In the diagram, O is the centre of the circle and PQ is a diameter. Triangle RSO is an equilateral triangle of side 4cm. Find the area of the shaded region

Evaluate \((111_{two})^2\) and leave your answer in base 2

Find the LCM of \(2^{3}\times 3\times 5^{2}, 2\times 3^{2}\times 5 \hspace{1mm}and \hspace{1mm}2^{2}\times 3^{2}\times 5\)

Which of the following is true for the set \(P = \{-3.2\leq x< 5\}\) where x is an integer

N140,000 is shared between ABU, Kayode and Uche. Abu has twice as much as Kayode, and Kayode has twice as much as Uche. What is Kayode's share?

If \(p\propto \frac{1}{q}\), which of the following is true?

Simplify \(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)leaving your answer in surd form

Simplify\(\frac{3x^{3}}{(3x)^{3}}\)

Simplify \((0.3\times 10^{5})\div (0.4\times 10^{7})\)leaving your answer in standard form