Three straight lines EF, GH and LK interest at O as shown above. If ∠KOF = \(52^\circ\) and ∠LOH = \(85^\circ\), calculate the size of ∠EOG.

Evaluate \( \frac{\left(81^{\frac{3}{4}}-27^{\frac{1}{3}}\right)}{3\times2^3} \)

From the diagram given, find the bearing of R from S

If 3214 is divided by 234 and leaves a remainder r, what is the value of r?

Three boys shared some oranges. The first received 1/3 of the oranges and the second received 2/3 of the remaining. If the third boy received the remaining 1...

If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\)

In the diagram above, O is the centre of the circle, If \( \angle UOT = 70^\circ \) and \( \angle RST = 100^\circ \). Calculate \( \angle RUO \)

If the interest on N150.00 for 21/2 years is N4.50, find the interest on N250.00 for 6 months at the same rate

Simplify 31/2 - (21/3 * 11/4) + 3/5