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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 31:
In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP
  • A 4cm
  • B 16cm
  • C 9cm
  • D 14cm
  • E Impossible, insufficient data
View Answer & Explanation
Question 32:
The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm3, then the volume of the other block is
  • A 234.00 cm<sup style='font-size: smaller;'>3</sup>
  • B 526.50 cm<sup style='font-size: smaller;'>3</sup>
  • C 166.00 cm<sup style='font-size: smaller;'>3</sup>
  • D 687cm<sup style='font-size: smaller;'>3</sup>
View Answer & Explanation
Question 33:
In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XY = 35cm and YK = 8cm. Find the area of \(\bigtriangleup\)XYZ
  • A 190 sq.cm
  • B 20 sq.cm
  • C 210 sq.cm
  • D 160sq.cm
  • E 320sq.cm
View Answer & Explanation
Question 34:
In the figure, GHIJKLMN is a cube of side a. Find the length of HN.
  • A \(\sqrt{3a}\)
  • B 3a
  • C 3a<sup style='font-size: smaller;'>2</sup>
  • D A\(\sqrt{2}\)
  • E A\(\sqrt{3}\)
View Answer & Explanation
Question 35:
In the figure, the area of the shaded segment is
  • A 3\(\pi\)
  • B 9\(\frac{\sqrt{3}}{4}\)
  • C 3 \(\pi - 3 \frac{\sqrt{3}}{4}\)
  • D \(\frac{(\sqrt{3 - \pi)}}{4}\)
  • E \(\pi + \frac{9 \sqrt{3}}{4}\)
View Answer & Explanation