Free Year 6 Maths Worksheets
Year 6 Maths: Fractions
Several different sets of skills and knowledge needed for these questions. Firstly knowledge of measurements eg that there are 1000 metres in a kilometre, 1000 ml in a litre etc, as well as a couple of Imperial measures thrown in as an extra challenge.
Year 6 Maths: Fractions
Here 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
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.
Year 6 Maths Worksheet: Negative numbers magic square
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.
Year 6 maths worksheet: 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.
Year 6 Maths Worksheet: 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.
Year 6 Maths worksheet: Converting metric units (2)
This is about as hard as it gets for converting larger metric units to smaller ones. The larger units all include decimals and a good knowledge of multiplying by 10, 100 or 1000 is needed.
As a special treat the last question is really tricky; How many centimetres in 1.9 kilometres. I imagine that there are quite a lot of adults who would struggle with that one, but taken in logical steps it proves to be not so difficult. Find the number of metres in 1.9 kilometres, then find the number of centimtres in that amount. easy eh. It is quite interesting to look at other distances in terms of centimetres: journey home from school, length of a football pitch etc which would make for an interesting investigation.
Year 6 Convert larger metric units to smaller (pg 2)
Year 6 maths worksheet: Converting metric units
By year 6 children will be very familiar with the metric system, but here is a worksheet which should test their knowledge and ability to convert from a larger metric unit to a smaller one. It involves converting metres to centimetres, centimetres to millimetres, kilograms to grams and litres to millilitres.What makes it more tricky is that all the larger measurements use decimal fractions as well as whole units. This of course, needs careful multiplication by 10, 100 or 1000 and ‘adding a nought’ just won’t work!
Year 6: Converting larger units to smaller_(pg 1)
Year 6 Maths Worksheet: rounding decimals
The second in our series on rounding decimals for year 6, this worksheet looks at rounding to the nearest whole number and to the nearest tenth.
When rounding to the nearest whole number, the crucial digit to look at is the tenths digit. If it is 5 or more then the units will round up; if it is less than 5 the units will remain the same.
When rounding to the nearest tenth the crucial digit to look at is the hundredth.
Difficulties can occur when a number that needs rounding up also changes the units and possibly the tens digits. For example 9.95 rounded up to the nearest tenth is 10.
Year 6 Maths Worksheet: Rounding decimals
When rounding decimals to the nearest whole one the only digits that are crucial are the tenths – it does not matter what the hundredths or thousandths are.
When rounding a number such as 3.47 to the nearest whole number the key digit to look at is the tenths digit. If it is 5 or more, round up. Less than 5, round down.
So 3.44 rounded to the nearest whole one is 3.
3.47 rounded to the nearest whole one is 4.
Year 6 Rounding decimals (pg 1)
Maths Worksheet: Year 6 Order Decimal Fractions
It is not often that you see maths for primary school children which includes thousandths. But the justification is that in certain areas of measurement children might well come across them. For example there are 1000 metres in a kilometre so a distance might be written as 2.345 k, where the 5 is 5 thousandths of a kilometre. The same can be said of litres and ml. So decimal fractions including thousandths are here to stay!
Once again, when looking at ordering numbers it is the digits to the left which are most important e.g. 0.1 is bigger than 0.09.
Again the hardest question here is probably the last: being able to write a number bigger than 0.09 but smaller than 1. An easy way to do this is to keep the hundredths digit the same and a thousandth is added e.g. 0.091. Of course 0.0900000000000001 would do equally well and some children like to explore these possibilities.
Decimal fractions thousandths y6 pg 1
Maths Worksheet: Order of Calculating (Bodmas) 3
This is the third of our worksheets on the order of calculations for Year 6 children, introducing the idea that an expression or row of questions needs to be carried out in a set order so that everyone reaches the same answer.
This page concentrates on brackets.
The first four questions have a single set of brackets, which should be worked out first.
Questions 5 to 10 have two sets of brackets to work out. It is best to encourage a systematic approach, putting in the steps such as:
(4 + 2) x (3 – 1) = 6 x 2 = 12.
Why not just put in the answer? because if an answer is wrong it is much easier to see where the mistake has been made and later at High School students need to show all their working out.
Finally there are a set of expressions which will only be correct if a pair of brackets are entered in the right places.
Order of calculating (Bodmas) pg 3
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