1994 - WAEC Mathematics Past Questions and Answers - page 5

41
In the diagram |PS| is a diameter of circle PQRS. |PQ| = |QR| and ∠RSP = 74o. Find ∠QPS
A
32o
B
37o
C
48o
D
53o
correct option: d
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42
A ladder 6m long leans against a vertical wall so that it makes an angle of 60o with the wall. Calculate the distance of the foot of the ladder from the wall
A
3m
B
6m
C
2√3m
D
3√3m
correct option: d
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43
The bearing of Q from P is 122o, what is the bearing of P from Q?
A
212o
B
238o
C
248o
D
292o
correct option: e
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44
cos 57o has the same value as
A
sin 213o
B
-cos 303o
C
sin 147o
D
cos 123o
correct option: c
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45
The median of the distribution is
A
9.5kg
B
11kg
C
67kg
D
65.5kg
correct option: e
\(\frac{67 + 68}{2} = 67.5 = 68kg\)
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46
The percentage of the students with mass less than 69kg is
A
56%
B
62.5%
C
68%
D
70%
correct option: d
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47
The mean heights of the three groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m respectively. Find the mean height of the students
A
1.52m
B
1.53m
C
1.54m
D
1.55m
correct option: c
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48
Two cards are drawn one after the other with replacement from a well-shuffled ordinary deck of 52 cards containing four Aces. Find the probability that they are both Aces
A
1/221
B
1/169
C
1/52
D
1/26
correct option: b
1st card prob = 4/52 2nd card prob = 4/52
prob.both are aces = (4/52) x (4/52) = 1/169
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49
Find the probability that a number selected from the number 30 to 50 inclusive is a prime
A
1/4
B
5/21
C
2/7
D
3/10
correct option: b
30 (31) 32 33 34 35 36 (37) 38 39 40 (41) 42 (43) 44 45 46 (47) 48 49 50
prob = 5/21
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50

The length of an exercise book is given as 20cm correct to the nearest centimeter. In which of the following ranges of possible measurement does the actual length lie?

A
19.5 - 20.4cm
B
19.1 - 20.9cm
C
19.9 - 20.1cm
D
19.95 - 20.05cm
correct option: a

In mathematics, numbers ranging from 0.5 - 0.9 are approximated to 1, while 0.1 - 0.4 are taken down to 0.

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