Year 6 · Maths

BODMAS worksheet for Year 6

Use the same operation priorities for Noah’s new orders. There are 14 questions and 23 marks. Write a final answer and any working that helps you.

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Year 6 · Maths

BODMAS worksheet

Name: __________________

Part 1 · Noah’s fair tokens

Noah holds a paper bag containing blue and gold tokens, ready to prepare two separate school-fair orders.

Two different orders for the school fair

Order A has six loose tokens plus two bags of three, giving twelve. Order B has three bags each with six blue and two gold tokens, giving twenty-four.

Brackets, powers, × and ÷, then + and −. Equal priorities: work left to right.

Noah has 8 loose tokens and 3 bags of 4.
1 8 + 3 × 4 (1 mark)
Your final answerShow your working (optional)
Answer
Working (optional)
Show the answer and working
20
Multiply first: 3 × 4 = 12, then add 8 to get 20.
One stall gets a sixth of 24 tokens, plus 5 extra.
2 24 ÷ 6 + 5 (1 mark)
Your final answerShow your working (optional)
Answer
Working (optional)
Show the answer and working
9
Divide first: 24 ÷ 6 = 4, then add 5 to get 9.
Remove one third of 12 tokens from Noah’s 18.
3 18 − 12 ÷ 3 (1 mark)
Your final answerShow your working (optional)
Answer
Working (optional)
Show the answer and working
14
Divide first: 12 ÷ 3 = 4, then subtract 4 from 18 to get 14.
Four bags each hold 8 blue and 3 gold tokens.
4 (8 + 3) × 4 (1 mark)
Your final answerShow your working (optional)
Answer
Working (optional)
Show the answer and working
44
Calculate the brackets first: 8 + 3 = 11, then 11 × 4 = 44.

Year 6 · Maths

BODMAS worksheet

Name: __________________

Part 2 · Calculate in order

Three teams of 2 share 36 tokens equally. Find one pupil’s share.
5 36 ÷ (3 × 2) (1 mark)
Your final answerShow your working (optional)
Answer
Working (optional)
Show the answer and working
6
Calculate the brackets first: 3 × 2 = 6, then 36 ÷ 6 = 6.
From 20 tokens, spend 6 at one stall and 4 at another.
6 20 − (6 + 4) (1 mark)
Your final answerShow your working (optional)
Answer
Working (optional)
Show the answer and working
10
Calculate the brackets first: 6 + 4 = 10, then 20 − 10 = 10.
Share 24 tokens among 6 stalls; double one share.
7 24 ÷ 6 × 2 (2 marks)
Your final answerShow your working (optional)
Answer
Working (optional)
Show the answer and working
8
Division and multiplication share priority, so work left to right: 24 ÷ 6 = 4, then 4 × 2 = 8.
Noah starts with 18 tokens, spends 6, then adds 2.
8 18 − 6 + 2 (2 marks)
Your final answerShow your working (optional)
Answer
Working (optional)
Show the answer and working
14
Subtraction and addition share priority, so work left to right: 18 − 6 = 12, then 12 + 2 = 14.
Add a 3-by-3 token square to 4 bags of 5.
9 3² + 4 × 5 (2 marks)
Your final answerShow your working (optional)
Answer
Working (optional)
Show the answer and working
29
Calculate the order and multiplication first: 3² = 9 and 4 × 5 = 20, then 9 + 20 = 29.
A square array has 5 + 1 tokens per side. Share all equally among 9 pupils.
10 (5 + 1)² ÷ 9 (2 marks)
Your final answerShow your working (optional)
Answer
Working (optional)
Show the answer and working
4
Brackets first give 6, then the order gives 6² = 36, then 36 ÷ 9 = 4.

Year 6 · Maths

BODMAS worksheet

Name: __________________

Part 3 · Explain and create

Noah checks a stallholder’s token calculation.
11 Correct the claim: 12 − 4 × 2 = 16. (2 marks)
Correct the calculation and explain why
Correct calculationCorrect the calculation and explain why
Explain why
Show the answer and working
4
Multiply first: 4 × 2 = 8, then 12 − 8 = 4. The claim is incorrect.
Five bags each need 6 blue and 2 gold tokens.
12 Add brackets to make 6 + 2 × 5 equal 40. (2 marks)
Write the expression with brackets, then your calculation
With bracketsWrite the expression with brackets, then your calculation
Calculation
Show the answer and working
(6 + 2) × 5 = 40
The brackets make 6 + 2 the first calculation: 8 × 5 = 40.
Noah has 7 loose tokens and 3 equally filled bags.
13 Find the missing number: 7 + □ × 3 = 22. (2 marks)
Give the missing number and check it in the expression
Missing numberGive the missing number and check it in the expression
Check
Show the answer and working
5
22 − 7 = 15, and 15 ÷ 3 = 5, so 7 + 5 × 3 = 22.
Make two token orders using the same three numbers.
14 Use 4, 5 and 2 once each to produce both 14 and 18. (3 marks)
Write one expression for 14 and another for 18
Makes 14Write one expression for 14 and another for 18
Makes 18
Show the answer and working
4 + 5 × 2 = 14; (4 + 5) × 2 = 18
Changing only the brackets changes which operation happens first.

Where next?

Need an earlier step?Practise the four operations in Year 5 Ready for the next step?Use estimation to check your answers

Browse all Year 6 Maths lessons