Mathematics Past Questions and Answers

A ship H leaves a port P and sails 30 km due south. Then it sails 50km due west. What is the bearing of H from P?

A 20^o 34'
B 243^o 26'
C 116^o 34'
D 63^o 26'
E 240^o 56'

Question 32:

In a sample survey of a University Community, the following table shows the percentage distribution of the number of members per house hold
\(\begin{array}{c|c} \text{No. of members per household} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & \text{Total} \\ \hline \text{No. of households} & 3 & 12 & 15 & 28 & 21 & 10 & 7 & 4 & 100\end{array}\)
What is the median?

A 4
B 3
C 5
D 4.5
E None

Question 33:

On a square paper of length 2.524375cm is inscribed square diagram of length 0.524375cm. Find the area of the paper not covered by the diagram. correct to 3 significant figures.

A 6.00cm²
B 6.10cm²
C 6cmv
D 6.09cm²
E 4.00cm²

Question 34:

Simplify \(\sqrt[3]{\frac{27a^{-9}}{8}}\).

A \(\frac{9a^2}{2a^3}\)
B \(\frac{3}{2a^3}\)
C \(\frac{2}{3a^2}\)
D \(\frac{3a^2}{2}\)

Question 35:

PQR is the diagram of a semicircle RSP with centre at Q and radius of length 3.5cm. If QPT = 60^o. Find the perimeter of the figure PTRS. \(\pi\) = \(\frac{22}{7}\)

A 25cm
B 18cm
C 36cm
D 29cm
E 25.5cm