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What is BODMAS And BIDMAS: Explained For Primary School Parents With Practice Questions

BODMAS and BIDMAS crop up throughout primary school maths so here we cover what BODMAS and BIDMAS mean, and provide you with some BODMAS questions and exercises you can use to help your KS2 child practise accurately carrying out BODMAS calculations.

What is BODMAS?

BODMAS is an acronym to help children remember the order of mathematical operations – the correct order in which to solve maths problems.

Bodmas stands for B-Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.

What is the BODMAS rule

The Bodmas rule follows the order of the BODMAS acronym ie  B – Brackets, O – Order of powers or roots, D – Division, M – Multiplication A – Addition, and S – Subtraction. The BODMAS rule states that mathematical expressions with multiple operators need to be solved from left to right in the order of BODMAS. Division and Multiplication are considered as interchangeable and depend on which comes first in the expression, as are Addition and Subtraction.

Some children use the Bodmas rule as a mnemonic (like Richard Of York Gave Battle In Vain is used to remember the colours Red, Orange, Yellow, Green, Blue, Indigo, Violet).

What is BIDMAS?

The BIDMAS rule is an alternative acronym to BODMAS to help remember the order of operations. The only difference is that there’s an I instead of O. The meaning is the same. Bidmas is the term more commonly used in primary schools today.

Bidmas stands for Brackets, Indices, Division/Multiplication, Addition/Subtraction.

Mathematical Operations

“Mathematical operations” are what you do to the numbers given. The four main operations are:

• subtraction (-);
• multiplication (x);
• and division (÷).

Year 6 BIDMAS or BODMAS Worksheet

Download this FREE worksheet, that includes 14 questions to practise working with BIDMAS and BODMAS.

BODMAS meaning

When presented with a number sentence containing more than one operation (such as 3 + 4 x 2) the operations cannot be completed from left to right, but instead in their order of “importance”, which is what BODMAS stands for.

BODMAS stands for:

Brackets
Orders
Division/Multiplication

“Orders” means square roots and indices (which you may know as square numbers, powers or exponents).

BIDMAS meaning

Brackets
Indices
Division/Multiplication

Here “Indices” (square numbers, powers or exponents) are used instead of Orders.

What does order of operations mean?

This is the order in which certain operations must be completed, from brackets first to addition and subtraction last.

It is important that division and multiplication are represented alongside each other as they are of equal importance (so must be completed from left to right, whichever appears first) – this is the same for addition and subtraction.

BODMAS examples

Below are some examples of BODMAS questions and answers children might see in schools. We’ve given you the right answer and at least one different answer to show you where children might go wrong.

Question 1: 6 + 2 x 7

The multiplication must be completed first (2 x 7 = 14) and then the addition (6 + 14 = 20).

This may be commonly miscalculated as 56 by working from left to right (6 + 2 = 8, 8 x 7 = 56).

Question 2: 3 x (2 + 4) + 52

The BODMAS rule states we should calculate the Brackets first (2 + 4 = 6), then the Orders (52 = 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43).

Children can get the wrong answer of 35 by working from left to right.

Question 3: 5 – 2 + 6 ÷ 3

The division must be completed first (6 ÷ 3 = 2) which then leaves addition and subtraction; as both are of the same importance, we can then work from left to right. 5 – 2 + 2 (the answer to 6 ÷ 3) = 5.

This may be commonly miscalculated as either 3 by working from left to right, or as 1 by wrongly assuming that addition should be completed before subtraction.

When will my child learn about BODMAS in primary school?

BODMAS is taught in upper KS2 and often primary school children won’t come across the order of operations until Year 6.

The national curriculum states that Year 6 pupils should be taught to use their knowledge of the order of operations to carry out calculations involving the four operations.

The non-statutory guidance advises that pupils explore the order of operations using brackets; for example, 2 + 1 x 3 = 5 and (2 + 1) x 3 = 9.

BODMAS calculator

As a parent trying to support your child with order of operations questions you’ll find that most calculators and computers nowadays are sophisticated enough to complete calculations according to BODMAS. However it’s worth testing any calculator out just to be sure. There are also plenty of BODMAS calculators available online.

Practice KS2 BODMAS questions

1) 29 – 4 x 6 + 5 =

2) Write what the two missing numbers could be. (4 + ?) x ? = 100

Answer: 6 and 10 (4 + 6) x 10 = 100

3) Write the missing numbers to make these calculations correct.

a) 200 x ? – 200 = 200

b) (100 – ?) x 100 = 100

4) Write the correct sign >, < or = in each of the following

a) (10 + 5) – 9 [     ] (10 + 9) – 5

b) 3 x (4+5) [     ]  (3 x 4) + 5

c) (10 x 4) / 2 [     ]  10 x (4 / 2)

a) (10 + 5) – 9 < (10 + 9) – 5

b) 3 x (4+5) > (3 x 4) + 5

c) (10 x 4) / 2 = 10 x (4 / 2)

Practice Year 6 BODMAS questions

Other tricky primary maths curriculum topics you may need help on

If you feel a child needs some extra support to understand BODMAS, the order of operations, or the other trickier aspects of the primary maths curriculum, Third Space Learning’s online maths lessons provide 1-to-1 support that’s personalised to children’s needs. Tutors develop confidence, and make lessons fun, matching the interests and previous maths experience of the child being taught.

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Since 2013 we’ve helped over 80,000 primary and secondary school pupils become more confident, able mathematicians. Learn more or request a personalised quote to speak to us about your school’s needs and how we can help.

Ellie Williams
Third Space Learning
Content Team
With a love for all things KS2 maths, Ellie is a part of the content team that helps all of the Third Space Learning blogs and resources reach teachers!

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Year 6 BIDMAS or BODMAS Worksheet

Download this FREE worksheet, that includes 14 questions to practise working with BIDMAS and BODMAS.