Order of Operations Worksheets - Math Monks - Free Printable

Let’s solve each problem one by one using PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

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Problem 1: 10² ÷ 5 - 3 × 5

Step 1: Exponent → 10² = 100
→ 100 ÷ 5 - 3 × 5

Step 2: Division and Multiplication (left to right)
100 ÷ 5 = 20
3 × 5 = 15
→ 20 - 15

Step 3: Subtraction
20 - 15 = 5

✔ Final Answer for #1: 5

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Problem 2: 5³ ÷ (2 × 8 - 11)

Step 1: Parentheses first → 2 × 8 = 16; 16 - 11 = 5
→ 5³ ÷ 5

Step 2: Exponent → 5³ = 125
→ 125 ÷ 5

Step 3: Division → 125 ÷ 5 = 25

✔ Final Answer for #2: 25

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Problem 3: (11 + 7) ÷ 9 × 4³

Step 1: Parentheses → 11 + 7 = 18
→ 18 ÷ 9 × 4³

Step 2: Exponent → 4³ = 64
→ 18 ÷ 9 × 64

Step 3: Division and Multiplication (left to right)
18 ÷ 9 = 2
2 × 64 = 128

✔ Final Answer for #3: 128

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Problem 4: 8² ÷ (3 + 11 - 12)

Step 1: Parentheses → 3 + 11 = 14; 14 - 12 = 2
→ 8² ÷ 2

Step 2: Exponent → 8² = 64
→ 64 ÷ 2

Step 3: Division → 64 ÷ 2 = 32

✔ Final Answer for #4: 32

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Problem 5: (11² - 8 + 12) × 3

Step 1: Inside parentheses — start with exponent → 11² = 121
→ (121 - 8 + 12) × 3

Step 2: Left to right inside parentheses:
121 - 8 = 113
113 + 12 = 125
→ 125 × 3

Step 3: Multiply → 125 × 3 = 375

✔ Final Answer for #5: 375

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Problem 6: 5 × (4 + 17 + 10) - 11²

Step 1: Parentheses → 4 + 17 = 21; 21 + 10 = 31
→ 5 × 31 - 11²

Step 2: Exponent → 11² = 121
→ 5 × 31 - 121

Step 3: Multiplication → 5 × 31 = 155
→ 155 - 121

Step 4: Subtraction → 155 - 121 = 34

✔ Final Answer for #6: 34

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Problem 7: 6 - 7 × 3² + 2

Step 1: Exponent → 3² = 9
→ 6 - 7 × 9 + 2

Step 2: Multiplication → 7 × 9 = 63
→ 6 - 63 + 2

Step 3: Left to right addition/subtraction:
6 - 63 = -57
-57 + 2 = -55

✔ Final Answer for #7: -55

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Problem 8: (-3) × 9 - 3² + 4

Step 1: Exponent → 3² = 9
→ (-3) × 9 - 9 + 4

Step 2: Multiplication → (-3) × 9 = -27
→ -27 - 9 + 4

Step 3: Left to right:
-27 - 9 = -36
-36 + 4 = -32

✔ Final Answer for #8: -32

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Problem 9: 2 × 5² - 10 ÷ 5

Step 1: Exponent → 5² = 25
→ 2 × 25 - 10 ÷ 5

Step 2: Multiplication and Division (left to right):
2 × 25 = 50
10 ÷ 5 = 2
→ 50 - 2

Step 3: Subtraction → 50 - 2 = 48

✔ Final Answer for #9: 48

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Problem 10: 4 × 6 + 2² - 10

Step 1: Exponent → 2² = 4
→ 4 × 6 + 4 - 10

Step 2: Multiplication → 4 × 6 = 24
→ 24 + 4 - 10

Step 3: Left to right:
24 + 4 = 28
28 - 10 = 18

✔ Final Answer for #10: 18

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Final Answer:
1. 5
2. 25
3. 128
4. 32
5. 375
6. 34
7. -55
8. -32
9. 48
10. 18