Category: Graphical Methods

Using the grid provided below, solve the simultaneous equations. x-4y = -5-x+2y= 1

22/5/2023

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Using the grid provided below, solve the simultaneous equations.
x-4y = -5
-x+2y= 1
(3 marks)

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 8

Answer

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Fill in the table below to 2 decimal places for the graph of y = sin x and y = 2sin (x-30) for the range – 180 £ x £180 (2mks)

13/5/2023

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Fill in the table below to 2 decimal places for the graph of y = sin x and y = 2sin (x-30) for the range – 180 £ x £180 (2mks)

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Find the radius and the coordinate of the centre of the circle whose equation is

13/5/2023

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â€‹Find the radius and the coordinate of the centre of the circle whose equation is

2x² + 2y² â€“ 6x + 10y + 9 = 0 (3mks)

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kcse mathematics question and answers on graphical methods model10052023005

29/4/2023

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Find the centre and the radius of a circle whose equation is.

29/4/2023

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Find the centre and the radius of a circle whose equation is.

ANSWER

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KCSE REVISION QUESTION AND ANSWERS ON GRAPHICAL METHODS MODEL05052023002

10/4/2023

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KCSE REVISION QUESTION AND ANSWERS ON GRAPHICAL METHODS MODEL05052023002

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ANSWER

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KCSE REVISION QUESTION AND ANSWERS ON INTEGRATION, DIFFERENTIATION AND GRAPHICAL METHODS MODEL05052023001

10/4/2023

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QUESTION

ANSWER

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QUESTION AND ANSWER ON GRAPHICAL METHODS MODEL06012023009

5/1/2023

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QUESTION AND ANSWER ON GRAPHICAL METHODS MODEL06012023004

5/1/2023

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question and answer on graphical methods MODEL06012023012

5/1/2023

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Complete the table of values for the equation y=x^(2 )+3x-6, given that -6≤x≤4.

2/1/2023

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a) Complete the table of values for the equation y=x²+3x-6, given that -6≤x≤4.

b) Using a scale of 1cm to represent 2 units in both axes, draw the graph of y=x²+3x-6 . (3 marks)

c) Using the graph drawn above Solve the equation
i) x²+3x-6=0 (2 marks)
(ii) x²+3x-2=0 (3 marks)

Answers

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2X]2 + 2y]2 - 6X + 10y + 9 = 0 is the equation of a circle. Find the radius and the centre of the circle.

28/11/2021

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GRAPHICAL METHODS | Determining of the centre and radius of a circle | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION A

2X² + 2y² - 6X + 10y + 9 = 0 is the equation of a circle. Find the radius and the centre of the circle. (4mks)

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Given that y = 7 + 3x-x sqr, complete the table below

22/11/2021

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(a) Given that y = 7 + 3x-x², complete the table below.(2mks)

Worked Solution

(b) On the grid provided and using a suitable scale draw the graph of y = 7 + 3x-x². (2mks)

(c) On the same grid draw the straight line and use your graph to solve the equation x² - 4x– 3 = 0. (3mks)

(d) Determine the coordinates of the turning point of the curve. (2mks)

Worked Solution:

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Draw the graph of

25/10/2021

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Draw the graph of

b) Using a suitable line solve

2x² – 3x – 50 = 0 (5mks)

Worked solution:

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K.C.S.E Mathematics Q & A - MODEL 2019PP2QN16

24/9/2020

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Form 3 Mathematics

The length of a shadow' of a mast was measured at intervals of 1 hour and recorded as shown in the table below.

(a) On the grid provided, draw the graph of length against time.

(b) Determine the rate of change of the shadow’ length at = 2

answers

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K.C.S.E Mathematics Q & A - MODEL 2018PP2QN09

21/9/2020

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Form 3 Mathematics

The table below represents a relationship between two variables x and y.

(a) On the grid provided draw the line of best fit.
(b) Use the graph to find the value off when x = 0.

answers

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K.C.S.E Mathematics Q & A - MODEL 2005.PP1.QN.24

18/9/2020

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Form 3 Mathematics

(a)

(i) Complete the table below for the function y = x³ + x² – 2x (2 marks)

(ii On the grid provided, draw the graph of y = x3 + x2 – 2x for the values of x in the interval – 3 ≤ x ≤ 2.5 (2 marks)

(iii) State the range of negative values of x for which y is also negative (1 mk)

(b) Find the coordinates of two points on the curve other than (0,0) at which x- coordinate and y- coordinate are equal (3 marks)

Answer

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K.C.S.E Mathematics Q & A - MODEL 2014PP2QN24

8/9/2020

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Form 3 Mathematics

In an experiment involving two variables t and r, the following results were obtained

a) On the grid provided, draw the line of best fit for the data
b) The variables r and t are connected by the equation r= at + k where a and k are constant
Determine
i)The values of a and K:
ii) The equation of the line of best fit.
iii)The value of t when r = 0

answers

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K.C.S.E Mathematics Q & A - MODEL 2003PP2QN008

6/9/2020

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Form 3 Mathematics

Find the coordinates of the turning point of the curve whose equation is y =6 +2x – 4x²

Answer

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K.C.S.E Mathematics Q & A - MODEL 2003PP1QN022

4/9/2020

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Form 3 Mathematics

Complete the table below, for function y = 2x² + 4x - 3

ANSWER

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K.C.S.E Mathematics Q & A - MODEL 2002PP2QN016

24/8/2020

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Form 4 Mathematics

The equation of a circle is given by x² + 4x +y² – 5 = 0. Find the radius and the center of the circle.

Answer

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K.C.S.E Mathematics Q & A - MODEL 2009PP2QN24

23/8/2020

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Form 3 Mathematics

Amina carried out an experiment to determine the average volume of a ball bearing. He started by submerging three ball bearings in water contained in a
measuring cylinder. She then added one ball a time into the cylinder until the balls were nine.
The corresponding readings were recorded as shown in the table below

a) i) On the grid provided, Plot (x, y) where x is the number of ball bearings and y is the corresponding measuring cylinder, reading.
ii) Use the plotted points to draw the line of best fit
b) Use the plotted points to draw the line of best fit.
i) The average volume of a ball bearing;
ii) The equation of the line.
c) Using the equation of line in b(ii) above, determine the volume of the water in the cylinder.

answers

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K.C.S.E Mathematics Q & A - MODEL 2002PP1QN024

22/8/2020

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Form 3 Mathematics

ANswer

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K.C.S.E Mathematics Q & A - MODEL 2009PP2QN05

20/8/2020

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Form 3 Mathematics

A solution was gently heated, its temperature readings taken at intervals of 1 minute and recorded as shown in the table below

a) Draw the time-temperature graph on the grid provided
b) Use the graph to find the average rate of change in temperature Between t= 1.8 and t= 3.4

answer

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K.C.S.E Mathematics Q & A - MODEL 2007PP2QN23

13/8/2020

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Form 4 Mathematics

The table below shows the values of the length X ( in metres ) of a pendulum and the corresponding values of the period T ( in seconds) of its oscillations obtained in an experiment.

(a) Construct a table of values of log X and corresponding values of log T,
correcting each value to 2 decimal places
(b) Given that the relation between the values of log X and log T approximate to a linear law of the form m log X + log a where a and b are constants
(i) Use the axes on the grid provided to draw the line of best fit for the graph of log T against log X.

(ii) Use the graph to estimate the values of a and b
(b) Find, to decimal places the length of the pendulum whose period is 1 second

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

​Using the grid provided below, solve the simultaneous equations. x-4y = -5 -x+2y= 1 (3 marks)

Answer

Fill in the table below to 2 decimal places for the graph of y = sin x and y = 2sin (x-30) for the range – 180 £ x £180 (2mks)

â€‹Find the radius and the coordinate of the centre of the circle whose equation is

2x2 + 2y2 â€“ 6x + 10y + 9 = 0 (3mks)

​ANSWER

​Find the centre and the radius of a circle whose equation is.

​ANSWER

KCSE REVISION QUESTION AND ANSWERS ON GRAPHICAL METHODS MODEL05052023002

QUESTION

ANSWER

QUESTION

ANSWER

Answers

GRAPHICAL METHODS | Determining of the centre and radius of a circle | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION A

2X² + 2y² - 6X + 10y + 9 = 0 is the equation of a circle. Find the radius and the centre of the circle. (4mks)

(a) Given that y = 7 + 3x-x², complete the table below.(2mks)

Worked Solution

(b) On the grid provided and using a suitable scale draw the graph of y = 7 + 3x-x². (2mks)

(c) On the same grid draw the straight line and use your graph to solve the equation x² - 4x– 3 = 0. (3mks)

(d) Determine the coordinates of the turning point of the curve. (2mks)

Worked Solution:

​Draw the graph of

b) Using a suitable line solve

2x2 – 3x – 50 = 0 (5mks)

Worked solution:

Form 3 Mathematics

16

Form 3 Mathematics

9

Form 3 Mathematics

N.24

Form 3 Mathematics

24

Form 3 Mathematics

8

Form 3 Mathematics

22

Form 4 Mathematics

16

Form 3 Mathematics

24

Form 3 Mathematics

Form 3 Mathematics

5

Form 4 Mathematics

23

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Using the grid provided below, solve the simultaneous equations.
x-4y = -5
-x+2y= 1
(3 marks)

2x² + 2y² â€“ 6x + 10y + 9 = 0 (3mks)

ANSWER

Find the centre and the radius of a circle whose equation is.

ANSWER

Draw the graph of

2x² – 3x – 50 = 0 (5mks)