1991 - WAEC Mathematics Past Questions and Answers - page 3
21
Find the coordinates of point B
A
(0,11/2)
B
(O,2)
C
(2,0)
D
(11/2, 2)
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22
The first term a of an A.P is equal to twice the
common difference d. Find, in terms of d, the 5th
term of the A.P.
common difference d. Find, in terms of d, the 5th
term of the A.P.
A
4d
B
5d
C
6d
D
a + 5d
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23
The common ratio of a G.P. is 2. If the 5th term is
greater than the 1st term by 45, find the 5th term,
greater than the 1st term by 45, find the 5th term,
A
3
B
6
C
45
D
48
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24
Two towns, P and Q, are on (4oN 40oW) and (4oN
20oE) respectively. What is the distance between
them, along their line of latitude? (Give your
answer in teems of π and R, the radius of the earth).
20oE) respectively. What is the distance between
them, along their line of latitude? (Give your
answer in teems of π and R, the radius of the earth).
A
2Ï€R cos4o
B
Ï€R sin40o
C
Ï€R/2
cos4oD
Ï€R/3
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25
the graph above is a sketch of
A
y = sin 2x
B
y=sinx
C
y=cos2x
D
y=2sinx
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26
Given that sin \(\theta\) = -0.9063, where O \(\leq\) \(\theta\) \(\leq\) 270°, find \(\theta\).
A
65o
B
115o
C
145o
D
245o
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27
From the top of a cliff, the angle of depression of
a boat on the sea is 60o, if the top of the cliff is
25m above the sea level, calculate the horizontal
distance from the bottom of the cliff to the boat.
a boat on the sea is 60o, if the top of the cliff is
25m above the sea level, calculate the horizontal
distance from the bottom of the cliff to the boat.
A
50√3m
B
25√3m
C
25√3m/3
D
25m/3
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28
The angle of elevation of the top of a tree 39m
away from a point on the ground is 30o. Find the height of the tree
away from a point on the ground is 30o. Find the height of the tree
A
39√3m
B
13√3m
C
13/\(\sqrt{3}\)m
D
13/3\(\sqrt{3}\)m
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29
In the diagram above, ATR is a tangent at the point T to the circle center O, if ∠TOB = 145°, find ∠TAO
A
20o
B
35o
C
45o
D
55o
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30
P={2, 1,3, 9, 1/2}; Q = {1,21/2,3, 7} and R = {5, 4, 21/2}. Find P∪Q∪R
A
(21/2)
B
(1, 9)
C
(1, 2, 3, 4, 5, 6, 7)
D
(5, 4, 21/2)
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