Waec Further Mathematics Past Questions and Answers

Question 421:

• WAEC 2010

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

A. \(\frac{1}{3}\)
B. \(\frac{1}{6}\)
C. \(\frac{2}{3}\)
D. 1

Question 422:

• WAEC 2010

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

A. -2i - 10j
B. -2i + 2j
C. 4i - j
D. 4i + j

Question 423:

• WAEC 2010

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

A. \(\frac{9}{10}, \frac{27}{10}\)
B. \(\frac{17}{27}, -\frac{17}{27}\)
C. \(\frac{4}{5}, -\frac{3}{5}\)
D. \(\frac{4}{7}, \frac{-3}{7}\)

Question 424:

• WAEC 2010

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

A. \(\frac{1}{24}\)
B. \(\frac{1}{6}\)
C. \(\frac{2}{13}\)
D. \(\frac{1}{4}\)

Question 425:

• WAEC 2010

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.

A. \(\frac{\sqrt{2}}{5}\)
B. \(5\sqrt{2}\)
C. \(2\sqrt{5}\)
D. \(\frac{5\sqrt{2}}{2}\)