22}{7}\)]
A3.0cm
B3.5cm
C7.0cm
D7.5cm
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Question 25
waec2014
\(\begin{array}{c|c}height & 2 & 3 & 4 & 5 & 6 \\ \hline frequency & 2 & 4 & 5 & 3 & 1
\end{array}\)
The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants.
A3.8
B3.0
C2.8
D2.3
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Question 26
waec2014
If (x - a) is a factor pf bx - ax + x2, find the other factor.
A(x + b)
B(x - b)
C(a + b)
D(a - b)
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Question 27
waec2014
Find the gradient of the line joining the points (2, -3) and 2, 5)
A9
B1
C2
Dundefined
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Question 28
waec2014
F x varies inversely as y and y varies directly as Z, what is the relationship between x and z?
Ax \(\alpha\) z
Bx \(\alpha \frac{1}{z}\)
Cx \(\alpha z^2\)
Dx \(\alpha \frac{1}{z^2}\0
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Question 29
waec2014
Make u the subject of formula, E = \(\frac{m}{2g}\)(v2 - u2)
Au = \(\sqrt{v^2 - \frac{2Eg}{m}}\)
Bu = \(\sqrt{\frac{v^2}{m} - \frac{2Eg}{4}}\)
Cu = \(\sqrt{v- \frac{2Eg}{m}}\)
Du = \(\sqrt{\frac{2v^2Eg}{m}}\)
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Question 30
waec2014
The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find the shortest distance between P and Q.
