Angles in Polygons: Foundation Tier Practice - Worksheets, Questions and Revision

10 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

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4.11F Angles in Polygons: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 50 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Work out the interior angle of a regular hexagon.
(Total for Question 1 is 1 mark)
2
Find the sum of the interior angles of a pentagon.
(Total for Question 2 is 2 marks)
3
A regular octagon has exterior angles all equal. Work out the size of one exterior angle.
(Total for Question 3 is 2 marks)
4
One interior angle of a regular polygon is 140 degrees. Work out the exterior angle and then find the number of sides of the polygon.
(a)Work out the size of the exterior angle.(1)
(b)Find the number of sides of the polygon.(1)
(Total for Question 4 is 2 marks)
5
A regular polygon has 12 sides. Work out an interior angle of this polygon.
(Total for Question 5 is 3 marks)
6
The angles in a quadrilateral ABCD are in the ratio 2:3:4:5. Work out the size of the largest angle. Give your answer to 1 decimal place.
(Total for Question 6 is 3 marks)
7
A regular polygon has interior angle 165 degrees. Find the number of sides of the polygon.
(Total for Question 7 is 4 marks)
8
In the regular polygon shown, each exterior angle is 30 degrees. Use this information to find:

a) the number of sides of the polygon,

b) the size of each interior angle.

(Work clearly and show your steps.)
(a)Find the number of sides.(2)
(b)Find the size of each interior angle.(3)
(Total for Question 8 is 5 marks)
9
The regular polygon below has n sides. The size of each interior angle is 156 degrees. Find n. Show your method clearly.
(a)Find the exterior angle.(2)
(b)Write an equation to find n using the exterior angle, then find n.(3)
(c)Find the interior angle you would get if the polygon had one fewer side. Show your calculation and give the size.(3)
(Total for Question 9 is 8 marks)
10
A classroom display shows three regular polygons side by side: a regular decagon (10 sides), a regular heptagon (7 sides) and a regular 18-sided polygon. Use the display to answer the parts below.
(a)Work out the interior angle of the regular decagon.(2)
(b)Work out the interior angle of the regular heptagon (7 sides). Give your answer to 1 decimal place.(3)
(c)The class teacher asks the students to find the difference between the interior angles of the 18-sided polygon and the heptagon. Find this difference and give the answer to 1 decimal place.(5)
(Total for Question 10 is 10 marks)
Mark scheme · 4.11F Angles in Polygons: Foundation Tier Practice

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10