Free Year 3 Maths Worksheets

Posted by Peter on 23rd May 2012

Year 3 mental artihmetic: sets 59 and 60

As we move towards the end of the year 3 term the mental arithmetic questions become slightly harder. These two pages of addition and subtraction questions include some quite tricky problems. The first few questions are quite straightforward with adding or subtracting multiples of 100 from 3-digit numbers, although there are many children who are not at all comfortable with larger numbers. This can often be shown by asking them to count on in whole hundreds from a given number such as 34.

The last four questions look at subtraction either side of a multiple of 100. For example, at first glance 603 subtract 598 looks as if it should be done using paper and pencil methods, but it is quite easy to do by counting on.

Count on 2 from 598 to make 600. Then count on another 3 to make 603 which gives an answer of 5. No harm in using fingers to do this sort of question, especially if the question is given orally and the numbers cannot be seen.

Year 3 mental arithmetic_(sets 59 and 60)

Posted by Peter on 21st May 2012

Counting on in steps of 10p, crossing the hundreds.

I recently published a page on counting on in steps of 10p which was quite straightforward, but this one is much trickier. This time the counting on crosses the hundreds boundary and in the case of money this also crosses the decimal point.

The first set of questions just looks at 2-digit numbers which cross the hundreds boundary;

For example: 96p + 10p = 106p.

Questions 7 to 10 are much harder as they show the money as pounds rather than pence.

For example: £6.94 + 10p = £7.04.

There is quite a lot to remember here, including putting the pence as .04.

Some children will find this difficult and may well use their fingers to count on in single digits. Others will not convert to pounds properly; often answers such as this are seen:

£6.94 + 10p = £6.104

which shows a lack of understanding of the decimal system.

Count on in 10p crossing hundreds

Posted by Peter on 14th May 2012

Year 3 Mental Arithmetic: Sets 57 and 58

We will soon be coming to the end of our sets of mental arithmetic questions for year 3, with just three more sets after these. Today the emphasis is on addition skills as well as a little subtraction.

The questions include:

adding a single digit to a 3-digit number in the context of money: e.g. £352 plus £4

adding a 2-digit number to a 3-digit multiple of 100: e.g. £400 + £88

adding a 2-digit multiple of 10 to a 2-digit number: e.g. to add 34

subtracting a single digit from a multiple of 100: e.g. 600 subtract 4

These are all important steps in becoming confident with working with numbers ‘in your head’ and they should be practiced as often as possible.

Year 3 mental arithmetic (sets 57 and 58)

Posted by Peter on 7th May 2012

Year 3 mental arithmetic: sets 55 and 56

Two more sets of ten questions which add to the great collection now available for year 3 children. This week there are some tricky questions which must be listened to carefully if the correct answer is to be worked out.

For example: ’8 added to a number is 37. What is the number?’

The danger here is to add 8 to 37 rather than subtract it!

other questions cover doubling numbers in the teens. This is quite hard for year 3 children but it is hoped that they learn the answers to these off by heart as soon as possible. The rest of the set are mainly concerned with the addition of multiples of 100.

Year 3_mental arithmetic:_(sets 55 and 56)

 

Posted by Peter on 4th May 2012

Counting on in steps of 10p

This page looks at the way money and coins can be used with helping to count on in tens. The questions become progressively more difficult and this would be most suitable for year 3 children as well as year 2 children who are confident with counting in tens.

The first three questions look at adding 10p to a multiple of 10p and should be very straightforward. The second set look at adding 10p to any 2-digit number, which again should not prove too tricky.

The third set are more tricky as they require adding 10p to money represented in pounds,using the decimal point. Watch out for children who add a ‘p’ at the end so that both the pound and pence sign are showing. This, of course, is not necessary and is strictly incorr3ct – just the pound sign is sufficient.

The last set of questions looks at counting on in steps of 10p, but at this stage the counting does not go over the next 100 or next pound. This will be the next step.

Counting on in steps of 10p (1)

Posted by Peter on 30th April 2012

Year 3 mental arithmetic: sets 53 and 54

I continue on with the weekly sets of mental arithmetic for Year 3. This week the questions concentrate on addition and subtraction, including adding three numbers ‘in your head’. Both the first two questions are designed so that pairs that make 10 can be spotted e.g. 11 + 8 + 9, where the easiest way to do this is to firstly add the 11 and 9 to make 20.

Children need to listen carefully to the questions to make sure that they carry out the right calculation. For example;

‘What must I add to 14 to make 25?’

Some children will here add, 14 and 25 and immediately add 14 and 25 to make 39, when they should, of course, subtract.

In a similar ay, the question:

‘How many more than 4 is 23?’

will be interpreted by some as adding 4 to 23 rather than counting on from 4 to 23.

Year 3 mental arithmetic sets 53 and 54

Posted by Peter on 23rd April 2012

Year 3 Mental Arithmetic: sets 51 and 52

This week’s year 3 mental arithmetic questions concentrate on addition, with a couple of ‘less than’ questions. Children should be getting more familiar with the various techniques they can use to answer questions ‘in their heads’.

For example:

a. it helps to look for pairs of numbers that make 10 such as 5 and 5 or 6 and 4. These pairs all need to be learnt off by heart.

b. when adding pairs of multiples of ten, use knowledge of adding single digits. If the answer to 6 + 7 is known off by heart it makes it easy to add 60 and 70.

c. when adding pounds and pence make sure the answer is using the correct units e.g. £2.70 + 20p = £2.90. (Not £2.90p)

d. when adding three or four numbers to remember that addition can be done in any order and it is often best to start with the largest number.

Year 3 mental arithmetic (sets 51 and 52)

 

Posted by Peter on 16th April 2012

Year 3 mental arithmetic: sets 49 and 50

We begin the summer term’s mental arithmetic papers for year 3 with a reasonably easy set of questions. The first two questions look at writing numbers in figures. e.g. ‘write in figures: four hundred and nine. ‘ Most children should be able to do this but watch out for those who are unsure about place value and write 4009.

The next two questions are about finding numbers half way between two other numbers. These are not as easy as they look. There are also questions on ‘more than’ and ‘less than’ as well as a couple of rounding to the nearest whole one hundred.

These mental arithmetic pages can be used in a variety of ways. The questions can be read out without children seeing them or the sheet can be printed out for answers to be written down. If reading them they will need to be repeated at least once and time given for the answers to be worked out. It is much harder to retain information than to have it written.

Year 3 mental arithmetic (sets 49 and 50)

Posted by Peter on 6th April 2012

Maths worksheet: Multiplying by 2, 3, 5 and 10

Here is a straightforward maths worksheet which looks at multiplying by 2, 3, 5 and 10. Probably this page can be best used as an assessment page to see just how well these tables have been learned. They are the first four tables to be learnt and only the three times tables should cause much in the way of difficulty.

Some children do find it incredibly difficult to learn times tables so it is very worthwhile to keep coming back to them, repeating them time and time again until they become ‘second nature’.

When learning times tables it is important to say it in full and not just give the answers. For example a child might be able to recite counting on in twos: 2, 4, 6, 8, 10, 12 etc but if asked what six times two was would have to count up from two, probably using fingers to know when 6 has been reached. This is not an effective approach.

This page can be found in the Year 3 category on Calculating.

Multiplying by 2, 3, 5 and 10 (1)

Posted by Peter on 26th March 2012

Year 3 mental arithmetic questions

This week we round off the term with some nice straightforward questions.

The first four questions in each set are about rounding to the nearest 10 or 100. Watch out for children who round to the nearest ten when they are meant to round to the nearest 100.

The next four questions look at doubling and halving 2-digit numbers and 3-digit multiples of 100. Doubling and halving are powerful mental arithmetic skills to possess and can help answer quite tricky questions easily, so it is well worth getting children to learn, off by heart, the doubles and halves of small numbers.

Finally, a couple of questions on the properties of squares and cubes. All quite straightforward!

Year 3_mental arithmetic_sets 47 and 48