Mathematics Past Questions and Answers

F x varies inversely as y and y varies directly as Z, what is the relationship between x and z?

Find the gradient of the line joining the points (2, -3) and 2, 5)

If (x - a) is a factor pf bx - ax + x², find the other factor.

\(\begin{array}{c|c}height & 2 & 3 & 4 & 5 & 6 \\ \hline frequency & 2 & 4 & 5 & 3 & 1
\end{array}\)
The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants.

The area of a sector a circle with diameter 12cm is 66cm². If the sector is folded to form a cone, calculate the radius of the base of the cone [Take \(\pi = \frac{22}{7}\)]