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Math worksheet for practicing order of operations with a fun, monster-themed design.

A math worksheet titled "Arcturus' Order of Operations Quest" featuring 20 order of operations problems for students to solve, with a blue monster 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 monster 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
Let's solve each of these order of operations problems step by step using the PEMDAS rule:

> Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

We'll go through each problem one by one.

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1. $ 5 \times 4 + 13 $


- Multiply first: $ 5 \times 4 = 20 $
- Then add: $ 20 + 13 = 33 $
Answer: 33

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2. $ 110 - 100 \div 5 $


- Divide first: $ 100 \div 5 = 20 $
- Then subtract: $ 110 - 20 = 90 $
Answer: 90

---

3. $ 11 + 18 \div 6 $


- Divide first: $ 18 \div 6 = 3 $
- Then add: $ 11 + 3 = 14 $
Answer: 14

---

4. $ 8 \times 8 - 14 $


- Multiply first: $ 8 \times 8 = 64 $
- Then subtract: $ 64 - 14 = 50 $
Answer: 50

---

5. $ 3 \times 4 - 8 $


- Multiply: $ 3 \times 4 = 12 $
- Subtract: $ 12 - 8 = 4 $
Answer: 4

---

6. $ 3 + 7 \times 5 $


- Multiply first: $ 7 \times 5 = 35 $
- Then add: $ 3 + 35 = 38 $
Answer: 38

---

7. $ 30 - 21 \div 3 $


- Divide: $ 21 \div 3 = 7 $
- Subtract: $ 30 - 7 = 23 $
Answer: 23

---

8. $ 60 \div 12 + 9 $


- Divide: $ 60 \div 12 = 5 $
- Add: $ 5 + 9 = 14 $
Answer: 14

---

9. $ 9 \times 9 - 22 $


- Multiply: $ 9 \times 9 = 81 $
- Subtract: $ 81 - 22 = 59 $
Answer: 59

---

10. $ 72 - 63 \div 9 $


- Divide: $ 63 \div 9 = 7 $
- Subtract: $ 72 - 7 = 65 $
Answer: 65

---

11. $ 35 + 25 \div 5 $


- Divide: $ 25 \div 5 = 5 $
- Add: $ 35 + 5 = 40 $
Answer: 40

---

12. $ 9 \times 4 - 16 $


- Multiply: $ 9 \times 4 = 36 $
- Subtract: $ 36 - 16 = 20 $
Answer: 20

---

13. $ 24 \div 3 - 5 $


- Divide: $ 24 \div 3 = 8 $
- Subtract: $ 8 - 5 = 3 $
Answer: 3

---

14. $ 80 - 8 \times 9 $


- Multiply: $ 8 \times 9 = 72 $
- Subtract: $ 80 - 72 = 8 $
Answer: 8

---

15. $ 80 - 7 \times 6 $


- Multiply: $ 7 \times 6 = 42 $
- Subtract: $ 80 - 42 = 38 $
Answer: 38

---

16. $ 66 \div 6 - 6 $


- Divide: $ 66 \div 6 = 11 $
- Subtract: $ 11 - 6 = 5 $
Answer: 5

---

17. $ 6 \div 3 + 14 $


- Divide: $ 6 \div 3 = 2 $
- Add: $ 2 + 14 = 16 $
Answer: 16

---

18. $ 12 + 132 \div 12 $


- Divide: $ 132 \div 12 = 11 $
- Add: $ 12 + 11 = 23 $
Answer: 23

---

19. $ 6 + 54 \div 9 $


- Divide: $ 54 \div 9 = 6 $
- Add: $ 6 + 6 = 12 $
Answer: 12

---

20. $ 7 + 9 \times 7 $


- Multiply: $ 9 \times 7 = 63 $
- Add: $ 7 + 63 = 70 $
Answer: 70

---

Final Answers:


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

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💡 Tip: Always remember PEMDAS — do multiplication and division before addition and subtraction, and work left to right when operations are at the same level.

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