Further Mathematics Past Questions and Answers

The first term of an AP is 4 and the sum of the first three terms is 18. Find the product of the first three terms

A committee consists of 6 boys and 4 girls. In how many ways can a sub-committee consisting of 3 boys and 2 girls be formed if one particular boy and one particular girl must be on the sub-committee?

If √5 cosx + √15sinx = 0, for 0° < x < 360°, find the values of x.

The polynomial f(x) =2x\(^3\) + px+ qx - 5 has (x-1) as a factor and a remainder of 27 when divided by (x + 2), where p and q are constants. Find the values of p and q.

Evaluate: \(^9{∫}_1\) \(\frac{x(2x-3)}{√x}\) dx