Maths worksheet: Moving towards a standard method of division

division-2-by-1-digit-2This is the second division worksheet which looks at the intermediate stage between mental methods of division and a standard method. I am not a great fan of this method but it is used in many schools.

The first thing to do, as always is to make an estimate of the answer so that any silly slip ups in the calculation may immediately come to light. The second stage is to  find a multiple of ten that can be taken away – in all these examples and questions this multiple is 10 itself. Then we move towards the more traditional method of asking ‘how many…. in….’.

If you are just moving towards doing division, perhaps in Year 3/4 it is certainly a method which can be used.

Division 2 by 1 digit (p2)

Maths worksheet: Dividing a 2-digit number by a single digit.

divide-2-by-1-pg1When parents come to help their children with maths it is often division which is the most problematic area. Frequently it is the parents who claim they do not understand the ‘modern methods’ used in school today. The final efficient, or standard method of division is much the same method as it has always been: it is the stages that are used to reach this standard method which cause most confusion. These stages, or steps are aimed at providing children with an understanding of the whole process, although I believe that sometimes they can lead to more confusion.

Here we have one of these steps towards an efficient method.

77 ÷ 4


40 (10 × 4)


36 ( 9 × 4)


Next, take away a tens multiple of the divisor (4). 10 x 4 = 40.

Subtract 40 from the 77 leaves 37.

Then ask, ‘How many 4s in 37?’

9 x 4 is 36 so it is 9 with a remainder of 1.

Add the 10 and the 9 which makes 19.

Answer: 19 remainder 1.

All these questions have a single tens multiple of the divisor. Of course, this will not always be the case as questions become harder.

Division: 2 digit by 1 digit (pg 1)

Free maths worksheet: Division and multiplication corresponding

multiplication-and-divisionThis maths worksheet looks at the correspondence between multiplication and division. Given one fact, three others can be worked out. For example:

Given that  5 x 4 = 20 then:

a. 4 x 5 = 20

b. 20 ÷ 5 = 4

c. 20 ÷ 4 = 5

A full understanding of this relationship is needed before children can go on to written methods of division. If your child is struggling with division it would be well worth checking that they understand this.

To make sense of this it is a good idea to ‘talk through’ what these number sentences say.

If 5 lots of 4 are 20 then 4 lots of 5 will also be 20.

If 20 sweets are shared equally between 4 people they get 5 each.

If 20 sweets are shared equally between 5 people they get 4 each.

Multiplication and division corresponding

Year 2 maths worksheet:Understanding division as sharing

sharing-1Division is usually the hardest of the four rules for children to learn, but in the early stages it is quite straightforward. Children often come across division for the first time when sharing, usually between two. The key concept,of course, is that the sharing is done equally. So, for example, 6 sweets shared between 2 children implies that the sharing is equal and they both receive the same number.

By far the best way to practice sharing is to use practical apparatus or use real life situations. Eg share the strawberries equally between two, share or deal the cards equally etc. Usually this is done on a ‘one for you and one for me’ type process until there are none left. This maths worksheet replicates a practical situation, with the ultimate aim that children begin to remember the answers, which, of course are the inverse of multiplication.

Division as sharing (pg 1)