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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS


Topically Analysed


Form 3
Form 2
Form 4
Form 1

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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K.C.S.E Mathematics Q & A-MODEL 1996PP2QN21

16/5/2020

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Kubai saved Kshs 2,000 during the first year of employment. In each subsequent year, he saved 15% more than the preceding year until he retired.

  • (a) How much did he save in the second year? ( 1 mark)
  • (b) How much did he save in the third year? ( 1 mark)
  • (c) Find the common ratio between the savings in two consecutive years ( 3 marks)
  • (d) How many years did he take to save the savings a sum of Kshs 58,000? ( 3 marks)
  • (e) How much had he saved after 20 years of service? ( 2 marks)

​K.N.E.C Marking Scheme
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K.C.S.E Mathematics Q & A-MODEL 1996PP1QN18

14/5/2020

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The table below shows the income tax rates

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Mr. Otiende earned a basic salary of Kshs 13,120 and a house allowance of Kshs 3,000 per month. He claimed a tax relief for a married person of Kshs 455 per month
  • (a) Calculate
    • (i) The tax payable without the relief
    • (ii) The tax paid after the relief
  • (b) Apart from the income tax, the following monthly deductions are made. A service charge of Kshs 100, a health insurance fund of Kshs 280 and 2% of his basic salary as widow and children pension scheme.
    • Calculate
      • (i) The total monthly deductions made from Mr. Otiende‟s income
        ( 2 marks)
      • (ii) Mr. Otiende‟s net income from his employment
        ( 2 marks)

MARKING SCHEME
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K.C.S.E Mathematics Q & A-MODEL 1996PP1QN9

13/5/2020

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A car dealer charges 5% commission for selling a car. He received a commission of Kshs 17,500 for selling a car. How much money did the owner receive from the sale of his car? ( 2 marks)


MARKING SCHEME
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K.C.S.E Mathematics Q & A-MODEL 1996PP1QN7

13/5/2020

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Mr. Ngeny borrowed Kshs. 560,000 from a bank to buy a piece of land. He was required to repay the loan with simple interest for a period of 48 months. The repayment amounted to Kshs 21000 per month.

​Calculate
  • (a) The interest paid to the bank ( 2 marks)
  • (b) The rate per annum of the simple interest ( 4 marks)

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K.C.S.E Mathematics Q & A-MODEL 1996PP1QN6

13/5/2020

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​An employee started on a salary of £ 6,000 per annum and received a constant annual increment. If he earned a total of £ 32,400 by the end of five years, calculate his annual increment. ( 3 marks)


MARKING SCHEME
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K.C.S.E Mathematics Q & A-MODEL 1995PP2QN3

11/5/2020

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