Category: Free Worksheets Maths: four rules

Learning tables: 6x, 7x, 8x, 9x and 10x tables

678910-table-1This maths worksheet has a tables grid for the 6x, 7x, 8x, 9x and 10x table.
The grid is filled in by taking the numbers across the top with the numbers down the side as shown below.
x 060 7
2 12 14
6 36 42

These are mostly the harder tables to learn, apart from the tens. The nines also have a neat pattern to them; of course remembering that the digits always add up to 9 helps with this table.

There are many different approaches to this type of problem. Some children fill in the answers in strict order, others go through and complete the ones they know off by heart, and then try to work the rest out.
It is a good idea to set a time limit to these to encourage learning them off by heart.

6, 7, 8, 9 and 10 times tables  pg 1

Maths worksheet: Moving towards standard method for multiplication

5x-multiplyingThis method of multiplication encourages understanding of the process of multiplying a 2-digit number by  a 1-digit number. The questions on this page would not normally be completed using written methods: mental methods should suffice. It would be expected that children could do these ‘in their heads’ from a  knowledge of multiplying by 10 and halving. Also, the Primary Framework for Mathematics does not recommend using these types of written method until Year 3 onwards (7/8 years old).

The method is to multiply the units first, then multiply the tens, finally adding the two together. It is a ‘half-way house’ towards the standard written method, explaining what happens when the tens boundary is crossed during multiplying the units (ie when the units come to more than 10). More details are shown on the worksheet pages below.

The stages are as follows:

36 x 5

Step 1: multiply the units

6 x 5 = 30

Put the 30 in the row below the question, making sure the 3 digit is in the tens column.

Step 2: multiply the tens

3 (tens) x 5  is 15 (tens) = 150.

Put the 150 in the row below, again making sure the units and tens
line up.

Step 3: add the two answers

Add the units:                      0 + 0 = 0 units
Then add the tens:             3 + 5 = 8 tens
Then add the hundreds:   0 + 1 = 1 hundred

Answer: 180

5x moving towards standard multiplication

Maths worksheet: adding 4-digit numbers (1)

4digit-addition-1Addition of two 4-digit numbers is usually done on paper, using the standard method described on the worksheet. Once addition of HTU has been mastered it is a fairly straightforward step to adding thousands, eg
5 6 8 7 + 2 5 4 6

The key is to keep the numbers in line (tens under tens etc) and to always start with the units. Most children will not have a problem with this and many really enjoy completing sets of sums. It is a good idea to encourage checking by doing the inverse ie subtracting the second number from the answer to give the first number. This checking could be done on a calculator.

Standard addition of 4-digits (1)

Maths worksheet: subtract from 20 mentally

subtract-from-20There are a number of different ways in which subtraction problems can be phrased including terms such as ‘Take from’ and ‘How many more’. This maths worksheet looks at some of them, whilst concentrating on subtracting from 20 using mental methods.

The usual method of mentally subtracting is to ‘add on’. For example 20 – 7.

Add 3 to 7 to make 10 and then add a further 10 to make 20. Answer 3 + 10 which is 13.

Or, the ten could be added first to make 17 and then count on to 20.

Either way is equally good.

Subtract from 20 (pg 1)

Addition worksheet: Complete sums

find-two-answers-pg-1We usually think of an addition number sentence with the two numbers to add already given and just the answer to work out. This page looks at it from a different angle; giving the answer and asking for two numbers which will complete the sum correctly. This is a good exercise to show children that there are often several ways to complete a problem.

Complete the addition sums (pg 1)

Maths worksheet: divide by 5 mentally

divide-by-5Here is a page on dividing by 5 ‘in your head’. Divide each of the numbers in the circles by 5 and place the answers in the outside hexagons.

This is a useful exercise as it helps to show the relationship between division and multiplication. If the 5 times table is known these are quite simple; if the 5 x table is not known then they are very difficult!

It relies on the knowledge that if 5 x 7 = 35 then three other facts are known:

1. 7 x 5 = 35 and

2. 35 divided by 7 = 5

3. 35 divided by 5 = 7

Divide by 5 mentally (pg 1)

Maths worksheets: adding 10 to a single digit

add10Another two pages in our series of simple addition worksheets, adding ten to a single digit. This, of course is easy if place value is understood. Another point to make is that as addition can be done in any order it is easier to think of these as adding the single digit to 10.

Adding-10-to-a-single-digit (pg 1)

Adding-10-to-a-single-digit (pg 2)

Maths worksheet: Subtracting a decimal from a whole number


subtract-a-decimal-from-a-whole-number-1Subtracting a decimal number from a whole number can be done ‘in your head’ if it only involves tenths, usually by ‘counting on’ .

A good knowledge of pairs of numbers which make 10 really helps here.

Let’s look at:

1 – 0.3

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

Step 1:  Count on from 0.3, in tenths   up to one.

(eg 0.4, 0.5, 0.6 …etc

which comes to  0.7

1 – 0.3 = 0.7

Of course, if you know that 7 + 3 makes 10, then you can transfer this knowledge ie 0.3 + 0.7 = 1
In the same way:

4 – 3.3 = 0.7

Watch out for the answer 1.7 to the above question which is incorrect and shows a lack of understanding of numbers and ‘counting on’.

Subtract a decimal from a whole number (1)

Maths worksheet: learning tables

48510-table-1Tables grids for 4x, 8x, 5x and 10x tables

On the next page is a tables grid for learning the 4x, 8x, 5x and 10x tables.
The grid is filled in by taking the numbers across the top with the numbers down the side as shown below.

x      4       8
5 20    40
6 24    48

The tables have been chosen because the 8x table is double the 4x table and the 5x table is half of the 10x table. This should lead to a quicker speed of working out even if the tables have not been learnt.

There are many different approaches to this type of problem. Some children fill in the answers in strict order, others go through and complete the ones they know off by heart, and then try to work the rest out.
It is a good idea to set a time limit to these to encourage learning them off by heart.

4x 8x 5x 10x table (pg 1)

Lots more on tables on the ‘It’s All Figured Out!’ CD from mathsphere.co.uk