1998 - WAEC Mathematics Past Questions and Answers - page 3

21
If h(m+n) = m(h+r) find h in terms of m, n and r
A
\(h=\frac{mr}{2m+n}\)
B
\(h=\frac{mr}{n+m}\)
C
\(h=\frac{m+n}{n}\)
D
\(h=\frac{m+n}{m}\)
correct option: e
\(h(m+n) = m(h+r)\
hm+hn=hm+mr\
hn=mr\
h=\frac{mr}{n}\)
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22
Given that \(\frac{6x-y}{x+2y}=2\), find the value of \(\frac{x}{y}\)
A
\(\frac{3}{8}\)
B
\(\frac{5}{8}\)
C
\(\frac{4}{5}\)
D
\(\frac{5}{4}\)
correct option: d
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23
The radius of a geographical globe is 60cm. Find the length of the parallel of latitude 60oN
A
\(66\pi cm\)
B
\(60\pi cm\)
C
\(30\pi cm\)
D
\(15\pi cm\)
correct option: b
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24
In the diagram above, O is the center if the two concentric circle of radii 13cm and 10cm respectively. Find the area of the shaded portion in the sector with angle 1200 at the center
A
\(\frac{1}{3}\pi cm^2\)
B
\(\pi cm^2\)
C
\(3\pi cm^2\)
D
\(23\pi cm^2\)
correct option: e
\(\frac{120\pi}{360}(R^2 - r^2)\
\frac{1}{3}\times \pi (13^2 - 10^2)\
\frac{1}{3}\times \pi \times 69 = 46\pi cm^2\)
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25
Express as a single fraction: \(\frac{x}{x-2}-\frac{x+2}{x+3}\)
A
\(\frac{2x^2 - 3x - 4}{(x-2)(x+3)}\)
B
\(\frac{2x^2 + 3x - 4}{(x-2)(x+3)}\)
C
\(\frac{2}{(x-2)(x+3)}\)
D
\(\frac{ 3x + 4}{(x-2)(x+3)}\)
correct option: d
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26
The following numbers represent at a set of scores for a class of 32 students, where the maximum score possible was 12, 6, 5, 9, 4, 4, 8, 7, 5, 6, 3, 2, 5, 4, 6, 9, 10, 4, 3, 2, 3, 4, 6, 8, 7, 4, 2, 1, 8, 7, 7, 6, 11. What is the percentage of the class, correct to the nearest whole number, scored above 6?
A
34%
B
35%
C
37%
D
38%
correct option: a
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27

A die with faces numbered 1 to 6 is rolled once. What is the probability of obtaining 4?

A
\(\frac{1}{36}\)
B
\(\frac{1}{6}\)
C
\(\frac{1}{3}\)
D
\(\frac{1}{2}\)
correct option: c

When the die is rolled, occasion of getting 4 = 2 occasions.

P(obtaining a 4) = \(\frac{1}{6} + \frac{1}{6}\)

= \(\frac{1}{3}\)

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28
In the diagram above, the area of triangle ABC is 35cm2, find the value of y
A
5cm
B
10cm
C
17.5cm
D
28cm
correct option: b
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29
The graph of the quadratic expression
A
\(y=x^2 + x - 2\)
B
\(y=x^2 - x + 2\)
C
\(y=x^2 - x - 2\)
D
\(y=x + x + 2\)
correct option: c
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30
The values of x when y = -1 are approximately
A
-10 and 2.0
B
-1.3 and 2.3
C
-0.6 and 2.6
D
-0.6 and 1.6
correct option: d
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