Waec Mathematics Past Questions and Answers

Question 201:

• WAEC 1991

From the top of a cliff, the angle of depression of

a boat on the sea is 60^o, 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
E. √3m/25

Question 202:

• WAEC 1991

The angle of elevation of the top of a tree 39m

away from a point on the ground is 30^o. Find the height of the tree

A. 39√3m
B. 13√3m
C. 13/\(\sqrt{3}\)m
D. 13/3\(\sqrt{3}\)m
E. \(\sqrt{3}\)/13m

Question 203:

• WAEC 1991

In the diagram above, ATR is a tangent at the point T to the circle center O, if ∠TOB = 145°, find ∠TAO

A. 20^o
B. 35^o
C. 45^o
D. 55^o
E. 65^o

Question 204:

• WAEC 1991

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)
E. (¹/₂, 1, 2, 2¹/₂, 3, 4, 5, 7, 9)

Question 205:

• WAEC 1991

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. ∅
C. (1, 3, 7)
D. (4)
E. (5,7,9)