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.

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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)

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)

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)

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)

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 = 2 3.6 =1.8 1.8 (3) (Total for Question 1 is 5 marks)

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)

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