Category: Free Year 6 Maths Worksheets

Year 6 maths worksheet: How to order decimals

This week I am slightly reorganising the way that pages are being organised. I have had a lot of requests from teachers asking if resources can be organised in terms of the Block and Unit Planning required by the Primary Framework for Teaching. I have decided to start with Year 6 and with ordering decimals. As this is the first full week of the summer term for most schools, it follows as Block A Unit 3 Week 1 in the planning: Counting, partitioning and calculating.

I have added a heading in the Year 6 worksheets called Block and Unit Planning. This page can be found there, as well as in the Year 6 Understanding Number section. A small beginning, but over the weeks this should develop into a useful resource.

How to order decimals (1)

Year 6 maths worksheet: Rounding to 10 000 (2)

Here we have a re-inforcement page for the recently published page on how to round numbers to the nearest 10 000.

Useful as a homework sheet or consolidation for those who are still unsure about how to do this. Children do not come across larger numbers very often and it can also be used as practice at reading larger numbers out loud.

Practice:_round to the nearest 10 000

Year 6 maths worksheet: Rounding to 10 000

Rounding larger numbers can be tricky to understand as you get different results depending on what you round to.

For example 12 345 rounded to the nearest 10 is 12 350, to the nearest 100 is 12 300, to the nearest 1 000 is 12 000 and to the nearest 10 000 is 10 000. What you round to will depend on the circumstances and how accurate your rounding needs to be.

These pages look at how to round to the nearest 10 000. In this case the two crucial digits to look at are the ten thousand and the thousands digits.

How to round nearest 10 000

Year 6 Maths: Fractions

how many fractions_2This is the second page where we look at questions such as:

‘How many sixths make two and a half?’

Children need to know that there are six sixths in one whole one and also need to understand equivalent fractions and that a half is equivalent to three sixths.

Many children fail to grasp this in primary school, probably because they have never really got to grips with equivalent fractions and it might be necessary to go back and practice this first before attempting these questions.

How many fractions make…(pg 2)

Year 6 Maths: Fractions

how many fractions_1Here we have some quite tricky questions on fractions, suitable for Year 6. The key to these is to think carefully about how many parts or fractions of a number make one whole one and to understand equivalent fractions.

Understanding equivalent fractions is the key to understanding fractions generally and it is a good start to know that ten tenths make one whole one, as do six sixths etc.

How many fractions make…. (pg 1)

Year 6 Maths Worksheet: Percentages and Fractions

percent_and_fractions_1_large

This worksheet looks at the relationship between fractions, decimal fractions and percentages. This often proves very tricky for many children who fail to grasp that because percentage means ‘out of 100’ it can also be represented as a fraction.

Children should begin to understand that 23% also means 23/100 or 0.23.

later, when trying to work out how to find a percentage of a number it can be done quite easily by multiplying by the decimal fraction. In other words, to find 23% of a number multiply it by 0.23.

Percentages and fractions (1)

Year 6 Maths Worksheet: Negative numbers magic square

magic square negative numbers

Magic squares come in all sorts of formats and these are quite challenging as they involve adding negative and positive numbers and are probably most suited to Year 6 children (10/11 yrs old).

On all three squares the numbers to put into the squares are given and on the first puzzle there is a clue that each row, column and diagonal adds up to -3.

To be successful with these it is important to work out what the centre number should be and what the total of each row etc should be.

There are several different ways of solving these magic squares and just one way is shown on the answer page.

Magic square negative numbers

Year 6 maths worksheet: Reading decimal fractions (2)

reading_decimal_fractions_2

This is a follow up page from one published earlier, reinforcing reading decimal fractions.

It is important that children reading decimals correctly. With a decimal such as 0.345 probably the best way to read it is: ‘nought point three, four, five and not nought point three hundred and forty five.

This is also good revision of place value and the use of thousandths. Probably children will come across thousandths only in terms of measurement such as litres and ml, or kilometres and metres.

Reading decimal fractions (2)

Year 6 Maths Worksheet: Reading decimal fractions (1)

reading_decimal_fractions 1

By Year 6 children should have a good understanding of place value, including decimals. Decimal fractions are often best taught in the context of money, but this only covers tenths and hundredths. This maths worksheet looks at thousandths as well. There two main parts: 1. writing the value decimal fractions in words and 2. writing decimals in digits.

Just like whole numbers a digit becomes ten times smaller when it is moved one place to the right after the decimal point, so the digit 6 in 0.467 is 6 hundredths and the 6 in 0.356 is 6 thousandths.

Reading decimal fractions (1)