Mathematics Past Questions and Answers

Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed of Y is 60km per hour and x arrives at P 25 minutes earlier than Y. What is the average speed of X?

A 51\(\frac{3}{7}\)km per hour
B 72km per hour
C 37\(\frac{1}{2}\) km per hour
D 66km per hour
E 75km per hour

Question 27:

simplify \(\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}\)

A 3²ⁿ
B 3 x 2^{3n - 1}
C 2ⁿ
D 6
E 1

Question 28:

The number 25 when converted from the tens and units base to the binary base (base two) is one of the following

A 10011
B 111011
C 111000
D 11001
E 110011

Question 29:

Evaluate \(\frac{6.3 \times 10^5}{8.1 \times 10^3}\) to 3 significant fiqures

A 77.80
B 778.0
C 7.870
D 8.770
E 88.70

Question 30:

The positive root of t in the following equation, 4t2 + 7t - 1 = 0, correct to 4 places of decimal, is

A 1.0622
B 10.6225
C 0.1328
D 0.3218
E 2.0132