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Wednesday, 20 May 2026
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Mathematics Past Questions and Answers

Waec Mathematics Questions

Question 201:
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 50√3m
  • B 25√3m
  • C 25√3m/3
  • D 25m/3
  • E √3m/25
View Answer & Explanation
Question 202:
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
  • A 39√3m
  • B 13√3m
  • C 13/\(\sqrt{3}\)m
  • D 13/3\(\sqrt{3}\)m
  • E \(\sqrt{3}\)/13m
View Answer & Explanation
Question 203:
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
  • E 65o
View Answer & Explanation
Question 204:
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)
View Answer & Explanation
Question 205:
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)
View Answer & Explanation