In the diagram, GI is a tangent to the circle at H. If EF||GI, calculate the size of ∠EHF.

Evaluate \(5^{-3}\log^{2} \times 2^{2\log 3}\)

Find the values of x for which \( \frac{x+2}{4} - \frac{2x-3}{3} < 4 \)

A trader realises 10x - x\(^{2}\) Naira profit from the sale of x bags of corn. How many bags will give him the maximum profit?

If \(y = 23_{\text{five}} + 101_{\text{three}}\), find \(y\), leaving your answer in base two

If \[ N=\begin{pmatrix}3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1\end{pmatrix} \] , find \(|N|\).

In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker sp...

If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6.