GCSE Higher - South Wolds

GCSE Foundation
ANGLE PROPERTIES OF POLYGONS
Homework Sheet
1a)
2.
Write down the name of this
polygon.
p
q
[1]
Not to scale
b) What is the name for a 6
sided polygon?
[1]
The diagram shows a regular
pentagon drawn inside a circle.
c) What is the exterior angle
of an octagon?
Calculate
(a) the angle at the centre, p,
[1]
(b) the interior angle, q.
[2]
3a) Calculate an interior angle of
a regular 9-sided polygon.
[3]
4.
(a)
ABCDE is a regular pentagon
drawn on a circle, centre O.
A
b) Calculate the sum of the
interior angles of a 20
sided shape [3]
c) Is this a tessellation?
Why? [2]
B
E
O
D
d) Draw a tessellation of 6
hexagons on isometric
paper
C
Explain why angle AOB is 72°.
[1]