Syllabus Edition

First teaching 2021

Last exams 2024

|

Linear Graphs (CIE IGCSE Maths: Core)

Exam Questions

1 hour22 questions
1a
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2 marks

qp23-0580-12-paper-1-may-2020-cie-igcse-maths

Find the gradient of linespace L.

1b
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1 mark

Write down the equation of line L in the form y equals m x plus c.

y equals..........................

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2a
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1 mark

Write down the gradient of the line y equals 2 x minus 3.

2b
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2 marks

Complete the table of values for  y equals 2 x minus 3

x -2 0 3
y      

2c
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1 mark

On the grid, draw the graph of y equals 2 x minus 3 for negative 2 less-than or slanted equal to x less-than or slanted equal to 3.

qp9c-0580-12-paper-1-march-2020-cie-igcse-maths

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3a
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2 marks

The line L is shown on the grid.

qp20-0580-12-paper-1-oct-nov-2019-cie-igcse-maths

Find the gradient of the line L.

3b
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1 mark

Find the equation of the line L in the form y space equals m x plus c.

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4a
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1 mark

The diagram shows a point P and a line L.

q22-058011-mayjune2019-cie-igcse-maths-core

Write down the co-ordinates of point P.

4b
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2 marks

Find the gradient of line L.

4c
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2 marks

Write down the equation of line L in the form y space equals space m x space plus space c.

y = ...................................... 

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5a
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1 mark

q20-058012-octnov2018-cie-igcse-maths-core

Write down the co-ordinates of point A.

5b
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1 mark

On the grid, plot point B space left parenthesis 1 comma space – 3 right parenthesis.

5c
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2 marks

Find the gradient of line L.

5d
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1 mark

Find the equation of line L in the form y space equals space m x plus space c.

y space equals ...........................  

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6a
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1 mark

For the line y space equals space 4 x space minus 6, write down

the gradient,

6b
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1 mark

the y-intercept.

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7a
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1 mark

q23-058013-octnov2018-cie-igcse-maths-core

Write down the co-ordinates of point A.

7b
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1 mark

Plot the point C at left parenthesis 4 comma space minus 3 right parenthesis.

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8
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1 mark

Line L has the equation y equals 5 x plus 12.

Write down the gradient of line L.

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1
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2 marks

q20-0580-0980-w20-oct-nov-2020-cie-igcse-maths-1

Find the equation of line space L spacein the form y equals m x plus c.

y equals..........................

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2a
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4 marks

qp16a-0580-12-paper-1-nov-2020-cie-igcse-maths

i)
Write down the coordinates of point A.
[1]
ii)
On the grid, plot the point (2, -3).
[1]
iii)
The line L is shown on the grid.

Find the equation of the line L in the form y equals m x plus c.

y equals...............................[2]

2b
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1 mark

Write down the equation of the line parallel to y equals 5 x plus 6 that passes through (0, -7).

y equals..................................

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3
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1 mark

Find the co-ordinates of the point where the line y space equals space 3 x minus space 8 crosses the y-axis.

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4
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3 marks

q8a-058032-march2019-cie-igcse-maths-core

Line L is drawn on the grid.

Find the equation of line L.
Give your answer in the form y equals m x plus c.

y space equals ............................. 

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5
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5 marks

q4b-058031-octnov2018-cie-igcse-maths-core

Line L is drawn on the grid.

i)
Find the equation of line L in the form y space equals space m x space plus space c.

y space equals space.............................. [3]

ii)
Line P is parallel to line L and passes through the point left parenthesis 0 comma space minus 1 right parenthesis.

On the grid above, draw line P for negative 5 space less-than or slanted equal to space x space less-than or slanted equal to space 5.

[2]

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6
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2 marks

A line, M, has the equation y equals 8 x plus 3.

Write down the equation of the line parallel to line M that passes through the point (0, 6).

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1
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1 mark

Write down the equation of the line parallel to y equals 5 x plus 6 that passes through (0, -7).

y equals..................................

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2a
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1 mark

A straight line, l, has equation y equals 5 x plus 12

Write down the gradient of line l.

2b
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2 marks

Find the coordinates of the point where line l crosses the x-axis.

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3a
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2 marks

qp22-0580-11-paper-1-may-2020-cie-igcse-maths

Find the equation of line L in the form y equals m x plus c

y = ..................................................

3b
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1 mark

On the grid, draw a line that is perpendicular to line L.

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4a
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3 marks

The line L is shown on the grid.

qp6-0580-31-paper-3-oct-nov-2019-cie-igcse-maths-1

Find the equation of the line L in the form y space equals m x plus c.

y = ................................................... 

4b
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2 marks

The equation of a different line is y equals 3 x minus 4.

i)
Write down the gradient of this line.
[1]
ii)
Write down the co-ordinates of the point where this line crosses the y˗axis.
[1]
4c
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3 marks

On the grid, draw the graph of y equals negative 2 x plus 1 for negative 4 less-than or slanted equal to x less-than or slanted equal to 5.

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5a
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2 marks
i)
Write down the co-ordinates of the point where the line y equals 6 x minus 3 crosses the y-axis.
[1]
ii)
Write down the equation of the straight line that
  • passes through the origin

   and

  • is parallel to y equals 6 x minus 3.

[1]

5b
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2 marks

q8b-058032-mayjune2019-cie-igcse-maths-core

i)
On the grid, draw the line through the point open parentheses negative 3 comma negative 2 close parentheses that is perpendicular to the y-axis.
[1]
ii)
On the grid, draw the line y equals negative 2 x .
[1]

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6
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4 marks

The points (9, a) and (b, 3) lie on the line y equals 2 over 3 x minus 7.

Work out the value of

i)
a,
a equals.......................... [2]
ii)
b.
b equals.......................... [2]

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7
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5 marks
i)
Write down the gradient of the line y space equals negative 4 x space plus space 7.

[1]

ii)
Write down the equation of a line parallel to y space equals space 2 x space plus space 3.

y space equals..................... [1]

iii)
Write down the co-ordinates of the point where the graph of y space equals space 6 x space minus 5 crosses the y-axis.
[1]
iv)
The point (k, 7) lies on the line y space equals space 4 x space minus space 3..
Find the value of k.

k space equals ................................. [2]

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8
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5 marks

A comma space B comma space C and D are four equations of straight line graphs.

q11a-058032-march2018-cie-igcse-maths-core

i)
Write down the letter of the graph that

a)
passes through the point open parentheses 1 comma negative 1 close parentheses,
[1]
b)
has a y- intercept of 4,
[1]
c)
has a gradient of -4.

[1]

ii)
The point open parentheses p comma space minus 26 close parentheses lies on the line y equals negative 3 x plus 4.

Work out the value of p.
p = ................................ [2]

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