In the diagram, RP is a diameter of the circle RSP, RP  is produced to T and TS is a tangent to the circle at S. If $\angle PRS={{24}^{\circ }}$, Calculate the value of $\angle STR$

The graph of $a{{x}^{2}}+bx+c$ is shown in the diagram. Find the minimum of y

A circular pond of radius 4m has a path of with  2.5m round it. Find, correct to two decimal places, the area of the path[Take $\pi =\tfrac{22}{7}$ ]

Calculate the variance 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9

If the simple interest on a certain amount saved in a bank for 5 years at 2½% per annum is N500.00, calculate the total amount due after 6 years at the same rate.

Two bottles are drawn with replacement a crate containing 8 coke, 12 fanta and 4 sprite bottles. What is the probability that the first is coke and the second is not coke?

Find the value of m in the diagram

Given that $t={{2}^{-x}}$ find ${{2}^{x+1}}$ in terms of t

Consider the statements:

p:  it is hot

q: it is raining

Which of the following symbols correctly represents the statement “ It is raining if and only if it is cold”

Make x the subject of the formula $d=\sqrt{\frac{6}{x}-\frac{y}{2}}$