- Evaluate ( 2 marks)
- The production of milk, in litres, of 14 cows on a certain day was recorded as follows:

22,26,15,19,20,16,27,15,19,22,21,20,22 and 28.

Determine:- the mode (1 mark)
- the median (2 marks)

- Use logarithms, correct to 4 decimal places, to evaluate:

(4 marks) - Simplify the expression

(3 marks) - A wholesaler sold a radio to a retailer making a profit of 20%. The retailer later sold the radio for Ksh 1,560 making a profit of 30%. Calculate the amount of money the wholesaler had paid for the radio. (3 marks)
- A point P on the line AB shown below is such that AP =
^{2}/_{7}AB. By construction, locate P. (3 marks) - Chelimo's clock loses 15 seconds every hour. She sets the correct time on the clock at 0700h on a Monday. Determine the time shown on the clock when the correct time was 1900h on Wednesday the same week. (3 marks)
- Given that sin(x + 20)° = - 0.7660 find x, to the nearest degree, for 0° ≤ x ≤ 360° . (3 marks)
- A number m is formed by writing all the prime numbers between 0 and 10 in an ascending order. Another number n is formed by writing all the square numbers between 0 and 10 in descending order.
- Find m-n (2 marks)
- Express (m-n) as a product of its prime factors (1 mark)
- The figure below shows a net of a solid. (Measurements are in centimetres).

- The figure below shows a net of a solid. (Measurements are in centimetres).

Below is a part of the sketch of the solid whose net is shown above.

Complete the sketch of the solid, showing the hidden edges with broken lines. (3 marks) - The interior angles of an octagon are 2x, ½x,(x + 40)°, 110°, 135°, 160°, (2x + 10)° and 185°. Find the value of x. (2 marks)
- A straight line passes through the points (-2,1) and (6,3).

Find:- the equation of the line in the form y = mx + c; (2 marks)
- the gradient of a line perpendicular to the line in (a). (1 mark)

- A triangle ABC is such that AP = 5cm, BC = 6cm and AC = 7cm.
- Calculate the size of angle ACB, correct to 2 decimal places (2 marks)
- A perpendicular drawn from A meets BC at N. Calculate the length AN correct to one decimal place (2 marks)

- A cylindrical pipe 2½ metres long has an internal diameter of 21 millimetres and an external diameter of 35 millimetres. The density of the material that makes the pipe is 1.25 g/cm
^{3}. Calculate the mass of the pipe in kilograms. (Take π =^{22}/_{7}) (4 marks) - The figure below represents a pentagonal prism of length 12cm. The cross-section is a regular pentagon of side 5cm.

Calculate the surface area of the prism correct to 4 significant figures. (4 marks) - Given the inequalities x-5 <= 3x-8 < 2x-3
- Solve the inequalities; (2 marks)
- represent the solution on a number line

**SECTION II** (50 marks)*Answer only five questions in this section in the spaces provided*