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End-of-unit review

End-of-unit review

1 A regular polygon has 15 sides.
Work out:
a the exterior angle b the interior angle.

2 The diagram shows a regular nonagon. O is the centre of the nonagon.
a Work out the size of the angle labelled a°.
b Explain why triangle OPQ is isosceles.
c Calculate the size of the angle labelled b°. P
d Use the answer to part c to explain why the interior angle O a°
of a regular nonagon is 140°.
b°
Q

3 The angles of a pentagon are a°, (a + 10)°, (a + 20)°, (a + 30)° and (a + 40)°. Work out the size of the
largest angle of the pentagon.
4 ABD is a triangle. AB is parallel to EC. A
a Work out the size of the angle labelled a°. Give a reason a°
for your answer.
b Work out the size of the angle labelled b°. Give a reason E 46°
for your answer.
b° 28°
D C B

5 PRT is a triangle. P
Work out the values of c and d. Give reasons for your answers. 87° Q
c°

105° 33° R
d° S
T
6 A cuboid has sides of length 1 cm, 4 cm and 6 cm.
Draw two different diagrams of the cuboid on isometric paper.

A
7 This is an isometric drawing of a shape.
Use squared paper to draw: D
a a plan view from direction A
b elevations in the directions of B, C and D.

B C

54 5 Shapes