Form 3 Mathematics
Mbaka bought some plots at Ksh 400,000 each. The value of each plot appreciated at the rate of 10% per annum.
(a) Calculate the value of a plot after 2 years. (b) After some time t, the value of a plot was Ksh 558,400. Find t, to the nearest month. (c) Mbaka sold all the plots he had bought after 4 years for Ksh2,928,200. Find the percentage profit Mbaka made, correct to 2 decimal places. Form 3 MathematicsForm 3 MathematicsAbdi and Amoit were employed at the beginning of the same year. Their annual salaries in shillings progressed as follows: Abdi: 60,000, 64 800, 69, 600 (a) Calculate Abdi’s annual salary increment and hence write down an expression for his annual salary in his n^{th} year of employment( 2 marks) (b) Calculate Amoit’s annual percentage rate of salary increment and hence write down an expression for her salary in her n^{th} year of employment. ( 2 marks) (c) Calculate the differences in the annual salaries for Abdi and Amoit in their 7^{th} year of employment ( 4 marks) Form 3 Mathematics
The table below shows monthly income tax rates for a certain year.
In that year a monthly personal tax relief of Ksh 1 280 was allowed. In a certain month of that year, Sila earned a monthly basic salary of Ksh 52 000, a house allowance of Ksh 7 800 and a commuter allowance of Ksh 5 000.
(a) Calculate: (i) Sila’s taxable income; (ii) the net tax payable by Sila in that month; (b) In July that year, Sila’s basic salary was raised by 4%. Determine Sila’s net salary in July. Form 3 MathematicsA bank either pays simple interest as 5% p.a or compound interest 5% p.a on deposits. Nekesa deposited Kshs P in the bank for two years on simple interest terms. If she had deposited the same amount for two years on compound interest terms, she would have earned Kshs 210 more. Calculate without using Mathematics Tables, the values of P ( 4 marks) Form 3 Mathematics
The income tax rates of a certain year were as shown in the table below:
In that year, Shaka’s monthly earnings were as follows: Basic salary Ksh 28600
House allowance Ksh 15 000 Medical allowance Ksh 3 200 Transport allowance Ksh 540 Shaka was entitled to a monthly tax relief of Ksh 1056. (a) Calculate the tax charged on Shaka’s monthly earnings. (b) Apart from income tax, the following monthly deductions were made; a Health Insurance fund of Ksh 500, Education Insurance of Ksh 1 200 and 2% of his basic salary for widow and children pension scheme. Calculate Shaka’s monthly net income from his employment. 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 3 Mathematics
The table below shows monthly income tax rates for the year 2003
In the year 2003.Ole Sanguya’s monthly earnings were as follows:
Calculate:
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 3 Mathematics
The table below shows income tax rates for a certain year.
A tax relief of Ksh 1162 per month was allowed. In a certain month, of that year, an employee's taxable income in the fifth band was Ksh 2108.
(a) Calculate: (i) the employee's total taxable income in that month; (ii) the tax payable by the employee in that month. (b) The employee's income included a house allowance of Ksh 15 000 per month. The employee contributed 5% of the basic salary to a cooperative society. Calculate the employees net pay for that month. 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 1 MathematicsA businessman obtained a loan of sh.450,000 from a bank to buy a matatu valued at the same amount. The bank charges interest at 24% per annum compounded equation. 2x^{2} + x – 5 = 0 to 1 decimal place.
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 3 Mathematics 
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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