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Friday, 14 August 2026
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Mathematics Past Questions and Answers

Topic: Plane geometric shapes

Jamb Mathematics Questions - Plane geometric shapes

Question 36:
In the figure, PQST is a parallelogram and TSR is a straight line. If the area of \(\bigtriangleup\)QRS is 20cm2, find the area of the trapezium PQRT.
  • A 35cm<sup style='font-size: smaller;'>2</sup>
  • B 65cm<sup style='font-size: smaller;'>2</sup>
  • C 70cm<sup style='font-size: smaller;'>2</sup>
  • D 140cm<sup style='font-size: smaller;'>2</sup>
View Answer & Explanation
Question 37:
Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.
  • A Square of sides p
  • B Square of sides 2p
  • C Square of sides (p/2)
  • D Square of sides (p/4)
View Answer & Explanation
Question 38:
The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?
  • A 12
  • B 20
  • C 40
  • D 10
View Answer & Explanation
Question 39:
In the diagram above are two concentric circles of radii r and R respectively with center O. If r = 2/3R, express the area of the shaded portion in terms of π and R
  • A <sup style='font-size: smaller;'>21</sup>/<sub style='font-size: smaller;'>25</sub>πR<sup style='font-size: smaller;'>2</sup>
  • B <sup style='font-size: smaller;'>9</sup>/<sub style='font-size: smaller;'>25</sub>πR<sup style='font-size: smaller;'>2</sup>
  • C <sup style='font-size: smaller;'>21</sup>/<sub style='font-size: smaller;'>23</sub>πR<sup style='font-size: smaller;'>2</sup>
  • D <sup style='font-size: smaller;'>5</sup>/<sub style='font-size: smaller;'>9</sub>πR<sup style='font-size: smaller;'>2</sup>
View Answer & Explanation
Question 40:
A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides
  • A 3 cm
  • B 4 cm
  • C 6 cm
  • D 7 cm
View Answer & Explanation