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
Users' Answers & Commentswhere \(\frac{1}{50m}\) = sin 60 x 50m x 0.866
x = 43.3m
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
Users' Answers & Comments60 + 2x = 160
2x = 160 - 60
2x = 100
x = \(\frac{100}{2}\)
x = 50
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
Users' Answers & Commentswhere \(\theta\) + 100 + 80 + 108 = 360
\(\theta\) = 360 - 288 = 360
\(\frac{\text{science}}{\text{graduates}}\) = \(\frac{72}{360} \times 4320\)
= 864
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 - \(\frac{3}{10}\)
= \(\frac{10 - 3}{10}\)
= \(\frac{7}{10}\)
Users' Answers & Comments= 1296
Pr(Education) = \(\frac{1296}{4320} = \frac{1}{10}\)
pr(not education) = 1 - \(\frac{3}{10}\)
= \(\frac{10 - 3}{10}\)
= \(\frac{7}{10}\)
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
Users' Answers & Comments46
Find the value of x in the diagram
A
50o
B
60o
C
70o
D
80o