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How to read co-ordinates

Part of Mathematics and NumeracyPractise and revise KS2 maths

Introduction to reading and plotting co-ordinates

Image of a map, used by pupils studying coordinates for the SEAG transfer test

This page has been put together to help you practise and revisit some of the brilliant skills you’ve learned all through primary school.

It’s a great way to boost your confidence in Maths and get you ready for the exciting next step into Year 8!

Let's find the treasure! Co-ordinates are like a map reference, they tell you an exact position on a grid.

In this guide, you will learn:

  • how to read co-ordinates (x, y)
  • the golden rule: "Along the corridor (x-axis), then up/down the stairs (y-axis)"
  • how to plot points in all four quadrants using negative numbers
  • how to read decimal co-ordinates eg (2.5, 4.5)
Image of a map, used by pupils studying coordinates for the SEAG transfer test
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Reading co-ordinates (the x, y rule)

Two girls studying coordinates for the SEAG transfer test

A co-ordinate is always a pair of numbers in brackets, like (4, 7).

The first number (x) tells you how far to go horizontally (left or right) along the x-axis.

The second number (y) tells you how far to go vertically (up or down) along the y-axis.

Remember the rule: Go along the corridor first, then up (or down) the stairs.

(4, 7) means go 4 along to the right, then 7 up.

A very common mistake is to mix them up and plot (7, 4) by mistake. Always do the x-axis first!

Two girls studying coordinates for the SEAG transfer test
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The four quadrants

A co-ordinate grid is often split into four sections (quadrants) by the x-axis and y-axis. The centre point (0,0) is called the origin.

Top-right quadrant: all co-ordinates are positive eg (3, 5)

Top-left quadrant: the x-number is negative eg (-3, 5)

Bottom-left quadrant: both numbers are negative eg (-3, -5)

Bottom-right quadrant: the y-number is negative eg (3, -5)

A quadrant grid shown in purple on squared paper. Both the x and y axis are labelled from 6 to minus 6. Useful for students studying for the SEAG transfer test.
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Decimal co-ordinates

Sometimes, a point isn't on a main line.

You might have to read decimal co-ordinates, like (2.5, 4.5).

This just means it's halfway between 2 and 3 on the x-axis, and halfway between 4 and 5 on the y-axis.

A graph showing a point at 2.5, 4.5, used by pupils studying for the SEAG transfer test
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Plot the points

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Summary

A girl studying coordinates for the SEAG transfer test

You're now a co-ordinate expert!

You know how to plot points (x, y) in all four quadrants.

Most importantly, you know the golden rule: go along the x-axis first, then up or down the y-axis.

A girl studying coordinates for the SEAG transfer test
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Brain boost

Think about these questions to stretch your thinking and sharpen your skills!

  1. What is the co-ordinate for the origin (the very centre of the grid)?

  2. If a point has 0 as its first number (e.g., (0, 5)), where is it?

  3. I have plotted 3 corners of a square at (2, 2), (5, 2), and (5, 5). What is the co-ordinate of the fourth corner?

Have a chat about your answers with a parent, teacher or your class.

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