2009 - WAEC Mathematics Past Questions and Answers - page 5

41
If /XY/ = 50m, how far cast of X is Y?
A
25.5m
B
40.6m
C
40.8m
D
43.3m
correct option: d

Required distance = x

where (\frac{1}{50m}) = sin 60 x 50m x 0.866

x = 43.3m

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42
in the diagram, angle 20o is subtended at the centre of the circle, find the value of x
A
30o
B
50o
C
80o
D
100o
correct option: b

2(30 + x) = 360 - 200

60 + 2x = 160

2x = 160 - 60

2x = 100

x = (\frac{100}{2})

x = 50

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43
The pie chart shows the distribution of 4320 students who graduated from four departments in a university. How many students graduated from the science department?
A
840
B
864
C
920
D
960
correct option: b

(\frac{\text{science}}{\text{graduates}}) = (\frac{\theta}{360}) x 4320

where (\theta) + 100 + 80 + 108 = 360

(\theta) = 360 - 288 = 360

(\frac{\text{science}}{\text{graduates}}) = (\frac{72}{360} \times 4320)

= 864

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44
The pie chart shows the distribution of 4320 students who graduated from four departments in a university. If a student is picked at random from the four departments, what id the probability that he is not from the education department?
A
\(\frac{3}{10}\)
B
\(\frac{2}{9}\)
C
\(\frac{5}{18}\)
D
\(\frac{7}{10}\)
correct option: d

(\frac{\text{education}}{\text{graduates}} = \frac{108}{360} \times 4320)

= 1296

Pr(Education) = (\frac{1296}{4320} = \frac{1}{10})

pr(not education) = 1 - (\frac{3}{10})

= (\frac{10 - 3}{10})

= (\frac{7}{10})

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45
From the diagram which of the following statements are correct? i. XQ is a radius of a circle centre Q. ii. /XQ/ = /QY/. iii. /QX/ = /XY/
A
i only
B
inand ii only
C
ii and iii only
D
i, ii and iii
correct option: b
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46
Find the value of x in the diagram
A
50o
B
60o
C
70o
D
80o
correct option: c

30 + x = 100

x = 100 - 30

= 70o

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