Mathematics Past Questions and Answers

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:

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:

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:

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:

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