KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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A commercial bank buys and sells Japanese Yen in Kenya Shillings at the rates shown below.7/1/2024 COMMERCIAL ARITHMETIC I  KCSE 1997  FORM 1 LEVEL  PAPER 2  SECTION AA commercial bank buys and sells Japanese Yen in Kenya Shillings at the rates shown below. A Japanese tourist at the end of his tour of Kenya was left with Kshs. 30,000 which he converted to Japanese Yen through the commercial bank. How many Japanese Yen did he get? KNEC ANSWERS
Given that 1 Japanese Yen is selling at Ksh 0.5446, we can use this rate to calculate the amount of Japanese Yen the tourist received.
The tourist had Kshs 30,000, so we can calculate the amount of Japanese Yen as follows: Amount in Japanese Yen = Kshs 30,000 ÷ Selling rate of 1 Japanese Yen Amount in Japanese Yen = Kshs 30,000 ÷ 0.5446 The calculation gives us: Amount in Japanese Yen ≈ 55,082.12 Therefore, the tourist received approximately 55,082 Japanese Yen.
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kcse 1996  paper 1  section a  question 3  commercial arithmetic  form 1 levelThe cost of 5 skirts and 3 blouses is Kshs 1750. Mueni bought three of the skirts and one of the blouses for Kshs 850. Find the cost of each item (3 marks).
COMMERCIAL ARITHMETIC I  PAPER 2  SECTION B  KCSE 1996 FORM 1 LEVELTwo businessmen jointly purchased a minibus capable of accommodating 25 paying passengers at full capacity. The fare for a oneway trip between towns A and B was set at Kshs 80 per passenger. The minibus operated three round trips between the two towns on a daily basis. The daily cost of fuel amounted to Kshs 1500. Additionally, the driver and conductor received daily allowances of Kshs 200 and Kshs 150 respectively. An additional Kshs 4,000 per day was allocated for maintenance, insurance, and loan payments.
QUESTION 19  KCSE 2021  MATRICES  PAPER 1  FORM 3 LEVELElimu School bought 25 textbooks and 35 exercise books for Ksh 13 500 from bookshop A. From the same bookshop Soma School bought 21 textbooks and 38 exercise books and spent Ksh 1 300 less than Elimu School.
Take x to represent the price of a textbook and y to represent the price of an exercise book.
QUESTION 17  KCSE 2021  MASS  PAPER 1  FORM 1 LEVELA factory packs fruit jam in cylindrical tins of radius 5 cm and height 15 cm. The tins are then packed into rectangular cartons each measuring 60 cm long, 30 cm wide and 30 cm high.
K.C.S.E MATHEMATICS Q & A  MODEL 1997PP2QN02Mary Has 21 Coins Whose Total Value Is Kshs 72. There Are Twice As Many Five Shillings Coins As There Are Ten Shillings Coins. The Rest Are One Shillings Coin. Find The Number Of Ten Shillings Coins That Mary Has.
A contractor hired Wema and Tatu to transport 144 tonnes of stones to building sites A and B.13/11/2023 QUESTION 17  KCSE 2022  COMMERCIAL ARITHMETIC I  PAPER 1  FORM 3 LEVELA contractor hired Wema and Tatu to transport 144 tonnes of stones to building sites A and B.
To transport 48 tonnes of stones for a distance of 28 km, the contractor paid Ksh 24000.
QUESTION 11  KCSE 2022  Commercial Arithmetic I  PAPER 1  FORM 1 LEVELA Kenyan bank bought and sold United Arab Emirates (UAE) dirhams on two different dates as shown below. A Kenyan tourist who travelled to UAE on 1st August 2021 converted Ksh 130050 to UAE dirhams.
During her stay in UAE, she spent 3520 UAE dirhams. She arrived back to Kenya on 16th August 2021. On the same day she converted the remaining amount of money to Kenya shillings at the same bank. Calculate the amount of money in Kenya shillings that she received from the bank. (3 marks) Kering purchased (2x1) identical pens for Ksh 180. Naraya purchased (3x+1) identical pencils for Ksh 200.KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 19A Kenyan NonGovernmental Organization (NGO) received a donation of 200000 US dollars. The money was converted into Kenyan shillings in a bank which buys and sells foreign currency as follows:
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 12
Jecinta made a profit of 25% by selling a pair of shoes at Ksh. 1500. What percentage profit would she have made if she sold the same shoes at 1600? (3mks)
A Kenyan tourist in US borrowed 10,000 US dollars to pay for his son’s examination.
He is expected to pay either in Kenyan shillings or through an account in the United Kingdom in sterling pounds. If he decided to pay through United Kingdom, how much would be save given that 1 US dollar = 82.4 Kenyan shillings 1 Sterling pound = 1.4 US dollar 1 Sterling pound = 105 Kenyan shillings (3mks) ANSWER
A dealer sells a mobile phone at a profit of 25%. The customer sells it to a friend at ksh 60,000, making a profit of 20 %. Find the cost prize of the mobile phone. (3 marks)
From a reservoir, water flows through a cylindrical pipe of diameter 0.2m at a rate of 0.35m per second.(a) Determine the number of liters of water discharged from reservoir in one hour. (4mks)
(b) The water flows from the reservoir for 18 hours per day for 25 days per month and serves a population of 2500 families. Determine the average consumption of water per family per month giving your answer to the nearest 100 litres. (4mks)(c) The water is charged at the rate of sh.4.50 per 100 litres. Calculate the average water bill per family per month. (2mks)
A Kenya company received US Dollars M. The money was converted into Kenya Shillings in a bank which buys and sells foreign currencies.(a) If the company received Ksh.15, 132,000, calculate the amount, M received in US Dollar. (2mks)(b) The company exchanged the above Kenya shillings into Sterling pounds to buy a car in Britain. Calculate the cost of the car to the nearest Sterling pound. (2mks)
A tailor bought a number of suits at a cost of sh. 57,600 from Ken – suit wholesalers. Had he bought the same number of suits from Umoja wholesalers, it would have cost him sh. 480 less per suit. This would have enabled him to buy 4 extra suits for the same amount of money.a) Find the number of suits the tailor bought (4mks)b) The tailor later sold each suit for sh 720 more than he had paid for it. Determine the percentage profit he made?
Worked Solution:John bought 3 brands of tea A, B and C. The cost of the three brands was sh. 25, sh. 30 and sh. 45 per kilogram respectively. He mixed the three brands in the ratio 5 : 2 : 1 respectively. After selling the mixture he made a profit of 20%.a) How much profit did he make per kilogram of the mixture? (4mks)b) After one year the cost price of each brand was increased by 12%.i) For how much did he sell one kilogram of the mixture to make 20% profit%, give your answer to the nearest 5cts (3mks)ii) What would have been his percentage profit if he sold one kilogram of the mixture at sh. 40.25? (3mks)
Worked Solution:A Kenyan tourist left Germany for Kenya through Switzerland. While in Switzerland he bought a watch worth 52 Deutsche marks.Find the value of the watch in:a) Swiss Francsb) Kenya shillings (3mks) Use the exchange rates below1 Swiss Franc = 1.28 Deutsche marks1 Swiss Franc = 45.21 Kenya shillings Worked Answer:
A man imported a vehicle at sh 600,000 and sold it at sh. 1, 080,000. find his percentage profit if he spent sh 60,000 for clearing the vehicle from the port and a further sh. 40,000 for shipping. (3mks)Worked Example:
Form 1 Mathematics
A tourist converted 5820 US dollars into Kenya Shillings at the rate of Ksh 102.10 per dollar. While in Kenya, he spent Ksh450 000 and converted the balance into dollars at the rate of Ksh 103.00 per dollar.
Calculate the amount of money, to the nearest dollar, that remained. Form 1 MathematicsA salesman earns a basic salary of Kshs. 9,000 per month In addition he is also paid a commission of 5% for sales above Kshs 15,000 In a certain month he sold goods worth Kshs. 120,000 at a discount of 2 ½ % Calculate his total earnings that month ( 3 marks) Form 1 Mathematics
Asia invested some money in a financial institution. The financial institution offered 6% per annum compound interest in the first year and 7% per annum in the second year. At the end of the second
year, Asia had Ksh 170 130 in the financial institution. Determine the amount of money Asia invested. Form 1 Mathematics
Three business partners Abila, Bwire and Chirchir contributed Ksh 120 000, Ksh 180 000 and Ksh 240 000 respectively, to boost their business.
They agreed to put 20% of the profit accrued back into the business and to use 35% of the profits for running the business (official operations). The remainder was to be shared among the business partners in the ratio of their contribution. At the end of the year, a gross profit of Ksh 225 000 was realised. (a) Calculate the amount: (i) put back into the business; (ii) used for official operations (b) Calculate the amount of profit each partner got. (c) If the amount put back into the business was added to individuals’s shares proportionately to their initial contribution, find the amount of Chirchir’s new shares. Form 1 Mathematics
A Kenyan businessman intended to buy goods worth US dollar 20 000 from South Africa
Calculate the value of the goods to the nearest South Africa (S.A) Rand given that 1 US dollar = Ksh 101.9378 and 1 S.A Rand = Ksh 7.6326. Form 1 Mathematics 
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