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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~Topically Analyzed

K.C.S.E Mathematics Q & A - MODEL 2014PP2QN12

8/9/2020

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Form 3 Mathematics


Muga bought a plot of land for Ksh 280,000. After 4 years, the value of the plot-was Ksh 495 000. Determine the rate of appreciation, per annum, correct
to one decimal place.

answer
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K.C.S.E Mathematics Q & A - MODEL 2003PP1QN023

4/9/2020

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Form 1 Mathematics



A 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. 2x2 + x – 5 = 0 to 1 decimal place.

  • a) Calculate the total amount of money the businessman paid to clear the loan in 1 – ½ years.
  • b) The average income realized from the matatu per day was sh.1500. The matatu worked for 3 years at an average of 280 days year. Calculate the total income from the matatu.
  • c) During the three years, the value of the matatu depreciated at the rate of 16% per annum. If the businessman sold the matatu at its new value, calculate the total profit he realized by the end of three years. (3mks)
ANSWER
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K.C.S.E Mathematics Q & A - MODEL 2013PP2QN17

3/9/2020

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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
answers
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K.C.S.E Mathematics Q & A - MODEL 2013PP2QN13

3/9/2020

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Form 3 Mathematics


The table below shows income tax rates in a certain year
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In that year, a monthly personal tax relief of kshs 1056 was allowed .calculate the monthly income tax paid by an employee who earned salary of Ksh 32 500.
answers
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K.C.S.E Mathematics Q & A - MODEL 2012PP2QN20

1/9/2020

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Form 3 Mathematics


In June of a certain year, an employee's basic salary was Ksh 17000. The employee was also paid a house allowance of Ksh 6000, a commuter allowance
of Ksh 2500 and a medical allowance of Ksh 1 800. In July of that year, the employee's basic salary was raised by 2%.
(a) Calculate the employees:
(i) basic salary for July;
(ii) total taxable income in July of that year. 
(b) In that year, the Income Tax Rates were as shown in the table below:
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Given that the Monthly Personal Relief was Ksh 1056, calculate the net tax paid by the employee.
answers
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K.C.S.E Mathematics Q & A - MODEL 2003PP1QN004

1/9/2020

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Form 3 Mathematics



A water pump costs Kshs. 21600 when new. At the end of first year its value depreciates by 25%. The depreciation by the second year is 20% and thereafter the rate of the depreciation is 15% yearly. Calculate the exact value of the water pump at the end of the fourth year.
Answer
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K.C.S.E Mathematics Q & A - MODEL 2012PP1QN14

31/8/2020

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Form 1 Mathematics


A Forex Bureau in Kenya buys and sells foreign currencies as shown below:
                                        Buying                       Selling
     Currency                   (Ksh)                         (Ksh)
Chinese Yuan                 12.34                         12.38
South African Rand      11.28                         11.37
A businesswoman from China converted 195 250 Chinese Yuan into Kenya shillings.
(a) Calculate the amount of money, in Kenya shillings, that she received. 
(b) While in Kenya, the businesswoman spent Ksh 1 258 000 and then converted the balance into South African Rand. Calculate the amount of money, to the nearest Rand, that she received. 
answers
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN014

29/8/2020

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Form 3 Mathematics



Each month, for 40 months, Amina deposited some money in a saving scheme. In the first month she deposited sh 500. Thereafter she increased her deposits by sh.50 every month.
Calculate the:
  • a) Last amount deposited by Amina
  • b) Total amount Amina had saved in the 40 months.
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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN018

24/8/2020

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Form 3 Mathematics



The table below shows Kenyan tax rates in a certain year
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In that year Muhando earned a salary of Ksh. 16510 per month. He was entitled to a monthly tax relief of Kshs 960.
Calculate:
  • a) Muhandos annual salary in K£
  • b) The monthly tax paid by muhando in Kshs.
aNSWER
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K.C.S.E Mathematics Q & A - MODEL 2009PP2QN21

21/8/2020

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Form 3 Mathematics


The table below shows income tax rates.
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In certain year, Robi‟s monthly taxable earnings amounted to Kshs. 24 200.
a) Calculate the tax charged on Robi‟s monthly earnings. 
b) Robi was entitled to the following tax reliefs:
I: monthly personal relief of Ksh 1 056;
II: Monthly insurance relief at the rate of 15% of the premium paid.
Calculate the tax paid by Robi each month, if she paid a monthly premium of Kshs 2 400 towards her life insurance policy.
answers
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K.C.S.E Mathematics Q & A - MODEL 2002PP1QN017

20/8/2020

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Form 3 Mathematics



A house is to be sold either on cash basis or through a loan. The cash price is sh.750,000. The loan conditions area s follows: there is to be down payment of 10% of the cash price and the rest of the money is to be paid through a loan at 10% per annum compound interest.
A customer decided to but the house through a loan.
  • a)
    • (i) Calculate the amount of money loaned to the customer.
    • (ii) The customer paid the loan in 3 year’s. Calculate the total amount paid for the house.
  • b) Find how long the customer would have taken to fully pay for the house if she paid a total of sh 891,750. (8 mks)
Answer
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Related Questions and Answers on Commercial Arithmetic II

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K.C.S.E Mathematics Q & A - MODEL 2002PP1QN009

14/8/2020

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Form 3 Mathematics



The average rate of depreciation in value of a water pump is 9% per annum. After three complete years its like value was sh 150,700. Find its value at the start of the three – year period.
Answer
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K.C.S.E Mathematics Q & A - MODEL 2006PP2QN08

10/8/2020

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Form 3 Mathematics


The table below is a part of tax table for monthly income for the year 2004
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In the tax year 2004, the tax of Kerubo's monthly income was Kshs 1916
Calculate Kerubos monthly income
answer
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K.C.S.E Mathematics Q & A - MODEL 2006PP1QN07

9/8/2020

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Form 3 Mathematics


In this question, mathematical table should not be used A Kenyan bank buys and sells foreign currencies as shown below
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A tourists arrived in Kenya with 105 000 Hong Kong dollars and changed the whole amount to Kenyan shillings. While in Kenya, she pent Kshs 403 897 and changed the balance to South African rand before leaving for South Africa. Calculate the amount, in South African rand that she received.
answer
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K.C.S.E Mathematics Q & A - MODEL 2001PP2QN006

8/8/2020

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Form 3 Mathematics



A telephone bill includes Ksh.4,320 for local calls, Ksh.3,260 for trunk calls and a rental charge of Kshs.2,080 .A value added tax (V.A.T.) is then charge at 15%.
aNSWER
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K.C.S.E Mathematics Q & A - MODEL 2001PP1QN17

21/7/2020

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Form 3 Mathematics



The table shows income tax rates
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​A company employee earn a monthly basic salary of Kshs 30,000 and is also given taxable allowances amounting to Kshs 10, 480.
  • (a) Calculate the total income tax
  • (b) The employee is entitled to a personal tax relief of Kshs 800 per month. 
Determine the net tax.
  • (c) If the employee received a 50% increase in his total income, calculate the corresponding percentage increase on the income tax.
Answer
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K.C.S.E Mathematics Q & A - MODEL 2000PP1QN12

8/7/2020

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Form 3 Mathematics | Topical Questions and Answers



A tailor intends to buy a sewing machine costs Kshs. 48,000. He borrows the money from a bank the loan has to be repaid at the end of the second year. The bank charges an interest at the rate of 24% per annum compounded half - yearly. Calculate the total amount payable to the bank.
ANSWER
K.C.S.E Mathematics Q & A - MODEL 2000PP1QN12

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K.C.S.E Mathematics Q & A - MODEL 1999PP2QN05

30/6/2020

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In the month of January, an insurance salesman earned Kshs 6750 which was a  commission of 4.5% of the premium paid  to the company.
answer
K.C.S.E Mathematics Q & A - MODEL 1999PP2QN05
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K.C.S.E Mathematics Q & A - MODEL 1999PP1QN17

25/6/2020

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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1


​The cost of a minibus was Kshs. 950,000. It depreciated in value by 5% per year for the first two years by 15% per year for the subsequent years.
  • (a) Calculate the value of the minibus after 5 years
  • (b) After 5 years the minibus was sold through a dealer at 25% more than its value to Mr. X. If the dealers sale price was to be taken as its value  after  depreciation, calculate the average monthly rate of depreciation for 5 years.
ANSWER
K.C.S.E Mathematics Q & A - MODEL 1999PP1QN17
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K.C.S.E Mathematics Q & A - MODEL 1999PP1QN10

25/6/2020

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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1


A business woman opened an account by depositing Kshs. 12,000 in a bank on 1st  July 1995. Each subsequent year, she deposited the same amount on 1st  July. The bank offered her 9% per annum compound interest. Calculate the  total  amount in her account on

  • (a)    30th June 1996
  • (b)   30th June 1997

answer
K.C.S.E Mathematics Q & A - MODEL 1999PP1QN10
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K.C.S.E Mathematics Q & A - MODEL 1999PP1QN06

25/6/2020

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Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1

The table below shows the weight  and  price of  three commodities in a given period
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Calculate the retail index for the group of commodities
ANSWER
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K.C.S.E Mathematics Q & A - MODEL 1998PP2QN05

13/6/2020

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Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

​A  plot of land was valued at Kshs 50,000 at the start of 1994. It appreciated by 20% during 1994. Thereafter, every year, it appreciated by  10% of its previous years value.
  • ​a. The value of the land at the start of 1995
  • b. The value of the land at the end  of  1997

answer
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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN18

7/6/2020

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The table below shows monthly income tax  rates

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN18
A civil servant earns a monthly salary of  Kshs 20,000 and is provided with a house at a nominal rent of Kshs 700 per month
  • (a) Taxable pay is the employee’s salary, plus 15% of salary, less nominal rent.
    Calculate the civil servant’s taxable pay in K £
  • (b) Calculate the total tax
  • (c) If the employee is entitled to a personal relief of Kshs. Per month, what is the net tax.

ANSWER
K.C.S.E Mathematics Q & A - MODEL 1998PP1QN18
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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN13

7/6/2020

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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN13

​A financial institution charges compound interest on money borrowed. A business woman borrowed Kshs. 16, 000 from the financial institution. She paid back Kshs 25,000 after 2 years. Find the interest rate per annum. 


ANSWER
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K.C.S.E Mathematics Q & A-MODEL 1997PP1QN07

18/5/2020

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A company saleslady sold worth Kshs 42, 000 from this sale she earned a commission of Kshs 4,000.

  • (a) calculate the rate of commission
  • (b) If she sold goods whose total marked price was Kshs 360,000 and allowed a discount of 2% calculate the amount of commission she received.

​K.N.E.C Marking Scheme
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