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Tuesday, 19 May 2026
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Mathematics Past Questions and Answers

Waec Mathematics Questions

Question 386:
Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle. [Take π = 22/7].
  • A 2.3cm
  • B 4.6cm
  • C 8cm
  • D 16cm
  • E 110cm
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Question 387:
A circle has radius x cm. What is the area of a sector of the circle with angle 135°, leaving the answer in terms of x and π?
  • A \( \frac{\pi x^2}{8} \)
  • B \( \frac{3\pi x^2}{8} \)
  • C \( \frac{5\pi x^2}{8} \)
  • D \( \frac{3\pi x}{8} \)
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Question 388:
In the diagram, PQRS is a trapezium with PQ||SR. STR is a straight line, PSHQT, PTHQR. If |PQ| = 12cm and the height of the trapezium is 9cm, find its area.
  • A 96cm2
  • B 108cm2
  • C 135cm2
  • D 162cm2
  • E 216cm2
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Question 389:
Two solid spheres have volumes 250cmo and 128cmo respectively. Find the ratio of their radii.
  • A 125:64
  • B 25:16
  • C 2:1
  • D 4:3
  • E 5:4
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Question 390:
In the diagram ST and QR are parallel. |PS| = 6cm, |SQ| = 8cm and |PR] = 18 2/3. Find |PT|
  • A 7cm
  • B 8cm
  • C 8 2/3cm
  • D 10cm
  • E 10 2/3cm
View Answer & Explanation