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OCR GCSE Maths

Topic questions Geometry and measures Geometrical problems on coordinate axes

Geometrical problems on coordinate axes

7 questions · 22 marks · about 20 minutes

Geometrical problems on coordinate axes questions

OCR J560 Geometrical problems on coordinate axes 7 questions

Paper 1 June 2025 Foundation tier, Question 2 2 marks

Point A is shown on this grid.

Figure for question 2
(a)

Write down the coordinates of point A.

[1]
Reveal mark scheme Mark scheme for question 2(a)
(b)

Plot point B on the grid at (2, 2-)

[1]
Reveal mark scheme Mark scheme for question 2(b)

Paper 3 November 2024 Foundation tier, Question 1 2 marks

The diagram shows a square drawn on a one-centimetre square grid.

Figure for question 1
(a)

Write down the coordinates of point A.

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

Find the perimeter of the square.

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

Paper 1 November 2022 Foundation tier, Question 4 2 marks

Point A is shown on this grid.

Figure for question 4
(a)

Write down the coordinates of point A.

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

Plot point B on the grid at (3, – 3).

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

Paper 1 November 2021 Foundation tier, Question 8 2 marks

Point G is shown on this grid.

Figure for question 8
(a)

Write down the coordinates of point G.

[1]
Reveal mark scheme Mark scheme for question 8(a)
(b)

Plot point H on the grid at (- 2, 4).

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

Paper 2 November 2020 Foundation tier, Question 20 5 marks

Also involves Coordinates

A pattern is made from four congruent right-angled triangles.

Figure for question 20

The line AC is parallel to the x-axis. The point A has coordinates (4, 9) and the point B has coordinates (17, 12).

Work out the coordinates of point C and point D.

[5]
Reveal mark scheme Mark scheme for question 20

Paper 3 November 2020 Foundation tier, Question 7 3 marks

Also involves Coordinates · Area and perimeter

Point A is plotted at (4, - 2) on this one-centimetre square grid.

Figure for question 7

Point A is a corner of a square with area 36 cm2. The other corners of the square have integer coordinates and lie on the grid.

Find the coordinates for the corner of the square that is diagonally opposite point A. You may use the grid above to help you.

[3]
Reveal mark scheme Mark scheme for question 7

Paper 2 June 2018 Foundation tier, Question 16 6 marks

Also involves Algebraic notation and vocabulary

Four identical trapeziums are placed on a coordinate grid as shown.

Figure for question 16
(a)

Write down algebraic expressions for the coordinates of point P.

[2]
Reveal mark scheme Mark scheme for question 16(a)
(b)

The coordinates of point Q are (16, 13).

Work out the value of a and the value of b.

[4]
Reveal mark scheme Mark scheme for question 16(b)

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