Mathematics Past Questions and Answers

A man's eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.

A 33^o
B 32^o
C 27^o
D 26^o

Question 1562:

A chord subtends an angle of 120^o at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord, [Take \(\pi = \frac{22}{7}\)]

A 14\(\frac{1}{3}\)cm
B 12\(\frac{5}{6}\)cm
C 8\(\frac{1}{7}\)cm
D 7\(\frac{1}{3}\)cm

Question 1563:

In parallelogram PQRS, QR is produced to M such that |QR| = |RM|. What fraction of the area of PQMS is the area of PRMS?

A \(\frac{1}{4}\)
B \(\frac{1}{3}\)
C \(\frac{2}{3}\)
D \(\frac{3}{4}\)

Question 1564:

In a cumulative frequency graph, the lower quartile is 18 years while the 60th percentile is 48 years. What percentage of the distribution is at most 18 years or greater than 48 years?

A 15%
B 35%
C 65%
D 85%

Question 1565:

If a number is selected at random from each of the sets p = {1, 2, 3} and Q = {2, 3, 5}, find the probability that the sum of the numbers is prime

A \(\frac{5}{9}\)
B 1\(\frac{4}{9}\)
C \(\frac{1}{3}\)
D \(\frac{2}{9}\)