A boy can dig a piece of land in three and a half hours while a girl can dig the same piece of land in five hours. How long would they take to dig the land if they worked together  (3mks)

A man left Ksh 1,865, 280 in his will to be shared between his spouse, daughter and son in the ratio 1:2:3. His spouse decided to divide her share equally between her daughter and son. Determine how much finally the son got.              (3mks)

Solve for x in the logarithmic equation     log₁₀ (3x + 4) = log₁₀ (3 – x) + 1               (3mks)

Given that S = 14.6cm and t = 5.68cm determine the percentage error in the product of St       (3mks)

In the triangle ABC below, AB = 6cm, BC = 10cm and angle ABC = 420. AM is an arc of a circle, circle B. Take pi = 3.142

Calculate the area of:

a) Triangle ABC                    (1mk)

b) The shaded portion of the ABC                    (3mks)

P (2,-1) and Q (6, 3) are points on a line. If R is the midpoint of PQ, find the:

a. Coordinates of R       (1mk)

b. Equation of the line through R perpendicular to PQ      (2mks)

A Kenyan bank buys and sells foreign currency as shown below: 

tourist arrives in Kenya with 280,000 Hong Kong dollars and changed the whole amount to KES. He spent KES 835,210 and exchanged the balance to S.A Rand before leaving. Calculate the amount in S.A Rand that she was left with.   (3mks)

Solve the equation below by completing the square method       (3mks)

Solve the simultaneous linear equations                                      (3mks)

Use logarithmic tables to evaluate                               (3mks)