Linear Graphs (OCR GCSE Maths: Higher): Exam Questions

3 hours52 questions
1
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3 marks

On the grid, draw the graph of y equals space 3 x space long dash space 2 for values of x from long dash 1 space to space 3

q1-1-easy-2-16-linear-graphs-edexcel-gcse-maths

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2
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3 marks

Line bold L is drawn on the grid below.

q2-easy-2-16-linear-graphs-edexcel-gcse-maths

Find the equation for the straight line bold L.
Give your answer in the form y space equals space m x space plus space c

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3
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3 marks

On the grid, draw the graph of space y space equals space 1 half x space plus space 5 space for values of x from negative 2 space to space 4

0rcvwDEN_q3-1-easy-2-16-linear-graphs-edexcel-gcse-maths

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4a
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2 marks

Complete the table of values for y space equals space 2 x space plus space 5

x

negative 2

negative 1

0

1

2

y

1

 

5

 

 

4b
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2 marks

On the grid, draw the graph of y equals space 2 x space plus space 5 for values of x from x space equals negative 2 space to space x equals space 2

q4-b-easy-2-16-linear-graphs-edexcel-gcse-maths

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5
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3 marks

On the grid, draw the graph of y space equals space 8 long dash space 2 x space for values of x from —1 to 4

q5-easy-2-16-linear-graphs-edexcel-gcse-maths

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6
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3 marks

The line bold L is shown on the grid.

q6-easy-2-16-linear-graphs-edexcel-gcse-maths

Find an equation for bold L.

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7
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3 marks

On the grid below, draw the graph of y space equals space 2 x space long dash space 3 for values of x from long dash 2 space to space 4

q7-easy-2-16-linear-graphs-edexcel-gcse-maths

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8a
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1 mark

This graph shows part of a straight line.

q7-paper4-nov2020-ocr-gcse-maths

Show that the gradient of the line is 2.5.

8b
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2 marks

Write down the equation of the line.

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9
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1 mark

The straight line bold L has equation 2 y plus 7 x equals 10

Find the coordinates of the point where bold L crosses the y‐axis.

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10
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2 marks

Write down an equation of the straight line with gradient –3 and which passes through the point with coordinates (0, 5)

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11
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1 mark

Write down an equation of a line that is parallel to the line with equation y space equals space 7 space – space 4 x

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12
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1 mark

A line has equation 3 y space equals space 3 x space – space 2

Circle the coordinates of the intercept of the line with the y-axis.

(0, 1)

 (0, –1)

open parentheses 0 comma 2 over 3 close parentheses

open parentheses 0 comma negative 2 over 3 close parentheses

      

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13
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1 mark

Two straight lines intersect at point P.

q13-paper2h-nov2017-aqa-gcse-maths

Circle the coordinates of P.

left parenthesis – 3 comma space – 1 right parenthesis

open parentheses negative 1 space comma negative space 1 third close parentheses

left parenthesis – 1 comma space – 3 right parenthesis

open parentheses negative space 1 third space comma space minus 1 space close parentheses

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1
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4 marks

On the grid, draw the graph of y space equals space 2 x minus space 3 for values of x from negative 2 space to space 3

q1-1-medium-2-16-linear-graphs-edexcel-gcse-maths

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2
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4 marks

On the grid, draw the graph of y space equals space 3 x space plus space 2 for values of x from negative 2 space to space 2

q2-1-medium-2-16-linear-graphs-edexcel-gcse-maths

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3
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2 marks

The equation of the line straight L subscript 1 is y space equals space 3 x space minus space 2
The equation of the line straight L subscript 2 is 3 y minus space 9 x plus space 5 space equals space 0

Show that these two lines are parallel.

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4
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3 marks

bold L subscript 1 and bold L subscript 2 are parallel lines.

The equation of bold L subscript 1 is space y space equals space 3 x space plus space 2 space
bold L subscript 2 passes through the point  left parenthesis 3 comma space 4 right parenthesis.

Find an equation for bold L subscript 2.

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5
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3 marks

The diagram shows a straight line, straight L subscript 1, drawn on a grid.

q5-medium-2-16-linear-graphs-edexcel-gcse-maths

A straight line, straight L subscript 2, is parallel to the straight line straight L subscript 1 and passes through the point space left parenthesis 0 comma space minus 5 right parenthesis.
Find an equation of the straight line straight L subscript 2.

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6a
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2 marks

The line l subscript 1 has equation 3 x space plus space 5 y space minus 2 space equals space 0

Find the gradient of l subscript 1.

6b
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3 marks

The line l subscript 2 is perpendicular to l subscript 1 and passes through the point (3, 1).

Find the equation of l subscript 2 in the form y space equals space m x space plus space c, where m and c are constants.

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7
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4 marks

The graph shows two parallel lines, Line A and Line B.

q8-paper6-june2019-ocr-gcse-maths

Line A has equation y equals 6 x plus 7.
Line B passes through the point (4, 26).

Find the equation of Line B.

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8a
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4 marks

Point A has coordinates (-4, 6) and point B has coordinates (8, 3).

q5-paper6-june2017-ocr-gcse-maths

i) Find the gradient of line AB.

[2]

ii) Find the equation of line AB.

[2]

8b
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2 marks

Point P has coordinates (0, -2).

Write down the equation of the line parallel to line AB that passes through P.