Category: Free Year 6 Maths Worksheets

Year 6 maths worksheet: Imperial and metric units

It is a sad state of affairs that schools are still having to teach children to convert imperial to metric units, even when we have been metric for over 40 years. Many adults still use feet and inches to measure their height, use miles per gallon in their cars and stones and pounds to measure their weight. Yet a great many do not know how many pounds there are in a stone or how many yards there are in a mile, making the whole thing nonsensical and bewildering to children.

Nevertheless, here it is, a page of conversions with some info about the imperial system.
Convert imperial to metric units (1)

Year 6 worksheet: Add decimals mentally

A straightforward mental arithmetic page on adding decimals. The process is very much the same as adding two 2-digit whole numbers. When adding in our heads we usually start with the largest numbers, which, of course, is the opposite of the way we do it on paper. This needs pointing out to children as many, even in Year 6, lack the strategies necessary for mental addition.

When adding 3 decimals there are several different strategies that can be used, including:

looking for pairs that make 1

starting with the largest number

counting on

knowing doubles etc.

Add decimals mentally

Year 6 investigation: World Cup Final

With the World Cup Final rapidly approaching and SATs out of the way, what better way to spend a maths lesson than looking at the possibility of England meeting Brazil in the final?

With a predicted score of 5 all, after extra time, the task is to try and work out how many possible different scores there could have been during the game.

Of course there are lots of possibilities but to start with the score must have been 0 – 0. Then England could have scored to make it 1 – 0 or Brazil could have scored to make it 0 – 1.

As it is such a big task it would be a good idea to break it down into smaller tasks eg firstly work out all the possible scores up to a score of 1 – 1. Then work out all the possible scores up to 2 – 2. and so on. Done in this way there are plenty of opportunities to spot patterns, including square numbers.

Extension could go to even higher scores!

World cup final investigation

Year 6 maths worksheet: Interpret pie charts

Pie charts are a good way to illustrate the proportion of a whole amount or quantity. The arc length of each sector or the sectors area is proportional to the quantity it represents. This might sound a little tricky, but pie charts can be effective in displaying information.

This worksheet looks at a pie chart where the percentages have also been given. This allows for numbers to be worked out if the total number is given. The first pie chart looks at ice cream sales and the second looks at football supporters attending a tournament.

Pie chart (1)

Year 6 probability worksheet

This page looks at writing the probability of events happening as a fraction or a decimal fraction.

For example, the probability of getting a head when tossing a coin is 1/2, but this can also be written as 0.5

There are several things to look for on this page:

1. being able to find the probability as a fraction and then simplifying the fraction. Rolling an even number on a 1-6 die is 3/6 or 1/2.

2. being able to convert the decimal into a decimal fraction. Some of these are very easy but others, such as converting 1/52 are difficult. You may like your students to use a calculator to do this.

3. If a calculator is used, round answers to two decimal places.

Again, it is not easy to place events on the number line at the bottom of the page. The main thing to look for is that the events are in the right order and approximately in the right place.

Giving the probability as a fraction or decimal (pg1)

Free maths worksheet: Solve word problems

Children often find word problems very tricky, partly because they are unsure of what calculations to carry out to reach the solution. This page has a small number of word problems, but it asks for the working out to be shown and what calculation needs doing eg addition.

The first two questions require only a single step to reach the answer, but the second two need two steps, which makes them much harder.

Solve word problems_(1)

Year 6: Know and use square numbers

By Year 6 children are expected to know the square of numbers up to at least 10. This page provides some revision of this together with some extension work on finding square numbers of multiples of 10. Care needs to be taken when finding these. For example, because 50 is 5 x 10, the square of 50 can be broken down into 5 x 5 x 10 x 10 which makes 250 x10 which is 2 500. Keep an eye out for some children who think it is just 250.

This page can be found in our Year 6, Knowing number facts section. It is also a useful page for the year 6 planning: Block B, Unit 3, week 2 for those teacher viewers.

Know and use square numbers (1)

How to find prime factors

Here we have a maths worksheet for year 6 on how to find prime factors. Before attempting this page it is necessary for children to have a good understanding of factors and prime numbers.

Finding prime factors is often done in the form of a diagram, rather like a tree diagram with the numbers at the bottom all being the prime factors. Frequently the same number is found more than once. For example the prime factors of 36 are 3, 3, 2 and 2.

A good way of checking if all the factors have been found is to multiply them and the original number should result. eg 3 x 3 x 2 x 2 = 36

This page is found in our Year 6 calculating section but has also been included in the Block planning resources:

Year 6 Block B Unit 3 Week 1: Securing number facts

How to find prime factors

Year 6 maths worksheet: Decimal fractions

A calculator is needed for this page as changes have to be made to decimals, using just one step. This is a good practice page for understanding multiplying and dividing decimals by 10, 100 or 1000, as well as some nifty mental arithmetic adding and subtracting.  It is the second of our pages for the Year 6 plans for Counting, partitioning and calculating. (Block A Unit 3 Week 2) which most schools wil be following next week.

This page can be found in our Year 6 Plannning resources as well as in the Understanding Number section.

Decimals with a calculator (1)