KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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QUESTION 17  KCSE 2021  COMPOUND PROPORTIONS AND RATES OF WORK  PAPER 2  FORM 3 LEVELPump P can fill an empty water tank in 7 1/2 hours while pump Q can fill the same tank in 11 1/4 hours. On a certain day, when the tank was empty, both pumps were opened for 2 1/2 hours.
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QUESTION 1  KCSE 2021  Compound proportions and rates of work  PAPER 2  FORM 4 LEVELAn empty tank of capacity 18480 litres is to be filled with water using a cylindrical pipe of diameter 0.028 m. The rate of flow of water from the pipe is 2 m/s. Find the time in hours it would take to fill up the tank. (Take π = 22/7). (3 marks)
QUESTION 17  KCSE 2022  COMPOUND PROPORTIONS AND RATES OF WORK  PAPER 2  FORM 3 LEVELA wholesaler stocks two types of rice: Refu and Tamu. The wholesale prices of 1 kg of Refu and 1 kg of Tamu are Ksh 80 and Ksh 140 respectively. The wholesaler also stocks blend A rice which is a mixture of Refu and Tamu rice mixed in the ratio 3: 2.
Two machines A and B working independently can take 8 hours and 10 hours respectively to do a task18/12/2023 QUESTION 2  KCSE 2022  COMPOUND PROPORTIONS AND RATES OF WORK  PAPER 2  FORM 3 LEVELTwo machines A and B working independently can take 8 hours and 10 hours respectively to do a task. A third machine C and machine A working together can do the same task in 5 hours. Determine the time it would take machine B and machine C working together to do the same task. 3 marks
A FARMER HAS TWO TRACTORS P AND Q. TRACTOR P, WORKING ALONE, CAN PLOUGH A PIECE OF LAND IN 5 HOURS WHILE TRACTOR Q WOULD TAKE ON AND TWOTHIRDS HOURS LESS THAN TRACTOR P.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 17A flour milling company has two types of flour for making porridge; maize flour and millet flour. Maize flour costs Ksh 60 per kilogram and millet flour costs Ksh 90 per kilogram. The milling company makes a new brand of flour by mixing maize flour and millet flour. If the new brand costs ksh 85 per kilogram, determine the percentage of maize flour in the mixture. (3 marks)
KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 1
Seven people can build five huts in 30 days. Find the number of people, working at the same rate that will build 9 similar huts in 27days. (3mks)A coffee dealer mixes two brands of coffee, x and y, to obtain 40kg of the mixture worth Ksh. 65 per kg. If brand x is valued at Ksh. 70 per kg and brand y at ks.55 per kg. Calculate the ratio, in its simplest form, in which the brands x and y are mixed. (2mks)Five men each working 10hrs a day take two days to cultivate one acre of land. How long will two men each working six hours a day, take to cultivate three acres of land. (3mks)questionA industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure so as to obtain a mixture which is 75% pure. Find the amount of the 90% pure chemical used. (3 Marks) answerForm 3 Mathematics
Farmer has two tractors A and B. The tractors, working together can plough a farm in 2 1/2h. One day, the tractors started to plough the farm together. After 1 h 10 min tractor B broke down but A continued alone and completed the job after a further 4 h.
Find:
Form 3 Mathematics
A group of 5 people can do a piece of work in 6 hours. Calculate the time a group of people. Working at half the rate of the first group would take to complete the same work.
Form 1 Mathematics
A cow is 4 years 8 months older than a heifer. The product of their ages is 8 years. Determine the age of the cow and that of the heifer.
Form 1 Mathematics
a) A trader deals in two types of rice; type A and with 50 bags of type B. If
he sells the mixture at a profit of 20%, calculate the selling price of one bag of the mixture. b) The trader now mixes type A with type B in the ratio x: y respectively. If the cost of the mixture is Ksh 383.50 per bag, find the ratio x: y. c) The trader mixes one bag of the mixture in part (a) with one bag of the mixture in part (b). Calculate the ratio of type A rice to type B rice in this mixture. Form 1 Mathematics
a) The ratio of Juma's and Akinyi's earnings was 5:3 Juma's earnings rose to Ksh 8400 after an increase of 12%.
Calculate the percentage increase in Akinyi's earnings given that the sum of their new earnings was Ksh. 14100. b) Juma and Akinyi contributed all the new earnings to buy maize at Ksh 1175 per bag. The maize was then sold at Ksh 1762.50 per bag. The two shared all the money from the sales of the maize in the ratio of their contributions. Calculate the amount that Akinyi got. Form 1 Mathematics
A tank has two inlet taps P and Q and an outlet tap R. when empty, the tank can be filled by tap P alone in 4 ½ hours or by tap Q alone in 3 hours. When full, the tank can be emptied in 2 hours by tap R.
(a) The tank is initially empty. Find how long it would take to fill up the tank (i) If tap R is closed and taps P and Q are opened at the same time (ii) If all the three taps are opened at the same time (b) The tank is initially empty and the three taps are opened as follows P at 8.00 a.m Q at 8.45 a.m R at 9.00 a.m (i) Find the fraction of the tank that would be filled by 9.00 a.m (ii) Find the time the tank would be fully filled up Form 1 Mathematics
Three business partners: Asha Nangila and Cherop contributed Kshs 60,000, Kshs 85,000 and Kshs 105 000 respectively. They agreed to put 25% of the profit back into business each year. Thay also agreed to put aside 40% of the remaining profit to cater for taxes and insurance. The rest of the profit would then be shared among the partners in the ration of their contributions. At the end of the first year, the business realized a gross profit of Kshs 225 000
(a) Calculate the amount of money Cherop received more than Asha at the end of the first year (b) Nangila further invested Kshs 25,000 into the business at the beginning of the second year. Given that the gross profit at the end of the second year increased in the ratio 10: 9, calculate Nangila's share of the profit at the end of the second year. â€‹Related Questions and Answers on Commercial Arithmetic I
Form 1 Mathematics
A solution whose volume is 80 litres is made 40% of water and 60% of alcohol. When litres of water are added, the percentage of alcohol drops to 40%
(a) Find the value of x (b) Thirty litres of water is added to the new solution. Calculate the percentage (c) If 5 litres of the solution in (b) is added to 2 litres of the original solution, calculate in the simplest form, the ratio of water to that of alcohol in the resulting solution Form 3 Mathematics
A construction firm has tractors T1 and T2. Both tractors working together can complete a piece of work in 6 days while T1 alone can complete the work in 15 days. After two tractors had worked together for four days, tractor T1 broke down.
Find the time it takes tractor T2 to complete the remaining work. Form 3 Mathematics
Mogaka and Onduso working together can do a piece of work in 6 days, Mogaka, working alone takes 5 days longer than Onduso. How many days does it take Onduso to do the work alone?

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