KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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The ratio of the lengths of the corresponding sides of two similar rectangular water tanks is 3:5. The volume of the smaller tank is 8.1 m3. Calculate the volume of the larger tank.3 MARKS A translation maps a point (1, 2) onto) (-2, 2) . What would be the coordinates of the object whose image is (-3, -3) under the same translation? 2 MARKS Calculate volume of a prism whose length is 25 cm and whose cross- section is an equilateral triangles of 3 cm.3 MARKS The tables shows the yearly percentage taxations ratesCalculate three- yearly moving averages for the data giving answers to s.f. (3 marks) A bus takes 195 minutes to travel a distance of ( 2x + 30) km at an average speed of ( x – 20) km/h. Calculate the actual distance traveled. Give your answers in kilometres.( 3 marks) The cash prize of a television is Kshs 25000. A customer paid a deposits of Kshs 3750. He repaid the amount owing in 24 equal monthly installments. If he was charged simple interest at the rate of 40% p.a, how much was each installment?( 4 marks) In the diagram below ∠CAD, = 200, ∠AFE = 1200 and BCDF is a cyclic quadrilateral. Find ∠FED.(3 marks) Water flows from a tap. At the rate 27 cm3 per second, into a rectangular container of length 60 cm, breath 30 cm and height 40 cm. If at 6.00 p.m. the container was half full, what will be the height of water at 6.04 pm?​ (3 marks) A clothes dealer sold 3 shirts and 2 trousers for Kshs. 840 and 4 shirts and 5 trousers for Kshs 1680. Form a matrix equation to represent the above information. Hence find the cost of 1 shirt and the cost of 1 trouser.( 4 marks) Akinyi bought maize and beans from a wholesaler. She then mixed the maize and beans the ratio 4:3 she bought the maize as Kshs. 12 per kg and the beans Kshs. 4 per kg. If she was to make a profit of 30% what should be the selling price of 1 kg of the mixture?( 4 marks) The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the arithmetic progression.4 MARKS
4 MARKS
4 MARKS
2 MARKS Manyatta village is 74 km North West of Nyangata village. Chamwe village is 42 km west of Nyangate. By using an appropriate scale drawing, find the bearing of Chamwe from Manyatta.2 MARKS
Estimate the median absentee rate per week in the school 2 MARKS Without using logarithms tables evaluate
3 MARKS |
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