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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS


Topically Analysed


Form 3
Form 2
Form 4
Form 1

SIMPLIFY:

21/5/2023

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KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 5

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ANSWER

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Simplify as far as possible. (3mks)

11/5/2023

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​Simplify as far as possible. (3mks) 

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Factorize completely

29/4/2023

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ANSWER

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Given that xo is an angle in the first quadrant such that 8sin2x + 2Cos x – 5 = 0, find tan x. (3 Marks)

10/4/2023

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question

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answer

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Simplify the expression:

6/4/2023

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SIMPLIFY THE EXPRESSION:
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Answers

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Solve for x in the equation

2/1/2023

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A piece of wire, 18 cm long is cut into two parts. The first part is bent to form the four sides of a rectangle having length x cm and breath 1 cm.

27/12/2022

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A piece of wire, 18 cm long is cut into two parts. The first part is bent to form the four sides of a rectangle having length x cm and breath 1 cm.
a). State two expressions in terms of x only for the perimeter of the square and the rectangle.       (2 marks)

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If the sum of the areas of the square and the rectangle is A cm2, show that
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If A =8 cm2, Solve the equation in (b) above for x, hence find the possible dimensions of the two pieces of wire. (6 marks)
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Simplify

9/12/2022

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​Simplify:

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Solve the equation below.

26/11/2021

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Solve the equation below.  (3 marks)

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Worked Answer:

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Evaluate the Simultaneous equations:

19/11/2021

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​Solve the simultaneous equations

​xy =  4
x + y = 5 

Worked Solution

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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 2018PP2QN18

21/9/2020

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Form 3 Mathematics


(a)Complete the table below for the equation y = x2-4x+2
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(b) On the grid provided draw the graph y = x2 - 4x + 2 for 0 ≤ x ≤ 5. Use 2 cm to represent 1 unit on the x-axis and 1 cm to represent 1 unit on the y-axis.
(c) Use the graph to solve the equation, x2 -4x + 2 = 0
(d) By drawing a suitable line, use the graph in (b) to solve the equation  x2 -5x + 3 = 0.
ANSWERS
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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 2018PP1QN13

18/9/2020

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Form 2 Mathematics


Expand and simplify; (2x + 1)2 + (x — 1)(x — 3).
answer
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K.C.S.E Mathematics Q & A - MODEL 2017PP2QN19

17/9/2020

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Form 3 Mathematics


The table below shows values of x and some values of for the curve y = x3 -2x2 -9x + 8 for -3 ≤ x ≤ 5. Complete the table.
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(b) On the grid provided, draw the graph of y = x3- 2x2- 9x + 8 for -3 ≤ x ≤ 5 for Use the scale; 1 cm represents 1 unit on the x-axis 2 cm represents 10 units on the y-axis
(c) (i) Use the graph to solve the equation  x2 - 2x3 -9x + 8 = 0.
 (ii) By drawing a suitable straight line on the graph, solve the equation  x2 - 2x2- 11x + 6 = 0.
answers
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K.C.S.E Mathematics Q & A - MODEL 2005.PP1.QN.4

17/9/2020

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Form 3 Mathematics



Simplify the expression

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Answer
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K.C.S.E Mathematics Q & A - MODEL 2017PP2QN01

16/9/2020

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Form 3 Mathematics


The roots of a quadratic equation are x = -3/5 and x = 1. Form the quadratic equation in the form ax2 + bx + c = 0 where a, b and c are integers.
answers
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K.C.S.E Mathematics Q & A - MODEL 2017PP1QN23

16/9/2020

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Form 3 Mathematics


An institution intended to buy a certain number of chairs for Ksh 16 200. The supplier agreed to offer a discount of Ksh 60 per chair which enabled the institution to get 3 more chairs.
Taking x as the originally intended number of chairs,
(a) Write an expressions in terms of x for:
(i) original price per chair; 
(ii) price per chair after discount. 
(b) Determine:
(i) the number of chairs the institution originally intended to buy; 
(ii) price per chair after discount; 
(iii) the amount of money the institution would have saved per chair if it bought the intended number of chairs at a discount of 15%.
answers
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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 2004.PP1.QN.20

12/9/2020

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Form 3 Mathematics



The simultaneous equations below, are satisfied when x = 1 and y = p
-3x + 4y = 5
qx2 – 5xy + y2 = 0
a) Find the values of P and Q.
b) Using the value of Q obtained in (a) above, find the other values of x and y which also satisfy the given simultaneous equations.
Answer
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K.C.S.E Mathematics Q & A - MODEL 2004.PP1.QN.3

9/9/2020

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Form 3 Mathematics



Simplify the expression
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Answer
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K.C.S.E Mathematics Q & A - MODEL 2014PP1QN08

7/9/2020

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Form 2 Mathematics


Expand and simplify (x + 2y)2 – (2y – 3)2
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 2013PP2QN02

3/9/2020

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Form 3 Mathematics


A quadratic curve passes through the points (-2, 0) and (1, 0). Find the equation of the curve in the form y = ax2 +bx +c, where a, b and c are constants
answer
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