1992 - WAEC Mathematics Past Questions and Answers - page 4

31

A ladder leans against a vertical wall at an angle
60° to the wall, if the foot of the ladder is 5 metres
away from the wall, calculate the length of the
ladder.

A
5√3m/3
B
5m
C
10√3m/3
D
5√3m
correct option: c

The ladder makes 60° inclination with the wall and its foot is 5m away from the wall.

Sketching the diagram, you will see that we have

\(sin 60 = \frac{5}{x}\) (where x is the length of the ladder)

⇒ \(x = \frac{5}{sin60}\)

\(x = \frac{10\sqrt{3}}{3}m\) 

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32
A cliff on the bank of a river is 300 metres
high. if the angle of depression of a point on the
opposite side of the river is 60° find the width of
the river.
A
100m
B
75√3m
C
100√3m
D
200√3m
correct option: c
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33
Points X and Y are respectively 12m Nonh and
5m of point Z. Calculate XY
A
7m
B
12m
C
13m
D
17m
correct option: c
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34
Find the median of the following set of scores:
65, 72, 55, 48, 78
A
55
B
60
C
63.5
D
65
correct option: d
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35

The data above shows the frequency distribution
of marks scored by a group of students in a class
test.



How many students took the test?
A
13
B
14
C
15
D
18
correct option: c
Users' Answers & Comments
36

The data below shows the frequency distribution
of marks scored by a group of students in a class
test.


What is the modal score
A
2
B
3
C
4
D
5
correct option: c
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37

The data below shows the frequency distribution
of marks scored by a group of students in a class
test.


Find the mean mark.
A
1
B
1.3
C
2
D
3
correct option: e
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38
A group of students measured a certain angle
(to the nearest degree) and obtained the following
results: 75o, 76o, 72o, 73o, 74o, 79o, 72o, 72o, 77o,
72o, 71o, 70o, 78o, 73o. Find the mode
A
79o
B
78o
C
74o
D
73o
correct option: e
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39
Marks 1 2 3 4 5 6 7 8 9 10
No of students 1 3 2 0 1 6 1 0 1 0

The table above shows the scores of 15 students in a Physics test.

How many students scored at least 5?

A
1
B
6
C
8
D
9
correct option: d

No of students that scored at least 5 = 1 + 6 + 1 + 0 + 1 + 0

= 9 students.

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40
A number is chosen at random from the set (1 ,2,3
....,9, 10). What is the probability that the number
is greater than or equal to 7?
A
1/10
B
3/10
C
2/5
D
3/5
correct option: c
The given set {1, 2, 3, 4 ...., 9, 10}
(x ≥ 7 ) = 7 7, 8, 9, 10 = 4
Total number of possible outcome = 10
4/10 = 2/5
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