Four rules: Subtract from multiples of 10

Mental arithmetic is the core of successful number work and much can be done without resorting to written methods. Subtracting a 2 digit number from a multiple of 10 can be done ‘in your head’, but it does need care and using an efficient method.

Let’s look at:

50 – 27

Probably the easiest way to do this is by ‘counting on’.

Step 1:  Count on from 27 to the next whole ten (30), which is 3. Hold the three in your head for later.

Step 2: Count on in tens from 30 to 50, which is 20.

Step 3: Add the 20 to the 3 which is 23.

50 – 27 = 23.

(You will often find that children give the answer as 33 rather than 23. That is usually because they have counted on from 20 to 50 which is 30 and then added another 3 to get 33, ignoring the adjustment of the tens.)

Free maths worksheets below:

Subtract from multiples of 10 (p1 and p2)

Maths worksheet: Subtraction of money

Using written methods of subtraction can prove quite tricky with money as it involves decimals. It is important to lay the question out in the standard way, even if it is shown horizontally or just as a written problem and most importantly, to keep the decimal points in a line.

Watch out when there is a zero on the top line as many children go for the easy option and say ‘nought take away 3 is 3’ rather than going through the carrying process.

This is the second in our series on subtracting money.

Standard money subtraction_p2

Multiplication worksheet: Multiply by whole tens (2)

multiply_by_whole_tens_2This is another multiplication worksheet which helps with the early stages of written multiplication.

Multiplying by 40 is the same as multiplying by 10 and multiplying by 4. To multiply by 10 just move each digit one place to the left and place a zero in the units column.

This method reduces this process by placing the zero in the units and then multiplying by 4, ensuring each digit of the answer is placed one space further to the left. There we go!

Multiply by whole tens (2)

Maths worksheet: Add decimals mentally (2)

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This is a follow up page to an earlier worksheet on adding decimals mentally. The approach is probably the same as adding 2-digit numbers, in that most people seem to do these ‘in their head’ by adding the units first and then adding on the decimals.

So, with 4.6 + 3.5 my thinking would probably go along the lines of:

‘4 + 3 is 7, making 7.6 plus point 5 which is 8.1’.

It is not the only approach, but is usually a very effective one.

Add two decimals mentally (2)

Times tables: 3x table pairs

3_times_table_number_linksChildren need an awful lot of practice and ‘overlearning’ if they are ever really going to know their tables. By knowing, I mean instant response, so that they know that 3 x 6 is 18 just as quickly as if they had been asked their name!

It’s always good to find a slightly different approach and this worksheet does just that. The numbers 0 to 10 and the numbers 3 times as great are all on the sheet. All that has to be done is link each pair.

Thanks to urbrainy.com for this page. They have an excellent range of maths games and worksheets for young children and the site is well worth a visit.

3 times table number links

Times tables: 4 times table

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The normal route through learning tables is to start with the twos and tens as these are probably the tables most familiar to children. The next stage is usually to learn the fives, followed by fours. The four times table has a number of characteristics which can be pointed out to help children. Firstly, all the answers are even, so must end in 0, 2, 4, 6 or 8. Secondly it is double the two times tables. Doubling is a very powerful mental arithmetic tool and some cultures incorporate it into all their multiplying. Continue reading “Times tables: 4 times table”

Times tables: More 3x tables

3_times_table_2This is a slightly harder worksheet than the last one published on the three times table. This page does not have a number line to help and the questions are asked in different order eg 6 x 3 or 3 x 6. This could be used as a timed challenge for those who are gaining confidence in learning the table.

Interestingly, when I whizzed through this page mentally I suddenly realised that I did not necessarily work out the answer in the order shown on the page. For example I thought of 2 x 3 as 2 x 3 = 6, but when it cam to 3 x 5 I thought of it as 5 x 3 = 15. I saw the two numbers which needed multiplying and automatically chose the easier way to do them. However, this would not be the case for children who do not know all their tables.

3 times table (2)

Times tables: 3x table starter

3_times_table_1Here we have a worksheet on the 3x table which is ideal for those children just beginning to get to grips with learning tables. It includes a number line to help those who are still ‘counting on’.

The 3 times table is one of the harder tables to learn, as there is little in the way of pattern, but answers do alternate between odd and even. It is usually learned after the twos, tens and fives.

A good way of checking if an answer is correct is to see if the digits add up to 3, 6 or 9. eg 24: 2 + 4 = 6.

This page can be found in our Four Rules section, under multiplication/tables.

3 times table starter

Tables worksheet: 2, 5 and 10 times tables

2_5_10_tables_2Practice makes perfect, and this multiplication page gives loads of practice for the 2x, 5x and 10x tables. This is the first stage in introducing the idea of filling in a multiplication grid, multiplying the numbers across and down to fill in the grid.

The first time children come across this they will probably need some assistance, but once a couple have been completed they should be OK.

It is interesting to watch the techniques used to complete these grids. Some children proceed in strict order, others go for the easy ones first. It can be made more of a challenge to set a time limit for the whole page.

2x, 5x, 10x tables grids

Maths Worksheet: Divide by 100 mentally

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Here we have the next worksheet in our series of dividing mentally. This page looks at dividing larger numbers by 100. All the numbers are multiples of 100 so there will be no decimals involved with the answers. As has been said before, but the idea has to be repeated many times for children to fully understand; to divide by 10, move each digit one place to the right. To divide by 100 move each digit two places to the right. Continue reading “Maths Worksheet: Divide by 100 mentally”