Order of Operations Math Worksheets - Free Printable

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

> Brackets
> Orders (powers and roots, etc.)
> Division and Multiplication (from left to right)
> Addition and Subtraction (from left to right)

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1) $ 6 \times 2 + (4 + 21 \times 7) \times 2 $

- First: Inside brackets: $ 21 \times 7 = 147 $
- Then: $ 4 + 147 = 151 $
- Now: $ (151) \times 2 = 302 $
- Now: $ 6 \times 2 = 12 $
- Finally: $ 12 + 302 = 314 $

✔ Answer: 314

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2) $ 4 \times 10 \div 5 \times (3 \times 7) \div 21 $

- Brackets first: $ 3 \times 7 = 21 $
- Now expression: $ 4 \times 10 \div 5 \times 21 \div 21 $
- Left to right for multiplication/division:
- $ 4 \times 10 = 40 $
- $ 40 \div 5 = 8 $
- $ 8 \times 21 = 168 $
- $ 168 \div 21 = 8 $

✔ Answer: 8

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3) $ 10 \times 2 \div 4 + (32 \times 10) - 26 $

- Brackets: $ 32 \times 10 = 320 $
- Now: $ 10 \times 2 = 20 $
- $ 20 \div 4 = 5 $
- Now: $ 5 + 320 = 325 $
- $ 325 - 26 = 299 $

✔ Answer: 299

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4) $ 30 - 20 + (35 \times 5 - 22) \times 7 $

- Brackets: $ 35 \times 5 = 175 $
- $ 175 - 22 = 153 $
- $ 153 \times 7 = 1071 $
- Now: $ 30 - 20 = 10 $
- $ 10 + 1071 = 1081 $

✔ Answer: 1081

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5) $ 5 \times 9 + 40 + 24 \div (6 + 18) $

- Brackets: $ 6 + 18 = 24 $
- Division: $ 24 \div 24 = 1 $
- Multiplication: $ 5 \times 9 = 45 $
- Now: $ 45 + 40 + 1 = 86 $

✔ Answer: 86

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6) $ 18 + 8 + 19 + (29 + 19) - 9 $

- Brackets: $ 29 + 19 = 48 $
- Now: $ 18 + 8 = 26 $
- $ 26 + 19 = 45 $
- $ 45 + 48 = 93 $
- $ 93 - 9 = 84 $

✔ Answer: 84

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7) $ (9 - 9) \div 56 \div 47 \div 81 \div 67 $

- Brackets: $ 9 - 9 = 0 $
- $ 0 \div 56 = 0 $
- $ 0 \div 47 = 0 $
- $ 0 \div 81 = 0 $
- $ 0 \div 67 = 0 $

✔ Answer: 0

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8) $ 30 + 17 - 3 - (30 \div 2) + 6 $

- Brackets: $ 30 \div 2 = 15 $
- Now: $ 30 + 17 = 47 $
- $ 47 - 3 = 44 $
- $ 44 - 15 = 29 $
- $ 29 + 6 = 35 $

✔ Answer: 35

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9) $ 10 \times 3 - 7 - (4 \times 5 \div 4) $

- Brackets: $ 4 \times 5 = 20 $
- $ 20 \div 4 = 5 $
- Now: $ 10 \times 3 = 30 $
- $ 30 - 7 = 23 $
- $ 23 - 5 = 18 $

✔ Answer: 18

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10) $ 2 + 39 \times (10 + 23) + 37 - 13 $

- Brackets: $ 10 + 23 = 33 $
- $ 39 \times 33 = 1287 $
- Now: $ 2 + 1287 = 1289 $
- $ 1289 + 37 = 1326 $
- $ 1326 - 13 = 1313 $

✔ Answer: 1313

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11) $ (40 - 4 \times 1 \times 8 + 5) \times 3 $

- Inside brackets: First do multiplication: $ 4 \times 1 \times 8 = 32 $
- Now: $ 40 - 32 = 8 $
- $ 8 + 5 = 13 $
- Now: $ 13 \times 3 = 39 $

✔ Answer: 39

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12) $ 30 + 26 + 27 \times 2 - 39 \div 13 $

- Division: $ 39 \div 13 = 3 $
- Multiplication: $ 27 \times 2 = 54 $
- Now: $ 30 + 26 = 56 $
- $ 56 + 54 = 110 $
- $ 110 - 3 = 107 $

✔ Answer: 107

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✔ Final Answers:

1) 314
2) 8
3) 299
4) 1081
5) 86
6) 84
7) 0
8) 35
9) 18
10) 1313
11) 39
12) 107

Let me know if you'd like a printable version or explanation in a different format!