Jamb Mathematics 1986 Past Questions and Answers

Question 31:

• JAMB 1986

If cos\(\theta\) = \(\frac{a}{b}\), find 1 + tan²\(\theta\)

A. \(\frac{b^2}{a^2}\)
B. \(\frac{a^2}{b^2}\)
C. \(\frac{a^2 + b^2}{b^2 - a^2}\)
D. \(\frac{2a^2 + b^2}{a^2 + b^2}\)

Question 32:

• JAMB 1986

A regular polygon of n sides has 160^o as the size of each interior angle. Find n

A. 18
B. 16
C. 14
D. 12

Question 33:

• JAMB 1986

A girl walks 45 meters in the direction 050^o from a point Q to a point X. She then walks 24 meters in the direction 140^o from X to a point Y. How far is she then from Q?

A. 69m
B. 57m
C. 51m
D. 21m

Question 34:

• JAMB 1986

An arc of a circle of radius 6cm is 8cm long. Find the area of the sector

A. 5\(\frac{1}{3}\)cm²
B. 24cm²
C. 36cm²
D. 84cm²

Question 35:

• JAMB 1986

Find the total surface area of solid cone of radius 2\(\sqrt{3}\)cm and slanting side 4\(\sqrt{3}\)

A. 8\(\sqrt{3}\pi \)cm²
B. 24\(\pi \)cm²
C. 15\(\sqrt{3}\pi \)cm²
D. 36\(\pi \)cm²