Free Year 3 Maths Worksheets | Maths Blog

Year 3 Maths Investigation: Across and Down

Investigations are a great way to develop logical thinking and improve systematic lines of enquiry.
This is a fun investigation for children from Year 3 upwards (7+ yrs). The task is:
Put in the numbers 0, 1, 2, 3 and 4 in the squares on the grid so that the total across is the same as the total going down.
Children will probably start this mini investigation with a lot of ‘trial and improvement’ and then come up with some correct solutions.
There are several key aspects to the logical thinking behind this, including:
1. Add up the total of 0, 1, 2, 3 and 4. It comes to 10.
2. This means that if the total across and the total down are equal and the corner number is zero, they must both add up to 5.
3. By working methodically with zero in the corner 8 arrangements can be found.

There is also a print-out of large numbers which can be cut out to help children move the numbers about without having to write down everything they do.

Investigation: across and down

Year 3 maths worksheet: Multiplying by 10

We’re back on to the idea of multiplying a whole number by ten, probably one of the most important concepts in primary maths. Of course, by now we all know that each digit moves one place to the left and a zero is placed in the units, acting as a place holder for the other digits. It is easy to say ‘add a nought’ but this just doesn’t work later when decimals are multiplied by 10 and it doesn’t help to explain dividing by ten, when each digit moves one place to the right. Children can do simple multiplication by ten quickly, but they do need to understand what is happening.

Multiply by ten (p1)

Understand relationships between addition, subtraction, multiplication and division

Not many questions on this page but an impressive number of maths concepts needed to answer the questions correctly. These include:

Understanding that addition can be done in any order so: 50 + 15 = 15 + 50

Understanding that 45 – 31 is different from 31 – 45

Understanding that addition reverses subtraction, ie addition is the inverse of subtraction

Understanding that division reverses multiplication, ie division is the inverse of multiplication

Understanding that 16 ÷ 8 does not equal 8 ÷ 16

Begin to understand the commutative law (although not the term)

Example of the commutative law: 24 x 12 = 12 x 24

If a child has cracked all these ideas they are well on the way to success.

Understand relationships between addition, subtraction, multiplication and division

Year 3 maths worksheet: counting in tens

This free maths worksheet is a development in counting on in tens as it involves crossing the hundreds boundary. Most children find it easy to count on in tens until the number becomes more than 100, then a certain amount of confusion can occur. It is a good idea to have a number line which goes across the hundred – of course most of us have a ready made one in the form of a tape measure. (As long as you use the centimetres!)

Counting in tens (pg 1)

Year 3 maths worksheet: Counting on patterns

Number squares can be a great way to show some of the fantastic and fascinating patterns that numbers can make. We are used to the 10 by 10 number square but, of course, they can be any size and the different sizes can create different patterns when counting on. For example, the first number square on this maths worksheet is a 6 by 6 square. When the multiples of 3 are coloured we get two vertical lines of colour. However, when using a 7 by 7 square, the pattern changes. Why is this?

This type of exercise can be used many times and soon children should be able to predict the kind of pattern that will be made, as well as having some practice with learning their tables!

Counting on in 3s patterns

Free maths worksheet: Division and multiplication corresponding

This maths worksheet looks at the correspondence between multiplication and division. Given one fact, three others can be worked out. For example:

Given that 5 x 4 = 20 then:

a. 4 x 5 = 20

b. 20 ÷ 5 = 4

c. 20 ÷ 4 = 5

A full understanding of this relationship is needed before children can go on to written methods of division. If your child is struggling with division it would be well worth checking that they understand this.

To make sense of this it is a good idea to ‘talk through’ what these number sentences say.

If 5 lots of 4 are 20 then 4 lots of 5 will also be 20.

If 20 sweets are shared equally between 4 people they get 5 each.

If 20 sweets are shared equally between 5 people they get 4 each.

Multiplication and division corresponding

Y3 maths worksheet: time

This maths worksheet on reading time to the nearest quarter of an hour highlights several issues which create problems for children.

Firstly, on the clock face the hours are clearly numbered but the minutes are not and children need to be able to count on in fives before they can read minutes successfully.

Secondly, when telling someone the time we often approximate, either to the nearest quarter of an hour or the nearest five minutes, even when we can see clearly what the time is to the nearest minute.

Thirdly, when saying the time out or writing it we use several different conventions, as shown on the answer sheet.

Lastly, many children seldom come across this type of clock face, especially if they use digital watches, mobile phones etc., therefore take much longer to work it out – don’t be surprised to find ten year olds unable to read an analogue clock correctly.

About what time

Year 3 Maths worksheet: What sign to use?

Free maths worksheet from mathsblog.co.uk

Here is a page with a difference for year 3 children. All the numbers, both questions and answers are supplied, but the signs are missing. Just pop the signs in to make the number sentences correct.

This will show whether a child has a good sense of number for the four rules. It might well not be necessary to work out the answer, just eliminate possibilities.

Use a calculator to check whether the correct signs have been inserted.

Investigate what sign to use

Free Y3 maths worksheet: properties of quadrilaterals

Free maths worksheet from mathsblog.co.uk: properties of quadrilaterals.

The term quadrilateral is often misunderstood and confused with the term rectangle. A quadrilateral is any flat shape which has four straight sides. The angles do not have to be right angles. Rectangles and squares are special cases of quadrilateral.

Look out for quadrilaterals all around you in the real world.

Properties of quadrilaterals

Free Y3 maths worksheet: counting on (teens)

Free maths worksheet from mathsblog.co.uk

Counting on is a very powerful tool when using mental methods of calculating. This worksheet concentrates on counting on a teen number to a number in the hundreds and can be seen as an addition problem (143 + 16).

The usual method of doing this requires the ability to partition (ie know that 16 is 10 + 6) and is in two parts:

1. Count on ten from 143 making 153.

2. Count on 6 from 153 to make 159.

There should not be a need to do this type of question on paper.

Free maths worksheet: counting on (teens)