Angles Regular Polygons Higher GCSE Questions These questions

Angles – Regular Polygons – 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 Edexcel Higher: November 2017 Paper 2, Q 12 P 1 R R Q Q RQ and QP are 2 sides of a regular 12 -sided polygon. RP is a diagonal of the polygon. Work out the size of angle QPR. You must show your working. (Total for Question 1 is 3 marks) GCSE Edexcel Higher: November 2017 Paper 2, Q 12 P 1 R R Q Q RQ and QP are 2 sides of a regular 12 -sided polygon. RP is a diagonal of the polygon. Work out the size of angle QPR. You must show your working. (Total for Question 1 is 3 marks)

GCSE 1 GCSE Edexcel Higher: June 2017 Paper 3, Q 5 In the diagram, AB, BC and CD are three sides of a regular polygon K. D square 1 Edexcel Higher: June 2017 Paper 3, Q 5 In the diagram, AB, BC and CD are three sides of a regular polygon K. D square polygon K A C B Regular 12 -sided polygon square Show that polygon K is a hexagon. You must show your working. (Total for Question 1 is 4 marks)

GCSE 1 Edexcel Higher: June 2017 Paper 3, Q 5 In the diagram, AB, BC and CD are three sides of a regular polygon K. D square polygon K A C B Regular 12 -sided polygon square Show that polygon K is a hexagon. You must show your working. (Total for Question 1 is 4 marks)

GCSE 1 Edexcel Higher: November 2017 Paper 2, Q 12 P Total exterior angles = 360° R 150° 30° Q RQ and QP are 2 sides of a regular 12 -sided polygon. RP is a diagonal of the polygon. Work out the size of angle QPR. You must show your working. Interior angle = 180 – 30 = 150° 15 (Total for Question 1 is 3 marks)

GCSE 1 Edexcel Higher: June 2017 Paper 3, Q 5 In the diagram, AB, BC and CD are three sides of a regular polygon K. D square polygon K A 120° 90° 150°B square C Regular 12 -sided polygon Show that polygon K is a hexagon. You must show your working. Exterior angle of a 12 -sided polygon = 360° ÷ 12 = 30° Interior Angle = 180° – 30° = 150° Angle ABC = 360° - 150° – 90° = 120° Total interior angles of a regular hexagon = (6 -2) x 180° = 720° Interior Angle of a regular hexagon = 720° ÷ 6 = 120° Therefore, K is a regular hexagon (Total for Question 1 is 4 marks)

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