Mathematics Past Questions and Answers

If \(\frac {3 - \sqrt 3}{2 + \sqrt 3} = a + b\sqrt 3\), what are the values a and b?

Find the value of t, if the distance between the points P(–3, –14) and Q(t, –5) is 9 units.

At simple interest, a man made a deposit of some money in the bank. The amount in his bank account after 10 years is three times the money deposited. If the interest rate stays the same, after how many years will the amount be five times the money deposited?

Evaluate the following limit: \(lim_{x\to2} \frac {x^2 + 4x - 12}{x^2 - 2x}\)

The ages of students in a small primary school were recorded in the table below.

Age	5 - 6	7 - 8	9 -10
Frequency	29	40	38

Estimate the mean