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Sunday, 16 August 2026
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Mathematics Past Questions and Answers

Topic: lengths and areas of plane geometrical figures

Jamb Mathematics Questions - lengths and areas of plane geometrical figures

Question 26:
PQR is the diagram of a semicircle RSP with centre at Q and radius of length 3.5cm. If QPT = 60o. Find the perimeter of the figure PTRS. \(\pi\) = \(\frac{22}{7}\)
  • A 25cm
  • B 18cm
  • C 36cm
  • D 29cm
  • E 25.5cm
View Answer & Explanation
Question 27:
In the figure, find PRQ
  • A 66\(\frac{1}{2}\)<sup style='font-size: smaller;'>o</sup>
  • B 62\(\frac{1}{2}\)<sup style='font-size: smaller;'>o</sup>
  • C 125<sup style='font-size: smaller;'>o</sup>
  • D 105<sup style='font-size: smaller;'>o</sup>
  • E 65<sup style='font-size: smaller;'>o</sup>
View Answer & Explanation
Question 28:
Using \(\bigtriangleup\)XYZ in the figure, find XYZ
  • A 29<sup style='font-size: smaller;'>o</sup>
  • B 31<sup style='font-size: smaller;'>o</sup>
  • C 31<sup style='font-size: smaller;'>o</sup> 20'
  • D 31<sup style='font-size: smaller;'>o</sup> 18'
View Answer & Explanation
Question 29:
Find the area of the shaded portion of the semicircular figure.
  • A \(\frac{r^2}{4}(4 \pi - 3 \sqrt{3})\)
  • B \(\frac{r^2}{4}(2 \pi - 3 \sqrt{3})\)
  • C \(\frac{1}{2}r^2 \pi\)
  • D \(\frac{1}{8}r^2 \sqrt{3}\)
  • E \(\frac{r^2}{4}(4 \pi - 3 \sqrt{3})\)
View Answer & Explanation
Question 30:
In the figure, PQRSTW is a regular hexagon. QS intersects RT at V. Calculate TVS
  • A 60<sup style='font-size: smaller;'>o</sup>
  • B 90<sup style='font-size: smaller;'>o</sup>
  • C 120<sup style='font-size: smaller;'>o</sup>
  • D 30<sup style='font-size: smaller;'>o</sup>
  • E 80<sup style='font-size: smaller;'>o</sup>
View Answer & Explanation