Category: Free Year 5 Maths Worksheets

Year 5 maths: Written multiplication

Here we have a second page of questions  which are an intermediate step in the progress towards developing an efficient, standard written method of multiplication. It presumes a good knowledge of tables before starting.

This method breaks the task down into four parts. For example: when multiplying 538 by 4, the four parts are:

1. multiply 500 by 4

2. Multiply 30 by 4

3. Multiply 8 by 4.

4. Add the four answers to reach the final answer.

Whilst this is a good method I prefer to work in the reverse order of starting with the units, then the tens and finally the hundreds, although if the child understanding what is happening it makes little real difference.

Multiply a 3 digit number by a 1 digit number (2)

Knowing Division Facts: Year 5 maths Worksheet

There is no doubt that most children find division harder than multiplication, yet there is little real reason for this to be so. Most division questions can be turned on their head to be made to look like multiplication. For example:

30 ÷ 5 =??  can be thought as what number times 5 makes 30?

?? ÷ 6 = 7 can be thought of as 6 times 7.

60 ÷ ?? = 10 can be thought of as what number times 10 makes 60?

The key to success with division is to have a really good knowledge of times tables.

This worksheet looks at these types of division question, all with easy numbers and no remainders and is a good assessment sheet to see if division is understood and tables known.

This can be found in our Year 5 Knowing Number Facts category.

Know division facts (1)

Year 5 Line Graphs

With a lovely hot summer ahead of us what better way to spend a maths lesson than looking at line graphs of temperatures?

In year 5 children are expected to construct and interpret line graphs. The important aspect of a line graph is that each point on the line will have a value. The graph on this worksheet shows the minimum and maximum temperatures each month for London. It would be well worth finding other temperature graphs for cities around the world and comparing them.

Another great idea is to find data for countries in the southern hemisphere and compare the shape of the line graph to London.

Why not go to our Handling data and probability page for year 5?

Percentages and Fractions

The relationship between percentages and fractions is one that many children fail to grasp, yet it is essentially quite easy. What is harder, is understanding equivalence and that fractions of the same size can be written in different ways.

100% means 100 out of 100. It can written as a fraction 100/100 and is equivalent to one whole one.

50% means 50 out of 100. it can be written as a fraction 50/100. This can be simplified to 5/10 or 1/2.

20% means 20 out of 100. It can be written as a fraction 20/100. This can be simplified to 2/10 or 1/5.

This exercise looks at multiples of 10% and how they can be shown as fractions. All the fractions can be simplified, at least to tenths. By colouring the shapes it should be clear that, for example colouring 3 out of 10 is the same as colouring 3 tenths which is the same as 30 hundredths, or 30 out of 100 or 30%.

This page can be found in our Year 5 Counting and Number category.

Percentage and fractions

Year 5 subtraction worksheets

Here are two worksheets to help assess whether children have a good grasp of subtraction.

They revise the following concepts:

Subtraction is the same as taking away, finding the difference between, and complementary addition.

Subtraction is non-commutative.

When a larger number is subtracted from a smaller number, the answer is negative.

Subtracting a number from another makes it smaller.

Subtracting zero makes no difference to a number.

Subtraction is the inverse of addition.

By year 5 children should have good mental strategies for solving subtraction problems.

These pages, and other similar can be found in our Year 5 subtraction category.

Revise understanding subtraction (1)

 Revise understanding subtraction (pg 2)

Year 5: converting metric units

Just a quick exercise in converting metric units from small to large and vice versa. This is not easy and as stated before a good understanding of both the metric system and place value is needed to be able to do this.
It is probably easier to convert large units to smaller:
Eg 3.5 litres = 3 500 ml
Converting small to large can bring problems with place value
Eg 740 cm = 7.4 metres or 7.40 metres. Either is correct.
By now children should know all the facts about the metric system and there is not a lot of point in attempting this if they don’t.

This page can be found in our year 5 measuring worksheets

Convert metric units

Year 5 maths worksheet: number challenge

I really like this challenge, partly because there is no, one right way to answer it and partly because it really makes children think.

There are 10 digits, from zero to nine to be placed in the 10 boxes in such a way that the targets can be matched as closely as possible. The catch is that each number can only be used once!

Now the obvious way to start is to make 98 the largest even number, but immediately that means that you can not have 97 as the largest odd number. By the time you reach the last target, number closest to 30, you have only two digits left and only two choices!

But what counts as the best possible answers? This is as big a challenge, if not bigger. I have had a class try to make a set of rules to try to be as fair as possible, but it involved a great deal of addition and subtraction. One group made a set of rules that went like this:

1. Find the difference between 98 and the answer given.

2. Find the difference between 99 and the answer given.

3. Add the two differences.

This will give your total so far – the larger the total, the worse you have done.

I won’t continue with this as it might spoil the fun!

This page can be found in our Year 5, Using and Understanding Maths category.

The very best 2-digit answer

Year 5 maths worksheet: rounding measurements

Here we have a tricky little worksheet on rounding measurements, best suited to Year 5.

This is harder than most other rounding pages as the units change. For example, in the first question the units are shown in grams but the answer is required in kilograms, so the answer equires two steps:

1. round the number to the nearest 1000 (as there are 1000 grams in a kilogram)

2. change the unit from grams to kilograms.

Remember, when rounding to the nearest 1 000 it is the hundreds digit which is crucial: 5 or above round up, below 5 round down to the nearest 1000.

Rounding measurements

Year 5 ordering fractions

Fractions always seem to cause problems for children who are less confident with their maths, often because they do not get enough practice with ordering and comparing fractions. This worksheet compares sixths and thirds by placing them in order on a number line as well as asking whether statements are true or false. A good understanding of equivalent fractions is needed to do this and many children will still need practice at counting forwards and backwards in fractions (eg count on from zero in sixths up to 2 whole ones.)

Order fractions (1)

Resource of the week: partitioning large numbers

Our resource of the Week looks at place value with larger numbers, something that many children find tricky.

By year 5 children are expected to be able to read and write some seriously large numbers. A really good understanding of place value is needed to read large numbers successfully. The key to looking at a number and working out how to say it lies in separating the number up into a series of hundreds, tens and units.

Let’s look at 123 456 789

Take the first set of three digits (on the right:789) as a set of hundreds tens and units: that is seven hundred and eighty nine.

Take the second set of three digits (456): that is four hundred and fifty six; but it is four hundred and fifty six thousand.

Take the third set of three digits (123): that is one hundred and twenty three; but it is one hundred and twenty three million.

Put them together to make one hundred and twenty three million our hundred and fifty six thousand and seven hundred and eighty nine.

An abacus is a really good way to look at how to read numbers and is a very powerful mathematical tool – anyone who has been to Hong Kong or China and seen how they calculate with an abacus will be amazed!

 

Partition up to 5-digit numbers (pg 2)