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BODMAS

I can solve expressions using the order of operations.

Here are some multi-part expressions. Complete the underlined part of the expression first then
use the answer to that to complete the expression.

Here is an example: 3 × (2 + 6)
3× 8 = 24

1. 7 × (8 − 3) 6. 21 ÷ (4 + 3) 11. 9 × (3 + 3)

2. 7 + 9 × 2 7. 10 - 9 ÷ 3 12. 23 - (3 + 1)

3. 10 ÷ (6 – 4) 8. 7 + 6 × 4 13. (10 + 5) ÷ 5

4. 12 ÷ (7 - 4) 9. (12 + 20) ÷ 4 14. 12 ÷ (7 - 4)

5. (8 + 9) + 62 10. (13 - 6) × 5 15. (11 - 3) × 7

Decide which part of each expression to calculate first, underline and complete as above.

1. (12 – 7) × 8 2. 9 + 2 × 7 3. 18 ÷ (8 – 2)
BODMAS
I can solve expressions using the order of operations.

1. (12 + 8) ÷ 4 = 6. (21 – 9) × 2 = 11. (8 + 13) ÷ 7 =

2. (52 + 10) ÷ 5 = 7. 8 × 3 + 6 = 12. 25 - 11 × 2 =

3. (8 + 9) + 62 = 8. 3 × (15 – 9) = 13. (72 + 11) ÷ 5 =

4. 4 × 6 – 14 = 9. 63 - (35 + 12) = 14. 9 ÷ (10 – 7) =

5. 18 ÷ (4 + 5) = 10. (14 + 21) ÷ 5 = 15. 26 – 3 × 7 =

Complete these calculations by filling in the missing number.

1. 4 × – 25 = 23 4. (5 + 9) ÷ =2 7. ÷ (7 – 2) = 3

2. (26 - 10) ÷ =4 5. 9 × (12 – ) = 63 8. 8 2 + (66 - ) = 86

3. 60 = 5 × (3 + ) 6. 45 = (5 + )×5 9. 6 = ÷ (11 – 4)
BODMAS
I can solve expressions using the order of operations.

Calculate:
1. (3 + 6) × (8 – 5) = 6. 8 ÷ (7 – 5) × 6 =

2. 7 + 8 × 9 – 4 = 7. 9 × 3 + 18 ÷ 9 =

3. 8 × (6 + 3) + 5 = 8. (124 ÷ 2) × 22 =

4. (19 – 7) + 82 + 9 = 9. 23 – 3 × (5 + 8) =

5. 9 × (5 + 6) + 4 = 10. 8 + 7 × (12 – 5) =

Put brackets in the following to make the answers correct.


1. 6 × 7 – 4 × 8 = 10 6. 8 × 7 – 4 ÷ 6 = 4

2. 8 × 9 – 5 – 6 = 26 7. 9 + 23 – 5 × 5 = 7

3. 24 – 17 × 8 – 16 = 40 8. 5 + 11 ÷ 7 – 3 = 4

4. 14 + 6 × 4 – 32 = 6 9. 7 + 6 × 12 – 7 = 37

5. 9 × 7 – 6 × 3 = 27 10. 15 + 9 ÷ 6 – 4 = 0

Use all the following numbers to create an expression using order of operations: 3, 4, 6, 12

Using your own number cards, challenge a partner to find expressions with certain answers.
BODMAS Answers
Lower Ability Middle Ability Higher Ability

1. 7 × 5 = 35 1. (12 + 8) ÷ 4 = 5 1. (3 + 6) × (8 – 5) = 27

2. 7 + 18 = 25 2. (52 + 10) ÷ 5 = 7 2. 7 + 8 × 9 – 4 = 75

3. 10 ÷ 2 = 5 3. (8 + 9) + 62 = 53 3. 8 × (6 + 3) + 5 = 77

4. 12 - 3 = 4 4. 4 × 6 – 14 = 10 4. (19 - 7) + 82 + 9 = 85

5. (8 + 9) + 62 = 53 5. 18 ÷ (4 + 5) = 2 5. 9 × (5 + 6) + 4 = 103

6. 21 ÷ 7 = 3 6. (21 – 9) × 2 = 24 6. 8 ÷ (7 – 5) × 6 = 24

7. 10 - 3 = 7 7. 8 × 3 + 6 = 30 7. 9 × 3 + 18 ÷ 9 = 29

8. 7 + 24 = 31 8. 3 × (15 – 9) = 18 8. (124 ÷ 2) × 22 = 248

9. 32 ÷ 4 = 8 9. 63 - (35 + 12) = 169 9. 23 - 3 x (5+8) = -16

10. 7 × 5 = 35 10. (14 + 21) ÷ 5 = 7 10. 8 + 7 × (12 – 5) = 57

11. 9 × 6 = 54 11. (8 + 13) ÷ 7 = 3


1. (6 × 7) – (4 × 8) = 10
12. 23 - (3 + 1) = 4 12. 25 - 11 × 2 = 3
2. 8 × (9 – 5) – 6 = 26
13. 15 ÷ 5 = 3 13. (7 + 11) ÷ 5 =12
2
3. (24 – 17) × 8 – 16 = 40
14. 12 ÷ 3 = 4 14. 9 ÷ (10 – 7) = 3
4. 14 + 6 × 4 – 32 = 6 (no brackets)
15. 8× 7 = 56 15. 26 – 3 × 7 = 5
5. 9 × (7 – 6) × 3 = 27

6. 8 × (7 – 4) ÷ 6 = 4
1. (12 – 7) × 8 = 40 1. 4 × 12 – 25 = 23
7. 9 + 23 – 5 × 5 = 7 (no brackets)
2. 9 + 2 × 7 = 23 2. (26 - 10) ÷ 22 = 4
8. (5 + 11) ÷ (7 – 3) = 4
3. 18 ÷ (8 – 2) = 3 3. 60 = 5 × (3 + 9)
9. 7 + 6 × (12 – 7) = 37
4. (5 + 9) ÷ 7 = 2
10. (15 + 9) ÷ 6 – 4 = 0
5. 9 × (12 – 5) = 63
Possible answers: 12 – 3 × 4 + 6 = 6
6. 45 = (5 + 4) × 5
6 + 4 + 3 – 12 = 1 (4 × 3) – (12 ÷ 6) = 10
7. 15 ÷ (7 – 2) = 3
12 ÷ 6 × (4 – 3) = 2 (12 × 3) – (6 × 4) = 12
8. 8 + (66 - 44) = 86
2
12 ÷ 6 + 4 – 3 = 3 (4 + 6) × 3 – 12 = 18
9. 6 = 42 ÷ (11 – 4)
6 × 4 ÷ 12 + 3 = 5 (4 + 6) × 12 ÷ 3 = 40

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