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.