2015 - WAEC Mathematics Past Questions and Answers - page 3

21
PQRT is square. If x is the midpoint of PQ, Calculate correct to the nearest degree, LPXS
A
53o
B
55o
C
63o
D
65o
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22
The angle of elevation of an aircraft from a point K on the horizontal ground 30\(\alpha\). If the aircraft is 800m above the ground, how far is it from K?
A
400.00m
B
692.82m
C
923.76m
D
1,600.99m
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23
The population of students in a school is 810. If this is represented on a pie chart, calculate the sectoral angle for a class of 7 students
A
32o
B
45o
C
60o
D
75o
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24
The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75. Find the third quartile.
A
62
B
63
C
64
D
65
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25
\(\begin{array}{c|c}
Scores & 0 - 4 & 5 - 9 & 10 - 14\
\hline Frequency & 2 & 1 & 2\end{array}\)

The table shows the distribution of the scores of some students in a test. Calculate the mean scores.
A
5.6
B
6.2
C
6.6
D
7.0
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26
The probability that kebba, Ebou and Omar will hit a target are \(\frac{2}{3}\), \(\frac{3}{4}\) and \(\frac{4}{5}\) respectively. Find the probability that only Kebba will hit the target.
A
\(\frac{2}{5}\)
B
\(\frac{7}{60}\)
C
\(\frac{1}{30}\)
D
\(\frac{1}{60}\)
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27
In the diagram, VW//YZ, |WX| = 6cm, |XY| = 16cm, |YZ| = 20cm and |ZX| = 12cm. Calculate |VX|
A
3cm
B
4cm
C
6cm
D
8cm
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28
Tom will be 25 years old in n years' time. If he is 5 years younger than Bade's present age.
A
(30 - n)years
B
(20 - n)years
C
(25 - n)years
D
(30 + n)years
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29

If \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3}}\) is simplified as m + n\(\sqrt{6}\), find the value of (m + n)

A
\(\frac{1}{3}\)
B
\(\frac{2}{3}\)
C
1\(\frac{1}{3}\)
D
1\(\frac{2}{3}\)
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30

In the given diagram, \(\bar{QT}\) and \(\bar{PR}\) are straight lines, < ROS = (3n - 20), < SOT = n, < POL = m and < QOL is a right angle. Find the value of n.

A
35o
B
40o
C
55o
D
60o
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