Order of Operations Math Worksheets - Free Printable

Let's solve each of these problems step by step using the BODMAS rule:

> BODMAS stands for:
> - Brackets
> - Orders (i.e., powers and roots, etc.)
> - Division and Multiplication (from left to right)
> - Addition and Subtraction (from left to right)

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1) $ 2 \times (7 + 33 \times 2) \times 4 $

- First: Inside brackets → $ 33 \times 2 = 66 $
- Then: $ 7 + 66 = 73 $
- Now: $ 2 \times 73 = 146 $
- Then: $ 146 \times 4 = 584 $

✔ Answer: 584

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2) $ 6 \times 4 + 30 \times (1 \times 5) $

- Brackets: $ 1 \times 5 = 5 $
- Multiplications: $ 6 \times 4 = 24 $, $ 30 \times 5 = 150 $
- Addition: $ 24 + 150 = 174 $

✔ Answer: 174

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3) $ (2 + 18 + 28 \times 10) \times 4 $

- Inside brackets: Do multiplication first → $ 28 \times 10 = 280 $
- Then: $ 2 + 18 + 280 = 300 $
- Multiply: $ 300 \times 4 = 1200 $

✔ Answer: 1200

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4) $ 9 \times 5 - (15 + 14 \times 2) $

- Inside brackets: $ 14 \times 2 = 28 $, then $ 15 + 28 = 43 $
- $ 9 \times 5 = 45 $
- $ 45 - 43 = 2 $

✔ Answer: 2

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5) $ (29 + 5) \times 9 - 1 + 38 $

- Brackets: $ 29 + 5 = 34 $
- $ 34 \times 9 = 306 $
- Then: $ 306 - 1 = 305 $
- $ 305 + 38 = 343 $

✔ Answer: 343

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6) $ 34 + (24 - 10) \times 4 \times 6 $

- Brackets: $ 24 - 10 = 14 $
- Multiplication: $ 14 \times 4 = 56 $, $ 56 \times 6 = 336 $
- $ 34 + 336 = 370 $

✔ Answer: 370

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7) $ 34 + (2 + 39 + 9) + 15 $

- Brackets: $ 2 + 39 + 9 = 50 $
- $ 34 + 50 = 84 $
- $ 84 + 15 = 99 $

✔ Answer: 99

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8) $ 4 \times 9 + 26 \times 8 + 25 $

- Multiplications: $ 4 \times 9 = 36 $, $ 26 \times 8 = 208 $
- Add: $ 36 + 208 = 244 $
- $ 244 + 25 = 269 $

✔ Answer: 269

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9) $ 6 \times 10 \times 6 \times 2 - 20 $

- Left to right multiplication:
$ 6 \times 10 = 60 $
$ 60 \times 6 = 360 $
$ 360 \times 2 = 720 $
- Subtract: $ 720 - 20 = 700 $

✔ Answer: 700

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10) $ 20 + 33 + 2 + (29 - 5) $

- Brackets: $ 29 - 5 = 24 $
- Add all: $ 20 + 33 = 53 $, $ 53 + 2 = 55 $, $ 55 + 24 = 79 $

✔ Answer: 79

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11) $ (7 \times 5) + 33 - 2 + 22 $

- Brackets: $ 7 \times 5 = 35 $
- Left to right:
$ 35 + 33 = 68 $
$ 68 - 2 = 66 $
$ 66 + 22 = 88 $

✔ Answer: 88

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12) $ 1 \times 9 + 34 \times 7 + 32 $

- Multiplications: $ 1 \times 9 = 9 $, $ 34 \times 7 = 238 $
- Add: $ 9 + 238 = 247 $
- $ 247 + 32 = 279 $

✔ Answer: 279

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13) $ 6 \times (7 \times 4 \times 1) - 35 $

- Brackets: $ 7 \times 4 = 28 $, $ 28 \times 1 = 28 $
- $ 6 \times 28 = 168 $
- $ 168 - 35 = 133 $

✔ Answer: 133

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14) $ 9 \times 4 \times 4 - (3 + 22) $

- Brackets: $ 3 + 22 = 25 $
- Multiplication: $ 9 \times 4 = 36 $, $ 36 \times 4 = 144 $
- $ 144 - 25 = 119 $

✔ Answer: 119

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15) $ 37 + (14 + 12 + 15) \times 2 $

- Brackets: $ 14 + 12 + 15 = 41 $
- $ 41 \times 2 = 82 $
- $ 37 + 82 = 119 $

✔ Answer: 119

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16) $ 6 + 14 \times (7 + 24) \times 6 $

- Brackets: $ 7 + 24 = 31 $
- Multiplication from left to right:
$ 14 \times 31 = 434 $
$ 434 \times 6 = 2604 $
- $ 6 + 2604 = 2610 $

✔ Answer: 2610

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✔ Final Answers:

1. 584
2. 174
3. 1200
4. 2
5. 343
6. 370
7. 99
8. 269
9. 700
10. 79
11. 88
12. 279
13. 133
14. 119
15. 119
16. 2610

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