Further Mathematics Past Questions and Answers

Find the value of p for which \(x^{2} - x + p\) becomes a perfect square.

The polynomial \(2x^{3} + 3x^{2} + qx - 1\) has the same reminder when divided by \((x + 2)\) and \((x - 1)\). Find the value of the constant q.

Marks	5 - 7	8 - 10	11 - 13	14 - 16	17 - 19	20 - 22
Frequency	4	7	26	41	14	8

The table above shows the marks obtained by 100 pupils in a test. Find the upper class boundary of the class containing the third quartile.

Marks	5 - 7	8 - 10	11 - 13	14 - 16	17 - 19	20 - 22
Frequency	4	7	26	41	14	8

The table above shows the marks obtained by 100 pupils in a test. Find the probability that a student picked at random scored at least 14 marks.

How many ways can 12 people be divided into three groups of 2, 7 and 3 in that order?