Mathematics Past Questions and Answers

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 752:

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

Question 753:

In a triangle PQT, QR = \(\sqrt{3}cm\), PR = 3cm, PQ = \(2\sqrt{3}\)cm and PQR = 30o. Find angles P and R

A P = 60^o and R = 90^o
B P = 30^o and R = 120^o
C P = 90^o and R = 60^o
D P = 60^o and R 60^o
E P = 45^o and R = 105^o

Question 754:

Find the mean of the following 24.57, 25.63, 24.32, 26.01, 25.77

A 25.12
B 25.30
C 25.26
D 25.50
E 25.75

Question 755:

A man drove for 4 hours at a certain speed, he then doubled his speed and drove for another 3 hours. Although he covered 600 kilometers. At what speed did he drive for the last 3 hours?

A 120km/hr
B 60km/hr
C 670km/hr
D 40km/hr