 # Understand and Apply BODMAS Skills

In this worksheet, students will apply BODMAS skills in order to solve a range of calculations. BODMAS is an acronym designed to help students understand the order in which to complete a calculation. Key stage:  KS 2

Curriculum topic:   Exam-style Questions: SATs Maths

Curriculum subtopic:   Exam-Style Questions: BODMAS Skills

Difficulty level:   ### QUESTION 1 of 10

Welcome to this SATs Maths preparation activity!

In this activity, you will use 'BODMAS'.

What is BODMAS?

BODMAS is an acronym, meaning each letter stands for a different mathematical operation.

The reason we have BODMAS is so that we can remember the order in which to carry out different operations, when solving a calculation.

Here is what BODMAS stands for:

B = Brackets

O = Order, these are square roots or indices.

D = Division

M = Multiplication

S = Subtraction

Division and Multiplication have the same level of order so complete from left to right, as they appear.

Addition and Subtraction have the same level of order so complete from left to right, as they appear.

Sometimes, we have to complete a number sentence with several different operations in so it's very important to know which order to complete them in.

Example:

7 + 8 x 3 = ?

BODMAS

Step 1: Complete the multiplication first = 8 x 3 = 24

Step 2: Next complete the addition = 7 + 24 = 31

Over to you now to have a go at using BODMAS.

6 + 4 x 3 = ?

30

18

10 - 8 ÷ 2 = ?

6

1

20 - 4 + 10 = ?

Ted and Freya both tried to solve this calculation.

Who is correct?

Ted

Freya

20 - 4 x 2 = ?

Ed and Sam both tried to solve this calculation.

Who is correct?

Ed

Sam

Can you put the different operations in the correct order they should be used in a calculation?

## Column B

1st
Division
2nd
Order
3rd
Subtraction
4th
Multiplication
5th
6th
Brackets

23 - 18 ÷ 3 = ?

Which operation would you complete first?

Subtraction

Division

7 x 3 - 2 = ?

Which operation would you complete first?

Subtraction

Multiplication

This time, the calculation has 3 steps to solve, can you choose the correct answer?

7 x 3 - 2 x 4

11

12

13

10

3 x 6 + 8 x 2​

Again, the calculation has 3 steps to solve, can you choose the correct answer?

84

72

60

40

For this final question, have a go at solving the calculation by yourself.

14 ÷ 2 - 10 ÷ 5 = ?

• Question 1

6 + 4 x 3 = ?

18
EDDIE SAYS
How did you find the first question? 6 + 4 x 3 = 12 Recap BODMAS. Multiplication first = 4 x 3 = 12 Then Addition = 6 + 12 = 18 If you got 30, you calculated each part of the calculation in the wrong order.
• Question 2

10 - 8 ÷ 2 = ?

6
EDDIE SAYS
Great work if you chose 6. 10 - 8 ÷ 2 = 6 Recap BODMAS. Division first = 8 ÷ 2 = 4 Then addition or subtraction = 10 - 4 = 6 This is a strong start- let's push on.
• Question 3

20 - 4 + 10 = ?

Ted and Freya both tried to solve this calculation.

Who is correct?

Ted
EDDIE SAYS
Ted was correct. Addition and subtraction have the same level of order therefore, we complete the sum from left to right. 20 - 4 + 10 = ? 20 - 4 = 16 + 10 = 26.
• Question 4

20 - 4 x 2 = ?

Ed and Sam both tried to solve this calculation.

Who is correct?

Sam
EDDIE SAYS
Sam was correct. If a question like this comes up during the test, it will be helpful to quickly write BODMAS down somewhere on your test paper to remind you. (Don't write it in the answer box though!) 20 - 4 x 2 = ? Multiplication first; 4 x 2 = 8 Subtraction second; 20 - 8 = 12.
• Question 5

Can you put the different operations in the correct order they should be used in a calculation?

## Column B

1st
Brackets
2nd
Order
3rd
Division
4th
Multiplication
5th
6th
Subtraction
EDDIE SAYS
Did you manage to order each operation correctly? Try to cement the acronym BODMAS into your brain! Why not try making a revision product with the meaning of each letter. You will use BODMAS in Maths lessons until you leave school- it's a really useful method to master.
• Question 6

23 - 18 ÷ 3 = ?

Which operation would you complete first?

Division
EDDIE SAYS
Did you spot that the division part of the calculation has to be completed first? BODMAS shows that division always comes before subtraction. You are over halfway through this activity- keep it up!
• Question 7

7 x 3 - 2 = ?

Which operation would you complete first?

Multiplication
EDDIE SAYS
How are you getting on? This time the multiplication part of the calculation needs to be solved first. BODMAS tells us that multiplication always comes before subtraction. You're making great progress.
• Question 8

This time, the calculation has 3 steps to solve, can you choose the correct answer?

7 x 3 - 2 x 4

13
EDDIE SAYS
Did you get the answer 13? First, both multiplications had to be solved; 7 x 3 = 21 2 x 4 = 8 Then the subtraction; 21 - 8 = 13.
• Question 9

3 x 6 + 8 x 2​

Again, the calculation has 3 steps to solve, can you choose the correct answer?

40
EDDIE SAYS
Following BODMAS, we would solve the multiplication parts of the question first: 3 x 6 = 24 8 x 2 = 16 Then complete the addition; 24 + 16 = 40. This is a super effort and you only have one question left!
• Question 10

For this final question, have a go at solving the calculation by yourself.

14 ÷ 2 - 10 ÷ 5 = ?

5
five
EDDIE SAYS
How did you do? 14 ÷ 2 - 10 ÷ 5 = ? So, complete the division first; 14 ÷ 2 = 7 10 ÷ 5 = 2. Then complete the subtraction; 7 - 2 = 5. Brilliant effort! You have completed another activity and hopefully, you feel more confident solving BODMAS calculations. 