Free Year 3 Maths Worksheets | Maths Blog

Year 3 maths worksheets: Know Number facts

Year 3 is a time when children make huge strides forward in their mathematical thinking, as long as they have got a secure background knowledge. With over 20 pages to choose from, our worksheets in the Know Number Facts reflect this development. We have worksheets on knowing addition and subtraction facts with numbers up to 20, doubling numbers and subtracting from a teen number.

We also have a number of pages dedicated to calculator games. The aim of these is to use the calculator as a means of showing knowledge of tables and multiples of 3, 4, 5 and 10, not just as a means of working an answer out.

Division, of course, is much easier if tables are known and we have a growing number of pages of division questions.

Go to our Year 3 maths worksheets on knowing number facts

Year 3 Know number facts

It is an exciting time where fast progress is made, but a great deal is expected of children and what they should know in year 3. They are expected to know the 2x, 3x, 4x, 5x, 6x and 10x tables and recognise multiples of 2, 5 and 10 right up to 1 000. They should also be able to multiply numbers by 10 and 100 and say what the effect is. By the end of the year they should be able to add or subtract mentally combinations of one-digit and two-digit numbers, such as 36 + 70.

Our Know number facts worksheets can help to establish this knowledge and also play a part in assessing how well children know these facts.

Go to our Year 3 Know Number facts resources

Year 3 maths worksheet: half way

On the face of it this looks quite a simple task, but many children (and adults) find it very tricky to work out what half way between two numbers is. Often there is a lot of ‘trial and improvement’ going on in people’s heads as they guess their way towards finding half way.

Two methods make the task fairly straightforward.

For method one a number line is very useful to start with. Put a finger of the left hand on the first (lower) number shown on the number line and a finger of the right hand on the second number. Then move the left hand finger one place to the right and the right hand finger one place to the left. Repeat this until the two fingers meet – that is your half way number.

The second way of finding half way involves two steps:

step 1: add the two numbers.

step 2: halve the answer.

This is the better method as it works for all numbers, not just those shown on the number line.

This page can be found in our Year 3, Counting and Number section

Half way between_(1)

Year 3 maths worksheet: Counting on patterns

Number squares can be a great way to show some of the fantastic and fascinating patterns that numbers can make. We are used to the 10 by 10 number square but, of course, they can be any size and the different sizes can create different patterns when counting on. For example, the first number square on this maths worksheet is a 6 by 6 square. When the multiples of 3 are coloured we get two vertical lines of colour. However, when using a 7 by 7 square, the pattern changes. Why is this?

This type of exercise can be used many times and soon children should be able to predict the kind of pattern that will be made, as well as having some practice with learning their tables!

Counting on in 3s patterns

Year 3 maths worksheet: train fares

Here we have a worksheet which looks at the cost of going to the seaside by train for the day! There are several concepts involved in this page.

Adults are used to this kind of chart showing prices, but it will probably be unfamiliar to children who will need some explanation on how to read the prices of the tickets.

Once the fares have been understood the questions give good practice at addition, subtraction and multiplication of money. Several of the questions involve two steps, which, as I have said before, makes it much more difficult for children.

When asked how many tickets can be bought for a certain amount children need to understand that half, or ‘part’ of a ticket can not be bought.

Train tickets (1)

Year 3 maths worksheet: more division practice

Here is a follow up page to that published earlier, giving more practice with simple division. If children have a good knowledge of the 2x, 4x, 5x and 10x tables they should find these quite straightforward. The only potentially tricky ones are where the missing number is in the middle of the number sentence

eg 24 divided by ? = 6

This requires a good understanding of what the number sentence means, but all that is required to answer is a knowledge of ‘what multiplied by 6 makes 24’.

This worksheet can be found in our Year 3 Knowing Number Facts section.

Division practice (2)

Year 3 maths worksheet: reading scales

Reading scales is an important aspect of year 3 measurement work and I am beginning to produce material for this. Children will be used to reading scales where the divisions go up in ones, but they find it much harder when either they go up in larger numbers or when not all the divisions are numbered. This worksheet does both of these. The ruler shown is a scale drawing and each division is 10 cm, but only the 100 cm division lines are named.

Once it has been established that each mark represents 10 cm., it is relatively straightforward to work out the lengths shown. As children usually only use centimetre rulers this might be the first time they come across a ruler where not all the divisions are numbered.

Reading scales 1

Year 3 maths worksheet: division practice

Once children have learnt the 2x, 4x, 5x and 10x tables they can put their knowledge to good use by working out division questions. Because division is the inverse of multiplication the only knowledge needed to work out 14 divided by 2 is that 2 x 7 = 14.

This is a more abstract way of working with division and children should have had a great deal of practical work sharing out coins, cubes, sweets etc before moving onto this type of question.

Division practice (1)

Year 3 maths worksheet: Multiples

It is in year 3 that the term ‘multiple’ is introduced. Whilst there are some very complex explanations of the term ‘multiple’ it is best thought of as a number produced by multiplying a starter number by another whole number. The answers to ‘tables’ are all multiples.

These two Year 3 maths worksheets ask whether various numbers are multiples of others and it is interesting to see how children tackle these. With a good knowledge of tables they are quite easy. Without this knowledge of tables it can take an awfully long time. So, make sure those tables have been learned!

Multiples (1)

Multiples (2)

Year 3 maths worksheet: division and multiplication

This is the second page that looks at the relationship between division and multiplication and how knowledge of one fact can lead to knowing several other facts.

Some children fail to realise that division and multiplication are related, so when it comes to long division later, which involves mostly multiplication, they are lost.

This sheet shows clearly that if you know one multiplication fact then you can instantly work out two division facts. The only issue is that they use the numbers correctly ie if they know that 79 x 5 = 45 they alos know that 45 divided by 5 is 9 and that 45 divided by 9 is 5 (but it is obviously not true to say that 9 divided by 5 is 45!)

Division as the inverse of multiplication (2)