Category: Free Year 6 Maths Worksheets

How to add two 3-digit numbers

This is a year 6 revision sheet to help children who are still not confident with adding. The method implies a good understanding of place value. At one time it was fashionable for schools to use square paper to carry out written sums but this has tended not to be the case in recent years, making it harder for children to line the numbers up correctly.

When using the standard written method of addition it is important to  lay the sum out correctly, keeping the columns neatly in line. The method is to add the units first, put the units in the answer and ‘carry’ any tens into the tens column, underneath the answer. Then add the tens in the same way, remembering to include any ten which has been carried forward from the units. finally add the hundreds in the same way.

How to add two 3-digit numbers

Year 6 maths worksheet: Area of rectangles challenge

This is a great worksheet for children to develop their ‘trial and improvement’ methods. The area of the rectangle is 24 sq cm. One side has a length of 17 cm. What must the other side measure? The catch is that only multiplication can be used to find the answer and a calculator is an absolute must!

The aim is to refine the answer closer and closer to the correct one, although this might never be reached! (No cheating by dividing 24 by 17, although this won’t give you a perfect answer!!) Some children become fascinated by this type of question and might need a calculator with a greater number of digits to work with.

Have a look at the page to get a more complete explanation and then see just how close you can get.

This can be found in our Year 6 measurement category.

Tricky rectangle areas

Year 6 maths worksheet: Division with decimals (2)

This is the second of our pages on dividing decimals mentally. Concentrating on just one decimal place it is a good test of how well children know their tables and understand place value.

This is published in our Year 6 maths worksheets, under Knowing Number Facts. As well as these resources further number worksheets can also be found in or Four Rules section.

Divide decimals (2)

Year 6 maths worksheet: More revising multiplication

Here we have a follow up Year 6 maths worksheet to one published earlier, which looks at multiplying 2 digit numbers with a decimal point by one digit numbers. Nothing complex about this but it is a good check that children are confident with this before moving on to long multiplication using written methods. It is also a good test to see how well ‘tables’ are known as children who have a fast recall should be able to whizz through these quite quickly.

Some of these could be done mentally, but watch out for children who use a calculator and therefore show no working out. They should be carrying the units across from the tenths and showing this on the paper.

Revise multiplying decimals (2)

Year 6 maths worksheet: Probability as a fraction

Probability does cause some confusion with children, partly because it can be expressed in several ways.

One way of displaying the probability of an event is as a percentage: there is a 50% chance of landing on a head when tossing a coin.

Another way is as a fraction: there is 1/2 chance, or one in two chance of landing on heads.

A third way is as a decimal fraction, where zero means no chance and 1 is certain: there is 0.5 chance of landing on heads. Probability can be displayed along a number line marked from zero to one.

This year 6 maths worksheet is the second published which looks at probability as a fraction and then as a decimal fraction. A calculator would be useful to do the conversion and it is suggested that the answer should be displayed to 2 decimal places. A useful homework sheet.

Giving_the_probability as a fraction_(pg 2)

Year 6 maths worksheet: Division with decimals

Once children have a really good knowledge of ‘tables’ and understand place value they can apply this knowledge in all sorts of ways. One way is to mentally calculate division with decimals.

16 divided by 2 is easy: 8

1.6 divided by 2 can cause all sorts of problems, but, of course is 0.8.

When I try to do a question such as 2.5 divided by 5 I mentally calculate 25 divided by 5 and then divide the answer by 10 ‘in my head’ by moving each number one place to the right. There are other ways but this seems quite efficient.

It is harder when faced with a question such as 1.8 divided by what makes 0.2? Again, if both numbers are multiplied by 10 it becomes 18 divided by what makes 2, which is easy: 9.

This Year 6 maths worksheet on division with decimals is a good test of how well children can manipulate numbers and use their knowledge.

Divide with decimals (1)

Year 6 maths worksheet: Factors

Understanding factors and multiples is something many children fail to grasp. Here we have a page on factors and how to find all the factors of a number. The process is fairly straightforward, but can be quite time consuming. A good knowledge of tables and division is also needed. So if children’s knowledge of tables is weak, if they find division difficult and if they have little staying power then it is unlikely that they will enjoy trying to find factors of numbers!

One point that even brighter children take a while to understand is that you only need to continue to divide up to when the number squared is larger than the original number eg to find the factors of 62 you only need to divide 62 by numbers up to 7 because eight eights are 64. It is a good idea to spend some time explaining and showing the logic of this to children.

This can be found in our Year 6 Understanding Number section.

Factors 1

Year 6 maths worksheet: Calculator patterns and recurring decimals

The calculator can prove to be a great tool for those who are fascinated by numbers and these pages give us just one example of this.

It uses simple division sums to produce interesting recurring decimals. For example:

1/9 is 0.111111

2/9 is 0.22222

3/9 is 0.33333

and so on.

It also asks children to use their knowledge of equivalent fractions to see if they can come up with other division questions which also create these patterns. As 1/9 is equivalent to 2/18 then this fraction will also create the same pattern.

A further extension is to ask why this happens and this can be answered by doing the division by written methods where it will soon be noticed that the same remainder keeps recurring, hence the recurring or never ending answer. The numbers can also be continued: 10/9 = 1.111111 etc. Fascinating!!

(A philosophical extra to ask  is why doesn’t 9/9 give 0.999999?)

These pages can be found in our Using and Understanding Maths section for Year 6.

Recurring decimals (1)

Year 6 maths worksheet: Revise multiplication

Many Year 6 children are not as confident as they should be with multiplication and with decimals. This week we are publishing a straightforward maths worksheet which looks at multiplying 2-digit numbers by 1 digit, with decimals.

This should be tackled in exactly the same way as multiplication without decimals, but don’t forget to put in the decimal point. Occasionally you will find children who see the  decimal point as a block and will answer a question such as 2.6 x 4 as 8.24

Revise multiplying decimals (1)

Year 6 revision: More rounding millions

Here we have another in our series of rounding larger numbers to the nearest million. This page looks in particular at the world’s oceans and the numbers involved have already been rounded to the nearest 1 000 sq km.

Children need to be confident when dealing with larger numbers, but this will only happen if they are secure in their knowledge of place value and how to read and write numbers. It may well be worth going back over this before attempting rounding.

Round to million  (oceans)