Category: Free Year 4 Maths Worksheets

Year 4 subtraction

This page of mental arithmetic subtraction is most suited to year 4. The first 8 questions are straightforward subtractions of a single digit from a multiple of 100. By year 4 children should be quite confident with these, although there are several different approaches which can be taken to reach the answer. For instance: 300 – 8 can be done by counting back 8 from 300, or by subtracting 10 and adding 2.

The last three questions ask for a written explanation of how the answer was worked out.

This can be found in our Year 4 Knowing Number facts category.

Subtract single digit (2)

Year 4 maths: Time (1)

Here we have a selection of questions all involving time, suitable for Year 4 children. The questions cover a range of knowledge including:

1. Counting in minutes crossing the hour boundary

2. Knowing the number of days in the month

Some are quite tricky, especially those where days are counted, crossing over a month. A calendar would be useful for this.

This would be a useful assessment sheet or homework activity. It can be found in our Year 4 maths worksheets, in the section Using and Understanding Maths.

Solve problems with time (1)

Resource of the Week: 3D Shape

On this free maths worksheet is some pretty hard work concerned with prisms.

(A prism is a solid figure whose bases or ends have the same size and shape and are parallel to one another, and each of whose sides is a parallelogram.)

It is a good idea to try and collect a variety of prisms so that their properties can be explored in detail.

Look out for interesting shaped boxes eg a toblerone packet is a triangular prism.

There are some interesting facts about prisms such as the number of faces is always two more than the number of edges on the end. Other facts are included on the answer page.

Visualise 3-D shapes

Year 4 maths worksheet: relate addition and subtraction

One of the most important concepts for children to understand in the early years is the relationship between addition and subtraction. Given one set of facts they should be able to deduce several other facts.

For example:

If 40 + 30 = 70 then:

30 + 40 = 70

and

70 – 40 = 30

and

70 – 30 = 40.

This free worksheet look at this relationship.

Relate addition and subtraction (2)


Year 4 maths worksheets on fractions

Fractions form an important part of the maths for Year 4 children (aged 8/9) and often it turns out to be one of the hardest to get to grips with.

One important aspect of this is to identify equivalent fractions (in other words, that a half is the same as two quarters or four tenths is the same as two fifths etc.) This is usually introduced by using diagrams, but many children fail to see beyond the colouring of a diagram to the more abstract idea of equivalence.

Children will also work with mixed numbers, placing them on number lines and to identify pairs of fractions which total 1.

Another important skill is to recognise the equivalence between the decimals and fractions for simple fractions such as: 0.5 =a half, 0.25 = a quarter, 0.1 = a tenth and 0.01 = a hundredth.

I have published a number of worksheets to help with this and coverage is increasing steadily. Already there are pages on equivalent fractions, tenths, ordering fractions and much more. These can be found in the year 4 Counting and Number section of the site.

Go to our year 4 maths worksheets on fractions

Year 4 maths worksheet: More dividing by 10 and 100

This page looks for a rapid response from children to show that they clearly understand what is happening when numbers become 10 times or 100 times smaller.

The process is simple: to divide by 10 move each digit one place to the right. To divide by 100 move each digit 2 places to the right.

All the numbers are multiples of 10 so there is no need to get involved with decimal points, but some children might ask what happens to the zero. For example 500 divided by 10: move each digit one place to the right gives 50.0; this is correct but it can be written as 50.

Divide by 10 and 100 (2)

Year 4 maths worksheet: Metric units of measurement

By Year 4 children should be quite familiar with the main metric units of measurement and should know the following:

1 kilometre = 1 000 metres

1 metre = 100 centimetres

1 metre = 1 000 millimetres

1 centimetre = 10 millimetres

1 kilogram = 1 000 grams

1 litre = 1 000 millimetres

It is a good idea to tell children that mille is Latin (and French) for 1 000, not one million!

This page is a good check of understanding this and getting children to use these units of measurement.

Standard_metric units

Year 4 maths worksheet: Remainders

By year 4 most children will be confident with the concept of remainders after dividing. The next step is to ‘neaten up’ the division so that there is no remainder. What is left becomes part of the answer as a fraction.

It is easy to write the remainder as a fraction as is shown on this worksheet. The top number is the number or remainder that is left when the whole number has been divided. The bottom number is the number that you have been dividing by.

So 54 divided by 5 is 10 remainder 4 which can be written as 10 and 4 fifths (4/5).

Divide with fraction remainders (3)

Year 4 maths worksheet: More addition and subtraction

Here is a second page of questions on adding and subtracting multiples of 10, which year 4 children should be able to take on and answer rapidly.

It is always fascinating to ask children how they work things out in their heads. Let’s look at 330 + 90.  I would do this by adding 100 to make 430 and then subtracting 10 to make 420. It could also be done by adding 33 and 9 to make 42 and adjusting to take account of the hundreds; and there are other ways. Any way which reaches a correct answer is OK, but we are really looking for methods which are very fast and if children are not using them they should be shown.

Rapid response: Add and subtract (2)

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)