The line below shows a diagonal of a rhombus PQRS. Given that QS=5 cm, complete the rhombus. Hence find the PQ.                    (3 marks)

Solve for  in the equation               (4 marks)

Nerry paid  Kshs. 955,000 for a car at Sammy Traders. This was a discount of 4.5%. Sammy Traders made a profit of 16% from this sale. What is the amount of profit that Sammy Traders realized from this sale? Give your answer to the nearest Kshs. 100.                                (4 marks)

The position vectors of points A and B are 2i-3j+9k  and -5i+k  respectively. Calculate \AB\ , leaving your answer in surd form.              (4 marks)

A saleslady earns a commission of 3% and 5% for sale of goods up to Kshs. 100,000 and above Kshs. 100,000 respectively. In a certain month. Sarah’s total commission was Kshs. 15,100. Calculate the value of goods that Sarah sold that month.                               (3 marks)

Simplify the expression                                                           (3 marks)

Rodi walked from Kisian to Otonglo, a distance of 8 km for 1½ hours. He then took a motorbike to Rabuor that traveled at a speed of 80 km/h and took 15 minutes. From Rabuor, he boarded a car to Kendu Bay, 60 km away and took 45 minutes to arrive in Kendu Bay. Calculate his average velocity for the whole journey.                           (3 marks)

Find the inequalities that satisfy the region labeled R in the figure below.

The sum of the interior angles of a regular polygon is 1260⁰. Find the number of sides of the polygon, hence give the name of the polygon.                                    (3 mks)

Complete the figure below to show a rotational symmetry of order 6 about O.        (3 marks)