This order of operations worksheet helps students master PEMDAS through progressive practice problems.

Sure! Let’s solve each expression step by step, following the order of operations (PEMDAS/BODMAS):

> Parentheses / Brackets
> Exponents / Orders
> Multiplication and Division (left to right)
> Addition and Subtraction (left to right)

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1. 8 + 4 − 3

No parentheses or exponents. Just left-to-right addition and subtraction.

→ 8 + 4 = 12
→ 12 − 3 = 9

✔ Answer: 9

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2. 38 − 19 + 12

Left to right:

→ 38 − 19 = 19
→ 19 + 12 = 31

✔ Answer: 31

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3. 7 + 9 × (3 + 8)

First, parentheses:
→ (3 + 8) = 11

Now: 7 + 9 × 11

Multiplication before addition:
→ 9 × 11 = 99

Then: 7 + 99 = 106

✔ Answer: 106

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4. 15 − 2³ ÷ 4

Exponent first:
→ 2³ = 8

Now: 15 − 8 ÷ 4

Division next:
→ 8 ÷ 4 = 2

Then: 15 − 2 = 13

✔ Answer: 13

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5. 55 ÷ 11 + 7 × (2 + 14)

Parentheses first:
→ (2 + 14) = 16

Now: 55 ÷ 11 + 7 × 16

Division and multiplication from left to right:

→ 55 ÷ 11 = 5
→ 7 × 16 = 112

Now: 5 + 112 = 117

✔ Answer: 117

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6. 5³ − 12 ÷ 3

Exponent first:
→ 5³ = 125

Division next:
→ 12 ÷ 3 = 4

Then: 125 − 4 = 121

✔ Answer: 121

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7. 8 × (2⁴ − 3) + 8

Exponent inside parentheses:
→ 2⁴ = 16

Now: 8 × (16 − 3) + 8

Parentheses:
→ 16 − 3 = 13

Now: 8 × 13 + 8

Multiplication:
→ 8 × 13 = 104

Then: 104 + 8 = 112

✔ Answer: 112

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8. 9 + 4³ × (20 − 8) ÷ 2 + 6

Parentheses:
→ (20 − 8) = 12

Exponent:
→ 4³ = 64

Now: 9 + 64 × 12 ÷ 2 + 6

Multiplication and division left to right:

→ 64 × 12 = 768
→ 768 ÷ 2 = 384

Now: 9 + 384 + 6

Add left to right:
→ 9 + 384 = 393
→ 393 + 6 = 399

✔ Answer: 399

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## ✔ Final Answers:

1. 9
2. 31
3. 106
4. 13
5. 117
6. 121
7. 112
8. 399

Let me know if you’d like a printable version or step-by-step work shown for each!