KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Form 1 Mathematics
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Form 1 Mathematics
In this questions, mathematical tables should not be used
At Kenya bank buys sells foreign currencies as shown below:
A Japanese traveling from France arrives in Kenya with 5000 Euros; he converts all the 5000 Euros to Kenya Shillings at the bank.
Calculate the amount in Japanese yen, than he receives. Form 1 Mathematics
Kago deposited kshs 30000 in a financial institution that paid simple interest at the rate of 12% per annum. Nekesa deposited the same amount of money as Kago in
another financial institution that paid compound interest. After 5 years , they had equal amounts of money in the financial institutions. Determine the compound interest rate, to 1 decimal place for Nekesas deposit Form 3 Mathematics
Three business partners: Asha, Nangila and Cherop contributed Ksh 6 000, Ksh 85 000 and Ksh 105 000 respectively. They agreed to put 25% of the profit back into business each year. They 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 ratio of their contributions. At the end
of the first year, the business realised a gross profit of Ksh 225 000. (a) Calculate the amount of money Cherop received more than Asha at the end of the first year. (b) Nangila further invested Ksh 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 ratio10:9 calculate Nangila's share of the profit at the end of the second year. Form 1 Mathematics
In this question, mathematical tables should not be used. A Kenyan bank buys and sells foreign currencies as shown below:
Buying Selling (In Kenya Shillings) (In Kenya Shillings) 1 Hong Kong Dollar 9.74 9.77 1 South African Rand 12.03 12.11 A tourist arrived in Kenya with 105 000 Hong Kong Dollars and changed the whole amount to Kenya Shillings. While in Kenya, she spent Sh 403 879 and changed the balance to South African Rands before leaving for South Africa. Calculate the amount in South African Rand, that she received, Form 1 Mathematics
The marked price of a car in a dealer’s shop was Kshs 400,000. Wekesa bought the car at 8% discount. The dealer still made a profit of 15%.
Calculate the amount of money the dealer had paid for the car. Form 3 Mathematics
In a retail shop, the marked price of a cooker was Ksh 36 000. Wanandi bought the cooker on hire purchase terms. She paid Ksh 6400 as deposit followed by 20 equal monthly installments of Ksh 1750.
(a) Calculate: (i) The total amount of money she paid for the cooker. (ii) The extra amount of money she paid above the marked price. (b) The total amount of money paid on hire purchase terms was calculated at a Compound interest rate on the marked price for 20 months. Determine the rate, per annum, of the compound interest correct to 1 decimal place. c) Kaloki borrowed kshs 36000 form a financial institution to purchase a similar cooker. The financial institution charged a compound interest rate equal to the rate in (b) above for 24 months. Calculate the interest kaloki paid correct to the nearest shilling. Form 1 Mathematics
The cost of 2 jackets and 3 shirts was Ksh 1800. After the cost of a jacket and that of a shirt were increased by 20%, the cost of 6 jackets and 2 shirts was
Ksh 4 800. Calculate the new cost of a jacket and that of a shirt. Form 1 Mathematics
A salesman is paid a salary of Ksh 15, 375 per month. He also gets a commission of 4 1/2 % on the amount of money he makes from his sales. In a certain month, he
earned a total of Ksh 28 875. Calculate the value of his sales that month. Form 1 Mathematics
Omolo bought a new car for Ksh. 800,000. After 5 years, he sold it through a second hand car dealer. The dealer charged a commission of 4% for the sale of the car. If Omolo received Ksh.480, 000, calculate the annual rate of depreciation of the car.
Form 3 Mathematics
Muga bought a plot of land for Ksh 280,000. After 4 years, the value of the plotwas Ksh 495 000. Determine the rate of appreciation, per annum, correct
to one decimal place. Form 2 Mathematics
Three business partners Atieno, wambui and Mueni contributed sh 50,000, Sh.40,000 as sh 25,000 respectively to start a business. After some time, they realized a profit, which they decided to share in the ration of their contributions. If Mueni’s share was sh 10.000, by how much was Atieno’s share more than wambui’s? (3mks)
Form 1 Mathematics
A shirt whose marked price in shs. 800 is sold to a customer after allowing him a discount of 13%. If the trader makes a profit of 20%, find how much the trader paid for the shirt.
Form 1 Mathematics
The hire purchase (H.P) price of a public address system was Kshs 276000. A deposit of Kshs 60000 was paid followed by 18 equal monthly installments.
The cash price of the public address system was 10% less than the H.P price. (a) Calculate (i) The monthly installments (ii) The cash price (b) A customer decided to buy the system in cash and was allowed a 5% discount on the cash price. He took a bank loan to buy the system in cash. The bank charged compound interest on the loan at the rate of 20% p.a. The loan was repaid in 2 years. Calculate the amount repaid to the bank by the end of the second year (c) Express as a percentage of the Hire Purchase price, the difference between the amount repaid to the bank and the Hire Purchase price Form 1 Mathematics
A wholesaler sold a radio to a retailer making a profit of 20%. The retailer later sold the radio for Ksh 1,560 making a profit of 30%. Calculate the amount of money the
wholesaler had paid for the radio. Form 2 Mathematics
The production of milk, in litres, of 14 cows on a certain day was recorded as follows
22, 26, 15, 19, 20, 16, 27, 15, 19, 22, 21, 20, 22 and 28. a) The mode; b) The median. Form 1 Mathematics
Amaya was paid an initial salary of Ksh 180 000 per annum with a fixed annual increment. Bundi was paid an initial salary of Ksh 150000 per annum with a
10% increment compounded annually. (a) Given that Amaya's annual salary in the 11th year was Ksh 288 000, determine: (i) his annual increment; (ii) the total amount of money Amaya earned during the 11 years. (b) Determine Bundi's monthly earnings, correct to the nearest shilling, during the eleventh year. (c) Determine, correct to the nearest shilling: (i) the total amount of money Bundi earned during the 11 years. Form 1 Mathematics
Kago deposited Ksh 30 000 in a financial institution that paid simple interest at the rate of 12% per annum. Nekesa deposited the same amount of money
as Kago in another financial institution that paid compound interest. After 5 years, they had equal amounts of money in the financial institutions. Determine the compound interest rate per annum, to 1 decimal place, for Nekesa's deposit. Form 1 Mathematics
The cash price of a laptop was Ksh 60 000. On hire purchase terms, a deposit of Ksh 7 500 was paid followed by 11 monthly installments of Ksh 6 000 each.
(a) Calculate: (i) the cost of a laptop on hire purchase terms; (ii) the percentage increase of hire purchase price compared to the cash price. (b) An institution was offered a 5% discount when purchasing 25 such laptops on cash terms. Calculate the amount of money paid by the institution. (c) Two other institutions, X and Y, bought 25 such laptops each. Institutions X bought the laptops on hire purchase terms. Institution Y bought the laptops on cash terms with no discount by securing a loan from a bank. The bank charged 12% p.a. compound interest for two years. Calculate how much more money institution Y paid than institution X. Form 1 Mathematics
A customer paid Ksh. 5 880 for a suit after she was allowed a discount of 2% on the selling price. If the discount had not been allowed, the shopkeeper would have
made a profit of 20% on the sale of the suit. Calculate the price at which the shopkeeper bought the suit. Form 1 Mathematics
When Ksh 40 000 was invested in a certain bank for 5 years it earned a simple interest of Ksh 3 800.
Find the amount that must have been invested in the same bank at the same rate for 7  years to earn a simple interest of Ksh 3 420. Form 1 Mathematics
A saleswoman is paid a commission of 2% on goods sold worth over Ksh 100 000. She is also paid a monthly salary of Ksh 12 000. In a certain month, she sold 360 handbags at Ksh 500 each.
(a) Calculate the saleswoman’s earnings that month. (b) The following month, the saleswoman’s monthly salary was increased by 10%. Her total earnings that month were Ksh 17 600. Calculate: (i) the total amount of money received from the sales of handbags that month; (ii) the number of handbags sold that month. Form 1 Mathematics
A fruit vendor bought 1948 oranges on a Thursday and sold 750 of them on the same day.On Friday, he sold 240 more oranges than on Thursday. On Saturday he bought 560 more oranges. Later that day, he sold all the oranges he had at a price of Ksh 8 each.
Calculate the amount of money the vendor obtained from the sales of Saturday. Form 1 Mathematics
A Kenyan company received US Dollars 100 000. The money was converted into Kenya shillings in a bank which buys and sells foreign currencies as follows:
Buying Selling (in Kenya shillings) (in Kenya shillings) 1 US Dollar 77.24 77.44 1 Sterling Pound 121.93 122.27 (a) calculate the amount of money, in Kenya shillings, the company received. (b) The company exchanged the Kenya shillings calculated in (a) above, into sterling pounds to buy a car from Britain. Calculate the cost of the car to the nearest sterling pound. 
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