Jamb Mathematics 1982 Past Questions and Answers

Question 16:

• JAMB 1982

A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector.

A. 42cm²
B. 3cm²
C. 21cm²
D. 24cm²
E. 12cm²

Question 17:

• JAMB 1982

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

Question 18:

• JAMB 1982

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. \(\frac{(m^2 + n^2 + mn)}{m + n}\)

Question 19:

• JAMB 1982

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. M246₇
B. M242₇
C. M236₇
D. M341₇
E. M338₇

Question 20:

• JAMB 1982

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. \(\frac{2p^2q^2}{m(p^2)}\)