Let's solve each problem step by step, following the
order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
---
1. $ 5^2 + 36 ÷ 6 $
- $ 5^2 = 25 $
- $ 36 ÷ 6 = 6 $
- $ 25 + 6 = 31 $
✔ Answer: 31
---
2. $ 6^2 + 24 ÷ 2 $
- $ 6^2 = 36 $
- $ 24 ÷ 2 = 12 $
- $ 36 + 12 = 48 $
✔ Answer: 48
---
3. $ 7^2 - 32 ÷ 4 $
- $ 7^2 = 49 $
- $ 32 ÷ 4 = 8 $
- $ 49 - 8 = 41 $
✔ Answer: 41
---
4. $ 8^2 - 35 ÷ 5 $
- $ 8^2 = 64 $
- $ 35 ÷ 5 = 7 $
- $ 64 - 7 = 57 $
✔ Answer: 57
---
5. $ 4^2 + 5 × 5 $
- $ 4^2 = 16 $
- $ 5 × 5 = 25 $
- $ 16 + 25 = 41 $
✔ Answer: 41
---
6. $ 3^2 + 4 × 12 $
- $ 3^2 = 9 $
- $ 4 × 12 = 48 $
- $ 9 + 48 = 57 $
✔ Answer: 57
---
7. $ 9^2 - 42 ÷ 6 $
- $ 9^2 = 81 $
- $ 42 ÷ 6 = 7 $
- $ 81 - 7 = 74 $
✔ Answer: 74
---
8. $ 6^2 - 72 ÷ 6 $
- $ 6^2 = 36 $
- $ 72 ÷ 6 = 12 $
- $ 36 - 12 = 24 $
✔ Answer: 24
---
9. $ 10^2 + 48 ÷ 8 $
- $ 10^2 = 100 $
- $ 48 ÷ 8 = 6 $
- $ 100 + 6 = 106 $
✔ Answer: 106
---
10. $ 11^2 + 60 ÷ 5 $
- $ 11^2 = 121 $
- $ 60 ÷ 5 = 12 $
- $ 121 + 12 = 133 $
✔ Answer: 133
---
✔ Final Answers:
1.
31
2.
48
3.
41
4.
57
5.
41
6.
57
7.
74
8.
24
9.
106
10.
133
---
💡
Tip: Always remember
BODMAS/PEMDAS:
-
Brackets
-
Orders (i.e., powers and square roots)
-
Division and
Multiplication (left to right)
-
Addition and
Subtraction (left to right)
You can use the squared paper to write down intermediate steps like:
- $ 5^2 = 25 $
- $ 36 ÷ 6 = 6 $
- Then $ 25 + 6 = 31 $
This helps avoid mistakes! 😊
Parent Tip: Review the logic above to help your child master the concept of square number worksheet.