Math worksheet for practicing number bonds and addition to reach the next ten.

Problem Analysis:

The task involves completing number bonds, performing basic arithmetic operations (addition and subtraction), and solving equations by finding missing numbers. Let's break it down step by step.

---

Part 1: Complete the Number Bond

We are given a number bond diagram and need to fill in the missing values.

#### Number Bond Diagram:
- The top circle represents the total.
- The bottom circles represent the parts that add up to the total.

#### Given Number Bond:
```
8
/ \
2 6
```
This shows that \( 2 + 6 = 8 \).

#### Missing Number Bond:
We need to fill in the missing parts for the second number bond:
```
?
/ \
? ?
```

#### Steps:
1. Identify the total: The total is given as \( 8 - 5 = 3 \).
2. Determine the parts: The parts must add up to the total. Since \( 3 = 1 + 2 \), we can use these values.
3. Fill in the diagram:
```
3
/ \
1 2
```

#### Final Answer for the Number Bond:
```
3
/ \
1 2
```

---

Part 2: Solve the Arithmetic Problems

We need to complete the addition and subtraction problems.

#### Addition and Subtraction Problems:
1. Addition:
- \( 6 + 2 = 8 \)
- \( 2 + 6 = 8 \)
- \( 8 - 2 = 6 \)
- \( 8 - 6 = 2 \)

2. Missing Equations:
- \( 3 + 5 = 8 \)
- \( 5 + 3 = 8 \)
- \( 8 - 3 = 5 \)
- \( 8 - 5 = 3 \)

#### Final Answers for Addition and Subtraction:
```
6 + 2 = 8
2 + 6 = 8
8 - 2 = 6
8 - 6 = 2

3 + 5 = 8
5 + 3 = 8
8 - 3 = 5
8 - 5 = 3
```

---

Part 3: Solve the Division and Addition Problems

We need to solve the given equations involving division and addition.

#### Division and Addition Problems:
1. \( 20 ÷ 4 = 5 \)
2. \( 40 + 3 = 43 \)
3. \( 70 + 2 = 72 \)
4. \( 80 + 5 = 85 \)

#### Missing Equations:
1. \( 29 = 20 + 9 \)
2. \( 48 = 40 + 8 \)
3. \( 56 = 50 + 6 \)
4. \( 97 = 90 + 7 \)

#### Final Answers:
```
20 ÷ 4 = 5
40 + 3 = 43
70 + 2 = 72
80 + 5 = 85

29 = 20 + 9
48 = 40 + 8
56 = 50 + 6
97 = 90 + 7
```

---

Part 4: Solve the Missing Number Problems

We need to find the missing numbers in the given equations.

#### Equations:
1. \( 14 = 10 + 4 \)
2. \( 23 = 20 + 3 \)
3. \( 71 = 70 + 1 \)
4. \( 82 = 80 + 2 \)

5. \( 19 = 10 + 9 \)
6. \( 29 = 20 + 9 \)
7. \( 78 = 70 + 8 \)
8. \( 87 = 80 + 7 \)

#### Final Answers:
```
14 = 10 + 4
23 = 20 + 3
71 = 70 + 1
82 = 80 + 2

19 = 10 + 9
29 = 20 + 9
78 = 70 + 8
87 = 80 + 7
```

---

Final Answer:

Combining all the solutions, we have:

1. Number Bond:
```
3
/ \
1 2
```

2. Addition and Subtraction:
```
6 + 2 = 8
2 + 6 = 8
8 - 2 = 6
8 - 6 = 2

3 + 5 = 8
5 + 3 = 8
8 - 3 = 5
8 - 5 = 3
```

3. Division and Addition:
```
20 ÷ 4 = 5
40 + 3 = 43
70 + 2 = 72
80 + 5 = 85

29 = 20 + 9
48 = 40 + 8
56 = 50 + 6
97 = 90 + 7
```

4. Missing Numbers:
```
14 = 10 + 4
23 = 20 + 3
71 = 70 + 1
82 = 80 + 2

19 = 10 + 9
29 = 20 + 9
78 = 70 + 8
87 = 80 + 7
```

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Number Bond:} \\
\begin{array}{c}
3 \\
/ \ \backslash \\
1 \quad 2
\end{array} \\
\text{Addition and Subtraction:} \\
6 + 2 = 8, \ 2 + 6 = 8, \ 8 - 2 = 6, \ 8 - 6 = 2 \\
3 + 5 = 8, \ 5 + 3 = 8, \ 8 - 3 = 5, \ 8 - 5 = 3 \\
\text{Division and Addition:} \\
20 ÷ 4 = 5, \ 40 + 3 = 43, \ 70 + 2 = 72, \ 80 + 5 = 85 \\
29 = 20 + 9, \ 48 = 40 + 8, \ 56 = 50 + 6, \ 97 = 90 + 7 \\
\text{Missing Numbers:} \\
14 = 10 + 4, \ 23 = 20 + 3, \ 71 = 70 + 1, \ 82 = 80 + 2 \\
19 = 10 + 9, \ 29 = 20 + 9, \ 78 = 70 + 8, \ 87 = 80 + 7
\end{array}
}
\]