Year 3 Mental Arithmetic: Sets 39 and 40

We are well under way with our sets of Year 3 Mental Arithmetic worksheets, with sets 39 and 40 coming up this week. Remember these pages can be used in a number of different ways. The questions can be read out and answered orally, or the answers can be written down on paper. The question sheets can be printed out and used whilst reading the questions out loud as an extra help.

This week the questions are all on addition and subtraction and children who are good at maths will use a variety of different approaches to answer them.

For example: ‘How many are 12, 12 and 13?

One approach is to add 12 and 12 and then add 13 to the answer.

Another approach is to double 12 and add 13 to the answer.

A third approach is to multiply 12 by 3 and add 1. This is probably the quickest method if children know ‘times tables’ up to 12 x 12.

Whichever approach is used, one of the most valuable aspects of giving mental arithmetic questions is to follow it up by asking what approach was used, and suggesting methods which might be more efficient.

Year 3 mental arithmetic (sets 39 and 40)

Year 3 Mental Arithmetic: Counting on and back

An ability to calculate mentally lies at the heart of being successful with number work. Mental methods need to be emphasised and practised on a regular basis and these year 3 mental arithmetic pages can certainly help towards this.

These two sets of ten questions concentrate on counting on and back in single figures or whole tens. Children will often use their fingers to count on or back but it does help if they can begin to know these facts off by heart. For example counting back 7 from a number with a 2 in the units will result in an answer with 5 in the units. By the end of year 3 children should also be confident with counting on and back in whole tens from any 2-digit number.

Year 3 Mental arithmetic (Sets 37 and 38)

Valentine’s Day maths worksheet: Subtraction

Sometimes it’s nice to have a change and special occasions such as Valentine’s Day allows us to do this. Here we have a maths worksheet suitable for Year 3 children with a Valentine Day’s theme. It is a subtraction page but all the missing numbers have to be put into the special Valentine hearts. There are also a couple of Valentine word problems.

The easiest way to do most of these subtractions is by adding on from the smaller number, once again showing the special relationship between addition and subtraction.

Thanks to urbrainy.com for letting me use this page from their vast supply of worksheets, including more on Valentine’s Day.

Valentine subtraction

Missing digits in subtraction sentences: year 3 maths worksheet

By the end of year 3 children are expected to be able to subtract a single digit from any 2-digit number. Knowing the patterns involved can make this much easier and this worksheet looks at these patterns.

The number sentence has three missing digits and children are asked to write a digit in each box so that the calculation is correct. There is a limited number of possible correct answers and the second part of the page looks at finding all of them. This is a fairly straightforward page as there is no adjusting or decomposition involved. Look for a logical, well ordered way of working for the second part of the question so that all possible answers are found.

Missing digits in subtraction

 

Year 3 mental arithmetic: Sets 35 and 36

Exactly half way through the school year with the publication of sets 35 and 36 mental arithmetic for Year 3. This is quite a mixed bag of questions covering number and measurement.

Two of the questions in each set look at time, which is often a problem for children. These two questions look at time intervals between two events. For example:

‘A TV programme starts at 4.50 and ends at 5.20. How long does it last?’

This presumes that knowledge of 60 minutes in an hour is known and the best way to proceed is to add on to the next whole hour (10 minutes) and then add on the extra minutes (20 minutes) to get 30 minutes.

These questions can be read out loud and children answer on paper, or they can just call out the answers, or show them on digit cards etc. Alternatively they can be given the question sheet to look at and record answers.

Year 3 Mental Arithmetic (sets 35 and 36)

Year 3 mental arithmetic: sets 33 and 34

This week’s mental arithmetic for year 3 looks at place value, number sequences and patterns as well as some quick addition.

One of the early questions asks what’s the largest number that can be made from the digits 2, 5 and 4. This is partly an ordering skill, making sure the largest digit is in the hundreds, second largest in the tens and smallest in the units. Some children find it quite difficult to retain three digits in their head and then manipulate them.

To find the next number in a sequence requires several skills. Firstly to listen carefully to the numbers, then to work out the pattern or rule and as to what is happening from one number to the next and thirdly to work out what the next number will be. These questions are kept at a fairly simple level and are all addition patterns.

There are also a couple of ‘odd number’ questions to check that children know about odd numbers.

Year 3 mental arithmetic: (sets 33 and 34)

Year 3 maths challenge: how many ways to make 18?

Here is a worksheet that makes children think a little bit more. It shows a number sentence with two numbers that total 18. It asks what the two numbers could be.

The first thing to look for with this is children who use a logical or methodical approach. Usually children will write down the first answer that comes into their heads. That is why I have provided two blank number sentences at the top of the page. However, once they have done this they should start to revise their thinking and try to approach the task in an order so that they will know when they have reached all the possible answers.

This activity can be extended  using different numbers eg 19 or 20 and it is a useful exercise in helping children learn these pairs of numbers ‘off by heart’.

it can also be extended by allowing halves, which makes it quite a bit harder.

Addition number sentences: add 18

Year 3 mental arithmetic: sets 31 and 32

This week’s mental arithmetic for year 3 is all on money! One important concept that need checking is converting pence to pounds.

For example 356p written in pounds is £3.56.

Watch out for £3.56p which you often see in shops, markets etc but which is incorrect. it is either £3.56 pounds or 356p.

Other questions include adding up totals of coins and working out word problems to do with money.

Remember if reading these questions out to read them clearly and slowly, repeating at least once. There are two sets of questions, but they can also be used to create further questions of your own along similar subjects and difficulty.

Year 3 mental arithmetic sets 31 and 32

Year 3 mental arithmetic: sets 29 and 30

This week the questions are all in the form of word problems. Generally children find these harder than just ‘sums’ because they are not told what operation needs to be carried out to reach the correct answer. Indeed, sometimes it can be tricky. Looking at the question,

‘I think of a number and subtract 10. The answer is 27. What is my number?’

Immediately the word subtraction will come to mind as it is used in the question. But, in fact, an addition has to be done to find the correct answer.

Several questions also require a good knowledge of the 2x, 5x and 10x tables.

If you are reading these out for children to answer be sure to read each question slowly and at least twice. The first time the question is heard the child will probably be thinking about what needs to be done. The second time reinforces the numbers involved.

Year 3 mental arithmetic (sets 29 and 30)

Year 3 mental arithmetic: addition and subtraction

This week’s sets of mental arithmetic questions concentrate solely on addition and subtraction. There are many different strategies that can be used, depending very much on the numbers involved.

For example:

7 plus 147 can be done quickly by counting on 7, or by  knowing off by heart that 7 and 7 is 14

9 plus 129 can be done by adding 10 and subtracting 1

44 plus 16 can be done by adding the tens first and then the units, or vice versa.

It is important that children have all these techniques at their fingertips, and one way to make sure they have is to point out the many possible ways and which are the most efficient.

Year 3 mental arithmetic (sets 27 and 28)