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Coordinates

Free Printable Coordinates PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 1)

Download free coordinates worksheets (PDF), GCSE maths past paper questions and worked solutions for Coordinates (1N). This is a Grade 1 algebra topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Maths Takeaway, Dr Austin, Maths4EveryOne, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our coordinates revision notes and worked examples with diagrams, try real GCSE past paper coordinates questions with step-by-step solutions, or download a PDF of all coordinates worksheet links.

Free Coordinates PDF Worksheets & Answers

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GCSE Maths Grade 1 Revision Notes & Method

Guide to Coordinates: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

Coordinates are always written as (x, y) — go along the corridor (x-axis, horizontal) first, then up or down the stairs (y-axis, vertical). In all four quadrants, left of the origin (0, 0) gives a negative x-coordinate and below the origin gives a negative y-coordinate.

To find the midpoint of a line segment joining (x1, y1) and (x2, y2), average the x-coordinates and average the y-coordinates: Midpoint = (x1 + x22, y1 + y22).

Example 1: A(−3, 2), B(3, 2) and C(3, −2) are three corners of rectangle ABCD. Find the coordinates of D.

A(-3,2) B(3,2) C(3,-2) D(-3,-2)
D lines up vertically with A (x = −3) and horizontally with C (y = −2). Answer: (−3, −2)

Example 2: Find the coordinates of the midpoint M of the line joining P(−4, 7) and Q(6, −1).

Solution:

Average the x-coordinates and the y-coordinates:
• xM = −4 + 62 = 22 = 1
• yM = 7 + (−1)2 = 62 = 3
Answer: (1, 3)
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Coordinates Questions & Answers

Past Paper Example 1 OCR Jun 2025 1F Q2 2 marks
Point A is shown on this grid.
–5–4–3–2–112345–4–3–2–11234xy0A
(a) Write down the coordinates of point A. [1 mark]
(b) Plot point B on the grid at (2, -2). [1 mark]
Worked Solution & Mark Scheme (2 marks)
Part (a) Solution:
Point A is 4 units left of the y-axis and 3 units above the x-axis: (−4, 3). B1
Answer (a): (-4, 3)
Part (b) Solution:
Plot point B 2 units right of the y-axis and 2 units below the x-axis. B1
Answer (b): Point B plotted at (2, -2)
Past Paper Example 2 OCR Nov 2022 1F Q4 2 marks
Point A is shown on this grid.
xy–5–5–4–4–3–3–2–2–1–111223344550A
(a) Write down the coordinates of point A. [1 mark]
(b) Plot point B on the grid at (3, -3). [1 mark]
Worked Solution & Mark Scheme (2 marks)
Part (a) Solution:
Point A lies on the x-axis at x = 4, y = 0 ⇒ (4, 0). B1
Answer (a): 4, 0
Part (b) Solution:
Go 3 units right and 3 units down from the origin to plot (3, −3). B1
Answer (b): Point B plotted at (3, −3)
Past Paper Example 3 GCSE Nov 2020 1F Q8 3 marks
xy–5–4–3–2–112345–5–4–3–2–112345OAB
(a) Write down the coordinates of point A. (1) (b) Write down the coordinates of point B. (1) (c) Mark and label point C at (–2, 1). (1)
(a) Write down the coordinates of the point A. [1 mark]
(b) Write down the coordinates of the point B. [1 mark]
(c) On the grid, mark with a cross (×) the point (-2, 1)
Label this point C.
[1 mark]
Worked Solution & Mark Scheme (3 marks)
Part (a) Solution:
A is at (2, 3) B1
Answer (a): (2, 3)
Part (b) Solution:
B is on the y-axis at (0, –1) B1
Answer (b): (0, –1)
Part (c) Solution:
C plotted at (–2, 1) B1
Answer (c): Point C marked at (–2, 1)

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