Resource of the Week: Addition of 4-digit numbers

standard-addition-of-4digits-1

This week’s resource looks at how to add larger numbers using written methods. Addition of two 4-digit numbers 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 and finally the thousands.

A clearer explanation is available on the first page of the worksheets, together with a page of questions, but briefly:

Looking at 5687 + 2546 the steps are:

Step 1: add the units

7 + 6 = 13

Put the 3 in the units below the question.
Then place the one ten below the answer in the tens column.

Step 2: add the tens
8 (tens) + 4 (tens) + 1 (ten) = 13 (tens)
Place the 3 (tens) in the tens column and the 1(hundred) in the hundreds column below the answer.

Step 3: add the hundreds
6 (hundreds) + 5 (hundreds) + 1 (hundred) = 12 (hundreds)
Place the 2 (hundreds) in the hundreds column and the 1(thousand) in the thousands column below the answer.

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

Step 4: add the thousands
5 (thousands) + 2 (thousands) + 1 (thousand) = 8 (thousands)
Place the 8 (thousands) in the thousands column.
Answer: 8233

Standard addition of 4-digits (pg 1)

Year 4 maths worksheet: Doubling and halving

It’s always a good idea to think about how we work out answers in our heads and doubling multiples of 5 is a good example of this. Thinking and saying what you do is similar to watching  a slow motion movie, in real time everything happens very quickly but by slowing it down each step can be seen in turn.

Let’s look at doubling 65. I know without thinking that double 5 is 10, so I ignore this part and first work out double 60. This is 120. I then add on 10 for the double 5 part, making 130.

A similar process can be used with halving a number such as 130. I take 10 off to make 120 as it is easy to work out half of 120, which is 60. I then add on 5 (which is half of the 10 I took off at the start) making 65.

Try to get children to explain how they do these doubling and halving questions.

This page can be found in the year 4 worksheets section.

Double multiples of 5

Year 6 maths worksheet: Rounding to 10 000

Rounding larger numbers can be tricky to understand as you get different results depending on what you round to.

For example 12 345 rounded to the nearest 10 is 12 350, to the nearest 100 is 12 300, to the nearest 1 000 is 12 000 and to the nearest 10 000 is 10 000. What you round to will depend on the circumstances and how accurate your rounding needs to be.

These pages look at how to round to the nearest 10 000. In this case the two crucial digits to look at are the ten thousand and the thousands digits.

How to round nearest 10 000

Coming soon: Rounding, doubling and multiplication

Rounding larger numbers can be tricky to understand as you get different results depending on what you round to.

Next week’s page look at how to round to the nearest 10 000, probably best suited to Year 6 children with a good understanding of larger numbers. In this case the two crucial digits to look at are the ten thousand and the thousands digits.

It’s always a good idea to think about how we work out answers in our heads and our page on doubling multiples of 5 is a good example of this.
Try to get children to explain how they do these doubling and halving questions.
This page can be found in the year 4 worksheets section.

By year 4 it is expected that children have a pretty good knowledge of their tables, but, of course, they also need to know when multiplication is the correct option. This depends on having a good understanding of the vocabulary involved. Next week we have a worksheet which uses a  variety of different terms to multiply, including ‘lots of’ and ‘times’.

Calculator game: Multiples of 3

multiples of 3_larger_numbersAnother in our series of fun games to play, suitable for year 3 children who have got a good grasp of the three times table. The object of the game is to get a line of four in a row by finding the number which when multiplied by 3 is on the grid. Not as easy as it looks, and a good game of strategy as well. Remember, you do need a calculator for this game.

Calculator game: multiples of 3

Resource of the Week: Pairs that make 20

know-pairs-that-make-20This week it is a page from our year 2 worksheets which looks at pairs of numbers which make 20. Before doing this children should be confident with, and know by heart, all pairs of numbers which make 10. Once they know these, pairs that make 20 becomes easy; just one of each pair is ten more e.g. 6 and 4: 16 and 4. Being able to work quickly with mental arithmetic is one of the keys to success in school as so much of the maths lesson today is carried out orally and children gain or lose confidence very quickly when answering in front of a whole class.

Know  pairs that make 20 (pg 1)

Year 1 Maths worksheet: Handling data and sorting shapes

One of the earliest stages of data handling is to be able to sort and a lot of practical work can be done, such as tidying up a drawer of pens, pencils, paper clips etc.

The next stage is to be able to record the results and here we have a simple page where the two sets of shapes can be sorted and recorded on the columns.

The outlines of the cylinders and cubes are provided and it is just a matter of counting the number of each shape and recording by colouring the correct number on the columns.

This page can be found in our Handling Data section for Year 1.

Sorting shapes 1

Year 6 Maths: Fractions

how many fractions_2This is the second page where we look at questions such as:

‘How many sixths make two and a half?’

Children need to know that there are six sixths in one whole one and also need to understand equivalent fractions and that a half is equivalent to three sixths.

Many children fail to grasp this in primary school, probably because they have never really got to grips with equivalent fractions and it might be necessary to go back and practice this first before attempting these questions.

How many fractions make…(pg 2)

Coming soon: Fractions, handling data and multiples

A real mixed bag of pages coming up next week.

We will post the  second page where we look at questions such as:

‘How many sixths make two and a half?’

Children need to know that there are six sixths in one whole one and also need to understand equivalent fractions and that a half is equivalent to three sixths.

An important early stage in Handling Data is to be able to record the results and we will be publishing a simple page where  two sets of shapes can be sorted and recorded on the columns.

The outlines of the cylinders and cubes are provided and it is just a matter of counting the number of each shape and recording by colouring the correct number on the columns.

Also coming soon is another in our series of fun games to play, suitable for year 3 children who have got a good grasp of the three times table.

Year 5 maths worksheet: Percentages

A straightforward introduction to finding 10% off multiples of 10p up to a pound. This can be done in two stages:

Firstly: find 10% of the total. As these are all multiples of ten this is straightforward – just divide the amount by 10.

eg 10% of 50p is 5p

Secondly: subtract from the original amount.

50p subtract 5p is 45p.

However, if you have some really nifty mathematicians they might spot that if you multiply the 5(tens) by 9 you get 450p and divide by 10 to get 45p (or simply multiply 5 by 9). This is a case of finding 90% rather than finding 10% and subtracting from 100%. Tricky, eh?

10 percent off