Bearings - Worksheets, Questions and Revision

19 original exam-style questions - 12 pages of questions with a full mark scheme - free printable PDF.

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GCSE · Geometry and Measures

4.16 Bearings

EDEXCEL 1MA1 · Calculator allowed · about 70 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Bearings are always measured clockwise from North and are always written using three figures.
(a)Write down the three-figure bearing for East.(1)
(b)Write down the three-figure bearing for South.(1)
(c)Write down the three-figure bearing for South-West.(1)
(d)Write down the three-figure bearing for North-West.(1)
(Total for Question 1 is 4 marks)
2
Decide whether each statement about bearings is True or False.
(a)'A bearing is always measured clockwise from North.' True or False?(1)
(b)'A bearing can be written using fewer than three digits, for example 45 degrees instead of 045 degrees.' True or False?(1)
(c)'A bearing of 270 degrees means facing due West.' True or False?(1)
(Total for Question 2 is 3 marks)
3
A bearing of 315 degrees represents which compass direction?
  • A) North-East
  • B) South-West
  • C) North-West
  • D) South-East
(Total for Question 3 is 1 mark)
4
Two separate diagrams show a point with a North arrow and a ray drawn to another point.
Diagram: In diagram (a), the angle between the North arrow at A and the ray AB, measured clockwise, is marked 38 degrees. In diagram (b), the angle between the North arrow at A and the ray AC, measured clockwise, is marked 7 degrees.
N B A 38° (a) N C A 7° (b)
(a)Write down the bearing of B from A.(1)
(b)Write down the bearing of C from A.(1)
(Total for Question 4 is 2 marks)
5
The bearing of Sheffield from Nottingham is 038.
Diagram: Nottingham and Sheffield are shown as two points. A North arrow is drawn at Nottingham. The clockwise angle from North to the line joining Nottingham to Sheffield is marked 038 degrees.
Diagram NOT accurately drawn
N 038° Nottingham Sheffield
(Total for Question 5 is 2 marks)
6
The bearing of Derby from Nottingham is 210.
Diagram: Nottingham and Derby are shown as two points. A North arrow is drawn at Nottingham. The clockwise angle from North to the line joining Nottingham to Derby is marked 210 degrees.
Diagram NOT accurately drawn
N 210° Nottingham Derby
(Total for Question 6 is 2 marks)
7
Which of these is a correctly written three-figure bearing?
  • A) 45
  • B) 450
  • C) 045
  • D) N45E
(Total for Question 7 is 1 mark)
8
Declan is standing at point M on a straight North-South path. He walks to point P, where the angle between the path (measured southward from M) and the line MP is 35 degrees, with P on the west side of the path.
Diagram: Point M lies on a straight North-South path with a North arrow shown. Point P is to the west of the path. The angle between the southward direction from M and the line MP is marked 35 degrees.
Diagram NOT accurately drawn
N M P 35°
(Total for Question 8 is 2 marks)
9
From a lighthouse L, the bearing of boat A is 048, the bearing of boat B is 132, and the bearing of boat C is 210.
Diagram: Lighthouse L is shown with a North arrow. Three rays are drawn from L to boats A, B and C, with the bearings 048, 132 and 210 marked as clockwise angles from North.
Diagram NOT accurately drawn
N 048° 132° 210° L A B C
(a)Work out the size of angle ALB.(2)
(b)Work out the size of angle BLC.(2)
(Total for Question 9 is 4 marks)
10
The diagrams show bearings found using angle facts at point P.
Diagram: In diagram (a), P has a North arrow and a dashed East-West line. Point Q is to the south-east of P, and the angle between the eastward dashed line and the ray PQ is marked 25 degrees. In diagram (b), P has a North arrow and a dashed North-South line. Point R is to the east of due South, and the angle between the southward dashed line and the ray PR is marked 15 degrees.
Diagram NOT accurately drawn
W E N Q P 25° (a) S N R P 15° (b)
(a)Using the fact that the angle between North and East is 90 degrees, work out the bearing of Q from P.(2)
(b)Using the fact that the bearing of due South is 180 degrees, work out the bearing of R from P.(2)
(Total for Question 10 is 4 marks)
11
The bearing of B from A is 152.
Diagram: Points A and B are joined by a straight line. A North arrow is drawn at A, and a parallel North arrow is drawn at B. The clockwise angle from North at A to the line AB is marked 152 degrees.
Diagram NOT accurately drawn
N N 152° A B
(Total for Question 11 is 3 marks)
12
Aisha is walking between two campsites shown on a map. The distance between the campsites on the map is 4.8 cm. The scale of the map is 1 : 25000.
(Total for Question 12 is 3 marks)
13
Fatima is making a scale drawing of a triangular field using a scale of 1 cm to 20 m. One side of the field is 130 m long.
(Total for Question 13 is 2 marks)
14
Priya rides her bicycle 6 km on a bearing of 040 from her home. A map of her journey is to be drawn using a scale of 1 cm to 2 km.
(Total for Question 14 is 2 marks)
15
Connor lives in village A. J is a road junction. The bearing of village A from J is 038. The bearing of village B from J is 130. A, B and J form a triangle, and angle JAB = 50 degrees.
Diagram: Triangle JAB is shown, with a North arrow at J. The bearing of A from J is marked 038 and the bearing of B from J is marked 130. Angle JAB is marked 50 degrees.
Diagram NOT accurately drawn
N 038° 130° 50° J A B
(Total for Question 15 is 3 marks)
16
Jamal was asked to find the bearing of A from B, given that the bearing of B from A is 095. He wrote: 'Bearing of A from B = 095 - 180 = -85, so the bearing is 085.'
(Total for Question 16 is 2 marks)
17
A ship sails from port P on a bearing of 090 for 15 km to reach point Q. It then sails on a bearing of 000 for 8 km to reach point R. The journey from P to Q to R takes 1 hour 30 minutes in total.
Diagram: Port P, point Q and point R are shown. PQ is 15 km on a bearing of 090 (due East). QR is 8 km on a bearing of 000 (due North). A right angle is marked at Q. A dashed line joins P directly to R. North arrows are shown at P, Q and R.
Diagram NOT accurately drawn
N N N 090° P Q R 15 km 8 km
(a)Calculate the direct distance from P to R.(3)
(b)Calculate the bearing of R from P, giving your answer to the nearest degree.(3)
(c)Work out the ship's average speed for the whole journey from P to R (travelling via Q), giving your answer in km/h correct to 1 decimal place.(3)
(Total for Question 17 is 9 marks)
18
A plane flies from airport A on a bearing of 060 for 100 km to reach point B. It then flies on a bearing of 150 for 100 km to reach point C.
Diagram: Airport A, point B and point C are shown. AB = 100 km on a bearing of 060. BC = 100 km on a bearing of 150. North arrows are shown at A and B.
Diagram NOT accurately drawn
N N 060° 150° A B C 100 km 100 km
(Total for Question 18 is 3 marks)
19
Lighthouses A and B are 24 km apart. The bearing of B from A is 065. A ship S is on a bearing of 140 from A and on a bearing of 230 from B.
Diagram: Lighthouses A and B are shown, 24 km apart, with a North arrow at each. Ship S is shown, with the bearing of S from A marked 140 and the bearing of S from B marked 230. Lines AS, BS and AB form a triangle.
Diagram NOT accurately drawn
N N 140° 230° 24 km A B S
(Total for Question 19 is 4 marks)
Mark scheme · 4.16 Bearings

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19