Free Printable PEMDAS Worksheets for Kids [PDFs] Brighterly - Free Printable

Absolutely! Let’s solve each of these Grade 5 PEMDAS (Order of Operations) problems step by step.

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PEMDAS Rule:
Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)

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Problem 1:

(5² – 4) ÷ 11

- Step 1: Exponent → 5² = 25
- Step 2: Parentheses → 25 – 4 = 21
- Step 3: Division → 21 ÷ 11 = 1.909... → But since this is grade 5, and the result is not a whole number, let’s double-check:

Wait — 21 ÷ 11 = 21/11 or 1 10/11 — but maybe we made a mistake? Let's recompute:

Actually, 5² = 25 → 25 - 4 = 21 → 21 ÷ 11 = 1.909... — perhaps it's meant to be exact fraction?

But looking at other problems, most are integers. Let me check if I misread.

Wait — maybe it’s (5² – 4) ÷ 11 → 25 - 4 = 21 → 21 ÷ 11 = 21/11

✔ Final Answer: 21/11 or 1 10/11

But let’s hold on — maybe the worksheet expects decimal? Or perhaps I misread? Actually, let’s proceed and see.

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Actually, let me solve all with care.

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Problem 1: (5² – 4) ÷ 11

→ 25 – 4 = 21
→ 21 ÷ 11 = 21/11
✔ Answer: 21/11

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Problem 2: (67 – 18) ÷ 7 × 3

- Parentheses: 67 – 18 = 49
- Division: 49 ÷ 7 = 7
- Multiplication: 7 × 3 = 21

✔ Answer: 21

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Problem 3: 10² – 3² × 6 – 3 × 2

- Exponents: 10² = 100, 3² = 9
- Now: 100 – 9 × 6 – 3 × 2
- Multiplication left to right: 9×6=54, 3×2=6
- Now: 100 – 54 – 6 = 46 – 6 = 40

✔ Answer: 40

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Problem 4: (10² – 3²) × 6 – 3 × 2

- Parentheses first: 10² = 100, 3² = 9 → 100 – 9 = 91
- Then: 91 × 6 = 546
- Then: 3 × 2 = 6
- Finally: 546 – 6 = 540

✔ Answer: 540

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Problem 5: 10² – 3² × (6 – 3) × 2

- Exponents: 10²=100, 3²=9
- Parentheses: 6 – 3 = 3
- Now: 100 – 9 × 3 × 2
- Multiplication left to right: 9 × 3 = 27, then 27 × 2 = 54
- Then: 100 – 54 = 46

✔ Answer: 46

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Problem 6: 10 × (5 + 3 + 7) – (6 + 2)²

- Parentheses: 5+3+7 = 15; 6+2 = 8
- Exponent: 8² = 64
- Multiplication: 10 × 15 = 150
- Then: 150 – 64 = 86

✔ Answer: 86

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Problem 7: 5² – (13 + 5 – 12)² ÷ 3

- Exponents: 5² = 25
- Parentheses: 13 + 5 – 12 = 6
- Exponent: 6² = 36
- Division: 36 ÷ 3 = 12
- Then: 25 – 12 = 13

✔ Answer: 13

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Problem 8: 12 + 6² – (15 – 6)² ÷ 2

- Exponents: 6² = 36; (15–6)=9 → 9²=81
- Division: 81 ÷ 2 = 40.5
- Now: 12 + 36 – 40.5 = 48 – 40.5 = 7.5

✔ Answer: 7.5

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Problem 9: (12 – 8)² + (7 × 8 – 4) ÷ (6 – 2)

- Parentheses:
- (12–8) = 4 → 4² = 16
- (7×8–4) = 56 – 4 = 52
- (6–2) = 4
- Division: 52 ÷ 4 = 13
- Addition: 16 + 13 = 29

✔ Answer: 29

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Problem 10: 11² – (7 + 5 – 9)² + 12 – (33 + 2)

- Exponents: 11² = 121
- Parentheses:
- (7+5–9) = 3 → 3² = 9
- (33+2) = 35
- Now: 121 – 9 + 12 – 35
- Left to right:
121 – 9 = 112
112 + 12 = 124
124 – 35 = 89

✔ Answer: 89

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## ✔ Final Answers:

1. 21/11 or 1 10/11
2. 21
3. 40
4. 540
5. 46
6. 86
7. 13
8. 7.5
9. 29
10. 89

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💡 Note for Problem 1: If the worksheet expects a simplified fraction or mixed number, write 1 10/11. If decimal is acceptable, ≈1.91 — but since others are exact, fraction is best.

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