Order of Operations Math Worksheets - Free Printable

Absolutely! Let's solve each problem step-by-step using the BODMAS rule.

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

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1) (8 × 5 + 18) – 4 + 17 =

Step 1: Solve inside brackets:
→ 8 × 5 = 40
→ 40 + 18 = 58

Now expression is:
58 – 4 + 17

Step 2: Left to right:
→ 58 – 4 = 54
→ 54 + 17 = 71

✔ Answer: 71

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2) (4 × 8 × 7 × 6) – 11 =

Step 1: Solve inside brackets (multiplication left to right):
→ 4 × 8 = 32
→ 32 × 7 = 224
→ 224 × 6 = 1344

Now:
1344 – 11 = 1333

✔ Answer: 1333

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3) 38 + (16 × 4 ÷ 2) × 10 =

Step 1: Inside brackets:
→ 16 × 4 = 64
→ 64 ÷ 2 = 32

Now:
38 + 32 × 10

Step 2: Multiplication before addition:
→ 32 × 10 = 320

→ 38 + 320 = 358

✔ Answer: 358

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4) 18 ÷ 9 × (10 × 7) – 1 =

Step 1: Brackets first:
→ 10 × 7 = 70

Now:
18 ÷ 9 × 70 – 1

Step 2: Division and multiplication left to right:
→ 18 ÷ 9 = 2
→ 2 × 70 = 140

→ 140 – 1 = 139

✔ Answer: 139

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5) (24 + 19 + 24) ÷ 67 × 5 =

Step 1: Brackets:
→ 24 + 19 = 43 → 43 + 24 = 67

Now:
67 ÷ 67 × 5

Step 2: Left to right:
→ 67 ÷ 67 = 1
→ 1 × 5 = 5

✔ Answer: 5

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6) 38 + (40 + 24) × 7 – 9 =

Step 1: Brackets:
→ 40 + 24 = 64

Now:
38 + 64 × 7 – 9

Step 2: Multiplication:
→ 64 × 7 = 448

Now:
38 + 448 – 9

Step 3: Left to right:
→ 38 + 448 = 486
→ 486 – 9 = 477

✔ Answer: 477

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7) 9 × (3 × 4) ÷ 6 × 8 =

Step 1: Brackets:
→ 3 × 4 = 12

Now:
9 × 12 ÷ 6 × 8

Step 2: Left to right (× and ÷ same precedence):
→ 9 × 12 = 108
→ 108 ÷ 6 = 18
→ 18 × 8 = 144

✔ Answer: 144

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8) 7 × (9 ÷ 3 + 37) + 22 =

Step 1: Inside brackets:
→ 9 ÷ 3 = 3
→ 3 + 37 = 40

Now:
7 × 40 + 22

Step 2: Multiplication:
→ 7 × 40 = 280

→ 280 + 22 = 302

✔ Answer: 302

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9) (9 + 36 – 13 + 8) × 6 =

Step 1: Brackets — left to right:
→ 9 + 36 = 45
→ 45 – 13 = 32
→ 32 + 8 = 40

Now:
40 × 6 = 240

✔ Answer: 240

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10) 10 × 10 + (10 ÷ 2 × 6) =

Step 1: Brackets:
→ 10 ÷ 2 = 5
→ 5 × 6 = 30

Now:
10 × 10 + 30

Step 2: Multiplication:
→ 10 × 10 = 100

→ 100 + 30 = 130

✔ Answer: 130

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11) 14 + 1 × 9 + (21 + 26) =

Step 1: Brackets:
→ 21 + 26 = 47

Now:
14 + 1 × 9 + 47

Step 2: Multiplication:
→ 1 × 9 = 9

Now:
14 + 9 + 47

Step 3: Left to right:
→ 14 + 9 = 23
→ 23 + 47 = 70

✔ Answer: 70

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12) 39 + 18 + (3 × 5 – 6) =

Step 1: Brackets:
→ 3 × 5 = 15
→ 15 – 6 = 9

Now:
39 + 18 + 9

Step 2: Left to right:
→ 39 + 18 = 57
→ 57 + 9 = 66

✔ Answer: 66

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## ✔ Final Answers:

1) 71
2) 1333
3) 358
4) 139
5) 5
6) 477
7) 144
8) 302
9) 240
10) 130
11) 70
12) 66

Let me know if you’d like a printable version or more practice! 😊