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Important update from TheSchoolRun

For the past 13 years, TheSchoolRun has been run by a small team of mums working from home, dedicated to providing quality educational resources to primary school parents. Unfortunately, rising supplier costs and falling revenue have made it impossible for us to continue operating, and we’ve had to make the difficult decision to close. The good news: We’ve arranged for another educational provider to take over many of our resources. These will be hosted on a new portal, where the content will be updated and expanded to support your child’s learning.

What this means for subscribers:

  • Your subscription is still active, and for now, you can keep using the website as normal — just log in with your usual details to access all our articles and resources*.
  • In a few months, all resources will move to the new portal. You’ll continue to have access there until your subscription ends. We’ll send you full details nearer the time.
  • As a thank you for your support, we’ll also be sending you 16 primary school eBooks (worth £108.84) to download and keep.

A few changes to be aware of:

  • The Learning Journey weekly email has ended, but your child’s plan will still be updated on your dashboard each Monday. Just log in to see the recommended worksheets.
  • The 11+ weekly emails have now ended. We sent you all the remaining emails in the series at the end of March — please check your inbox (and spam folder) if you haven’t seen them. You can also follow the full programme here: 11+ Learning Journey.

If you have any questions, please contact us at [email protected]. Thank you for being part of our journey it’s been a privilege to support your family’s learning.

*If you need to reset your password, it will still work as usual. Please check your spam folder if the reset email doesn’t appear in your inbox.

What is a number square?

Number square
Do you know what a number square is and what to do with one? Here’s our parents' guide to everything you need to know about this primary-school maths aid so you can support your child when they’re working with to add and subtract in Key Stage 1.

What is a number square?

It’s literally a square filled with numbers. Yes, it’s that simple!

What numbers are in it?

The numbers are normally sequential. Younger children will often use a number square with numbers from one to 20. You'll also commonly see number squares from one to 100. The numbers are typed in numerals (1, 2, 3 etc). You might also see number squares called a ‘100 grid’ or a ‘multiplication grid’; the latter specifically helps children with their times tables.

Not all number squares start at the number ‘1’. Some will start with different numbers, for example if your child is learning about hundreds, tens and ones.

Lots of games (like Snakes and Ladders) use number squares, so your child is likely to be familiar with the concept from a very young age.

How does a number square help learning?

It's a really simple maths aid which helps children do addition, multiplication and subtraction.

Children can use the grid to count up or down a certain amount of numbers and also to count ahead to find the next multiplication or sequence of numbers and to identify prime numbers. The squares can be shaded or coloured in which makes it more fun for children. Number squares can also be used to help children recognise patterns, such as sequencing (where the count goes up in a certain amount of numbers each time, for example, in times tables).

How are number squares used in KS1?

A number square helps children in Key Stage 1 to count to 100 so that they were aware of the order of the numbers and what each one looks like. 

Children in Key Stage 1 also need to learn to count in 2s, 5s and 10s and a hundred number square is very useful for teaching them these skills. Often, children are asked to shade multiples of 2, 5 or 10 to help them see the numbers that they are counting. Once children go on to learn other times tables in Key Stage 2 the number square can again be used to shade multiples of 3, 4, 6, etc.

Number squares can be used for adding and subtracting from a number. It can be a good idea to show children how to count on ten (or add ten) from a number on a number square by counting in ones. You can then show them that a quicker way to do this is just to move down one row on the number square. This makes it clear that when ten is added to a number only the tens digit changes.

How are number squares used in KS2?

A blank number square or hundred chart can be an excellent tool to explain decimals to children (this concept is introduced in Year 4). You can explain that the number square represents 'one whole' and that the whole is split into 100 equal small squares. If you colour in one of these small squares you are showing 0.01 which is one hundredth. If you colour in ten of these small squares you are showing 0.10 (we knock the last 0 off, so it becomes 0.1) which is one tenth.

You can then go on to show equivalence between fractions and decimals using the following diagrams:

 

In Year 5 children go on to learn percentages, so a hundred number square may be useful to show equivalence between fractions, decimals and percentages (see above). 

Multiplication squares are 12x12 number squares used as visual aids for times tables learning. Multiplication squares are colour-coded to make the multiplication patterns easy to spot.

So what's a number line?

What it says on the tin: a line of numbers. Children use number lines when learning basic addition. The numbers are written in a line and using a finger, or a counter, children can count in 'hops' to get the correct answer to a simple sum.

Your child will almost certainly bring home examples of both number lines and number squares to use with their maths homework.

Download number squares, hundred charts and number lines

We have a selection of number squares, number lines, number ladders and blank hundred charts for you to download and print for at-home maths practice.