Constructions

Edexcel

AQA

Foundation June 2025 Paper 2 Q23

EdexcelCurrent spec1 markConstructions

23 The point \(C\) is shown on a centimetre grid.

Centimetre grid with point C marked and a shaded circle of radius 2 cm centred on C

A point \(P\) is at least 2 cm from the point \(C\).
Nadia is asked to shade the region where point \(P\) could be.

Her answer is shown on the grid.

Explain the mistake Nadia has made. (1)

Foundation June 2025 Paper 3 Q14

EdexcelCurrent spec3 marksConstructions

14 The accurately drawn diagram shows two points, \(C\) and \(D\), on a map.

Map showing point C and point D, each with a North arrow, joined by a straight line from C down to D
(a) Find the bearing of \(D\) from \(C\). (1)

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

(b) Work out the real distance from \(C\) to \(D\). (2)

Higher June 2025 Paper 2 Q4

EdexcelCurrent spec1 markConstructions

4 The point \(C\) is shown on a centimetre grid.

Centimetre grid with point C marked and a shaded circle of radius 2 cm centred on C

A point \(P\) is at least 2 cm from the point \(C\).
Nadia is asked to shade the region where point \(P\) could be.

Her answer is shown on the grid.

Explain the mistake Nadia has made. (1)

Foundation November 2024 Paper 3 Q19

EdexcelCurrent spec2 marksConstructions

19 Use ruler and compasses to construct the bisector of angle \(ABC\).
You must show your construction lines. (2)

Angle ABC formed by line segments BA and BC

Higher November 2024 Paper 3 Q3

EdexcelCurrent spec2 marksConstructions

3 Use ruler and compasses to construct the bisector of angle \(ABC\).
You must show your construction lines. (2)

Angle ABC formed by line segments BA and BC

Foundation June 2025 Paper 3 Q19

AQACurrent spec5 marksConstructions

19 Here is a scale diagram showing towns A, B and C on a centimetre grid.

Scale 1 : 200 000

Centimetre grid with a North arrow. A is near the middle; C is 3 squares below and about 2.5 squares left of A; B is 3 squares below and about 3 squares right of A, on the same horizontal line as C
(a) Work out the actual distance from B to C.

Give your answer in kilometres. [4 marks]

(b) B is South East of A.

Write down the bearing of B from A. [1 mark]

Foundation June 2025 Paper 2 Q3

AQACurrent spec3 marksConstructions

3 A path joins points \(A\), \(B\), and \(C\).

The scale drawing shows the path on a centimetre grid.

Scale: 1 centimetre represents 10 metres

Centimetre grid with a North arrow. The path goes from A 4 squares east to B, then 3 squares north to C
(a) Write down the direction of \(B\) from \(A\). [1 mark]
(b) Work out the actual distance along the path from \(A\) to \(C\). [2 marks]

Foundation November 2024 Paper 1 Q16

AQACurrent spec2 marksConstructions

16 This shape is made from a semicircle and a square.

A square with side 6 cm and a semicircle on its left side

Not drawn accurately

On the centimetre grid below, make an accurate drawing of the shape. [2 marks]

Empty centimetre grid, 14 squares wide and 14 squares tall

Foundation November 2023 Paper 1 Q2

2 Here is a triangle.

Triangle with longest side x along the top right and angle y at the bottom right vertex
(a) Measure the length of side \(x\).

Give your answer in millimetres. [1 mark]

(b) Measure angle \(y\). [1 mark]

Foundation June 2017 Paper 2 Q8

AQACurrent spec6 marksConstructions

8 Here is a map of a town.

Scale: 1 cm represents 200 m

Map on a square grid with a North arrow. Park is 2 squares above Library. Cinema is 2 squares left of Library and Town Hall is 2 squares right of Library. Monument is 2 squares below Library. Station is 3 squares right of Monument and 1 square below it
(a) Which place is exactly North West of the Station?

Circle your answer. [1 mark]

  • Cinema
  • Town Hall
  • Library
  • Park
  • Monument
(b) Circle the three-figure bearing of the Monument from the Park. [1 mark]
  • \(090^\circ\)
  • \(180^\circ\)
  • \(270^\circ\)
  • \(360^\circ\)
(c) What is the distance, in metres, from the Cinema to the Station? [3 marks]
(d) Why might the shortest walking distance from the Cinema to the Station be greater than your answer to part (c)? [1 mark]