GCSE. ANGLES IN POLYGONS [ESTIMATED TIME: 60 minutes] (+ IGCSE) EXAM QUESTION PRACTICE 1. [4 marks] Diagram NOT accurately drawn
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1 ANGLES IN POLYGONS [ESTIMATED TIME: 60 minutes] GCSE (+ IGCSE) EXAM QUESTION PRACTICE 1. [4 marks] x The diagram shows a regular 5-sided polygon. (a) Work out the value of x. x =... (2) y The diagram shows a regular 6-sided polygon. (b) Work out the value of y. y =... (2) Questions compiled
2 2. [5 marks] "#1!3$+82+/!%#-4%!+!218')+2!BZ%$313!&-)08-.Q!4$,#!*1.,21!!9! \$+82+/!DE< +**'2+,1)0!32+4. "] #] E-2U!-',!,#1!N+)'1!-I J+K! "Q J(K! #9 " [!! I$K # [!! IJK PO 3. [2 marks] Work out the size of an exterior angle of a regular polygon with 8 sides....
3 4. [4 marks] Four of the angles of a pentagon are 97, 114, 127 and 84. Work out the size of the fifth angle (Total for Question 2 is 4 marks) [2 marks] Work out the size of each exterior angle of a regular polygon with 15 sides....
4 6. [5 marks] Each exterior angle of a regular polygon is 15 (a) How many sides has the regular polygon? The diagram shows 3 identical regular pentagons.... (2) y (b) Work out the value of y. y =... (3)
5 7. [5 marks] (a) The diagram shows a regular octagon, with centre O. blank O x Work out the value of x. (b) A regular polygon has an exterior angle of 30. Work out the number of sides of the polygon. x =... (3)... (2) Q3
6 8. [4 marks] (a) Find the sum of the interior angles of a polygon with 7 sides.... (2) x The diagram shows a regular polygon with 7 sides. (b) Work out the value of x. Give your answer correct to 1 decimal place.... (2)
7 9. [4 marks] The size of each exterior angle of a regular polygon is 18. (a) Work out how many sides the polygon has. (b) Work out the sum of the interior angles of the polygon.... (2)... (2) Q [4 marks]
8 11. [4 marks] Here is a regular 10-sided polygon. Work out the value of x. Show your working clearly. x DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA x =...
9 12. [5 marks] P A The diagram shows two congruent regular pentagons and part of a regular n-sided polygon A. Two sides of each of the regular pentagons and two sides of A meet at the point P. Calculate the value of n. Show your working clearly. n =...
10 13. [5 marks] square regular hexagon square A The diagram shows part of a tiling pattern. The tiling pattern is made from three shapes. Two of the shapes are squares and regular hexagons. The third shape is a regular n-sided polygon A. Work out the value of n. n =... Q [4 marks] 0L'+*%f'+-?+'#@L+%&5'(%-(+#&8.'+-?+#+('8,.#(+=-./8-&+%*+CC+5%$'*+5L'+*%f'+-?+'#@L+'"5'(%-(+ #&8.'; S-(P+-,5+5L'+&,$F'(+-?+*%2'*+5L'+=-./8-&+L#*; ;;;;;;;;;;;;;;;;;;;; ONP
11 15. [5 marks] The size of each interior angle of a regular polygon with n sides is 140 Work out the size of each interior angle of a regular polygon with 2n sides....
12 16. [5 marks] /. =<h - a$+82+/!hx; +**'2+,1)0!32+4. "#1!%$31%!-K!+.!1X'$)+,12+)!,2$+.8)1!-./!+.3!,4-!:79><,:!&-)08-.%!/11,!+,!,#1!&-$.,!-9 -.!+.3!-0!+21!+3^+*1.,!%$31%!-K!+!218')+2!Z<f%$313!&-) /!+.3!-0!+21!+3^+*1.,!%$31%!-K!+!218')+2!'f%$313!&-)08-.9 D-2W!-',!,#1!O+)'1!-K!'9 0 '!_!! QPU 17. [3 marks] The diagram shows part of a regular polygon. The interior angle and the exterior angle at a vertex are marked. The size of the interior angle is 7 times the size of the exterior angle. Work out the number of sides of the polygon....
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