17:34-2/01/2%AMussa: Esther 5:8. Find the a ratio which was bought for 480,000/ find the ratio of Anna: Esther.(b) A shopkeeper makes a 20% profit by selling a radio which was bought for 480,000/. Find sellingprice.15. (a) The 20th term of an arithmetic progression is 60 and 16th term is 20. Find the sum of the first 40*******terms(b) Peter saved Tshs. 6,000,000/ in a saving bank whose interest rate was 10%compounded annually. Find the amount of money in the account after 5 years.16. (a) A line whose gradient is passes through the point ( find the equation of the line in the form of(b) In a class of 15 pupils, 10 know how to ride a bicycle, 8know how to swim and 2 do not knoweither to ride a bicycle or how to swim. How many pupils in this class know how to ride a bicycle andto swim?Marks17. (a) Find the value of the following without using mathematical tables(b) An observer on top of a cliff 30cm above sea level, view a ship on the sea level at at an angle ofdepression of 45°. Find how far is the ship from the foot of the cliff.18. (a) Factorize the quadratic expression(b) Solve by factorization19. (a) Carefully study the frequency distribution table which shows the marks of 40 students in amathematics examination.Number ofstudentsCalculate:45-49 50-54235cmi) The mean using assumed mean 62ii) Estimate the mode from histogramEH1201)55-59 60-64 65-69 70-74 75-79 80-8463cm8cmi) Draw the graph of f(x)(b) Find the length of the tagent AP in the figure below, given that O is the centre of the circle,rcm and PC20. The following diagram shows a rectangular block. AG 12cm and BC. Calculatei) Length of GCii) Angle GCIFGtoB96eomLTE5-P4385-89221. A boat sails from point A (10°N, 18°E) and B (10°N, 32°W). If the radius of the earth is 6400km. Findthe distance from point A and B in kilometer ()22. Solve the following system of simultaneous equation by using matrix method23. Find the image of B (-4, -1) after a reflection in the line x 0 (using matrix)24. A baker bakes bread and cakes. He has 150 unist of A, 90 units of B and 150 units of C. One breadrequire 1 unit of A, 1 units of B and 2 units of C. Find his maximum income if a bread sells for Tshs.350/ and a cake sells for Tshs. 500/25. Given that f(x)

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15. (a) The 20th term of an arithmetic progression is 60 and 16h term is 20. Find the sum of the first 40 terms (b) Peter saved Tshs. 6,000,000/ in a saving bank whose interest rate was 10% compounded annually. Find the amount of money in the account after 5 years.