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Tuesday, 21 April 2026
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Mathematics Past Questions and Answers

Jamb 1982 Mathematics Questions

Question 16:
A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector.
  • A 42cm<sup style='font-size: smaller;'>2</sup>
  • B 3cm<sup style='font-size: smaller;'>2</sup>
  • C 21cm<sup style='font-size: smaller;'>2</sup>
  • D 24cm<sup style='font-size: smaller;'>2</sup>
  • E 12cm<sup style='font-size: smaller;'>2</sup>
View Answer & Explanation
Question 17:
Given that p:q = \(\frac{1}{3}\):\(\frac{1}{2}\) and q:r = \(\frac{2}{5}\), find p:r
  • A 4:105
  • B 7:15
  • C 20:21
  • D 2:35
  • E 3:20
View Answer & Explanation
Question 18:
If sin \(\theta\) = \(\frac{m - n}{m + n}\); Find the value of 1 + tan2\(\theta\)
  • A \(\frac{(m^2 + n^2)}{m + n}\)
  • B \(\frac{(m^2 + n^2 + 2mn)}{4mn}\)
  • C \(\frac{2(m^2 + n^2 + mn)}{m + n}\)
  • D \(\frac{(m^2 + n^2 + mn)}{m + n}\)
View Answer & Explanation
Question 19:
The currency used in a country is called 'Matimalik'(M) and is of base seven. A lady in that country bought 4 bags of rice at M56 per bag and and 3 tins of milk at M4 per tin. What is the total cost of the item she bought?
  • A M246<sub style='font-size: smaller;'>7</sub>
  • B M242<sub style='font-size: smaller;'>7</sub>
  • C M236<sub style='font-size: smaller;'>7</sub>
  • D M341<sub style='font-size: smaller;'>7</sub>
  • E M338<sub style='font-size: smaller;'>7</sub>
View Answer & Explanation
Question 20:
Solve for x, If \(\frac{\frac{2}{x}}{\frac{p^2 + p^2}{p^2 + p^2}}\) = m
  • A \(\frac{4pq}{m(p + q)}\)
  • B \(\frac{2p^2q^2}{m(q^2 + p^2)}\)
  • C \(\frac{2pq}{m(q^2 + p^2)}\)
  • D \(\frac{2p^2q^2}{m(p^2)}\)
View Answer & Explanation