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Wednesday, 20 May 2026
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Mathematics Past Questions and Answers

Waec Mathematics Questions

Question 266:
If cos θ = 5/13, what is the value of tan \(\theta\) for 0 < θ < 90° ?
  • A 13
  • B 5
  • C 13/5
  • D 12/5
  • E 5/12
View Answer & Explanation
Question 267:
The value of tan 315°
  • A 1
  • B √2/2
  • C O
  • D -1
  • E -√2/2
View Answer & Explanation
Question 268:
The value of sin 210° is
  • A \(-\frac{1}{2}\)
  • B \(-\frac{\sqrt{3}}{2}\)
  • C \(\frac{1}{2}\)
  • D \(\frac{\sqrt{2}}{2}\)
  • E \(\frac{\sqrt{3}}{2}\)
View Answer & Explanation
Question 269:
Town P is on bearing 315o from town Q while town R is south of town P and west of town Q. lf town R is 60km away from Q, how far is R from P?
  • A 30km
  • B 42km
  • C 45km
  • D 60km
  • E 120km
View Answer & Explanation
Question 270:
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
  • E 10m
View Answer & Explanation