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Edexcel GCSE Maths

Topic questions Geometry and measures Measuring lengths and angles, bearings

Measuring lengths and angles, bearings

17 questions · 52 marks · about 1 hour

Measuring lengths and angles, bearings questions

Edexcel 1MA1 Measuring lengths and angles, bearings 17 questions

Paper 3 June 2025 Foundation tier, Question 14 3 marks

The accurately drawn diagram shows two points, C and D, on a map.

Figure for question 14
(a)

Find the bearing of D from C.

The scale of the map is 1 cm represents 4 km.

[1]
(b)

Work out the real distance from C to D.

[2]
Reveal mark scheme Mark scheme for question 14(b)

Paper 1 November 2024 Foundation tier, Question 7 3 marks

Here is an accurately drawn triangle.

Figure for question 7
(a)

Measure the length of the side PQ. Give your answer in centimetres.

[1]
(b)

What type of angle is the angle marked x?

[1]
Reveal mark scheme Mark scheme for question 7(b)
(c)

Measure the size of the angle marked x.

[1]

Paper 2 June 2024 Foundation tier, Question 7 3 marks

(a)

Measure the length of this line. Give your answer in centimetres.

[1]
(b)

Measure the size of the angle marked x.

Figure for question 7
[1]
(c)

In the space below, draw a hexagon.

[1]

Paper 2 November 2023 Foundation tier, Question 27, also on the Higher paper 2 marks

Also involves Angle facts

The bearing of port B from port A is 147° Work out the bearing of port A from port B.

[2]
Reveal mark scheme Mark scheme for question 27

Paper 2 November 2023 Higher tier, Question 6, also on the Foundation paper 2 marks

Also involves Angle facts

The bearing of port B from port A is 147° Work out the bearing of port A from port B.

[2]
Reveal mark scheme Mark scheme for question 6

Paper 2 June 2023 Foundation tier, Question 7 3 marks

Here is a triangle. The triangle is accurately drawn.

Figure for question 7
(a)

Measure the length of AC.

[1]
(b)

Measure the size of angle B.

Here is a different triangle.

Figure for question 7

QP = QR

[1]
(c)

Write down the mathematical name of this triangle.

[1]

Paper 3 June 2023 Foundation tier, Question 17 2 marks

The diagram shows the position of town T.

Figure for question 17

Town R is 55 km from town T on a bearing of 065° Mark the position of town R with a cross (maths symbol). Use a scale of 1 cm to 10 km.

[2]
Reveal mark scheme Mark scheme for question 17

Paper 2 November 2022 Foundation tier, Question 6 2 marks

Here is a quadrilateral ABCD.

Figure for question 6
(a)

Measure the length of the side AB. Give your answer in centimetres.

[1]
(b)

Measure the size of the angle marked x.

[1]

Paper 3 June 2022 Foundation tier, Question 13 4 marks

The accurately drawn map shows the positions of three points, A, B and C, in a field.

Figure for question 13
Question 13, shown as an image

Scale: 1 cm represents 150 metres Parveen walks in a straight line from A to B. She then walks in a straight line from B to C. Susan walks in a straight line from A to C. Parveen walks more metres than Susan.

(a)

How many more?

[3]
Reveal mark scheme Mark scheme for question 13(a)
(b)

Find by measurement the bearing of A from C.

[1]

Paper 3 November 2021 Foundation tier, Question 12 4 marks

The diagram shows two places on a map.

Question 12, shown as an image
Question 12, shown as an image

Scale: 1 centimetre represents 20 kilometres

(a)

What is the actual distance, in kilometres, from Shelton to Trilby?

On a scale drawing, the scale is given as 1: 1200

[2]
Reveal mark scheme Mark scheme for question 12(a)
(b)

How many metres does 5 centimetres represent on this drawing?

[2]
Reveal mark scheme Mark scheme for question 12(b)

Paper 1 November 2020 Foundation tier, Question 13 4 marks

The diagram shows two points, A and B, on a map.

Figure for question 13

Scale: 1 to 25 000

(a)

Find the bearing of B from A.

[1]
(b)

Work out the real distance between A and B. Give your answer in kilometres.

[3]
Reveal mark scheme Mark scheme for question 13(b)

Paper 1 November 2019 Foundation tier, Question 27, also on the Higher paper 5 marks

Also involves Trigonometry · Compound measures

The accurate scale drawing shows the positions of port P and a lighthouse L.

Figure for question 27

Aleena sails her boat from port P on a bearing of 070°

Question 27, shown as an image
Question 27, shown as an image
(i)

the distance, in km, of port Q from lighthouse L,

[1]
Reveal mark scheme Mark scheme for question 27(i)
(ii)

the bearing of port Q from lighthouse L.

[4]
Reveal mark scheme Mark scheme for question 27(ii)

Paper 1 November 2019 Higher tier, Question 8, also on the Foundation paper 5 marks

Also involves Limits of accuracy and bounds · Scale factors, scale diagrams and maps

The accurate scale drawing shows the positions of port P and a lighthouse L.

Figure for question 8

Aleena sails her boat from port P on a bearing of 070°

Question 8, shown as an image
Question 8, shown as an image
(i)

the distance, in km, of port Q from lighthouse L,

[1]
Reveal mark scheme Mark scheme for question 8(i)
(ii)

the bearing of port Q from lighthouse L.

[4]
Reveal mark scheme Mark scheme for question 8(ii)

Paper 3 June 2019 Higher tier, Question 23 5 marks

The diagram shows the positions of three towns, Acton (A), Barston (B) and Chorlton (C).

Figure for question 23

Chorlton is 9 km from Barston on a bearing of 150° Find the bearing of Chorlton from Acton. Give your answer correct to 1 decimal place. You must show all your working.

[5]
Reveal mark scheme Mark scheme for question 23

Paper 2 November 2017 Foundation tier, Question 9 3 marks

Here is a map of an island.

Figure for question 9

A straight road joins the two villages, Backley and Cremford.

(a)

Work out the real distance between the two villages.

[2]
Reveal mark scheme Mark scheme for question 9(a)
(b)

Find the bearing of Cremford from Backley.

[1]
Reveal mark scheme Mark scheme for question 9(b)

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