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Edexcel IGCSE Maths

Topic questions Pure mathematics Coordinates

Coordinates

12 questions · 52 marks · about 1 hour

Coordinates questions

Edexcel 4MA1 Coordinates 12 questions

Paper 2F June 2025 Foundation tier, Question 5 4 marks

The diagram shows three points, P, Q and R, marked on a grid.

Figure for question 5
(a)

Write down the coordinates of point P

[1]
(b)

On the grid, mark with a cross (maths symbol) the point with coordinates (3, –1) Label this point T

[1]
(c)

Find the coordinates of the midpoint of QR

[2]
Reveal mark scheme Mark scheme for question 5(c)

Paper 1F June 2024 (R) Foundation tier, Question 9 5 marks

The diagram shows three points, A, B and C, marked on a grid.

Figure for question 9
(a)

Write down the coordinates of A

[1]
(b)

Find the coordinates of the midpoint of AB

[2]
(c)

D is the point on the grid so that ABCD is a rectangle.

Find the coordinates of D

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

Paper 2F June 2023 Foundation tier, Question 5 5 marks

The diagram shows three points, A, B and C, marked on a grid.

Figure for question 5
(a)

Write down the coordinates of point A

[1]
(b)

On the grid, mark with a cross (maths symbol) the point D so that ABCD is a rectangle.

[1]
(c)

Find the coordinates of the midpoint of AC

[2]
Reveal mark scheme Mark scheme for question 5(c)
(d)

On the grid, draw the line with equation y = 4

[1]
Reveal mark scheme Mark scheme for question 5(d)

Paper 2F January 2023 (R) Foundation tier, Question 4 5 marks

The diagram shows three points, A, B and C, and a line EF on a grid.

Figure for question 4
(a)

Write down the coordinates of the point A

The coordinates of the point D are (3, –2)

[1]
(b)

On the grid, mark with a cross (maths symbol) the position of D Label the cross D

[1]
(c)

Find the coordinates of the midpoint of BC

[2]
Reveal mark scheme Mark scheme for question 4(c)
(d)

Write down the equation of the line EF

[1]
Reveal mark scheme Mark scheme for question 4(d)

Paper 2H January 2023 (R) Higher tier, Question 5 3 marks

On the grid, draw the graph of 5x + 2y = 10 for values of x from –2 to 4

Question 5, shown as an image
Question 5, shown as an image
Question 5, shown as an image
[3]
Reveal mark scheme Mark scheme for question 5

Paper 2F January 2022 (R) Foundation tier, Question 2 5 marks

The diagram shows three points, A, B and C, on a grid.

Figure for question 2
(a)

Write down the coordinates of

(a)(i)

point A

[1]
(a)(ii)

point B

D is the point such that ABCD is a rhombus.

[1]
(b)

On the grid, mark with a cross (maths symbol) the point D Label this point D

[1]
(c)

Find the coordinates of the midpoint of AB

[2]
Reveal mark scheme Mark scheme for question 2(c)

Paper 1F November 2021 Foundation tier, Question 6 7 marks

The accurate scale diagram shows the map of an island drawn on a centimetre grid.

Figure for question 6

The position of Aaron’s house is A. The position of Bharat’s house is B.

(a)

Write down the coordinates of A.

[1]
(b)

By measurement, find the bearing of A from B.

[2]
Reveal mark scheme Mark scheme for question 6(b)
(c)

Measure the length of the line AB. Give your answer in centimetres correct to one decimal place.

Aaron cycled along a straight path from his house to Bharat’s house. The scale of the map is 1 cm represents 5 km.

[1]
Reveal mark scheme Mark scheme for question 6(c)
(d)

Work out the distance, in kilometres, that Aaron cycled.

Aaron left his house at 10 45 am and arrived at Bharat’s house at 1 05 pm.

[1]
(e)

How long did Aaron’s cycle ride take him? Give your answer in hours and minutes.

[2]
Reveal mark scheme Mark scheme for question 6(e)

Paper 1F January 2021 (R) Foundation tier, Question 5 3 marks

Also involves Straight line graphs

The diagram shows the point A and the line CD on a grid.

Figure for question 5
(a)

Write down the coordinates of point A.

The point B has coordinates (4, –2)

[1]
(b)

On the grid, mark with a cross (X) the point B. Label the point B.

[1]
(c)

Write down an equation of the line CD.

[1]
Reveal mark scheme Mark scheme for question 5(c)

Paper 2F November 2020 Foundation tier, Question 7 5 marks

Also involves Coordinate geometry

The diagram shows three points, A, B and C, marked on a grid.

Figure for question 7
(a)

Write down the coordinates of point A.

The coordinates of the point D are (–2, –4)

[1]
(b)

On the grid, mark with a cross (maths symbol) the position of D. Label the cross D.

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

Find the coordinates of the midpoint of BC.

[2]
Reveal mark scheme Mark scheme for question 7(c)
(d)

On the grid, draw the line with equation x = 4

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

Paper 2F January 2020 (R) Foundation tier, Question 7 4 marks

P, Q and R are three points marked on a grid.

Figure for question 7
(a)

Write down the coordinates of point Q.

S is the point such that PQRS is a rectangle.

[1]
(b)

Find the coordinates of point S.

[1]
(c)

Find the coordinates of the midpoint of PR.

[2]
Reveal mark scheme Mark scheme for question 7(c)

Paper 2F June 2018 Foundation tier, Question 4 3 marks

Also involves Measuring lengths and angles, bearings

The diagram shows points A, B and C on a square grid.

Figure for question 4
(a)

Write down the coordinates of C.

[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Measure the length of BC. Give your answer in centimetres.

[1]
Reveal mark scheme Mark scheme for question 4(b)
(c)

On the grid, mark with a cross (X) the point D so that ABCD is a parallelogram. Label this point D.

[1]
Reveal mark scheme Mark scheme for question 4(c)

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