Paper 1 June 2025 Foundation tier, Question 25 3 marks
The straight line L is shown on the grid.
Find an equation for L. Give your answer in the form y = mx + c
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Edexcel GCSE Maths
Topic questions Pure mathematics Gradient and intercept
Gradient and intercept
18 questions · 54 marks · about 1 hour
Gradient and intercept questions
TopicGradient and intercept▾
Edexcel 1MA1 Gradient and intercept 18 questions
Paper 3 November 2024 Foundation tier, Question 27 3 marks
Line L is drawn on the grid.
Find an equation for line L.
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Paper 1 June 2024 Foundation tier, Question 25, also on the Higher paper 4 marks
Here is a straight line L drawn on a grid.
(a)
[3]
Find an equation for L.
M is a different straight line with equation y = 5x
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(b)
[1]
Write down the equation of a straight line parallel to M.
Paper 1 June 2024 Higher tier, Question 6, also on the Foundation paper 4 marks
Here is a straight line L drawn on a grid.
(a)
[3]
Find an equation for L.
M is a different straight line with equation y = 5x
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(b)
[1]
Write down the equation of a straight line parallel to M.
Paper 1 November 2023 Higher tier, Question 9 4 marks
To cook rice the number of cups of rice (x): the number of cups of water (y) = 4: 5
(a)
[2]
Use this information to draw a graph to show the relationship between the number of cups of rice and the number of cups of water needed to cook rice.
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(b)(i)
[1]
Find the gradient of the line drawn in part (a).
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(b)(ii)
[1]
Explain what this gradient represents.
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Paper 3 November 2023 Foundation tier, Question 28, also on the Higher paper 3 marks
The line L is shown on the grid.
Find an equation for L.
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Paper 3 November 2023 Higher tier, Question 9, also on the Foundation paper 3 marks
The line L is shown on the grid.
Find an equation for L.
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Paper 3 June 2022 Higher tier, Question 8 3 marks
An electricity company charges the same fixed amount for each unit of electricity used. David uses this graph to work out the total cost of the electricity he has used.
(a)
[2]
Work out the gradient of the straight line.
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(b)
[1]
What does the gradient of this line represent?
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Paper 1 November 2021 Foundation tier, Question 28 2 marks
The equation of a straight line L is y = 3 – 4 x
(i)
[1]
Write down the gradient of L.
(ii)
[1]
Write down the coordinates of the point where L crosses the y‑axis.
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Paper 2 November 2020 Foundation tier, Question 29 1 mark
Write down the gradient of the line with equation y = 2 x + 3
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Paper 2 November 2020 Higher tier, Question 12 3 marks
The graph gives information about the volume, v litres, of petrol in the tank of Jim’s car after it has travelled a distance of d kilometres.
(a)
[2]
Find the gradient of the graph.
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(b)
[1]
Interpret what the gradient of the graph represents.
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Paper 1 November 2018 Foundation tier, Question 12 3 marks
Tom uses his lorry to deliver bricks.
You can use this graph to find the delivery cost for different distances.
For each delivery, there is a fixed charge plus a charge for the distance.
(a)
[1]
How much is the fixed charge?
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(b)
[2]
Tom makes two deliveries of bricks. The distance of one delivery is 20 miles more than the distance of the other delivery.
Work out the difference between the two delivery costs.
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Paper 2 November 2018 Foundation tier, Question 25, also on the Higher paper 3 marks
A is the point with coordinates (5, 9) B is the point with coordinates (d, 15)
The gradient of the line AB is 3
Work out the value of d.
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Paper 2 November 2018 Higher tier, Question 6, also on the Foundation paper 3 marks
A is the point with coordinates (5, 9) B is the point with coordinates (d, 15)
The gradient of the line AB is 3
Work out the value of d.
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Paper 2 June 2018 Foundation tier, Question 22, also on the Higher paper 3 marks
The line L is shown on the grid.
Find an equation for L.
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Paper 2 June 2018 Higher tier, Question 3, also on the Foundation paper 3 marks
The line L is shown on the grid.
Find an equation for L.
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Paper 3 June 2018 Foundation tier, Question 13 2 marks
Also involves Straight line graphs
Here are six straight line graphs.
Match each equation in the table to the correct graph. Write the letter of the graph in the table.
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Paper 3 June 2018 Higher tier, Question 12 4 marks
The graph shows the volume of liquid (L litres) in a container at time t seconds.
(a)
[2]
Find the gradient of the graph.
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(b)
[1]
Explain what this gradient represents.
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(c)
[1]
The graph intersects the volume axis at L = 4
Explain what this intercept represents.
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