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

Year 4 maths worksheet: Dividing by 10 and 100

Children generally find division harder than multiplication. This is often because the process involves multiplying to find the answer, especially with pencil and paper methods. This page, however,  is aimed at rapid answering using mental methods.

Dividing by ten is the inverse of multiplying by ten. To multiply by 10 move each digit one place to the left. To divide by ten move each digit one place to the right.

Because all the numbers are multiples of 10 there is no need to introduce the decimal point at this stage.

To divide by 100 move two places to the right.

The later questions have different parts of the number sentence to complete: multiplying is the easiest way to do these.

Divide by 10 and 100 (1)

Resource of the Week: Year 4 division problems

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This page has a range of different ways of asking division questions which children need to be able to recognise and there are a number  of methods that can be used to work out the answers mentally.

It is important the tables are known so that the facts can be used. For example if it is known that 6 x 6 = 36, then 6 x 60 can be quickly worked out as 360, and in turn 360 divided by 6 is 60.

Another useful tip is when dividing by 5 mentally it is often possible to divide by 10 and then double the answer.

Please note: Factors need to have taught before trying this page.

Division problems to calculate mentally (pg 2)

Resource of the Week: Year 5 division problems

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As we get to the end of term here is a page which can be used to check that children can use a range of methods to solve division problems mentally.

It is important the tables are known so that the facts can be used. For example if it is known that 6 x 6 = 36, then 6 x 60 can be quickly worked out as 360, and in turn 360 divided by 6 is 60.

Another useful tip is when dividing by 5 mentally it is often possible to divide by 10 and then double the answer.

Please note: Factors need to have been taught before trying this page.

Division problems to calculate mentally (pg 2)

Year 4 maths worksheet: Division with remainders

Here is another page where the remainders from division are written as fractions. Children need a good knowledge of tables to work out the division ‘in their heads’ and this is probably best suited to Year 4, aged8/9+ years old.

The remainder goes on the top line (numerator) and the bottom number (denominator) is the number you have divided by.

This is a much neater finish to the question as the whole number is divided completely, with no messy remainders. Some of the fractions could be cancelled down to their simplest form, although this is not essential at this stage.

Division with fraction remainders (pg 2)

Maths worksheet: Divide by 10 with remainders

divide by 10 with remaindersThis maths worksheet contains a straightforward set of questions on dividing 2-digit numbers by ten, with remainders. It is aimed at children in Year 2 who are just getting to grips with division and know their ten times table.

The best way to do these is to go through the ten times table until the nearest whole ten below the number is found, then add on to reach the remainder. When dividing by ten the remainder can never be greater than ten.

Further division worksheets can be found both in the Four Rules section under Division or in the separate year groups under Calculating.

Divide by 10 with remainders

Maths Worksheet: Divide by 100 mentally

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Here we have the next worksheet in our series of dividing mentally. This page looks at dividing larger numbers by 100. All the numbers are multiples of 100 so there will be no decimals involved with the answers. As has been said before, but the idea has to be repeated many times for children to fully understand; to divide by 10, move each digit one place to the right. To divide by 100 move each digit two places to the right. Continue reading “Maths Worksheet: Divide by 100 mentally”

Maths Worksheet: Divide by 10 with decimals (2)

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This is the second in our series of dividing by 10 with decimals. These should all be completed mentally as all it involves is moving each digit one place to the right and ensuring that a decimal point is placed between the units and tenths.

The key to success here is to understand place value and that moving digits one place to the left makes them ten times bigger and one place to the left, ten times smaller. The decimal point remains in the same place, but is not usually shown if the number is whole. This also highlights the relationship between multiplication and division. If children have been told to ‘add a nought’ when multiplying by ten there is a whole lot of unlearning to do when it comes to dividing by ten, so adding a nought is definitely not a good idea!!

Divide by 10 with decimals (pg 2)

Year 4 Maths Worksheet: division problems (pg 2)

division-problems-y4-pg2This is a follow up page to the earlier solving division problems in your head worksheet. This has a range of different ways of asking division questions which children need to be able to recognise and there are a range of methods that can be used to work out the answers mentally.

It is important the tables are known so that the facts can be used. For example if it is known that 6 x 6 = 36, then 6 x 60 can be quickly worked out as 360, and in turn 360 divided by 6 is 60.

Another useful tip is when dividing by 5 mentally it is often possible to divide by 10 and then double the answer.

Please note: Factors need to have taught before trying this page.

Division problems to calculate mentally (pg 2)