Order of Operations Math Worksheets - Free Printable

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

> 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) $ 5 \times 2 + (37 + 3 \times 5) + 37 $

- First: Inside brackets → $3 \times 5 = 15$, so:
$$
(37 + 15) = 52
$$
- Now: $5 \times 2 = 10$
- So: $10 + 52 + 37 = 99$

✔ Answer: 99

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2) $ (20 + 30 + 14) + 21 + 1 \times 2 $

- Brackets: $20 + 30 + 14 = 64$
- Multiplication: $1 \times 2 = 2$
- Now: $64 + 21 + 2 = 87$

✔ Answer: 87

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3) $ (31 - 6 - 16) + 14 \times 5 + 6 $

- Brackets: $31 - 6 = 25$, $25 - 16 = 9$
- Multiplication: $14 \times 5 = 70$
- Now: $9 + 70 + 6 = 85$

✔ Answer: 85

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4) $ (30 - 11) - 16 + 30 + 17 - 22 $

- Brackets: $30 - 11 = 19$
- Now: $19 - 16 = 3$, $3 + 30 = 33$, $33 + 17 = 50$, $50 - 22 = 28$

✔ Answer: 28

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5) $ (18 - 7) + 20 - 8 + 24 \times 1 $

- Brackets: $18 - 7 = 11$
- Multiplication: $24 \times 1 = 24$
- Now: $11 + 20 = 31$, $31 - 8 = 23$, $23 + 24 = 47$

✔ Answer: 47

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6) $ 5 + 26 \times 2 + (40 \times 5 + 14) $

- Brackets: $40 \times 5 = 200$, $200 + 14 = 214$
- Multiplication: $26 \times 2 = 52$
- Now: $5 + 52 = 57$, $57 + 214 = 271$

✔ Answer: 271

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7) $ 9 \times 8 \times 10 - (37 + 4) + 2 $

- Brackets: $37 + 4 = 41$
- Multiplication: $9 \times 8 = 72$, $72 \times 10 = 720$
- Now: $720 - 41 = 679$, $679 + 2 = 681$

✔ Answer: 681

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8) $ 29 + 37 + (24 \times 3 + 37) + 40 $

- Brackets: $24 \times 3 = 72$, $72 + 37 = 109$
- Now: $29 + 37 = 66$, $66 + 109 = 175$, $175 + 40 = 215$

✔ Answer: 215

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9) $ 7 \times 1 \times (8 \times 6) + 14 \times 8 $

- Brackets: $8 \times 6 = 48$
- Multiplications:
- $7 \times 1 = 7$, $7 \times 48 = 336$
- $14 \times 8 = 112$
- Now: $336 + 112 = 448$

✔ Answer: 448

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10) $ 4 + (25 \times 1 - 25) + 18 + 24 $

- Brackets: $25 \times 1 = 25$, $25 - 25 = 0$
- Now: $4 + 0 = 4$, $4 + 18 = 22$, $22 + 24 = 46$

✔ Answer: 46

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11) $ 34 - 10 \times 2 + 23 \times (4 + 5) $

- Brackets: $4 + 5 = 9$
- Multiplication: $10 \times 2 = 20$, $23 \times 9 = 207$
- Now: $34 - 20 = 14$, $14 + 207 = 221$

✔ Answer: 221

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12) $ 7 \times (7 + 12 \times 7 + 27 + 28) $

- Inside brackets:
- First: $12 \times 7 = 84$
- Then: $7 + 84 = 91$, $91 + 27 = 118$, $118 + 28 = 146$
- Now: $7 \times 146 = 1022$

✔ Answer: 1022

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✔ Final Answers:

1) 99
2) 87
3) 85
4) 28
5) 47
6) 271
7) 681
8) 215
9) 448
10) 46
11) 221
12) 1022

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