In the diagram, \(\overline{PS}\)/\(\overline{SR}\), \(\overline{PS}\)/\(\overline{TR}\), \(\overline{QS}\)/\(\overline{UR}\), \(\overline{PS}\) = 15cm, \(\overline{SR}\) = 8cm, \(\overline{PS}\) = 10cm and area of \(\triangle\) SUR = 24cm\(^2\). Calculate the area of PTRS.

A. 40 cm\(^2\)

B. 48 cm\(^2\)

C. 80 cm\(^2\)

D. 120 cm\(^2\)

In the diagram, PQR is a circle with centre O. If < OPQ = 48\(^o\), find the value of m

A. 96\(^o\)

B. 90\(^o\)

C. 68\(^o\)

D. 42\(^o\)

The pie chart shows the population of men, women, and children in a city. If the population of the city is 1,800,000, how many men are in the city?

A. 845,000

B. 600,000

C. 355,000

D. 250,000

The mean of the numbers 15, 21, 17, 26, 18, and 29 is 21. Calculate the standard deviation

A. 9

B. 6

C. 5

In the diagram, O is the centre of the circle. SOQ is the diameter and < SRP = 37\(^o\). Find < PSQ.

A. 127\(^o\)

B. 65\(^o\)

C. 53\(^o\)

D. 37\(^o\)

Find the sum of the interior angle of a pentagon.

A. 340\(^o\)

B. 350\(^o\)

C. 540\(^o\)

D. 550\(^o\)

The diameter of a sphere is 12 cm. Calculate, correct of the nearest cm\(^3\), the volume of the sphere, [Take \(\pi = \frac{22}{7}\)]

A. 903 cm\(^3\)

B. 904 cm\(^3\)

C. 905 cm\(^3\)

D. 906 cm\(^3\)

A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If a ball is selected at random from the box, what is the probability that it is green?

A. \(\frac{3}{4}\)

B. \(\frac{1}{2}\)

C. \(\frac{1}{3}\)

D. \(\frac{1}{4}\)

A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If two balls are selected at random one after the other with replacement, what is the probability that both are red?

A. \(\frac{25}{144}\)

B. \(\frac{5}{33}\)

C. \(\frac{5}{6}\)

D. \(\frac{103}{132}\)

In the diagram PQ is a straight line. If m = \(\frac{1}{2}\) (x + y + z), find value of m.

A. 45\(^o\)

B. 60\(^o\)

C. 90\(^o\)

D. 100\(^o\)