Free Year 3 Maths Worksheets | Maths Blog

Year 3 maths worksheet: division and multiplication

It is important to show children the relationship between multiplication and division as this makes division so much easier.

Here we have a page which shows that if you know one multiplication fact you can quickly work out two division facts.

For example:

if you know that 5 times 7 is 35

then you can instantly work out that

35 divided by 7 is 5 and

35 divided by 5 is 7.

Knowing that you can do this greatly increases speed of calculating and it is speed, as well as accuracy that we are looking for. This page can be found in ourYear 3 Calculations section.

Division as the inverse of multiplication 1

Year 3 maths worksheet: division by hopping along

A neat way to show division is to use a number line and ‘hop’ along in equal steps of whatever the number is you are dividing by. There are no remainders to the answers on this page, but it is also a good way to show why remainders occur.

This is an excellent page for those children in Year 3 who find the idea of division difficult, as it also gives a clue to the relationship between division and multiplication. This page can be found as part of our year 3 calculating worksheets.

Divide by hopping

Year 3 maths worksheet: dividing by 1

Dividing by one might seem a bit obvious to us, but it is not always the case for children who don’t yet have a good understanding of division.

Dividing by 1 can be explained in two ways:

sharing equally – the sweets are shared equally between 1 person, in other words the lucky person gets the whole lot!

grouping – there are 6 sweets to be put into 1 group.

Sometimes even adults become confused with dividing by one, and the more complex idea of dividing by zero (how many zeros are there in 10 whole ones????)!

This is probably most suited to Year 3 children.

Divide by 1

Resource of the Week: Year 3 money

We have been building up a good collection of maths worksheets on calculating for Year 3. This is the first of in a series of maths worksheets on money and shopping problems. The worksheet looks at addition of whole tens at the greengrocers, working with multiples of 10p.

These questions should be solved mentally, although children may want to make jottings to help them. Most only need one operation to work out although the later questions involve both addition and subtraction.

Money: shopping with pence (pg 1)

Year 3 maths worksheet: Double multiples of 5

There are a couple of techniques which help with being able to double multiples of 5 quickly ‘in your head’.

Firstly any 2-digit multiple of 5 which is also a multiple of ten (eg 60) is straightforward as only the tens digit needs to be considered.

It is harder to double numbers such as 65. Probably the best way is to double the 60, making 120 and then adding 10 (which is double 5) to make 170. Some children prefer to double the 5 first, but as this always gives us 10 I prefer to do the tens part first, knowing that I have just got to add 10 to the answer.

This is probably most suited to year 3, although many older children will benefit from the practice.

Double multiples of 5

Year 3 maths worksheet: Double 2-digit numbers

Doubling 2-digit numbers can be quite easy or fairly tricky; it all depends on the numbers. For a number such as 23, doubling is easy as the tens and units can be doubled in your head in either order and can be easily remembered.

However, doubling 37 leads to more complex mathematical thinking as at least three separate operations are needed to reach the correct answer. Probably the easiest way is to double the 30 to make 60. Holding 60 in the back of your mind add the 7 to make 67 and then add the 7 again to make 74. Another way is to double the 30 to make 60 and then double the 7 to make 14 and then add the 60 and the 14 to make 74.

There are other ways, including doubling 40 to make 80 and taking 6 away (double 3) to reach 74. It is always a good idea to see how children tackle these types of questions, ask them what they did and see if it is an efficient way.

Doubles 1

Year 3 maths worksheets: Subtraction

Many children still need plenty of practice with adding and subtracting small numbers mentally. Here is a nifty way to give practice in subtracting a single digit from a teen in a slightly different way from the usual questions.Suitable for bright year 2 or year 3 children.

The second page shows a blank grid which can be printed out and your own choice of numbers put in – useful for children with particular problems with subtraction.

These pages can be found in our Year 3, Know Number facts section

Subtract from a teen

Year 3 maths worksheet: Make 5 sided shapes

By Year 3 children should be familiar with the names of 5 and 6 sided shapes: pentagons and hexagons. Usually these shapes are seen in a regular form and children do not always recognise them when they are irregular. This mini investigation will help with this. A geoboard is a great help. Schools already have these, but at home it is easy enough to make one – just 9 short nails evenly spaced in a block of wood and some elastic bands are all that is needed.

When doing this it can be quite tricky to recognise two shapes which are the same but just rotated.

Make 5 sided shapes

Year 3 worksheet: counting in tens

These are a useful couple of pages for children entering Year 3 next term. Counting on and back will still be important in year 3, using up to three digit numbers. Grouping into tens or fives and using tally charts are both effective ways of counting larger numbers.

Children seldom get a chance to count a larger number of objects – somewhere between 30 and 60. By seeing and counting this many they become more able to estimate larger numbers and be able to give rough approximations rather than wild guesses.

Try similar exercises with heaps of coins, counters etc, dividing them up into fives or tens. A really good idea is to collect change (pennies etc) and guess how much of any one coin there is.

Counting by grouping into tens

Year 3 maths worksheet: Make 12 investigation

Here we have a rather nice number investigation for Year 3. Using exactly 5 of the cards, how many ways can 12 be made?

It is probably a good idea to cut out the cards, or make your own, to make it much easier to move the numbers around to make the number sentences.

As with all investigations look out for a logical, well ordered method, although at the beginning most children will work in a random fashion (as will most adults.) Once it is clear that there are a number of 2-digit subtractions that can be done it is important to show them in some logical way so that it can be seen that all possible combinations have been covered.

Rules can be changed or adapted: one of the first questions which might come up is ‘Can I use the cards twice?’ In the case of adding three single digits the plus sign needs to be used twice, but children can make their own rules for this.

Make 12 investigation