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Bearings and Scale Drawings Practice Problems with Solutions - IGCSE Year 10

IGCSE Year 10 | Math | Bearings and Scale Drawings
Name: _________________________ Date: _________________________ Score: _______ / 40

Bearings start at North and spin clockwise, so East comes out as 090°, and the key also fixes South as 180° and West as 270°. This Year 10 sheet then turns those rules into distance problems such as the 10 km result recorded in the answer key.

Key Takeaways

Section A: Multiple Choice Questions (1 Mark Each)

Choose the correct option for each question.
1. Bearings are measured from
(a) South in an anticlockwise direction(b) North in a clockwise direction(c) East in a clockwise direction(d) North in an anticlockwise direction
2. The bearing of East is
(a) 000°(b) 090°(c) 180°(d) 270°
3. The bearing of South is
(a) 000°(b) 090°(c) 180°(d) 270°
4. The bearing of North is
(a) 000°(b) 090°(c) 180°(d) 270°
5. The bearing of West is
(a) 000°(b) 090°(c) 180°(d) 270°
6. On a map with a scale of 1 cm : 2 km, a distance of 5 cm on the map represents
(a) 2 km(b) 5 km(c) 10 km(d) 7 km

Section B: Short Answer Type Questions (2 Marks Each)

Show all steps clearly.
7. From which direction are bearings measured?
8. In which direction are bearings measured?
9. Write the bearing of North.
10. Write the bearing of East.
11. Write the bearing of South.
12. Write the bearing of West.
13. A map has a scale of 1 : 100 000. What distance on the ground does 1 cm on the map represent?
14. Write the bearing that is directly opposite to 045°.

Section C: Numericals & Word Problems (3 Marks Each)

Apply the concepts to solve the problems. Show all working.
15. A boat travels from a harbour on a bearing of 090°. In which direction is it travelling?
16. On a map with a scale of 1 cm : 5 km, two towns are 7 cm apart. Find the actual distance between them.
17. Point B is due south of point A. What is the bearing of B from A?
18. A plane flies 200 km due north. What bearing did it follow?
19. A ship sails on a bearing of 270°. In which compass direction is it sailing?
20. The bearing of P from Q is 120°. What is the bearing of Q from P?

Answer Key

1. b) North in a clockwise direction
2. b) 090°
3. c) 180°
4. a) 000°
5. d) 270°
6. c) 10 km
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet

People Also Ask

How are bearings measured?

From North in a clockwise direction, option (b) in this worksheet (Q1).

What is the bearing of East?

090°, option (b) in this worksheet (Q2).

What is the bearing of South?

180°, from the answer key on this page.

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