Math worksheet for practicing order of operations using the BODMAS rule.

To solve the given problems using the BODMAS rule (Brackets, Orders (i.e., Powers and Square Roots, etc.), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right)), we will follow the order of operations step by step. Let's solve each problem:

---

1. \( (10 \times 7 + 40) + 38 \times 10 \)

1. Solve inside the brackets first:
\[
10 \times 7 = 70
\]
\[
70 + 40 = 110
\]
So, the expression becomes:
\[
110 + 38 \times 10
\]

2. Perform multiplication next:
\[
38 \times 10 = 380
\]
So, the expression becomes:
\[
110 + 380
\]

3. Perform addition:
\[
110 + 380 = 490
\]

Answer:
\[
\boxed{490}
\]

---

2. \( 31 - 1 \times 5 - 8 + 33 \)

1. Perform multiplication first:
\[
1 \times 5 = 5
\]
So, the expression becomes:
\[
31 - 5 - 8 + 33
\]

2. Perform subtraction and addition from left to right:
\[
31 - 5 = 26
\]
\[
26 - 8 = 18
\]
\[
18 + 33 = 51
\]

Answer:
\[
\boxed{51}
\]

---

3. \( 2 \times 2 + 36 + 15 - 17 \)

1. Perform multiplication first:
\[
2 \times 2 = 4
\]
So, the expression becomes:
\[
4 + 36 + 15 - 17
\]

2. Perform addition and subtraction from left to right:
\[
4 + 36 = 40
\]
\[
40 + 15 = 55
\]
\[
55 - 17 = 38
\]

Answer:
\[
\boxed{38}
\]

---

4. \( (4 \times 9 \div 2 \times 10) + 40 \)

1. Solve inside the brackets first, following the order of operations (multiplication and division from left to right):
\[
4 \times 9 = 36
\]
\[
36 \div 2 = 18
\]
\[
18 \times 10 = 180
\]
So, the expression becomes:
\[
180 + 40
\]

2. Perform addition:
\[
180 + 40 = 220
\]

Answer:
\[
\boxed{220}
\]

---

5. \( 32 + 1 + (12 \times 5 \div 3) \)

1. Solve inside the brackets first, following the order of operations (multiplication and division from left to right):
\[
12 \times 5 = 60
\]
\[
60 \div 3 = 20
\]
So, the expression becomes:
\[
32 + 1 + 20
\]

2. Perform addition from left to right:
\[
32 + 1 = 33
\]
\[
33 + 20 = 53
\]

Answer:
\[
\boxed{53}
\]

---

6. \( (3 \times 3) + 15 + 1 \times 9 \)

1. Solve inside the brackets first:
\[
3 \times 3 = 9
\]
So, the expression becomes:
\[
9 + 15 + 1 \times 9
\]

2. Perform multiplication next:
\[
1 \times 9 = 9
\]
So, the expression becomes:
\[
9 + 15 + 9
\]

3. Perform addition from left to right:
\[
9 + 15 = 24
\]
\[
24 + 9 = 33
\]

Answer:
\[
\boxed{33}
\]

---

7. \( (5 - 5) \div 12 \div 63 \div 77 \)

1. Solve inside the brackets first:
\[
5 - 5 = 0
\]
So, the expression becomes:
\[
0 \div 12 \div 63 \div 77
\]

2. Any number divided by a non-zero number is 0:
\[
0 \div 12 = 0
\]
\[
0 \div 63 = 0
\]
\[
0 \div 77 = 0
\]

Answer:
\[
\boxed{0}
\]

---

8. \( 2 \times 6 + 11 \times 5 + 2 \)

1. Perform multiplication first:
\[
2 \times 6 = 12
\]
\[
11 \times 5 = 55
\]
So, the expression becomes:
\[
12 + 55 + 2
\]

2. Perform addition from left to right:
\[
12 + 55 = 67
\]
\[
67 + 2 = 69
\]

Answer:
\[
\boxed{69}
\]

---

9. \( 24 + 12 + (30 + 15 + 39) \)

1. Solve inside the brackets first:
\[
30 + 15 = 45
\]
\[
45 + 39 = 84
\]
So, the expression becomes:
\[
24 + 12 + 84
\]

2. Perform addition from left to right:
\[
24 + 12 = 36
\]
\[
36 + 84 = 120
\]

Answer:
\[
\boxed{120}
\]

---

10. \( (6 \times 9 + 22 \times 6) \times 4 \)

1. Solve inside the brackets first:
\[
6 \times 9 = 54
\]
\[
22 \times 6 = 132
\]
\[
54 + 132 = 186
\]
So, the expression becomes:
\[
186 \times 4
\]

2. Perform multiplication:
\[
186 \times 4 = 744
\]

Answer:
\[
\boxed{744}
\]

---

11. \( 60 \div 12 \times (4 + 32 \times 9) \)

1. Solve inside the brackets first:
\[
32 \times 9 = 288
\]
\[
4 + 288 = 292
\]
So, the expression becomes:
\[
60 \div 12 \times 292
\]

2. Perform division:
\[
60 \div 12 = 5
\]
So, the expression becomes:
\[
5 \times 292
\]

3. Perform multiplication:
\[
5 \times 292 = 1460
\]

Answer:
\[
\boxed{1460}
\]

---

12. \( 3 \times (6 + 14 + 39 \times 3) \)

1. Solve inside the brackets first:
\[
39 \times 3 = 117
\]
\[
6 + 14 = 20
\]
\[
20 + 117 = 137
\]
So, the expression becomes:
\[
3 \times 137
\]

2. Perform multiplication:
\[
3 \times 137 = 411
\]

Answer:
\[
\boxed{411}
\]

---

Final Answers:

\[
\boxed{490, 51, 38, 220, 53, 33, 0, 69, 120, 744, 1460, 411}
\]