Grade 5 Order of Operations Worksheet 2 featuring 10 equations to solve, including exponents and parentheses.

To solve the problems, we need to follow the Order of Operations, often remembered by the acronym PEMDAS:

1. Parentheses (or Brackets)
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's solve each problem step by step.

---

Problem 1: \( 9 \times 8 + 7 \times 6 + 3^2 \)

1. Exponents: \( 3^2 = 9 \)
\[
9 \times 8 + 7 \times 6 + 9
\]

2. Multiplication:
\[
9 \times 8 = 72, \quad 7 \times 6 = 42
\]
So the expression becomes:
\[
72 + 42 + 9
\]

3. Addition:
\[
72 + 42 = 114, \quad 114 + 9 = 123
\]

Answer: \( \boxed{123} \)

---

Problem 2: \( 5 \times 2(6 + 6) + 4 \times 8 \)

1. Parentheses: \( 6 + 6 = 12 \)
\[
5 \times 2 \times 12 + 4 \times 8
\]

2. Multiplication:
\[
5 \times 2 = 10, \quad 10 \times 12 = 120, \quad 4 \times 8 = 32
\]
So the expression becomes:
\[
120 + 32
\]

3. Addition:
\[
120 + 32 = 152
\]

Answer: \( \boxed{152} \)

---

Problem 3: \( 9^2 \times 2 + 2 \times 9 \)

1. Exponents: \( 9^2 = 81 \)
\[
81 \times 2 + 2 \times 9
\]

2. Multiplication:
\[
81 \times 2 = 162, \quad 2 \times 9 = 18
\]
So the expression becomes:
\[
162 + 18
\]

3. Addition:
\[
162 + 18 = 180
\]

Answer: \( \boxed{180} \)

---

Problem 4: \( 8 \times 8 + 7 \times 7 + 4^2 \)

1. Exponents: \( 4^2 = 16 \)
\[
8 \times 8 + 7 \times 7 + 16
\]

2. Multiplication:
\[
8 \times 8 = 64, \quad 7 \times 7 = 49
\]
So the expression becomes:
\[
64 + 49 + 16
\]

3. Addition:
\[
64 + 49 = 113, \quad 113 + 16 = 129
\]

Answer: \( \boxed{129} \)

---

Problem 5: \( 81 \div 9 \times 7 \div 7 \)

1. Division and Multiplication (from left to right):
\[
81 \div 9 = 9, \quad 9 \times 7 = 63, \quad 63 \div 7 = 9
\]

Answer: \( \boxed{9} \)

---

Problem 6: \( 5^2 \times 5 \times 2 \)

1. Exponents: \( 5^2 = 25 \)
\[
25 \times 5 \times 2
\]

2. Multiplication (from left to right):
\[
25 \times 5 = 125, \quad 125 \times 2 = 250
\]

Answer: \( \boxed{250} \)

---

Problem 7: \( 54 \div 9 + 8 \times 5 \)

1. Division and Multiplication:
\[
54 \div 9 = 6, \quad 8 \times 5 = 40
\]
So the expression becomes:
\[
6 + 40
\]

2. Addition:
\[
6 + 40 = 46
\]

Answer: \( \boxed{46} \)

---

Problem 8: \( 5(5 \times 4) + 3(4 \times 2) \)

1. Parentheses:
\[
5 \times 4 = 20, \quad 4 \times 2 = 8
\]
So the expression becomes:
\[
5 \times 20 + 3 \times 8
\]

2. Multiplication:
\[
5 \times 20 = 100, \quad 3 \times 8 = 24
\]
So the expression becomes:
\[
100 + 24
\]

3. Addition:
\[
100 + 24 = 124
\]

Answer: \( \boxed{124} \)

---

Problem 9: \( 18(5 - 3) \times 2 + 7^2 \)

1. Parentheses: \( 5 - 3 = 2 \)
\[
18 \times 2 \times 2 + 7^2
\]

2. Exponents: \( 7^2 = 49 \)
\[
18 \times 2 \times 2 + 49
\]

3. Multiplication (from left to right):
\[
18 \times 2 = 36, \quad 36 \times 2 = 72
\]
So the expression becomes:
\[
72 + 49
\]

4. Addition:
\[
72 + 49 = 121
\]

Answer: \( \boxed{121} \)

---

Problem 10: \( 5 \times 5 + 6 \times 6 \)

1. Multiplication:
\[
5 \times 5 = 25, \quad 6 \times 6 = 36
\]
So the expression becomes:
\[
25 + 36
\]

2. Addition:
\[
25 + 36 = 61
\]

Answer: \( \boxed{61} \)

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Final Answers:

\[
\boxed{123, 152, 180, 129, 9, 250, 46, 124, 121, 61}
\]