Category: Free Year 6 Maths Worksheets

This list contains the key vocabulary for Fractions, decimals, percentages and ratio in year 6.
Children will have come across all these words in earlier years, but by the end of year 6 (10/11 yr old) they should have a good understanding of all of them

Fraction   proper fraction     improper fraction

Numerator      denominator

Equivalent        reduced to                 cancel

Half                   quarter                       eighth

Third          sixth                ninth           twelfth

Fifth           tenth                twentieth

Hundredth             thousandth

Proportion            decimal fraction

Decimal point                decimal place

percentage            per cent           %

When spelling the word twelfth often causes problems. They are all shown in a larger font below if you want to cut them out and print them.

If you are unsure of any of the meanings try one of the free online maths dictionaries such as at
www.mathsphere.co.uk or www.amathsdictionaryforkids.com/
(Taken from Mathematical Vocabulary Book  DfEE)

Year 6 vocabulary: fractions, decimals and percentages

Free maths worksheet on probability from mathsblog.co.uk

Probability often causes problems, even with adults. Take a nomal 6 sided die. The probability of rolling an even number is 50%. The probability of throwing an odd number is 50%. So, if rolling a die 50 times it would be sensible that you would estimate that you would roll 25 even numbers and 25 odd numbers.

When actually rolling the die 50 times it is more than likely that you do not throw 25 of each number.

This can make an interesting discussion point: if you rolled a die a million times would you get exactly 500 000 odd and 500 000 even numbers?

However, is it sensible to predict anything other than an equal number of each?

Free Y6 maths worksheet: probability dice

Free Y6 maths worksheet: reflective symmetry from mathsblog.co.uk

By the end of year 6 children should know and be able to read, write and use the following quite tricky words:

Mirror line,  line of symmetry,  line symmetry,  symmetrical,  reflect,  reflection,  translation, axis of symmetry, reflective symmetry.

Also they should be able to test for symmetry using a mirror and by folding.

Children should be able to sketch the reflection of a simple shape in a mirror line where none or only some of the edges of the shape are parallel or perpendicular to the mirror line.

This might seem easy, but actually prove problematic to many children. A small mirror is a great help with this and children are supplied with one in their SAT tests if such a question comes up – and they do seem to be very popular.

Year 6 maths worksheet: reflective symmetry

Free maths worksheet from mathsblog.co.uk

Rounding numbers can often cause problems, even with older children.

When rounding to the nearest 1 000 the key figure is the hundreds digit.
If the hundreds digit is 5 or above, round up. If it is below 5, round down.

Eg 3 750 is 4 000 to the nearest 1 000.
3 199 is 3 000 to the nearest 1 000

(Note that it does not matter what the tens or units digits are, it is the HUNDREDS digit which must be looked at.)

Be careful that when rounding, children do not write:
2 345 = 2 000
because 2 345 does not equal 2 000.

2 345 is 2 000 ‘to the nearest 1 000’ should always be added. Continue reading “Free Y6 maths worksheet: further rounding”

Another set of questions using tables and charts. Children often get confused by questions which say that an event was earlier or later when looking at a calendar. If it was earlier then the number of days have to be subracted. On a calendar moving up one position will subtract 7 days – useful when counting back.
Booster maths worksheet: Time (p 4)

An old favourite with the SATs question writers is reflective symmetry. During the test children are given tracing paper or a small mirror. If using the mirror they need to line it up along the dotted line and draw the reflection. if the shape is drawn on squared paper it can be easier to draw it by hand taking each square in turn.

Booster maths worksheet: Shape (p 1)

Being able to read information from a calendar may seem pretty straightforward to us, but many children do not come across these in their everyday life and hence have problems working out how to extract the information.

The questions here are aimed at boosting a level 3 towards a level 4. For those children aiming at a Level 5 care must be taken to read the tables and charts accurately as they are a good way to pick up easy marks.

Booster maths worksheet: Time (pg 3)

Let’s crack on with some more worksheets for practising for the SATs.

This free maths worksheet also looks at a.m. and p.m. The questions have to be read carefully to make sure that the minutes are either added to the time or subtracted.

Booster maths worksheet: Time (pg 2)

Time is a popular theme with the test writers and they are pretty keen on testing knowledge of a.m. and p.m. and how the 24 hour clock works. These straightforward questions are of the kind found early in the test and are easy marks to pick up to ensure a Level 4.

Booster maths worksheet: Time (pg 1)