Further Mathematics Past Questions and Answers

Find the least value of n for which \(^{3n}C_{2} > 0, n \in R\).

If \(\overrightarrow{OA} = 3i + 4j\) and \(\overrightarrow{OB} = 5i - 6j \) where O is the origin and M is the midpoint of AB, find OM.

Find the direction cosines of the vector \(4i - 3j\).

Yomi was asked to label four seats S, R, P, Q. What is the probability he labelled them in alphabetical order?

Two forces (2i - 5j)N and (-3i + 4j)N act on a body of mass 5kg. Find in \(ms^{-2}\), the magnitude of the acceleration of the body.