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Monday, 17 August 2026
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Mathematics Past Questions and Answers

Topic: Euclidean Geometry

Jamb Mathematics Questions - Euclidean Geometry

Question 31:
A chord of a circle subtends an angle of 120° at the centre of a circle of diameter \(4\sqrt{3} cm\). Calculate the area of the major sector.
  • A 32\(\pi\) cm\(^2\)
  • B 4\(\pi\) cm\(^2\)
  • C 8\(\pi\) cm\(^2\)
  • D 16\(\pi\) cm\(^2\)
View Answer & Explanation
Question 32:
In triangle PQR, q = 8 cm, r = 6 cm and cos P = \(\frac{1}{12}\). Calculate the value of p.
  • A \(\sqrt{108}\) cm
  • B 9 cm
  • C \(\sqrt{92}\) cm
  • D 10 cm
View Answer & Explanation
Question 33:
If the four interior angles of a quadrilateral are (p + 10)o, (p - 30)o, (2p - 450o, and (p + 15)o, then p is
  • A 125<sup style='font-size: smaller;'>o</sup>
  • B 82<sup style='font-size: smaller;'>o</sup>
  • C 135<sup style='font-size: smaller;'>o</sup>
  • D 105<sup style='font-size: smaller;'>o</sup>
  • E 60<sup style='font-size: smaller;'>o</sup>
View Answer & Explanation
Question 34:
A triangle has angles 30o, 15o and 135o. The side opposite to the angle 30o is length 6cm. The side opposite to the angle 135o is equal to
  • A 12cm
  • B 6cm
  • C 6\(\sqrt{2}\)cm
  • D 12\(\sqrt{2}\)cm
View Answer & Explanation
Question 35:
A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is
  • A 36\(\pi\)cm<sup style='font-size: smaller;'>2</sup>
  • B 54\(\sqrt{3}\)cm<sup style='font-size: smaller;'>2</sup>
  • C \(\sqrt{3}\)cm<sup style='font-size: smaller;'>2</sup>
  • D \(\frac{1}{x - 1}\)
View Answer & Explanation