NOT DRAWN TO SCALE

In the diagram, is a chord of a circle with centre 0. 22.42 cm and the perimeter of triangle MON is 55.6 cm. Calculate, correct to the nearest degree. < MON.

(b) T is equidistant from P and Q. The bearing of P from T is 60\(^o\) and the bearing of Q from T is 130\(^o\).

(i) Illustrate the information on a diagram.

(ii) Find the bearing of Q from P.

The ages of a group of athletes are as follows: 18, 16. 18,20, 17, 16, 19, 17, 18, 17 and 13. (a) Find the range of the distribution.

(b) Draw a frequency distribution table for the data.

(c) What is the median age?

(d) Calculate, correct to two decimal places, the;

(i) mean age:

(ii) standard deviation.

A survey of 40 students showed that 23 students study Mathematics, 5 study Mathematics and Physics, 8 study Chemistry and Mathematics, 5 study Physics and Chemistry and 3 study all the three subjects. The number of students who study Physics only is twice the number who study Chemistry only.

(a) Find the number of students who study:

(i) only Physics.

(ii) only one subject

b) What is the probability that a student selected at random studies exactly 2 subjects?
 

a) A twenty - kilogram bag of rice is consumed by m number of boys in 10 days. When four more boys joined them, the same quantity of rice lasted only 8 days. If the rate of consumption is the same, find the value of m.

(b) If \(\frac{5}{6}\) of a number is 10 greater than \(\frac{1}{3}\) of it. find the number

(c) Find the equation of the line which passes through the points (2, \(\frac{1}{2}\)) and (-1, -\(\frac{1}{2}\)
 

A ladder 11m long leans against a vertical wall at an angle of 75\(^o\) to the ground. The ladder is the pushed 0.2 m up the wall.

(a) Illustrate the information in a diagram.

(b) Find correct to the nearest whole number, the:

(i) new angle which the ladder makes with the ground:

(ii) distance the foot of the ladder has moved from its original position.