I have had a number of requests for more pages that let children practise the written method of addition, but without making the questions too hard. It is the method which is important to become familiar with. All the rest will depend on how well children know number bonds and can apply them.

The method is to add the units first, put the units in the answer, and ‘carry’ the ten into the tens column. Then add the tens and continue in the same way into the hundreds. So, for a question such as 278 + 546 the steps are:

8 + 6 = 14
Put the 4 in the units below the question.
Then place the one ten below the answer in the tens column.

7 (tens) + 4 (tens) + 1 (ten) = 12 (tens)
Place the 2 (tens) in the tens column and the 1(hundred) in the hundreds column below the answer.

2 (hundreds) + 5 (hundreds) + 1 (hundred) = 8 (hundreds)
Place the 9 (hundreds) in the hundreds column.

Note: there may not always be tens or hundreds to carry.

Standard addition of two 3-digit numbers

## Year 3 maths worksheet: revise adding two teen numbers

Here is a revision page on adding two teen numbers mentally and is probably best suited to year 3 children but could also be very useful for older children who are not confident with adding 2-digit numbers.

As I have said before, it is interesting that when we add ‘in our heads’ we often do it in a very different way than if we were using pencil and paper methods. For example 15 + 16 can be done several ways, non of which is significantly better or worse than another.

method 1: add the two tens to make 20. Add 5 to make 25 and then add (or count on) 6 to make 31.

method 2: add 10 to 16 to make 26 and then add 5 to make 31.

method 3: add 10 to 15 to make 25 and then add 6 to make 31.

method 4: recognise that 15 + 16 is nearly double 15 which is 30 and then make an adjustment of 1 to make 31.

Revise addition of two teen numbers

## Mental addition and subtraction for year 4

Here is a real mixture of addition and subtraction questions which can all be answered mentally without resorting to written methods. The questions include adding 2-digit multiples of 10 to 3-digit numbers and subtracting 2-digit multiples of 10 from 3-digit numbers.

Interestingly, some of the addition statements can be answered by subtraction and some of the subtraction statements can be completed by addition. For example: 35 + ?? = 75 can be done by subtracting 35 from 75. An equally good method would be to add on in tens from 35 to 75.

In the same way 36 – ?? = 20 can be completed by adding on from 20 up to 36, or simply by subtracting 20 from 36. This all helps with understanding the relationship between addition and subtraction.

This set of worksheets, which because it involves both addition and subtraction is slightly harder than just dealing with one, can be found in the Year 4 addition category.

## Written Addition worksheets: 2-digits to 3-digits

Addition of a 2-digit number to a 3-digit number is usually done on paper, using the following standard method:

The method is to add the units first, put the units in the answer, and ‘carry’ the ten into the tens column. Then add the tens and continue in the same way into the hundreds if necessary. So, looking at the addition 278 +37

8 + 7 = 15

Put the 5 in the units below the question.

Then place the one ten below the answer in the tens column.

7 (tens) + 3 (tens) + 1 (ten) = 11 (tens)

Place the 1 (ten) in the tens column and the 1(hundred) in the hundreds

2 (hundreds)  + 1 (hundred) = 3 (hundreds)

Place the 3 (hundreds) in the hundreds column.

Note: there may not always be tens or hundreds to carry.

This type of question is good for children who are not confident with the standard written method of addition.

Standard addition of 2-digits to 3-digits

## Year 4 Maths worksheet: Completing number statements

This Year 4 maths worksheet looks quite straightforward, but many children will find it tricky.

Four numbers are shown as well as four addition and subtraction statements with missing numbers. Just put in the missing numbers from the four shown.

With the addition questions the best way to proceed is to look at the units digit of the answer to the number statement. Then look at the four numbers to see which two added together will match the units digit. Check that the answer is correct by adding in a different order or subtracting one number from the answer, to leave the other number.

For the subtraction statements again it is best to look at the units digit, but remembering that an adjustment from the tens might need to be made to reach the correct numbers.

This page can be found in the Year 4 resources, under Using and Applying Maths.

Complete number statements

## Year 3 maths challenge: how many ways to make 18?

Here is a worksheet that makes children think a little bit more. It shows a number sentence with two numbers that total 18. It asks what the two numbers could be.

The first thing to look for with this is children who use a logical or methodical approach. Usually children will write down the first answer that comes into their heads. That is why I have provided two blank number sentences at the top of the page. However, once they have done this they should start to revise their thinking and try to approach the task in an order so that they will know when they have reached all the possible answers.

This activity can be extended  using different numbers eg 19 or 20 and it is a useful exercise in helping children learn these pairs of numbers ‘off by heart’.

it can also be extended by allowing halves, which makes it quite a bit harder.

## Year 2 number challenge

Open ended questions are an excellent way to reinforce mathematical concepts, practice number skills and find out about some of the amazing patterns in maths. This maths worksheet is posted in our Year 2 category, under Using and Applying Maths and has proved to be one of our most popular resources.

The problem is to find as many ways as possible to make a total of 12 using three of the numbers on the cards. (Cards cannot be used twice in the same total so 4, 4 and 4 would not be allowed.)

It would be a good idea to have some cards printed with the digits on so that they can be cut out to help with this. They are available in the reception maths worksheets section.

Plenty of practice here at adding three small numbers. Also encourage working in a logical order and setting out results in a clear, logical way. There is no reason why recordings cannot be made of totals that are not 12.

Again plenty of opportunity for talking about the numbers and what counts as a different way. Is 1 + 2 + 9 the same as 2 + 1 + 9 ?

Make 12

## Year 5 addition: missing digits

On the face of it this might look like an easy page, but in fact many children find this quite tricky. It should not be tried until children have a good grasp of the standard written method of addition.The addition calculation has been laid out in the standard way, together with the answer. However, two of the digits in the sum are missing. Sometimes it is easy to find the missing digit, but not always, especially when tens have been ‘carried’ into hundreds.

If children get this page correct it shows a good understanding of the standard method of addition. If they struggle it would be well worth looking again at this method.

I am often asked to provide more pages of addition ‘sums’ so here is another look at using the standard method of addition for money.

The first eight questions are laid out in the correct way. The next seven need to be written in the same way, with the decimal points lining up in a vertical line.

With these questions there is ‘carrying’ from both the hundredths to the tenths and from the tenths to the whole pounds.

If this page is sent as homework look for clues that the answers have been done on a calculator. All working should be shown, including the smaller ‘1’ below the answer line. Also question 10 should be answered as £10.00 rather than just £10.

There is no harm in using a calculator to check that the answers are correct, but the main purpose of pages like these is to give practice and reinforcement of the written method.

## Maths game: Criss Cross 3 Addition (1)

This is a simple 2 player game suitable for children who are learning single figure addition facts.

Two sets of coloured counters and a calculator are needed.

Player 1 chooses two numbers from the list below.
Add the two numbers on the calculator. If the answer is on the grid place a red counter on that square.
Player 2 chooses two numbers from the list below and adds them on the calculator.   If the answer is on the grid place a blue counter on that square.
Once a number has been covered it cannot be covered again.
The winner is the first person to put three counters in a row, across, down or diagonally.

There is obviously a clear advantage in going first, but it also helps to know addition facts, as this takes the guesswork out of playing the game, which is really an advanced noughts and crosses.