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WJEC GCSE Maths

Topic questions Pure mathematics Coordinates

Coordinates

9 questions · 31 marks · about 40 minutes

Coordinates questions

WJEC 3300 Coordinates 9 questions

Unit 1: Non-calculator November 2023 Foundation tier, Question 6 3 marks

Also involves Properties of triangles and quadrilaterals

The points A, B and C are plotted on the grid below.

Figure for question 6
(a)

Write down the coordinates of point B.……........ ………………

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

ABCD is a parallelogram. Both the x-coordinate and the y-coordinate of point D are negative numbers.

(b)(i)

Plot the point D on the grid.

Label D clearly.

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

Write down the coordinates of point D.……........ ………………

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

Unit 1: Non-calculator June 2023 Foundation tier, Question 10 5 marks

ABCD is a rectangle.

A is the point (3, 4), B is the point (–5, 4), C is the point (–5, –2) and D is the point (3, –2).

What is the perimeter of ABCD?

You may use the centimetre-squared grid below to help you.

Figure for question 10
[5]
Reveal mark scheme Mark scheme for question 10

Unit 2: Calculator-allowed November 2022 Foundation tier, Question 4 2 marks

The point P is plotted on the grid below.

Figure for question 4

Steve writes the coordinates of P as 1; 5.

Explain what is wrong with the way Steve has written the coordinates.

[2]
Reveal mark scheme Mark scheme for question 4

Unit 2: Calculator-allowed June 2022 Foundation tier, Question 12, also on the Intermediate paper 4 marks

Figure for question 12
(a)

B is the midpoint of the line AC.

Find the coordinates of C.

C (........ ,........ )

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

A and B are two vertices of a right-angled triangle. Point D is to be plotted on the grid above so that the triangle ABD is a right-angled triangle. The x-coordinate of D is negative. Give the coordinates of a possible position of the point D that can be plotted on the grid

above.

D (........ ,........ )

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

Unit 2: Calculator-allowed June 2022 Intermediate tier, Question 2, also on the Foundation paper 4 marks

Figure for question 2
(a)

B is the midpoint of the line AC.

Find the coordinates of C.

C (........ ,........ )

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

A and B are two vertices of a right-angled triangle. Point D is to be plotted on the grid above so that the triangle ABD is a right-angled triangle. The x-coordinate of D is negative. Give the coordinates of a possible position of the point D that can be plotted on the grid

above.

D (........ ,........ )

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

Unit 1: Non-calculator November 2020 Foundation tier, Question 14 4 marks

(a)

Draw the line x = − 4 on the grid below.

Figure for question 14
[1]
Reveal mark scheme Mark scheme for question 14(a)
(b)
Figure for question 14
(b)(i)

Show the position of point C on the grid.

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

Write down the coordinates of point C.

[1]
Reveal mark scheme Mark scheme for question 14(b)(ii)

Unit 1: Non-calculator November 2020 Intermediate tier, Question 2 4 marks

(a)

Draw the line x = − 4 on the grid below.

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

C is a point on the grid below so that: • BACmaths symbol = 90°, • AC = AB.

(b)(i)

Show the position of point C on the grid.

Figure for question 2
[2]
Reveal mark scheme Mark scheme for question 2(b)(i)
(b)(ii)

Write down the coordinates of point C.

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

Unit 1: Non-calculator June 2017 Foundation tier, Question 6 4 marks

(a)

The points A and B are plotted on the grid below.

Write down the coordinates of A and B.

Question 6, shown as an image
[2]
Reveal mark scheme Mark scheme for question 6(a)
(b)

The point C is the midpoint of the line AB.

Find the coordinates of C.

Question 6, shown as an image
Figure for question 6
[2]
Reveal mark scheme Mark scheme for question 6(b)

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