Calculate the value of Y in the diagram

A. 18^o

B. 42^o

C. 48^o

D. 132^o

In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.

A. 20^o

B. 25^o

C. 30^o

D. 50^o

Given that m = -3 and n = 2 find the value of \(\frac{3n^2 - 2m^3}{m}\)

A. -22

B. -14

C. 14

D. 22

Simplify \(\frac{2-18m^2}{1+3m}\)

A. \(2(1+3m)\)

B. \(2(1+3m^2)\)

C. \(2(1-3m)\)

D. \(2(1-3m^2)\)

If \(y = \sqrt{ax-b}\) express x in terms of y, a and b

A. \(x = \frac{y^2-b}{a}\)

B. \(x = \frac{y+b}{a}\)

C. \(x = \frac{y-b}{a}\)

D. \(x = \frac{y^2 + b}{a}\)

Given that \(81\times 2^{2n-2} = K, find \sqrt{K}\)

A. \(4.5\times 2^{n}\)

B. \(4.5\times 2^{2n}\)

C. \(9\times 2^{n-1}\)

D. \(9\times 2^{2n}\)

Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)

A. \(\frac{x+7}{x^2 - 1}\)

B. \(\frac{x-7}{x^2 + 1}\)

C. \(\frac{x-7}{x^2 - 1}\)

D. \(\frac{x-11}{x^2 - 1}\)

If y varies inversely as x\(^2\), how does x vary with y?

A. x varies inversely as y²

B. x varies inversely as y

C. x varies directly as y²

D. x varies directly as y

If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such that \(0^o \leq x \leq 90^o\)

A. \(\frac{\sqrt{3}+1}{2}\)

B. \(\frac{2}{\sqrt{3}+1}\)

C. \(\frac{\sqrt{3}-1}{2}\)

D. \(\frac{2}{\sqrt{3}-1}\)

From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff

A. 14.9 ^o

B. 15.5 ^o

C. 74.5 ^o

D. 75.1 ^o