Free Year 4 Maths Worksheets | Maths Blog

Year 4 addition practice

Here we have an excellent page to check how well children can deal with different types of addition questions, some of which are most easily answered by subtracting! By year 4 we are looking for rapid responses using a variety of different skills depending on the type of question. Children need to look at the question and make a very quick decision about how best to tackle it. Sometimes they may want to make jottings to assist with remembering what they have already done.

Let’s look at some of the different types of question and some possible approaches.

a. 400 + 345. An instant recognition that just the hundreds need to be added and the tens and units will remain the same. Should be very quick.

b. 650 + 18. This is probably best done by ‘adding on’ add 10 to 650 makes 660 plus the 8 making 668.

c. 430 + ??? = 580. Either done as a subtraction taking 430 from 580, or by adding on. If doing the subtraction it is quite usual to start with the hundreds 500 take 400 is 100; then the tens 80 take 30 is 50; answer 150. (The reverse of doing this on paper.) If adding on children may well start with adding either the hundreds or the tens as both are equally good.

d. ??? + 50 = 460. Again this can be done by adding on from 50. Add 10 to make 60. Add 400 to make 460. Answer 110. It can also be done just as quickly by subtracting 50 from 460.

Addition practice

Mental Division Strategies: year 4

Having a browse round the site there seemed to be some areas which are a little short of pages; one of these being the year 4 division pages. So, here is a Year 4 division worksheet which looks at some of the strategies children need to be confident with in order to carry out quick, efficient division calculations.

The worksheet is divided into 4 sections, each with a different purpose. The first set of questions looks at basic concepts, such as dividing by 1 and the fact that, unlike addition the calculation has to be carried out in the order stated e.g. 34 divided by 2 is not the same as 2 divided by 34.

The second set of questions takes a quick look at division facts. Many teachers are now of the opinion that division facts should be learned, just like multiplication facts (tables.) This can be argued with in that if a child knows all the times tables they can quickly use them to work out division problems.

The third set looks at dividing money by 10. Of course this is easily done by moving each digit one place to the right. As it is money there should be 2 digits after the decimal point. e.g. £32 divided by 10 should be £3.20. Watch out for those children who get confused because they have been told to ‘add a nought’ when multiplying by 10. Never a good idea!

The last set is all about dividing by 4. Often this can be done by halving and then halving again.

Mental division strategies

Year 4 maths worksheet: more on time

By the end of year 4 it is expected that most children will be confident with reading the time but this is not always the case and this worksheet is a follow up to one published in April. It looks at reading the time using a 12 hour clock.

The first set of questions looks at writing times in digits, using the convention of separating the hours and minutes by a colon.

The second set of questions looks at writing times in words. Of course we can often do this in more than one way, and this can be confusing for children. For example: ‘5:50 can be said as ‘five fifty’ or ‘ten to six’. Interestingly we generally do not use minutes to the next hour for any time before the half hour. It sounds rather strange to say ’40 minutes to six’, although this is technically correct.

A favourite type of question in the SAT Papers is to ask what time it will be a quarter or half an hour before/after a given time. The last set of questions gives a little practice with this.

Year 4 maths worksheet: time

This maths worksheet takes a closer look at the different ways that we say what the time is and is probably most suited to year 4 children.

Reading the time often proves to be a tricky subject for children and there are several reasons for this. One is that many children seldom see a clock face other than a digital display. Another reason is that we have various ways of saying the same time.

For example: 9:50 can be said as ‘nine fifty’ or ‘ten to ten’.

This worksheet asks children to write times using digits, write times in words using minutes past and minutes to the hour as well as working out times a quarter or half hour before and after the time given. These types of question are very popular in the Year 6 SAT papers so there is no harm in using this page with older children who are struggling with understanding and answer time questions.

Two step word problems

Here we have a page of word problems which require more than one step in order to answer them. Children find this kind of two step word problem question much harder than when there is just one step involved in answering a question.

Often these questions can be done in several different ways. For example, the first question;

‘Jacob had 60 toys and his sister, Emma, had 48 toys. They sold 33 of the toys at a car boot sale. How many do they have left?’

The obvious way to do this is to add 60 and 48, making 108 and then subtracting 33 to leave 75.

However, it is just as valid, and maybe easier, to subtract 33 from 48 which is 15 and then add this on to the 60, to make 75. The actual numbers involved here are easier to deal with.

It is well worth keeping an open mind on how these types of questions should be answered and discuss with your children the best ways of approaching them.

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

2 step word problems

Easter maths worksheet: Co-ordinates

This is a step up from the Easter maths worksheet published earlier in the week on Position and Direction, with several differences.

Firstly the axes are numbered rather than the spaces. This is an important step as the conventions of using co-ordinates come into play. it is important to show how co-ordinates are written:

e.g. (3, 1)

Brackets are always placed around the co-ordinates, with the numbers separated by a comma. The position (3, 1) means 3 along and 1 up, which in this case takes you to the pink rabbit (and not the rabbit holding the basket of eggs).

The grid can be used for further work: e.g.

1.ask how you can move along the lines to go from one point to another (2 along and 1 up)

2. Draw more features at the points and ask where they are positioned.

3. Ask child to draw an egg at a certain point etc.

This can be found in the Year 4 Shape category.

Thanks to urbrainy.com for allowing me to use it.

Easter coordinates

Subtraction of 3-digit numbers

Here is a maths worksheet that concentrates on practising subtraction of 3-digit numbers, using the standard, or efficient, written method.

There are several things to look out for when subtracting, including:

a. where each of the three digits on the bottom line are smaller than the 3 digits above them e.g.

987
654

This is the easiest type of question as there is no ‘borrowing’ or ‘adjusting.

b. Where the units are larger on the bottom line e.g.

456
327

Here an adjustment of ten has to be made from the tens column to the units column to carry out the subtraction.

c. Where the tens are larger on the bottom line e.g.

746
395

here an adjustment from the hundreds to the tens has to be made.

d. Where an adjustment from the tens has to be made, but there are no tens and the adjustment has to be made from the hundreds. e.g.

703

445

This is the hardest and one which many children will make a mistake.

For further details of these go to our Four Rules/Subtraction pages.

Subtraction of 3-digit numbers

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

Problem Solving Worksheet for Year 4

There are only 5 questions on this page but some children will find it quite difficult. The main reason for this is that they will have to work back from the answer to find the starting number. This will often mean reversing the operations, subtracting where it says add, halving where it says double etc.

This is a god test of children’s knowledge of the relationships between addition and subtraction, doubling and halving and multiplication and division.

Two of the harder questions come at the end, because they involve carrying out two processes to reach the answer. For example:

‘I am a 2-digit number. My digits total 10 and have a difference of 2. Who am I?’

This involves finding 2 digits which have a total of 10 (2 and 8, 3 and 7 etc) and then checking that the difference between the two digits is 2.

6 and 4 will solve the problem so there are two possible answers: 46 or 64.

Solve problems: Who am I?

Year 4 maths worksheet on ordering decimal fractions

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One of the most important concepts in maths is to understand that the value of a digit depends on its place in the number – otherwise we could only possibly have 9 numbers and zero! So the digit 2 in 120 has a different value than the 2 in 210. The 2 in 120 has a value of 20, whilst the 2 in 210 has a value of 200.

By Year 4 children should be applying this idea to decimals. The first column to the right of the decimal point is tenths so the 1 in 2.1 has a value of one tenth and the 1 in 2.01 has a value of one hundredth. This is best shown with money: one penny is £0.01, or one hundredth, whilst 10p is £0.10 or one tenth of a pound. (It is also important that we always put two digits after the decimal when using money, but not necessarilyat other times.)

This maths worksheets looks at both place value and ordering simple decimal fractions, using the concepts above.

year 4 worksheet: Order decimal fractions