# Mat-Sec-Shape_and_Space_5_-_Bearings by xiaopangnv

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```									                 GCSE
Mathematics

Shape and Space
Unit 5 Bearings
Can you…                                 If not you need

•Name the bearing of X from Y            TOP      X from Y, Y from X

•Work out simple bearings                Practice 1: Simple Bearings

•Use bearings to locate a position       Practice 2: Locating a point

Try a test   TAIL
TOP
Remember
Bearings are always
measured from the
North line

They are always
measured in a clockwise
direction

What is the bearing of Y from X?   They must have 3 digits
What is the bearing of X from Y?

Lesson
Practice 1: Simple Bearings
1.
N
Diagram NOT
accurately drawn
A

63°
138°
P

B

Work out the bearing of
(i) B from P,
(i) P from A,

Next
2.       North
B

Measure and write down the bearing of B from A.
On the diagram, draw a line on a bearing of 107°
from A.

A

Lesson
Practice 2:
1.   The diagram shows the position of Colwyn Bay and the position of Blackpool.

N

N
Blackpool

The bearing of a ship from Colwyn Bay is 032°.
The bearing of the ship from Blackpool is 290°.
Draw an accurate diagram to show the position
Colwyn Bay                                                               of the ship.
Mark this position with a cross Label is S.

Next
2.            A map is drawn to a scale of 1:25 000
Two schools A and B are 12 centimetres apart on the map.
(a)   Work out the actual distance from A to B.

N

A                                                           B

B is due East of A.
C is another school.
The bearing of C from A is 064°.
The bearing of C from B is 312°.
(b)Complete the scale drawing
Mark, with a cross (´), the position of the school C.

Measure and write down the bearing of B from A.
On the diagram, draw a line on a bearing of 107°
Lesson                              from A.
1.     This is a map of part of Northern England.

Blackpool X
A plane flies in a straight line from
X Preston
Preston to Stoke-on-Trent.
X Halifax   N
(a)   How far does it fly?
X                                                  kilometres.
Liverpool                          X Manchester
X

(a) 90 km

Chester X
(b) Measure and write down the
bearing of Preston from Manchester     .
X Stoke-on-Trent

b) 317

Scale: 1 cm represents 10 km

Next

2.
N                            Diagram NOT
accurately drawn
H

N                                                                                          C
Hospital                                                   y
Cinema
A

72°
Art                                                                   360 – 90 – 108 = 162
gallery
180  162
y                  9
2

The diagram shows the position of each of three buildings in a town.                       72° + 9° = 81°
The bearing of the Hospital from the Art gallery is 072°.                                  So the bearing is 081
The Cinema is due East of the Hospital.
The distance from the Hospital to the Art gallery is equal to the distance from the Hospital to the Cinema.
Work out the bearing of the Cinema from the Art gallery.

Lesson

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