An irregular polygon has n sides. Its interior angles are such that two of them are right angles while the exterior of each of the remaining angles is 30⁰. Find the value of n and hence the sum of the interior angles of the polygon.               (3 mks)

A train moving at 120 km/h approaches a bridge 50 m long which is 120 m away. If the train takes 9 seconds to completely cross the bridge, determine the length of the train in metres.            (3 mks)

Sarah, a saleslady earns a basic salary of Ksh. 25,000 and a commission of 7.5% for the sales in excess of Ksh. 100,000. In May 2023 she earned a total of Ksh. 48,700 in salaries and commissions. Determine the amount of sales that she made in that month.      (3 mks)

The figure below shows part of a circle that touches the side LM externally and tangentially at a point T.

(a) Using a ruler and a pair of compasses only, locate the point T on LM.             (2 mks)

(b) Measure the radius of the circle.                        (1 mk)

Simplify the expression                       (3 mks)

Ruth paid rent which was ¹/₁₀ of her net salary. She used ¹/₃ of the remaining amount to make a down payment for a plot. She gave mother Ksh. 2,500 and did shopping worth Ksh. 7,500 herself. She saved the remainder which was Ksh. 12,500. How much was the down payment that she made?              (3 mks)

A photograph print measures 24 cm by 15 cm is enclosed in a frame. A uniform space of width x cm is left between the edges of the photograph and the frame. If the area of the space is 270 cm², find the value of x.        (4 mks)

Solve for x in the equation                                          (3 mks)

Three business partners, Bela Joan and Trinity contributed Kshs 112,000, Ksh,128,000 and ksh,210,000 respectively to start a business. They agreed to share their profit as follows:

30% to be shared equally

30% to be shared in the ratio of their contributions

40%  to be retained for running the business.

 If  at the end of the year, the business realized a profit of ksh 1.35 Million. Calculate:

(a) The amount of money retained for the running of the business at the end of the year.     (1mk)

(b) The difference between the amounts received by Trinity and Bela              (6mks)

(c) Express Joan’s share as a percentage of the total amount of money shared between the three partners.   (3mks)

   A Kenyan bank buys and sells foreign currency as shown below.
                                           Buying                       Selling
                                        Kenya shillings          Kenya shillings
1 Euro                                    84.15                       84.26
1 US Dollar                            80.12                       80.43
A tourist travelling from Britain arrives in Kenya with 5000 Euros. He converts all the Euros to Kenya Shillings at the bank. While in Kenya he spends a total of KSh. 289,850 and then converts the remaining Kenya shillings to US dollars at the bank. Calculate (to nearest dollar) the amount he receives?             (3mks)