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Math worksheet for practicing order of operations with a fun quest theme.

A math worksheet titled "Arcturus' Order of Operations Quest" featuring 20 order of operations problems for students to solve, with a blue cartoon character at the bottom right and the Prodigy logo in the bottom left.

A math worksheet titled "Arcturus' Order of Operations Quest" featuring 20 order of operations problems for students to solve, with a blue cartoon character at the bottom right and the Prodigy logo in the bottom left.

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Show Answer Key & Explanations Step-by-step solution for: Order of Operations Worksheet: 19 Resources For Your Class
Absolutely! Let’s solve Arctursus’ Order of Operations Quest step by step.

We’ll use the PEMDAS rule:
> Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)

---

Problem 1: `5 × 4 + 13`


- Multiply first: `5 × 4 = 20`
- Then add: `20 + 13 = 33`
Answer: 33

---

Problem 2: `110 - 100 ÷ 5`


- Divide first: `100 ÷ 5 = 20`
- Then subtract: `110 - 20 = 90`
Answer: 90

---

Problem 3: `11 + 18 ÷ 6`


- Divide: `18 ÷ 6 = 3`
- Add: `11 + 3 = 14`
Answer: 14

---

Problem 4: `8 × 8 - 14`


- Multiply: `8 × 8 = 64`
- Subtract: `64 - 14 = 50`
Answer: 50

---

Problem 5: `3 × 4 - 8`


- Multiply: `3 × 4 = 12`
- Subtract: `12 - 8 = 4`
Answer: 4

---

Problem 6: `3 + 7 × 5`


- Multiply: `7 × 5 = 35`
- Add: `3 + 35 = 38`
Answer: 38

---

Problem 7: `30 - 21 ÷ 3`


- Divide: `21 ÷ 3 = 7`
- Subtract: `30 - 7 = 23`
Answer: 23

---

Problem 8: `60 ÷ 12 + 9`


- Divide: `60 ÷ 12 = 5`
- Add: `5 + 9 = 14`
Answer: 14

---

Problem 9: `9 × 9 - 22`


- Multiply: `9 × 9 = 81`
- Subtract: `81 - 22 = 59`
Answer: 59

---

Problem 10: `72 - 63 ÷ 9`


- Divide: `63 ÷ 9 = 7`
- Subtract: `72 - 7 = 65`
Answer: 65

---

Problem 11: `35 + 25 ÷ 5`


- Divide: `25 ÷ 5 = 5`
- Add: `35 + 5 = 40`
Answer: 40

---

Problem 12: `9 × 4 - 16`


- Multiply: `9 × 4 = 36`
- Subtract: `36 - 16 = 20`
Answer: 20

---

Problem 13: `24 ÷ 3 - 5`


- Divide: `24 ÷ 3 = 8`
- Subtract: `8 - 5 = 3`
Answer: 3

---

Problem 14: `80 - 8 × 9`


- Multiply: `8 × 9 = 72`
- Subtract: `80 - 72 = 8`
Answer: 8

---

Problem 15: `80 - 7 × 6`


- Multiply: `7 × 6 = 42`
- Subtract: `80 - 42 = 38`
Answer: 38

---

Problem 16: `66 ÷ 6 - 6`


- Divide: `66 ÷ 6 = 11`
- Subtract: `11 - 6 = 5`
Answer: 5

---

Problem 17: `6 ÷ 3 + 14`


- Divide: `6 ÷ 3 = 2`
- Add: `2 + 14 = 16`
Answer: 16

---

Problem 18: `12 + 132 ÷ 12`


- Divide: `132 ÷ 12 = 11`
- Add: `12 + 11 = 23`
Answer: 23

---

Problem 19: `6 + 54 ÷ 9`


- Divide: `54 ÷ 9 = 6`
- Add: `6 + 6 = 12`
Answer: 12

---

Problem 20: `7 + 9 × 7`


- Multiply: `9 × 7 = 63`
- Add: `7 + 63 = 70`
Answer: 70

---

## 🎉 Final Answer Key:

1. 33
2. 90
3. 14
4. 50
5. 4
6. 38
7. 23
8. 14
9. 59
10. 65
11. 40
12. 20
13. 3
14. 8
15. 38
16. 5
17. 16
18. 23
19. 12
20. 70

---

💡 Tip: Always remember PEMDAS — Multiplication and Division are done left-to-right, same with Addition and Subtraction. Don’t do addition before multiplication just because it comes first in the expression!

Let me know if you want a printable version or more practice! 🐻❄️
Parent Tip: Review the logic above to help your child master the concept of order of operations worksheet grade 6.
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