Bearings and the walk they draw

Mathematics · Geometry · ages 14-15

Name ______________________ Date ____________

The bearing of B from A is 070 degrees. What is the back bearing, from B to A, in degrees?
Answer: ______________
Which of these is written as a proper three-figure bearing?
- 75°
- 075°
- 750°
- 7.5°
The bearing of B from A is 070°. What is the back bearing, from B to A, in degrees?
Answer: ______________
A bearing of 60 degrees must use three figures. How is it written?
- 060 degrees
- 60 degrees
- 600 degrees
A ship sails 4 km due east on a bearing of 090°. On a scale drawing using 1 cm to 1 km, how long is this leg drawn?
- 4 mm
- 9 cm
- 4 cm
- 40 cm
Kim says the back bearing always means adding 180 degrees. Is Kim right?
Circle one: True False
A ship sails on a bearing of 135°. What is the back bearing in degrees?
Answer: ______________
A ship sails 4 km due east on a bearing of 090 degrees. At 1 cm to 1 km, how long is this leg drawn?
- 2 cm
- 4 cm
- 8 cm
A scale drawing shows a 6 cm leg on a bearing of 045 degrees. The scale is 1 cm to 2 km. What is the real distance in kilometres?
Answer: ______________
A scale drawing shows a 6 cm leg for a ship sailing on a bearing of 045°. The scale is 1 cm to 2 km. What is the real distance in kilometres?
Answer: ______________

Answer key

For grown-ups. Fold this page away before handing over the rest.

250 · Below 180 you add: 70 plus 180 is 250 degrees.
075° · Bearings use three figures from 000° to 360°, so 075° is correct.
250 · The back bearing differs by 180°: 70 + 180 = 250°.
060 degrees · Bearings always use three figures, so 60 degrees becomes 060 degrees.
4 cm · At 1 cm per kilometre, 4 km draws 4 cm.
False · Past 180 you subtract. Adding to 200 would give 380, which is not a bearing.
315 · 135° is below 180°, so add 180: 135 + 180 = 315°.
4 cm · Each kilometre draws one centimetre, so 4 km draws 4 cm.
12 · Measure the leg, then multiply: 6 times 2 is 12 km.
12 · Each centimetre means 2 km, so 6 cm means 6 x 2 = 12 km.