All prime numbers less than ten are arranged in

11. All prime numbers less than ten are arranged in descending order to form a number.
a. Write down the number formed. (1 marks)
b. State the total value of the second digit in the number formed in (a) above. (1 mark)
12. Solve the inequality 3 – 2x < x ≤ 2x + 5 and show the solution on the number line. (4 marks)
3
13. In the figure below, ABCDE is a regular pentagon and ABF is an equilateral triangle.
5

Find the size of
14. KCB buys and sells foreign currencies as shown.
Buying
(Ksh)
Selling
(Ksh)
1 Hong kong dollar 9.74 9.77
1 South African rand 12.03 12.11
A tourist arrived in Kenya with 105,000 Hong Kong dollars and changed the whole amount to
Kenya shillings. While in Kenya, she spent sh 403879 and changed the balance to South
African rand before leaving for South African. Calculate the amount, in South African rand,
that she received. (3 marks)
15. A line with gradient of -3 passes through the points (3,k) and (k,8). Find the value of k and
hence express the equation of the line in the form ax +by = c, where a, b and c are constants.
(3 marks)
6

16. Two points P and Q have coordinates (-2,3) and (1,3) respectively. A translation maps point P to
P
1
(10,10)
a. Find the coordinates of Q 1 , the image of Q under the translation. (1 mark)
b. The position vectors of P and Q in (a) above are p and q respectively. Given that
mp – nq = -12 find the values of m and n
9 (3 marks)
SECTION II (50 MARKS)
Answer any five questions from this section