# Bearings and scale drawings

> Grade 9: three-figure bearings, bearings measured clockwise from north, map scales (1 : 50 000), scale factor, back bearings.

Source: https://olyclass.com/library/math-g9-bearings-scale-en/

- Subject: Math
- Level: Grade 9
- Practice: 16
- Play it free on one screen (projector, TV or whiteboard): https://olyclass.com/library?play=math-g9-bearings-scale-en
- Copy and edit it: https://olyclass.com/library?copy=math-g9-bearings-scale-en
- Games it plays well in: [Ladder Climb](https://olyclass.com/classroom-games/ladder-climb/), [Paper Race](https://olyclass.com/classroom-games/paper-race/), [Three in a Row](https://olyclass.com/classroom-games/three-in-a-row/), [Line of Four](https://olyclass.com/classroom-games/line-of-four/)

## Questions

1. What is the three-figure bearing of due east? (009° / 090° / 180° / 270°)
   Answer: 090°
2. How do you write a bearing of 45° using three figures? (045° / 054° / 405° / 450°)
   Answer: 045°
3. A bearing of 7° is written as 007° when using three figures.
   Answer: True
4. What is the bearing of due south-west? (045° / 135° / 225° / 315°)
   Answer: 225°
5. Bearings are measured clockwise from which direction? (East / North / South / West)
   Answer: North
6. A boat sails on a bearing of 270°. Which direction is it heading? (East / North / South / West)
   Answer: West
7. A bearing of 350° points just slightly west of north.
   Answer: True
8. On a map with scale 1 : 50 000, 1 cm represents how much real distance? (5 km / 50 m / 500 m / 5000 m)
   Answer: 500 m
9. On a 1 : 50 000 map, two towns are 6 cm apart. How far apart are they really? (0.3 km / 3 km / 30 km / 6 km)
   Answer: 3 km
10. A map has scale 1 : 25 000. How many cm on the map show 5 km?
   Answer: 20 cm
11. A scale drawing uses 1 : 200. A wall is 10 m long. How long is it on the drawing? (2 cm / 20 cm / 5 cm / 50 cm)
   Answer: 5 cm
12. A shape is enlarged with lengths scale factor 3. What is the scale factor for its area?
   Answer: 9
13. The bearing of B from A is 060°. What is the bearing of A from B? (060° / 120° / 240° / 300°)
   Answer: 240°
14. The bearing of P from Q is 250°. What is the back bearing, from P to Q? (070° / 110° / 160° / 340°)
   Answer: 070°
15. The back bearing of 135° is 225°.
   Answer: False
16. The bearing of B from A is 300°. What is the bearing of A from B?
   Answer: 120°