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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS


Topically Analysed


Form 3
Form 2
Form 4
Form 1

The coordinates of two points A and B are (2, -3) and (-4, 5) and R is the mid-point of AB.

2/1/2023

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questions

The coordinates of two points A and B are (2, -3) and (-4, 5) and R is the mid-point of AB.
a) Determine the coordinates of R. (2 marks)  
b) Find the equation of a straight line joining A and B, expressing it in the form y=mx+c where m and c are constants. (3 marks)
c) The straight line L_(1   ) which is a perpendicular bisector of AB meets the X-axis at T. Find the coordinates of T. (3 marks)
d) If the straight line L_(1   )is parallel to a line that passes through the point (-1, 6) and (a, 8), find a. (2 marks)  

answers

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During a certain ceremony goats and chicken were slaughtered. The number of heads (for both chicken and goats) was 45. The total number of legs was 100. Determine the exact number of goats and chicken slaughtered.

24/10/2021

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During a certain ceremony goats and chicken were slaughtered. The number of heads (for both chicken and goats) was 45. The total number of legs was 100. Determine the exact number of goats and chicken slaughtered. (3mks) ​

Worked Answer:

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K.C.S.E Mathematics Q & A - MODEL 2019PP2QN05

24/9/2020

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Form 2 Mathematics


Solve the equations:
x + 3y = 13
x² + 3y² = 43
answer
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K.C.S.E Mathematics Q & A - MODEL 2019PP1QN15

22/9/2020

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Form 2 Mathematics


A trader bought two types of bulbs A and B at Ksh 60 and Ksh 56 respectively. She bought a total of 50 bulbs of both types ct a total of Ksh 2872.
​Determine the number of type A bulbs that she bought.

answer
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K.C.S.E Mathematics Q & A - MODEL 2018PP2QN07

21/9/2020

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Form 3 Mathematics


Use completing the square method to solve 3x2 + 8x — 6 = 0, correct to 3 significant figures.
answer
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K.C.S.E Mathematics Q & A - MODEL 2018PP1QN12

18/9/2020

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Form 1 Mathematics


Use matrix method to solve: 
5x + 3y = 35
3x -4y = -8
answer
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K.C.S.E Mathematics Q & A - MODEL 2005.PP1.QN.11

17/9/2020

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Form 2 Mathematics



On the diagram below, the line whose equation is 7y – 3x + 30 = 0 passes though the points A and B. Point A on the x- axis while point B is equidistant from x- and y – axes.

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Calculate the co-ordinates of the points A and B (3mks)
Answer
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K.C.S.E Mathematics Q & A - MODEL 2017PP1QN14

15/9/2020

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Form 1 Mathematics


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answer
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K.C.S.E Mathematics Q & A - MODEL 2017PP1QN11

15/9/2020

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Form 3 Mathematics


Murimi and Naliaka had each 840 tree seedlings. Murimi planted equal number of seedlings per row in x rows while Naliaka planted equal number of seedlings in (x + 1) rows.
The number of tree seedlings planted by Murimi in each row were 4 more than those planted by Naliaka in each row. Calculate the number of seedlings Murimi planted in each row.

answer
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K.C.S.E Mathematics Q & A - MODEL 2016PP1QN17

14/9/2020

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Form 3 Mathematics


a)Solve the equation
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b) The length of a floor of a rectangular hall is 9m more than its width. The area of the floor is 136m2
.i)Calculate the perimeter of the floor
 ii)A rectangular carpet is placed on the floor of the wall leaving an area of 64m2. If the length of a carpet is twice its width, determine the width of the carpet.
answers
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K.C.S.E Mathematics Q & A - MODEL 2015PP1QN14

10/9/2020

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Form 1 Mathematics


The cost of 2 jackets and 3 shirts was Ksh 1800. After the cost of a jacket and that of a shirt were increased by 20%, the cost of 6 jackets and 2 shirts was
Ksh 4 800. Calculate the new cost of a jacket and that of a shirt.
answer
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K.C.S.E Mathematics Q & A - MODEL 2014PP2QN11

8/9/2020

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Form 2 Mathematics


Solve the simultaneous equations;
 3x - y = 9
x2 — xy = 4
answer
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K.C.S.E Mathematics Q & A - MODEL 2003PP2QN017

7/9/2020

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Form 2 Mathematics



Given the simultaneous equations
   5x + y = 19
   -x + 3y = 9
  • a) Write the equations in matrix form. Hence solve the simultaneous equations. (5mks)
  • b) Fins the distance of the point of intersection for the line
    ​5x +y = 19 and –x +3y = 9 from the point (11,-2) (3mks)
Answer
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K.C.S.E Mathematics Q & A - MODEL 2003PP2QN004

5/9/2020

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Form 2 Mathematics



A straight line passes through points A(-3,8) and B(3, -4). Find the equation of the straight line through(3,4) and parallel to AB. Give the answer in the form y – mx +c, and c are constants. (3mks)
ANSWER
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K.C.S.E Mathematics Q & A - MODEL 2013PP2QN19

3/9/2020

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Form 3 Mathematics


(a) Complete the table below for y = x3+4x2-5x-5
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(b) On the grid provided, draw the graphs of y = x3 +4x2-5x-5 for -5 ≤ x ≤ 2
(c) (i) Use the graph to solve the equation x3 +4x2 – 5x – 5 = 0
(ii) By drawing a suitable straight line on the graph, solve the equation x3 + 4x2 – 5x -5 = - 4x – 1
answers
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K.C.S.E Mathematics Q & A - MODEL 2012PP2QN09

1/9/2020

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Form 1 Mathematics


Solve the equations    x + y = 17
                                         xy - 5x = 32
answer
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K.C.S.E Mathematics Q & A - MODEL 2006PP1QN14

9/8/2020

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Form 1 Mathematics


Hadija and Kagendo bought the same types of pens and exercise books from the same shop
Hadija bought 2 pens and 3 exercise books for Kshs 78. Kagendo bought pens and 4 exercise books for Kshs 108
Calculate the cost of each item

answer
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K.C.S.E Mathematics Q & A - MODEL 2001PP2QN11

5/8/2020

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Form 3 Mathematics


A curve is given by the equation: u = 5x3 – 7x2 + 3x +2) Gradient of the curve at x = 1
answer
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K.C.S.E Mathematics Q & A - MODEL 2000PP1QN16

8/7/2020

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Form 2 Mathematics | Topical Questions and Answers



Karani bought 4 pencils and 6 biro- pens for Kshs 66 and Tachora bought 2 pencils and 5 biro- pens for Kshs 51.
  • (a) Find the price of each item
  • (b) Musoma spent Kshs. 228 to buy the same type of pencils and biro pens. If the number of biro- pens he bought were 4 more than the number of pencils, find the number of pencils bought.
ANSWER
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Related Questions on Linear and Simultaneous Equations


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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN03

7/6/2020

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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN03

​The mass of 6 similar art books and 4 similar biology books is 7.2 kg. The mass of 2 such art books and 3 such biology books is 3.4 kg. Find the mass of one art book and mass of one biology book.


ANSWER
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K.C.S.E Mathematics Q & A - MODEL 1997PP1QN24

23/5/2020

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K.C.S.E Mathematics Q & A

The coordinates of the  points P  and Q are ( 1, -2) and ( 4, 10) respectively.
A point T divides the line PQ  in the ratio 2: 1

  • (a)  Determine the  coordinates of T
  • (b)
    • (i) Find the gradient  of a line perpendicular to  PQ
    • (i) Hence determine the equation of the line perpendicular PQ and passing through T
    • (ii) If the  line meets the y- axis at R, calculate the distance  TR, to three significant figures

KNEC MARKING SCHEME
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K.C.S.E Mathematics Q & A-MODEL 1997PP1QN15

20/5/2020

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Akinyi bough three cups and four Spoons for Kshs. 324. Wanjiku bought five cups and Fatuma bought two spoons of the same type as those bought by Akinyi. Wanjiku paid Kshs 228 more than Fatuma. Find the price of each cup and spoon.


​K.N.E.C Marking Scheme
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K.C.S.E Mathematics Q & A-MODEL 1995PP2QNQ2

11/5/2020

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Solve the simultaneous equations

2x – y = 3
x2 – xy = -4

(4 marks)

MARKING SCHEME
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K.C.S.E Mathematics Q & A-MODEL 1995PP1QN12

8/5/2020

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