1. Estimating Gradient – Higher – GCSE Questions
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in a variety of sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. GCSE GCSE Edexcel Higher: June 2017 Paper 2, Q20
The diagram shows part of the graph of y = x2 – 2x + 3 1
The diagram shows part of the graph of y = x2 – 2x + 3 y y 10 10 8 8 6 6 4 4 2 2 -2 O 2 4 x -2 O 2 4 x
By drawing a suitable straight line, use your graph to find estimates
for the solutions of x2 – 3x – 1 = 0
By drawing a suitable straight line, use your graph to find estimates
for the solutions of x2 – 3x – 1 = 0
(2)
(2)
Q is the point on the graph of y = x2 – 2x + 3 where x = 2
(b) Calculate an estimate for the gradient of the graph at the point Q.
Q is the point on the graph of y = x2 – 2x + 3 where x = 2
(b) Calculate an estimate for the gradient of the graph at the point Q.
(3)
(3)
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

5. GCSE GCSE GCSE GCSE Edexcel Higher: June 2018 Paper 2, Q14
Distance travelled
(meters)
Distance travelled
(meters)
Time (seconds)
Time (seconds)
Use the graph to estimate the speed of the car at 4 seconds.
Use the graph to estimate the speed of the car at 4 seconds.
m/s
m/s
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Higher: June 2018 Paper 2, Q14
Edexcel Higher: June 2018 Paper 2, Q14 1 1
Distance travelled
(meters)
Distance travelled
(meters)
Time (seconds)
Time (seconds)
Use the graph to estimate the speed of the car at 4 seconds.
Use the graph to estimate the speed of the car at 4 seconds.
m/s
m/s
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

7. GCSE Edexcel Higher: June 2017 Paper 2, Q20
The diagram shows part of the graph of y = x2 – 2x + 3 y 10 8 6 4 2 -2 O 2 4 x
By drawing a suitable straight line, use your graph to find estimates
for the solutions of x2 – 3x – 1 = 0
(2)
Q is the point on the graph of y = x2 – 2x + 3 where x = 2
(b) Calculate an estimate for the gradient of the graph at the point Q.
(3)
(Total for Question 1 is 5 marks)

8. GCSE Edexcel Higher: June 2018 Paper 2, Q14 1 Distance travelled
(meters)
Time (seconds)
Use the graph to estimate the speed of the car at 4 seconds.
m/s
(Total for Question 1 is 3 marks)

9. Q 2 -0.2 3.6 Gradient = 2 3.6 =1.8 1.8 GCSE y = x + 4 y = x2 – 2x + 3
Edexcel Higher: June 2017 Paper 2, Q20 1
The diagram shows part of the graph of y = x2 – 2x + 3 y 10
y = x + 4 8 6 4 Q 2 2 -2 O 2 4 x
-0.2
3.6
By drawing a suitable straight line, use your graph to find estimates
for the solutions of x2 – 3x – 1 = 0
y = x2 – 2x + 3
Subtract 0 = x2 – 3x – 1
= y = x + 4
x = -0.2, 3.4
(2)
Q is the point on the graph of y = x2 – 2x + 3 where x = 2
(b) Calculate an estimate for the gradient of the graph at the point Q.
Gradient = =1.8
1.8
(3)
(Total for Question 1 is 5 marks)

10. 26 3 8.7 GCSE Edexcel Higher: June 2018 Paper 2, Q14 1
Distance travelled
(meters) 26 3
Time (seconds)
8.7
Use the graph to estimate the speed of the car at 4 seconds.
m/s
(Total for Question 1 is 3 marks)

11. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
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