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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS


Topically Analysed


Form 3
Form 2
Form 4
Form 1

The sum of two numbers m and n is 7. The sum of m and the reciprocal of n is 3 ¼. Find the two possible values of m and n.     (4 Marks)

7/4/2023

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question

The sum of two numbers m and n is 7. The sum of m and the reciprocal of n is 3 ¼. Find the two possible values of m and n.     (4 Marks)

answer

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A three-digit number is such that twice the hundreds digit is more than the tens digit by 2.the unit digit is thrice the hundred digit. When the digits are reversed, the number is increased by 594.Find the number.

9/12/2022

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​A three-digit number is such that twice the hundreds digit is more than the tens digit by 2.the unit digit is thrice the hundred digit. When the digits are reversed, the number is increased by 594.Find the number.
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K.C.S.E Mathematics Q & A - MODEL 2019PP1QN02

22/9/2020

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Form 2 Mathematics


Express 1728 and 2025 in terms of their prime factors. Hence evaluate:
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answer
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K.C.S.E Mathematics Q & A - MODEL 2018PP1QN06

18/9/2020

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Form 1 Mathematics


A two digit number is such that, the sum of its digits is 13. When the digits are interchanged, the original number is increased by 9. Find the original number.
answer
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K.C.S.E Mathematics Q & A - MODEL 2015PP1QN01

8/9/2020

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Form 1 Mathematics


(a) Evaluate 540396-726450÷3. 
(b) Write the total value of the digit in the thousands place of the results obtained in (a) above.
ANSWERS
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K.C.S.E Mathematics Q & A - MODEL 2014PP1QN01

4/9/2020

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Form 1 Mathematics


Ntutu had cows, sheep and goats in his farm the number of cows was 32 and number of sheep was twelve times the number of cows. The number of goats was 1344 more
than the number of sheep. If he sold 3/4 of the goats, find the number of goats that remained.
ANSWER
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K.C.S.E Mathematics Q & A - MODEL 2003PP1QN014

3/9/2020

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Form 1 Mathematics



  • a) Write an expression in terms of x and y for the total value of a two digit number having x as the tens digit and y as the units digit.
  • b) The number in (a) above is such that three times the sum of its digits is less than the value of the number by 8. When the digits are reversed the value of the number increases by 9. Find the number.
Answer
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K.C.S.E Mathematics Q & A - MODEL 2013PP1QN09

2/9/2020

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Form 1 Mathematics


A number m is formed by writing all the prime numbers between 0 and 10 in an ascending order. Another number n is formed by writing all the square numbers between 0 and 10 in a descending order:
a) Find m – n; 
b) Express (m – n) as a product of its prime factors.
answer
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K.C.S.E Mathematics Q & A - MODEL 2011PP1QN14

26/8/2020

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Form 1 Mathematics


(a) Express 10500 in terms of its prime factors.
(b) Determine the smallest positive number P such that 10500P is a perfect cube.
answer
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K.C.S.E Mathematics Q & A - MODEL 2010PP1QN09

24/8/2020

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Form 1 Mathematics


The figure below is a net of a cube with some dots on two faces.
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Given that the number of dots on pairs of opposite faces add up to 7, fill in appropriate dots in each of the empty faces.
answer
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K.C.S.E Mathematics Q & A - MODEL 2007PP1QN13

12/8/2020

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Form 1 Mathematics


The sum of two numbers x and y is 40. write down an expression, in terms of x, for the sum of the squares of the two numbers.
Hence determine the minimum value of x2 + y2
answer
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K.C.S.E Mathematics Q & A - MODEL 2006PP1QN02

6/8/2020

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Form 1 Mathematics


All prime numbers less than ten are arranged in descending order to form a
Number.
(a) Write down the number formed 
(b) State the total value of the second digit in the number formed in (a) above
answers
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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN01

7/6/2020

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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN01

​Evaluate without using mathematical tables

\[1000\sqrt{\frac{0.00128}{200}}\]


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K.C.S.E Mathematics Q & A - MODEL 1997PP2QN02

24/5/2020

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K.C.S.E Mathematics Q & A

Mary 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.


KNEC ANSWER
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K.C.S.E Mathematics Q & A-MODEL 1996PP1QN13

13/5/2020

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A fruiterer bought 144 pineapples at Kshs 100 for every six pineapples. She sold some of them at Kshs. 72 for every three and the rest at Kshs 60 for every two. If she made a 65% profit, calculate the number of pineapples sold at Kshs 72 for every three ( 3 marks)


MARKING SCHEME
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K.C.S.E Mathematics Q & A-MODEL 1995PP1QN2

7/5/2020

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Simplify: 

\[\frac{2x-2}{6x^{2}-x-12}\div\frac{x-1}{2x-3}\]
MARKING SCHEME
K.C.S.E Mathematics Q & A-MODEL 1995PP1QN2
​[3 MARKS]
3 MARKS
Comments

K.C.S.E Mathematics Q & A-MODEL 1995PP1QN1

7/5/2020

Comments

 

Without using logarithms tables evaluate

\[\sqrt{\frac{384.16 \times 0.0625}{96.04}}\]
MARKING SCHEME
MODEL 1995PP1QN1 MS
3 MARKS
Comments


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