Write r in terms of u, y, p and t                                        (3mks)

Three quantities A, B and C are such that A varies directly as B and inversely as the square root of C. Find the percentage decrease in A if B decreases by 5.2% and C increases by 44%.     (3mks)

Find the percentage error in evaluating (a + b) - c, if a = 3.2 cm, b = 5cm and c = 2.0cm, leaving your answer to the nearest 4 s.f     (3mks)

A two digit number is made by combining any two of the digits 1, 3, 5, 7, 9 at random.

a) Write down all the possible outcomes.              (1mk)

b) Find the probability that the number is prime.       (1mk)

(a) Expand (1 – ¹/₂x) ⁵ in ascending powers of x leaving the coefficients as fractions in their simplest form.       (2mks)

(b) Using the first three terms in the expansion in (a) above, estimate the value of ( ¹⁹/₂₀) ⁵     (2mks)

The n^th term of G.P is given by 5 x 2^n-2

(i) Write down the first 4 terms of the G.P            (1mark)

(ii) Calculate the sum of the first 6 terms.             (2marks)

The gradient of a curve at point (x,y) is 4x - 6. The curve has a minimum value at 5¹/₂ . Find the equation of the curve.                      (3mks)

Kapsabet Boys’ handball team scored the following goals in 6 matches; 10, 8, 14, 16, 6 and 18. Using assumed mean of 12, determine the standard deviation leaving your answer to 2 d.p.     (3mks)

If OA = , OB = . P divides AB externally in the ratio 2:1. Find the coordinates of P.        (3mks)

Using logarithms, evaluate                                      (4mks)