Angles

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Foundation
1
Angles
The angles marked a,b,c,d are all equal in size.
a
b c
d
What is the size of each of these angles?
2
3RE
Naaila is listening to her radio and adjusts the
aerial so that the sound is clearer.
32o
STARTING
POSITION
FINISHING
POSITION
Through how many degrees must she open the aerial to move it
from the starting position to the finishing position?
3
2KU
Calculate the size of the angle marked x in the diagram.
154o
x
2KU
4
A musical birthday card must be fully open before the music can be heard.
Andy has opened his card to an angle of 26°.
26o
Through how many more degrees must the card
be opened before the music can be heard?
Page 1 of 5
2KU
5
Calculate the size of the angle marked in black.
(2KU)
6
Calculate the size of angle X.
2KU
7
It is one o'clock.
Calculate the size of the shaded angle.
8
3KU
The angle at each corner of
this gate is a right angle.
Calculate the size of
the shaded angle.
(2KU)
9
A ladder is placed against a wall.
It makes an angle of 71 with the ground.
Calculate the size of the shaded angle.
Page 2 of 5
2KU
10(a) Name the type of angle shown below.
1KU
(b)
Use a protractor to measure the angle below.
1KU
11
The wedge shown is used to hold a door open.
2KU
24
Calculate the size of the shaded angle.
12
The diagram shows the switch for a gas heater.
The marks are equally spaced around the switch.
Through how many degrees should the switch be
turned to move it from OFF to IGNITION?
3KU
13
Calculate the size of
the shaded angle.
2KU
Page 3 of 5
14
Identical cheese wedges are packed in a circular box.
15
The diagram below shows a radar screen at an airport.
The points P and Q show the positions
of two aeroplanes.
From the airport, the bearing of P
is 090.
(a)
Write down the bearing of Q from
the airport.
(1KU)
b)
The diagram below shows a different
radar screen at the airport.
The lines are equally spaced around the screen.
The point R shows the position of
another aeroplane.
Find the bearing of R from the airport.
(3RE)
Page 4 of 5
16
A flagpole makes an angle of 62 with a wall.
Calculate the size of the shaded angle.
(2KU)
17
The wire of an acrobat's swing makes an angle of 73 with the bar above.
Calculate the size of the shaded angle.
18
19
Calculate the size of the shaded
angle in this circle.
A bridge is raised 58 to allow
a ship to pass through.
Calculate the size of the shaded angle.
(2KU)
Page 5 of 5
2KU
2KU
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