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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 41:
In the figure, STQ = SRP, PT = TQ = 6cm and QS = 5cm. Find SR
  • A \(\frac{47}{5}\)
  • B 5
  • C \(\frac{32}{5}\)
  • D \(\frac{22}{5}\)
View Answer & Explanation
Question 42:
In the figure, PS = RS = QS and QRS = 50°. Find QPR
  • A 25<sup style='font-size: smaller;'>O</sup>
  • B 40<sup style='font-size: smaller;'>O</sup>
  • C 50<sup style='font-size: smaller;'>O</sup>
  • D 65<sup style='font-size: smaller;'>O</sup>
View Answer & Explanation
Question 43:
In the figure, PS = QS = RS and QSR - 100o, find QPR
  • A 40<sup style='font-size: smaller;'>o</sup>
  • B 50<sup style='font-size: smaller;'>o</sup>
  • C 80<sup style='font-size: smaller;'>o</sup>
  • D 100<sup style='font-size: smaller;'>o</sup>
View Answer & Explanation
Question 44:
In the figure, YXZ = 30o, XYZ = 105o and XY = 8cm. Calculate YZ
  • A 16\(\sqrt{2}\)cm
  • B 8\(\sqrt{2}\)cm
  • C 4\(\sqrt{2}\)cm
  • D 22cm
View Answer & Explanation
Question 45:
In the figure, PQR is a semicircle. Calculate the area of the shaded region
  • A 125<sup style='font-size: smaller;'>\(\frac{2}{7}\)</sup><sup style='font-size: smaller;'>2</sup>
  • B 149<sup style='font-size: smaller;'>\(\frac{2}{7}\)</sup>cm<sup style='font-size: smaller;'>2</sup>
  • C 234<sup style='font-size: smaller;'>\(\frac{1}{7}\)</sup>cm<sup style='font-size: smaller;'>2</sup>
  • D 267<sup style='font-size: smaller;'>\(\frac{1}{2}\)</sup>cm<sup style='font-size: smaller;'>2</sup>
View Answer & Explanation