Free Worksheets Maths: four rules
More addition of money
I am often asked to provide more pages of addition ‘sums’ so here is another look at using the standard method of addition for money.
The first eight questions are laid out in the correct way. The next seven need to be written in the same way, with the decimal points lining up in a vertical line.
With these questions there is ‘carrying’ from both the hundredths to the tenths and from the tenths to the whole pounds.
If this page is sent as homework look for clues that the answers have been done on a calculator. All working should be shown, including the smaller ’1′ below the answer line. Also question 10 should be answered as £10.00 rather than just £10.
There is no harm in using a calculator to check that the answers are correct, but the main purpose of pages like these is to give practice and reinforcement of the written method.
This page and other similar pages can be found in the Four Rules category, under Addition.
Long multiplication worksheets
Here is a page of practice questions for long multiplication using the standard written method. Each question is laid out so that the answer can be completed in three parts.
Looking at 67 x 23, the three stages would be:
1. multiply 67 by 20. The easiest way to do this is to place a zero in the units column of the answer and then multiply by 2. Placing the zero has the effect of moving each digit one place to the left, hence ten times bigger.
2. multiply by the units (3) and place the answer below, making sure the units go in the units column etc.
3. add the two products.
Of course the units could be multiplied first, followed by the tens, but it is important to find one standard method and stick to it. Of course, tables to to be known to make this a quick process.
This worksheet, and others, similar can be found in the Four Rules section of the site, under Multiplication.
Long multiplication 2-digits by 2-digits
Maths worksheet: Division of money
I have had several requests to produce another division of money worksheet as it seems this is quite hard and children need plenty of practice with it – so here it is. Dividing money by 2-digit numbers requires a very good knowledge of multiplication, tables and subtraction. The long division method can be found in other worksheets in this category but as a reminder the question should be started as follows:
eg £3.64 divided by 26.
1. ask how many 26s go into 3.
The answer is zero, so put the zero in the pounds column of the answer.
3. remember the decimal point.
4. Ask how many 26s go into 36 and continue with the long division method.
Long multiplication: 3-digits by 2-digits
A standard page of long multiplication questions here. For children to be successful with these they need to have a good knowledge of ‘times tables’. Without this knowledge the whole process becomes quite tedious and errors can slip in even if the method is correct.
The standard method of long multiplication is one which most adults will be familiar with. It does not really matter if the number is multiplied by the tens first or the units first, as long as it is remembered to place a zero in the units column when multiplying by the tens digit. It is also important to line up the answer so that hundreds, tens and units are directly under each other: adding the final total can be very difficult if this is not done.
Long multiplication 3 digits by 2 digits
Resource of the Week: Written multiplication of money
Multiplication of money by a single digit is very much like multiplying a 3-digit number by a single digit, but, of course, the decimal point needs to be included. It would normally be expected to answer these types of question using the standard written method.
The first 8 questions are set out in the standard way but it is important that the second set of questions, from 9 to 15 should be set out in the correct way and not attempted as shown.
When marking these check that the working is shown, especially that the numbers have been carried across. It is often a good idea for children to check the answers to this type of question by using a calculator. (If they just use the calculator to find the answer this is quite obvious as there is no working shown!)
This page any many others can be found in our Four Rules section.
9x table space challenge
Continuing with my series of tables space challenges, we reach the 9x table. because there is a regular pattern to the answers to the 9x table it is one of the easier tables to learn. Of course, the digits of the answers always add up to 9 and the tens go up one at a time whilst the units decrease one at a time (only up to 90).
This worksheet can be used as a fun test to see how well knowledge of the times table can be put into practice. Because the table is jumbled up it becomes slightly harder and takes longer to do, especially if the table is not known ‘off by heart’. Remember, when learning the table say the whole of it (eg one times 9 is 9) and not just the answers, which is counting up in nines, not saying the table.
Maths Resources: Written Addition
One of the most popular parts of the site for parents is our Free Maths Worksheets: Four Rules pages on written addition.
Many parents think that the methods they were taught at school (and for many this would be in the mid 1990s) are different from today. This is only partly true. Since the onset of the Numeracy Strategy and later the Primary Framework for Maths the emphasis has been on preparing children properly so that they understand the written methods they use. So there is a lot of preparation work and methods often called, ‘Moving towards the standard written method’ that may not be familiar to parents, but the end result is pretty much the same. It is these intermediate stages which some parents find puzzling.
The standard written method is to lay out the sum vertically, with the numbers to be added under each other. The units are added first, then the tens and so on. We have several worksheets which explain this method in full.
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.
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.
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.
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