# Bearings and Scale Drawings

In this worksheet, students draw a scale diagram and understand bearings to answer the questions.

Key stage:  KS 4

Curriculum topic:  Geometry and Measures

Curriculum subtopic:  Interpret and Use Bearings

Difficulty level:

### QUESTION 1 of 10

In a scale diagram, we plot a course according to the distances and bearings given in the question.  We use a suitable scale to reduce the size of the distances involved.

Example

A plane flies 94 miles on a bearing of 070º and then a further 56 miles due East.  It then makes another turn and flies another 87 miles on a bearing of 130º.

Use a scale drawing with a scale of 1cm to 10 miles to plot this journey and find the distance and bearing on which the plane must now fly to return directly to its starting point.

Here is a sketch of the scale drawing.  The red line shows the plane's route.

From the diagram, we can measure the return bearing as 276º.

The return distance is 21.1 cm which represents 211 miles.

A plane flies 50 miles due North and then a further 70 miles on a bearing of 030º.  It then makes a turn and flies another 130 miles on a bearing of 280º.

Use a scale drawing of 1cm to 20 miles to plot this journey on a piece of paper and find the distance in miles the plane must now fly to return directly to its starting point.

(just write the number)

A helicopter flies 40 miles due North and then 15 miles on a bearing of 060º.

Use a scale drawing of 1cm to 5 miles to plot this journey on a piece of paper and find the bearing on which the helicopter must now fly to return directly to its starting point.

(just write the number)

A ship sails 20 miles due North and then 40 miles on a bearing of 135º.

Use a scale drawing of 1cm to 4 miles to plot this journey on a piece of paper and find the bearing on which the ship must now sail to return directly to its starting point.

(just write the number)

A ship sails 180 miles due North and then 400 miles on a bearing of 300º.

Use a scale drawing of 1cm to 30 miles to plot this journey on a piece of paper and find the bearing on which the ship must now sail to return directly to its starting point.

(just write the number)

A hiker walks 1 mile due North and then 1 mile on a bearing of 045º.  He then walks 2 miles on a bearing of 285º.

Use a scale drawing of 10cm to 2 miles to plot this journey on a piece of paper and find the bearing on which the hiker must now walk to return directly to its starting point.

(just write the number)

• Question 1

A plane flies 50 miles due North and then a further 70 miles on a bearing of 030º.  It then makes a turn and flies another 130 miles on a bearing of 280º.

Use a scale drawing of 1cm to 20 miles to plot this journey on a piece of paper and find the distance in miles the plane must now fly to return directly to its starting point.

(just write the number)

160
161
162
163
164
EDDIE SAYS
162 miles on a bearing of 146°

• Question 2

A helicopter flies 40 miles due North and then 15 miles on a bearing of 060º.

Use a scale drawing of 1cm to 5 miles to plot this journey on a piece of paper and find the bearing on which the helicopter must now fly to return directly to its starting point.

(just write the number)

193
194
195
196
197
EDDIE SAYS
195°

• Question 3

A ship sails 20 miles due North and then 40 miles on a bearing of 135º.

Use a scale drawing of 1cm to 4 miles to plot this journey on a piece of paper and find the bearing on which the ship must now sail to return directly to its starting point.

(just write the number)

284
285
286
287
288
EDDIE SAYS
286°

• Question 4

A ship sails 180 miles due North and then 400 miles on a bearing of 300º.

Use a scale drawing of 1cm to 30 miles to plot this journey on a piece of paper and find the bearing on which the ship must now sail to return directly to its starting point.

(just write the number)

134
135
136
137
138
EDDIE SAYS
136°

• Question 5

A hiker walks 1 mile due North and then 1 mile on a bearing of 045º.  He then walks 2 miles on a bearing of 285º.

Use a scale drawing of 10cm to 2 miles to plot this journey on a piece of paper and find the bearing on which the hiker must now walk to return directly to its starting point.

(just write the number)

149
150
151
152
153
EDDIE SAYS
151°

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