Bearings journeys without scale drawings

Mathematics · Geometry · ages 15-16

Name ______________________ Date ____________

A boat sails 6 km east then 8 km north. How far is it from the start in km?
Answer: ______________
A ship sails bearing 060, then turns onto bearing 150. What angle did it turn through?
- 60 degrees
- 150 degrees
- 90 degrees
- 30 degrees
How are bearings measured?
- Anticlockwise from south
- Clockwise from north
- Clockwise from east
Tom says a bearing of 60 degrees must be written 060. Is Tom right?
Circle one: True False
A plane flies bearing 040, then bearing 130. What angle did it turn through in degrees?
Answer: ______________
A plane flies bearing 040, then bearing 130. What angle did it turn through in degrees?
Answer: ______________
A yacht sails 60 km, turns 90 degrees, sails 80 km. What is the return distance?
- 100 km
- 140 km
- 20 km
- 70 km
Maya says use the cosine rule when you know two sides and the angle between them. Is Maya right?
Circle one: True False
A return journey runs 40 degrees clockwise from north. What is its three-figure bearing?
- 40
- 400
- 040
A runner goes 30 km east then 40 km south. How far from the start in km?
Answer: ______________

Answer key

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

10 · Right triangle: root of 36 plus 64 = 10.
90 degrees · 150 minus 60 = 90. The 30 option has no bearing link.
Clockwise from north · Bearings start at north and sweep clockwise in three figures.
True · Bearings always use three figures, so the leading zero stays.
90 · 130 minus 40 = 90.
90 · 130 minus 40 is 90.
100 km · Root of 3600 plus 6400 = 100. The 140 option just adds the legs.
True · That SAS layout is exactly the cosine rule case.
040 · Three figures with a leading zero gives 040.
50 · Root of 900 plus 1600 = 50.