Mathematics Past Questions and Answers

Given that \(a = i - 3j\) and \(b = -2i + 5j\) and \(c = 3i - j\), calculate \(|a - b + c|\).

A \(\sqrt{13}\)
B \(3\sqrt{13}\)
C \(6\sqrt{13}\)
D \(9\sqrt{13}\)

Question 212:

What is the probability of obtaining a head and a six when a fair coin and and a die are tossed together?

A \(\frac{1}{12}\)
B \(\frac{1}{3}\)
C \(\frac{1}{2}\)
D \(\frac{2}{3}\)

Question 213:

If \(\overrightarrow{OX} = \begin{pmatrix} -7 \\ 6 \end{pmatrix}\) and \(\overrightarrow{OY} = \begin{pmatrix} 16 \\ -11 \end{pmatrix}\), find \(\overrightarrow{YX}\).

A \(\begin{pmatrix} 9 \\ -5 \end{pmatrix}\)
B \(\begin{pmatrix} -23 \\ -5 \end{pmatrix}\)
C \(\begin{pmatrix} 9 \\ 17 \end{pmatrix}\)
D \(\begin{pmatrix} -23 \\ 17 \end{pmatrix}\)

Question 214:

A body of mass 28g, initially at rest is acted upon by a force, F Newtons. If it attains a velocity of \(5.4ms^{-1}\) in 18 seconds, find the value of F.

A 0.0082N
B 0.0084N
C 0.082N
D 0.084N

Question 215:

Find the stationary point of the curve \(y = 3x^{2} - 2x^{3}\).

A (1, 0)
B (-1, 0)
C (1, 1)
D (-1, -1)