Category: Free Worksheets Maths: four rules

Maths worksheets: Division of money

There are not many questions on this maths worksheet but they are quite tricky and a good knowledge of tables and how to do long division is needed.

Each question has an amount of money to be divided by a 1 or 2-digit number. In all cases the answer wil have a zero in the pounds column.

As well as the long division process there are several key things to remember when doing these, including:

1. putting the pound sign in the answer

2. putting the zero in the pounds column

3. putting in the decimal point.

Money division (1)

Short division of decimals (2)

Here is another page of practice on using the short method of division of decimals. With the short method all unnecessary writing down of numbers is avoided. The numbers being divided are just units and tenths which helps with getting the method correct.

One of the best ways to be fluent with this method is to talk it through out loud. Eventually this leads to talking through, ‘in your head’.

If we look at question 1 which is 7.2 divided by 3, the verbal stages are:

a. How many 3s in 7?

b. 2 times 3 is 6 so there is 2 with a remainder of 1.

c. Place the 2 on the answer line, immediately above the 7.

d. Place the decimal point just above the answer line so it can be clearly seen.

e. The remainder 1 is placed just in front of the 2 (usually written smaller).

f. How many 3s in 12?

g. 3 x 4 is 12 so the answer is 4.

h. Place the 4 on the answer line, immediately above the 2 (tenths).

i. Answer 2.4

This page can be found in our Four Rules, Division category.

Division of decimals (2)

6 times table space challenge

Children need as many opportunities as possible to practise their knowledge of tables and teachers are always on the lookout for something slightly different to maintain interest. Hopefully this page will be useful as it is a bright and fun way to show how well the 6 times table is known and it could also be used as a timed challenge.

Beginning at the start move to the first box and write the number 6 times that shown on the left hand side, then move on to the next box and so on. There are 20 questions altogether; some children may become ‘stuck’ on a question, encourage them to move on and then return to it at the end. If they are stuck remind them, for example, that if they cannot remember 6 x 6 it is only six more than 5 x 6 which they should be able to remember.

This page can be found in our Maths worksheets, Four Rules, multiplication section and hopefully I will be adding similar pages for other times tables before long.

6x tables space challenge

Written methods of subtraction

During the early years children are not expected to employ written methods to subtract numbers. The aim at this stage is to use mental methods and become really efficient with this. However, the time comes when they must be taught one efficient method of subtraction.

There are three essential skills children should have before embarking on the standard written method:

a. know, off by heart, all addition and subtraction facts to 20

b. be able to subtract multiples of 10 (such as 150 – 60)

c. partition 2-digit and 3-digit numbers into multiples of one hundred, ten and one in different ways (For example partition 83 into 80 and 3 or 70 and 13).

When these skills have been securely grasped it is time to move towards the standard method, which is usually known as decomposition. We have a number of worksheets which explain this method and give practice with it. They can be found in our Four Rules section under subtraction.

Go to our written subtraction worksheets

Short division of decimals (1)

Here is a page of practice on using the short method of division of decimals. The numbers being divided are just units and tenths which helps with getting the method correct.

There are arguments for and against putting the decimal point in before you start, or leaving it until you have reached that point in the question. it does not matter as long as it is inserted correctly.

One of the best ways to be fluent with this method is to talk it through out loud. If we look at question 2 which is 4.5 divided by 3, the verbal stages are:

a. How many 3s in 4?

b. 1 times 3 is 3 so there is 1 with a remainder of 1.

c. Place the 1 on the answer line, immediately above the 3.

d. Place the decimal point just above the answer line so it can be clearly seen.

e. The remainder 1 is placed just in front of the 5 (usually written smaller).

f. How many 3s in 15?

g. 3 x 5 is 15 so the answer is 5.

h. Place the 5 on the answer line, immediately above the 5 (tenths).

i. Answer 1.5

This page can be found in our Four Rules, Division category.

Division of decimals (1)

8 times table practice

Here we have another in our series of Rocket tables sheets. This time it is the 8 times table, which is one of those tables that many children never really get to learn ‘off by heart’. This page makes a good check sheet to see whether the table is known: if it is then it will take little time to complete. If the table is not known then much more time will be needed.

It can be argued that the 8 times table can be derived from doubling the 2x table and then doubling again.Of course, this is true, but it just takes too long.

This can be found in our Maths Worksheets, Four Rules section.

8x tables space challenge

7 times table practice

I have had several requests for more in the way of tables practice sheets: so here is one for the 7 times table.

The 7 times table is probably the hardest of the lot as there is little in the way of a recognisable pattern in the digits. However, if 2, 3, 4, 5 6 and 10 times tables have already been learned, then there is not much else to worry about!

Use this sheet as a timed exercise or as a check to see if the table is really well know.

It can be found in our Four Rules category, under mental methods of multiplication.

7x tables space challenge

Written subtraction of 3-digits (2)

Written subtraction is one of those areas of maths that children frequently get wrong, mainly because they do not fully understand the method. This page looks at 3-digit subtraction and all the questions need  ‘decomposition’ in order to get them correct. The last three questions should be laid out in the same way as the questions above.

Watch out for when there is a zero on the top line; for example when faced with question one:

zero subtract six  is not six.

Rather, say ‘zero take way six cannot be done so I need to borrow 10 from the tens column.’ (I don’t really like this phrase because zero take away six can be done: the answer is negative six, but this takes us into a completely different method of subtraction which I will discuss one day when  it’s been raining all day!)

It is always a good idea to check the answer by adding the answer line to the line above, which, in turn should give you the number at the top of the question.

This page can be found in our Four Rules section, under subtraction.

Standard subtraction of_3_digits_(2)

Written methods of dividing

Today we have a straightforward page of division questions, using the standard method of written division. There are several stages in this process if the correct answer is to be reached.

For example: 74 divided by 3

1. Make a rough estimate of the answer; this can be along the lines of, “It will be over 20 but not as many as 30”.

2. Ask the question, “How many threes in 7?”

There are 2 threes in 7 with a remainder of 1.

3. Place the 2 above the 7 on the answer line and place the one remainder in front of the 4 (making 14).

4. Ask the question, “How many threes in 14?”

There are 4 threes in 14 with 2 remainder.

5. Place the 4 on the answer line.

6. The 2 remainder can be shown as 2/3 on the answer line: making the answer 24 and 2/3.

Remember to set out the last few questions just as the earlier ones have been set out.

Division_2_by_1_p3

Mental arithmetic: dividing by 100

It’s January, and the beginning of a new year, but the sharp brains may have been dulled a little over the last week, so why not satart the new year with a little mental arithmetic? Here we our highlighting 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.

So 1200 divided by 10 is 12.00. There is nothing wrong with leaving the two zeros after the decimal point, but we usually don’t worry with the decimal point or zeros if the answer is a whole number. Whatever you do, don’t tell your children to take away the noughts!!

This, and many other division worksheets, can be found in our Four Rules section as well as in the year group sections under calculating.

Divide by 100 (pg1)