Here are the step-by-step solutions for each problem. Remember to follow the order of operations: first calculate the square (the number with the little 2), then do any multiplication or division, and finally do addition or subtraction.
1. $5^2 + 36 \div 6$
* First, find the square: $5^2 = 5 \times 5 = 25$.
* Next, do the division: $36 \div 6 = 6$.
* Finally, add them together: $25 + 6 = 31$.
2. $6^2 + 24 \div 2$
* First, find the square: $6^2 = 6 \times 6 = 36$.
* Next, do the division: $24 \div 2 = 12$.
* Finally, add them together: $36 + 12 = 48$.
3. $7^2 - 32 \div 4$
* First, find the square: $7^2 = 7 \times 7 = 49$.
* Next, do the division: $32 \div 4 = 8$.
* Finally, subtract: $49 - 8 = 41$.
4. $8^2 - 35 \div 5$
* First, find the square: $8^2 = 8 \times 8 = 64$.
* Next, do the division: $35 \div 5 = 7$.
* Finally, subtract: $64 - 7 = 57$.
5. $4^2 + 5 \times 5$
* First, find the square: $4^2 = 4 \times 4 = 16$.
* Next, do the multiplication: $5 \times 5 = 25$.
* Finally, add them together: $16 + 25 = 41$.
6. $3^2 + 4 \times 12$
* First, find the square: $3^2 = 3 \times 3 = 9$.
* Next, do the multiplication: $4 \times 12 = 48$.
* Finally, add them together: $9 + 48 = 57$.
7. $9^2 - 42 \div 6$
* First, find the square: $9^2 = 9 \times 9 = 81$.
* Next, do the division: $42 \div 6 = 7$.
* Finally, subtract: $81 - 7 = 74$.
8. $6^2 - 72 \div 6$
* First, find the square: $6^2 = 6 \times 6 = 36$.
* Next, do the division: $72 \div 6 = 12$.
* Finally, subtract: $36 - 12 = 24$.
9. $10^2 + 48 \div 8$
* First, find the square: $10^2 = 10 \times 10 = 100$.
* Next, do the division: $48 \div 8 = 6$.
* Finally, add them together: $100 + 6 = 106$.
10. $11^2 + 60 \div 5$
* First, find the square: $11^2 = 11 \times 11 = 121$.
* Next, do the division: $60 \div 5 = 12$.
* Finally, add them together: $121 + 12 = 133$.
Final Answer:
1. 31
2. 48
3. 41
4. 57
5. 41
6. 57
7. 74
8. 24
9. 106
10. 133
Parent Tip: Review the logic above to help your child master the concept of squaring numbers worksheet.