1998 - WAEC Mathematics Past Questions and Answers - page 4

31
A box contain 2 white and 3 blue identical balls. If two balls are picked at random, one after the other, without replacement, what is the probability of picking two balls of different colours?
A
\(\frac{5}{25}\)
B
\(\frac{7}{20}\)
C
\(\frac{3}{5}\)
D
\(\frac{2}{3}\)
correct option: c
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32
In ∆PQR. ∠PQR is a right angle. |QR| = 2cm and ∠PRQ = 60o. Find |PR|
A
4√3cm
B
4cm
C
2√3cm
D
\(\frac{4}{3}cm\)
correct option: b
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33
In the diagram, PQ||SR. Find the value of Z
A
30o
B
40o
C
45o
D
90o
correct option: d
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34
In \(sin(X+30)^o=cos40^o\),find X
A
10o
B
20o
C
50o
D
60o
correct option: b
\(sin(X+30)^o=cos40^o\
X+30+40=90^o\)complementary angles
\(X=20^o\)
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35
Find the value of X if \(cos x = \frac{5}{8}for 0^o\le X\le 180^o\)
A
141.3o
B
128.7o
C
51.3o
D
48.7o
correct option: c
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36
A ladder 5cm long long rest against a wall such that its foot makes an angle 30o with the horizontal. How far is the foot of the ladder from the wall?
A
\(\frac{5\sqrt{2}}{3}m\)
B
\(2\frac{1}{2}m\)
C
\(\frac{5\sqrt{3}}{2}m\)
D
\(\frac{10\sqrt{3}}{3}m\)
correct option: b
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37
A chord of circle of radius 26cm is 10cm from the center of the circle. calculate the length of the chord
A
16cm
B
27.86cm
C
32cm
D
48cm
correct option: d
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38
Two chords PQ and RS of a circle intersected at right angles at a point inside the circle. If ∠QPR = 35o,find ∠PQS
A
35o
B
45o
C
55o
D
70o
correct option: c
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39
In the diagram, O is the center of the circle and the reflex angle ROS is 264o. Find ∠RTS
A
48o
B
53o
C
66o
D
132o
correct option: a
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40
If the exterior angles of quadrilateral are yo, (y + 5)o, (y + 10)o and (y + 25)o, find y
A
10o
B
20o
C
40o
D
60o
correct option: e
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