1. 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.

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 GCSE GCSE Edexcel Higher: November 2017 Paper 2, Q12
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.
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)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Higher: November 2017 Paper 2, Q12
Edexcel Higher: November 2017 Paper 2, Q12 P P 1 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.
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)
(Total for Question 1 is 3 marks)

5. GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q5
In the diagram, AB, BC and CD are three sides of a regular polygon K. 1
In the diagram, AB, BC and CD are three sides of a regular polygon K. D D
square
square
polygon K
polygon K A A C C B
square B
square
Regular 12-sided polygon
Regular 12-sided polygon
Show that polygon K is a hexagon.
You must show your working.
Show that polygon K is a hexagon.
You must show your working.
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

8. GCSE Edexcel Higher: June 2017 Paper 3, Q5
In the diagram, AB, BC and CD are three sides of a regular polygon K. D
square
polygon K A C B
square
Regular 12-sided polygon
Show that polygon K is a hexagon.
You must show your working.
(Total for Question 1 is 4 marks)

9. GCSE Total exterior angles = 360° 1 exterior angle = 360° 12 =30° 150°
Edexcel Higher: November 2017 Paper 2, Q12 P 1
Total exterior angles = 360°
1 exterior angle
= 360° 12 =30°
150° R
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°
180° −150° 2 = 30° 2 = 15° 15
(Total for Question 1 is 3 marks)

10. GCSE 120° 120° 90° 150° Exterior angle of a 12-sided polygon
Edexcel Higher: June 2017 Paper 3, Q5 1
In the diagram, AB, BC and CD are three sides of a regular polygon K. D
square
polygon K
120° A
120° C
90°
150° B
square
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)

11. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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