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AQA GCSE Maths

Topic questions Pure mathematics Coordinates

Coordinates

13 questions · 28 marks · about 30 minutes

Coordinates questions

AQA 8300 Coordinates 13 questions

Paper 3: Calculator June 2025 Foundation tier, Question 2 2 marks

Line AB is on a grid.

Figure for question 2
(a)

Write down the coordinates of B.

Question 2, shown as an image
[1]
Reveal mark scheme Mark scheme for question 2(a)
(b)

Write down the coordinates of the midpoint of the line AB.

Question 2, shown as an image
[1]
Reveal mark scheme Mark scheme for question 2(b)

Paper 1: Non-calculator November 2024 Foundation tier, Question 18 3 marks

J (0, 12) and K (5, 10) are points on the straight line JKLM.

Figure for question 18

JK = KL = LM

Work out the coordinates of M.

Question 18, shown as an image
[3]
Reveal mark scheme Mark scheme for question 18

Paper 2: Calculator November 2024 Foundation tier, Question 4 3 marks

Points A, B and C are plotted on a grid.

Figure for question 4
(a)

Write down the coordinates of C.

Question 4, shown as an image
[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Write down the coordinates of the midpoint of AC.

Question 4, shown as an image
[1]
Reveal mark scheme Mark scheme for question 4(b)
(c)

Plot point D on the grid so that ABCD is a rhombus.

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

Paper 1: Non-calculator June 2024 Foundation tier, Question 5 3 marks

Also involves Parallel and perpendicular lines

(a)

Here are four lines on a square grid.

Figure for question 5

Which two lines are parallel?

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

Here is a different grid.

Figure for question 5

There are four points on this grid that each have both coordinates that are whole numbers and x-coordinate + y-coordinate = 3

Plot the four points on the grid.

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

Paper 3: Calculator June 2024 Foundation tier, Question 11 2 marks

Figure for question 11
(a)

Work out the coordinates of B.

Question 11, shown as an image
[1]
Reveal mark scheme Mark scheme for question 11(a)
(b)

Point C is reflected in the line x = 6 to point D.

Work out the coordinates of D.

Question 11, shown as an image
[1]
Reveal mark scheme Mark scheme for question 11(b)

Paper 1: Non-calculator November 2023 Foundation tier, Question 16 2 marks

Here is a triangle on a grid.

Figure for question 16

The triangle is reflected in a vertical line. Two of the vertices of the reflected triangle are at (7, 3) and (7, 7)

(a)

What are the coordinates of the other vertex of the reflected triangle?

Question 16, shown as an image
[1]
Reveal mark scheme Mark scheme for question 16(a)
(b)

What is the equation of the line of reflection?

[1]
Reveal mark scheme Mark scheme for question 16(b)

Paper 3: Calculator November 2023 Foundation tier, Question 6 2 marks

Here is a right-angled triangle on a centimetre grid.

Figure for question 6
(a)

Write down the coordinates of the midpoint of the longest side.

Question 6, shown as an image
[1]
Reveal mark scheme Mark scheme for question 6(a)
(b)

Work out the area of the triangle.

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

Paper 2: Calculator June 2023 Foundation tier, Question 4 2 marks

Points P and Q are shown on the grid.

Figure for question 4
(a)

Write down the coordinates of P.

Question 4, shown as an image
[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Angle PQR is a right angle. Work out possible coordinates for R.

Question 4, shown as an image
[1]
Reveal mark scheme Mark scheme for question 4(b)

Paper 2: Calculator November 2022 Foundation tier, Question 15 2 marks

The sketch shows the line y = x line A, which is vertical line B, which is horizontal. The point (3, 5) is on both line A and line B.

Figure for question 15

Write down the coordinates of P and Q.

Question 15, shown as an image
[2]
Reveal mark scheme Mark scheme for question 15

Paper 2: Calculator November 2018 Foundation tier, Question 7 4 marks

Also involves Vectors

Line AB is shown on the grid. A is the point (0, 2)

Figure for question 7
(a)

Work out the coordinates of the midpoint of the line AB.

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

C is another point on AB. C is closer to B than to A. The coordinates of C are whole numbers. Work out the coordinates of C.

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

On the grid, draw a line from point (0, 0) that is parallel to AB and two thirds as long as AB.

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

Paper 1: Non-calculator June 2018 Foundation tier, Question 16 1 mark

Circle the point that lies on the line x โ€“ 3 = 0

(3, 0) (0, 3) (โ€“3, 0) (0, โ€“3)

[1]
Reveal mark scheme Mark scheme for question 16

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