Free Worksheets Maths: four rules

Maths Worksheet: Divide by 10 with decimals (2)

This is the second in our series of dividing by 10 with decimals. These should all be completed mentally as all it involves is moving each digit one place to the right and ensuring that a decimal point is placed between the units and tenths.

The key to success here is to understand place value and that moving digits one place to the left makes them ten times bigger and one place to the left, ten times smaller. The decimal point remains in the same place, but is not usually shown if the number is whole. This also highlights the relationship between multiplication and division. If children have been told to ‘add a nought’ when multiplying by ten there is a whole lot of unlearning to do when it comes to dividing by ten, so adding a nought is definitely not a good idea!!

Divide by 10 with decimals (pg 2)

Maths Worksheet: Dividing by 10 with decimals

Today’s maths worksheet is all about mental arithmetic. It looks at dividing numbers by 10 where the answers involve decimals.

Continue reading “Maths Worksheet: Dividing by 10 with decimals”

Maths Worksheet: Standard written method of addition with 2-digit numbers.

This is the second maths worksheet on addition using the standard method.

(It must be pointed out that usually 2-digit addition should be tackled ‘in your head’. The sum we are doing here can be done by adding 50 to 66, making 116 and then subtracting 2 making 114. However, to practise the written method it is often useful to keep to smaller numbers)

The method is to add the units first, put the units in the answer, and ‘carry’ the ten into the tens column. Finally add the tens and write in the total on the answer line.

Once the method has been clearly understood and a good knowledge to adding single digits has been achieved it should be possible to move onto harder 3-digit or 4-digit addition.

Standard written addition of 2-digit numbers

Times tables and square numbers

Rather a mixed bag of questions here. The first half asks questions derived from the times tables, such as ‘How many fours in 32?’ This is an important question to ask before moving on to the long method of division.

The second set of questions looks at square numbers, which, of course, give a diagonal pattern on a tables square. Children need to be familiar with the square sign to tackle this. It is extremely useful to know, off by heart, all the square numbers, up to at least 10 x 10, as it will be a great help later in High School.

This page can be found in our Four Rules section, under Multiplication (mental methods).

Times table questions (pg 1)

Mental arithmetic: divide by 6

Being successful with mental arithmetic is all about making use of the knowledge you have. For example, once the 6 times table has been learned it needs to be put to good use. This worksheet looks at how the six times table can be used to answer division questions.

Because division is the inverse of multiplication knowing tables means that the inverse can be quickly worked out eg knowing that 6 x 10 = 60 means that 60 divided by 6 is 10 and 60 divided by 10 is 6 can be quickly worked out.

This page could be tackled in a variety of ways. A child might ask themselves what 60 divided by 6 is, or they might ask what number times 6 makes 60? Either way, responses should be quick!

Divide by 6

Multiplication of money (2)

This is the second of our pages on the multiplication of money by a single digit. This is good practice at using tables which have been learned already and can be completed quite quickly by those with a good knowledge. Remember to do a quick estimate of the answer before starting and checking this with the answer to ensure that the written answer is sensible.

Lay out the second set of questions in the correct way as this will make it much easier to work out.

Multiplication of money (pg 2)

Multiplication of money (1)

Here we have a straightforward worksheet dealing with the multiplication of money by a single digit.The main concern here is that the process is carried out much as multiplying a 3 or 4-digit number, but remembering the decimal point.

The second set of questions, from 9. to 15 should be set out in the correct way and not attempted as shown.

It is often a good idea for children to check the answers to these types of page by using a calculator.

Multiplication of money (pg 1)

Standard written addition with money 2

The second of our worksheets on using the standard written method to add money. Remember to keep the decimal points in a straight column when writing these out. it is also important to write down any zeros that occur in the answer – don’t just leave that column blank. Encourage neat setting out of these questions as it eliminates the possibility of adding the wrong numbers in a column.

I always encourage children to write a decimal point in the answer before they start the calculation as, if it is missed out, the answer will be incorrect however well it has been added up.

Standard money addition (p2)

Written subtraction with zeros

One of the hardest ideas to get across to children is when they are carrying out a subtraction which requires adjusting across two columns. This only happens when there is a zero involved.

For example:

703

286 –

3 – 6 does not give a positive answer so an adjustment to the top number needs to be made. A ten can not be borrowed as there are none.

The procedure then is to borrow from the hundreds, move to the tens and then move again to the units. Often children will borrow from the hundreds, ignore the zero in the tens and move straight to the units. They cross out the 7 and make it 6 and make the 3 into 13.

This does not work as it has been 100 borrowed, not 10. Extra steps need to be taken by making the tens column 10 and then taking one ten, making this 9, and adjusting to the units.

Some children will see a quicker way ie of making the 70 one less (69) and adjusting to the units.

More explanation is available on the worksheet.

Standard subtraction with zeros in the tens (pg 1)

Written addition of money (pg 1)

Once children are familiar with the standard method of addition for 3 digits they can be introduced to addition of decimals. One of the best ways to do this is by adding money. On this page the first eight questions have been written out in the correct way, but the next seven will also need to be written out using the same method. The key here is to keep the decimal point in line as the numbers in later addition of decimals may not necessarily all have two digits after the decimal point. Also, don’t forget the £ sign in the answer.

Standard money addition (pg 1)