Order of Operations Math Worksheets - Free Printable

Of course! Let's solve each of these problems step by step using the BODMAS rule.

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📌 What is BODMAS?

BODMAS stands for:
- Brackets
- Orders (powers, roots — not in this worksheet)
- Division
- Multiplication
- Addition
- Subtraction

We perform operations in that order. If an operation appears multiple times, we go left to right.

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Let’s solve each problem one by one:

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1) `18 - 15 + 1 × (7 + 38)`

Step 1: Brackets → `(7 + 38) = 45`
→ `18 - 15 + 1 × 45`

Step 2: Multiplication → `1 × 45 = 45`
→ `18 - 15 + 45`

Step 3: Left to right:
`18 - 15 = 3`
`3 + 45 = 48`

✔ Answer: 48

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2) `18 + 18 - 21 + (30 + 16)`

Step 1: Brackets → `(30 + 16) = 46`
→ `18 + 18 - 21 + 46`

Step 2: Left to right:
`18 + 18 = 36`
`36 - 21 = 15`
`15 + 46 = 61`

✔ Answer: 61

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3) `(5 × 9) × 5 × 1 × 1`

Step 1: Brackets → `5 × 9 = 45`
→ `45 × 5 × 1 × 1`

Step 2: Multiply left to right:
`45 × 5 = 225`
`225 × 1 = 225`
`225 × 1 = 225`

✔ Answer: 225

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4) `8 + 22 × (4 + 20) - 14`

Step 1: Brackets → `(4 + 20) = 24`
→ `8 + 22 × 24 - 14`

Step 2: Multiplication → `22 × 24 = 528`
→ `8 + 528 - 14`

Step 3: Left to right:
`8 + 528 = 536`
`536 - 14 = 522`

✔ Answer: 522

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5) `9 × (5 × 7 × 4 + 7)`

Step 1: Inside brackets:
First, multiplication: `5 × 7 = 35`, then `35 × 4 = 140`
Then add 7: `140 + 7 = 147`
→ `9 × 147`

Step 2: Multiply → `9 × 147 = 1323`

✔ Answer: 1323

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6) `(5 × 2) × 3 - 1 × 2`

Step 1: Brackets → `5 × 2 = 10`
→ `10 × 3 - 1 × 2`

Step 2: Multiplications:
`10 × 3 = 30`
`1 × 2 = 2`
→ `30 - 2`

Step 3: Subtraction → `30 - 2 = 28`

✔ Answer: 28

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7) `4 + 7 + (37 + 9 - 40)`

Step 1: Brackets → `37 + 9 = 46`, then `46 - 40 = 6`
→ `4 + 7 + 6`

Step 2: Add left to right:
`4 + 7 = 11`, `11 + 6 = 17`

✔ Answer: 17

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8) `(31 - 9 + 39 + 11) + 3`

Step 1: Inside brackets:
Left to right:
`31 - 9 = 22`
`22 + 39 = 61`
`61 + 11 = 72`
→ `72 + 3`

Step 2: Add → `72 + 3 = 75`

✔ Answer: 75

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9) `10 × 3 × 8 + (33 - 9)`

Step 1: Brackets → `33 - 9 = 24`
→ `10 × 3 × 8 + 24`

Step 2: Multiplication left to right:
`10 × 3 = 30`
`30 × 8 = 240`
→ `240 + 24`

Step 3: Add → `240 + 24 = 264`

✔ Answer: 264

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10) `9 × (3 × 7) × 10 + 10`

Step 1: Brackets → `3 × 7 = 21`
→ `9 × 21 × 10 + 10`

Step 2: Multiplication left to right:
`9 × 21 = 189`
`189 × 10 = 1890`
→ `1890 + 10`

Step 3: Add → `1890 + 10 = 1900`

✔ Answer: 1900

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11) `10 × 6 + (35 + 24) + 10`

Step 1: Brackets → `35 + 24 = 59`
→ `10 × 6 + 59 + 10`

Step 2: Multiplication → `10 × 6 = 60`
→ `60 + 59 + 10`

Step 3: Add left to right:
`60 + 59 = 119`, `119 + 10 = 129`

✔ Answer: 129

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12) `20 + (1 + 7) + 16 - 37`

Step 1: Brackets → `1 + 7 = 8`
→ `20 + 8 + 16 - 37`

Step 2: Left to right:
`20 + 8 = 28`
`28 + 16 = 44`
`44 - 37 = 7`

✔ Answer: 7

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13) `19 + 39 + (14 × 4) + 17`

Step 1: Brackets → `14 × 4 = 56`
→ `19 + 39 + 56 + 17`

Step 2: Add left to right:
`19 + 39 = 58`
`58 + 56 = 114`
`114 + 17 = 131`

✔ Answer: 131

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14) `6 + 40 × (4 × 7) - 20`

Step 1: Inner brackets → `4 × 7 = 28`
→ `6 + 40 × 28 - 20`

Step 2: Multiplication → `40 × 28 = 1120`
→ `6 + 1120 - 20`

Step 3: Left to right:
`6 + 1120 = 1126`
`1126 - 20 = 1106`

✔ Answer: 1106

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15) `(28 - 8 + 26) - 39 × 1`

Step 1: Brackets → `28 - 8 = 20`, then `20 + 26 = 46`
→ `46 - 39 × 1`

Step 2: Multiplication → `39 × 1 = 39`
→ `46 - 39`

Step 3: Subtraction → `46 - 39 = 7`

✔ Answer: 7

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16) `1 × 9 + 27 + 14 × 10`

Step 1: Multiplications first:
`1 × 9 = 9`
`14 × 10 = 140`
→ `9 + 27 + 140`

Step 2: Add left to right:
`9 + 27 = 36`
`36 + 140 = 176`

✔ Answer: 176

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## ✔ Final Answers:

1) 48
2) 61
3) 225
4) 522
5) 1323
6) 28
7) 17
8) 75
9) 264
10) 1900
11) 129
12) 7
13) 131
14) 1106
15) 7
16) 176

Let me know if you’d like a printable version or explanations with diagrams! 😊