Transformations – Combinations – 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: November 2017 Paper 2, Q5 y 1 y 7 7 6 6 5 5 4 4 3 3 2 2 1 1 −7 −6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 7 x −7 −6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 7 x −1 −1 −2 F −2 F −3 −3 −4 −4 −5 −5 −6 −6 −7 −7 Rotate trapezium F 180° about the origin. Label the new trapezium A. (b) Translate trapezium F by the vector Label the new trapezium B. Rotate trapezium F 180° about the origin. Label the new trapezium A. (b) Translate trapezium F by the vector Label the new trapezium B. (1) (1) −3 −2 −3 −2 (1) (1) (Total for Question 1 is 2 marks) (Total for Question 1 is 2 marks)

GCSE GCSE Edexcel Higher: June 2017 Paper 2, Q9 The diagram shows triangle A draw on a grid. 1 The diagram shows triangle A draw on a grid. y y 5 5 4 4 3 3 2 2 1 1 x x O O −5 −4 −3 −2 −1 1 2 3 4 5 −5 −4 −3 −2 −1 1 2 3 4 5 −1 −1 −2 −2 A A −3 −3 −4 −4 −5 −5 Sue reflects triangle A in the x-axis to get triangle B. She then reflects triangle B in the line y = x to get triangle C. Pat reflects triangle A in the line y = x to get triangle D. He is then going to reflect triangle D in the x-axis to get triangle E. Pat says that triangle E should be in the same position as triangle C. Is Pat correct? You must show how you get your answer. Sue reflects triangle A in the x-axis to get triangle B. She then reflects triangle B in the line y = x to get triangle C. Pat reflects triangle A in the line y = x to get triangle D. He is then going to reflect triangle D in the x-axis to get triangle E. Pat says that triangle E should be in the same position as triangle C. Is Pat correct? You must show how you get your answer. (Total for Question 1 is 3 marks) (Total for Question 1 is 3 marks)

GCSE GCSE Edexcel Higher: May 2018 Paper 1, Q7 6 6 5 5 4 4 3 3 F 2 F 2 1 1 −7 −6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 7 x −7 −6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 7 x −1 −1 −2 −2 −3 −3 −4 −4 −5 −5 −6 −6 −7 −7 Shape F is reflected in the line x = −2 to give shape G. Shape G is reflected in the line y = − 1 to give shape H. Describe the single transformation that will map shape F to shape H. Shape F is reflected in the line x = −2 to give shape G. Shape G is reflected in the line y = − 1 to give shape H. Describe the single transformation that will map shape F to shape H. (Total for Question 1 is 2 marks) (Total for Question 1 is 2 marks)

GCSE Edexcel Higher: November 2017 Paper 2, Q5 y 7 6 5 4 3 2 1 −7 −6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 7 x −1 −2 F −3 −4 −5 −6 −7 Rotate trapezium F 180° about the origin. Label the new trapezium A. (b) Translate trapezium F by the vector Label the new trapezium B. (1) −3 −2 (1) (Total for Question 1 is 2 marks)

GCSE Edexcel Higher: June 2017 Paper 2, Q9 The diagram shows triangle A draw on a grid. y 5 4 3 2 1 x O −5 −4 −3 −2 −1 1 2 3 4 5 −1 −2 A −3 −4 −5 Sue reflects triangle A in the x-axis to get triangle B. She then reflects triangle B in the line y = x to get triangle C. Pat reflects triangle A in the line y = x to get triangle D. He is then going to reflect triangle D in the x-axis to get triangle E. Pat says that triangle E should be in the same position as triangle C. Is Pat correct? You must show how you get your answer. (Total for Question 1 is 3 marks)

GCSE Edexcel Higher: May 2018 Paper 1, Q7 6 5 4 3 F 2 1 −7 −6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 7 x −1 −2 −3 −4 −5 −6 −7 Shape F is reflected in the line x = −2 to give shape G. Shape G is reflected in the line y = − 1 to give shape H. Describe the single transformation that will map shape F to shape H. (Total for Question 1 is 2 marks)

GCSE Edexcel Higher: November 2017 Paper 2, Q5 y 7 6 5 4 3 A 2 1 B −7 −6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 7 x −1 −2 F −3 −4 −5 −6 −7 Rotate trapezium F 180° about the origin. Label the new trapezium A. (b) Translate trapezium F by the vector Label the new trapezium B. (1) −3 −2 (1) (Total for Question 1 is 2 marks)

y = x GCSE He is not correct. Edexcel Higher: June 2017 Paper 2, Q9 1 The diagram shows triangle A draw on a grid. y y = x 5 4 E 3 B 2 1 x O −5 −4 −3 −2 −1 1 2 3 4 5 −1 −2 A −3 D C −4 −5 Sue reflects triangle A in the x-axis to get triangle B. She then reflects triangle B in the line y = x to get triangle C. Pat reflects triangle A in the line y = x to get triangle D. He is then going to reflect triangle D in the x-axis to get triangle E. Pat says that triangle E should be in the same position as triangle C. Is Pat correct? You must show how you get your answer. He is not correct. C is a rotation of A 90° anticlockwise around O. E is a rotation of A 90° clockwise around O (Total for Question 1 is 3 marks)

GCSE Rotation 180° around (-2,-1) Edexcel Higher: May 2018 Paper 1, Q7 6 5 4 3 F 2 G 1 −7 −6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 7 x −1 −2 −3 −4 H −5 −6 −7 Shape F is reflected in the line x = −2 to give shape G. Shape G is reflected in the line y = − 1 to give shape H. Describe the single transformation that will map shape F to shape H. Rotation 180° around (-2,-1) (Total for Question 1 is 2 marks)

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