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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 284
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 285
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 286
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 287
waec2014
Which of the following is a measure of dispersion?
Arange
Bpercentile
Cmedian
Dquartile
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Question 288
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 289
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 290
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 291
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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 292
waec2014
Find the gradient of the line joining the points (2, -3) and 2, 5)
A9
B1
C2
Dundefined
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Question 293
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 294
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 295
waec2014
The coordinates of points P and Q are (4, 3) and (2, -1) respectively. Find the shortest distance between P and Q.
A10\(sqrt{2}\)
B4\(sqrt{5}\)
C5\(sqrt{2}\)
D2\(sqrt{5}\)
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Question 296
waec2014
Find the truth set of the equation x2 = 3(2x + 9)
A{x : x = 3, x = 9}
B{x : x = -3, x = -9}
C{x : x = 3, x = -9}
D{x : x = -3, x = 9}
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Question 297
waec2014
If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x:0 \(\geq\) x \(\geq\) 6}, find x \(\cap\) (Y' \(\cup\) Z)
A{0, 2, 6}
B{1, 3}
C{0, 6)
D{9}
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Question 298
waec2014
Three quarters of a number added to two and a half of the number gives 13. Find the number
A4
B5
C6
D7
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Question 299
waec2014
Given that x > y and 3 < y, which of the following is/are true? i. y > 3 ii. x < 3 iii. x > y > 3
