Number bonds to 50 worksheet for practicing addition skills.

Problem Overview:

The task involves solving number bonds to 50. This means finding pairs of numbers that add up to 50. The worksheet is divided into three main sections:
1. Fill in the missing numbers to make 50.
2. Join the bonds: Identify pairs of numbers from a given list that add up to 50.
3. Circle the bonds: Circle all pairs of numbers in a grid that total 50.

Let's solve each section step by step.

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Section 1: Fill in the missing numbers to make 50

We need to find the missing numbers in each equation so that the sum equals 50.

#### Equations:
1. \( 36 + \_ = 50 \)
- Missing number = \( 50 - 36 = 14 \)
- Answer: \( 14 \)

2. \( \_ + 41 = 50 \)
- Missing number = \( 50 - 41 = 9 \)
- Answer: \( 9 \)

3. \( 28 + \_ = 50 \)
- Missing number = \( 50 - 28 = 22 \)
- Answer: \( 22 \)

4. \( \_ + 13 = 50 \)
- Missing number = \( 50 - 13 = 37 \)
- Answer: \( 37 \)

5. \( 17 + \_ = 50 \)
- Missing number = \( 50 - 17 = 33 \)
- Answer: \( 33 \)

6. \( \_ + 31 = 50 \)
- Missing number = \( 50 - 31 = 19 \)
- Answer: \( 19 \)

7. \( 25 + \_ = 50 \)
- Missing number = \( 50 - 25 = 25 \)
- Answer: \( 25 \)

8. \( \_ + 7 = 50 \)
- Missing number = \( 50 - 7 = 43 \)
- Answer: \( 43 \)

9. \( 12 + \_ = 50 \)
- Missing number = \( 50 - 12 = 38 \)
- Answer: \( 38 \)

10. \( 50 = \_ + 47 \)
- Missing number = \( 50 - 47 = 3 \)
- Answer: \( 3 \)

11. \( 50 = 27 + \_ \)
- Missing number = \( 50 - 27 = 23 \)
- Answer: \( 23 \)

12. \( 50 = \_ + 16 \)
- Missing number = \( 50 - 16 = 34 \)
- Answer: \( 34 \)

#### Final Answers for Section 1:
1. \( 14 \)
2. \( 9 \)
3. \( 22 \)
4. \( 37 \)
5. \( 33 \)
6. \( 19 \)
7. \( 25 \)
8. \( 43 \)
9. \( 38 \)
10. \( 3 \)
11. \( 23 \)
12. \( 34 \)

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Section 2: Join the bonds

We are given a list of numbers and need to identify pairs that add up to 50.

#### Numbers:
\[ 32, 12, 16, 34, 33, 18, 38, 41, 5, 45, 26, 9, 17 \]

#### Finding pairs:
1. \( 32 + 18 = 50 \)
2. \( 12 + 38 = 50 \)
3. \( 16 + 34 = 50 \)
4. \( 33 + 17 = 50 \)
5. \( 5 + 45 = 50 \)
6. \( 26 + 24 = 50 \) (Note: 24 is not in the list, so this pair is invalid.)
7. \( 9 + 41 = 50 \)

#### Valid pairs:
- \( (32, 18) \)
- \( (12, 38) \)
- \( (16, 34) \)
- \( (33, 17) \)
- \( (5, 45) \)
- \( (9, 41) \)

---

Section 3: Circle the bonds

We are given a grid of numbers and need to circle all pairs that add up to 50.

#### Grid:
\[
\begin{array}{cccccc}
19 & 5 & 26 & 24 & 43 & 32 \\
31 & 24 & 45 & 7 & 11 & 18 \\
22 & 41 & 27 & 39 & 15 & 3 \\
16 & 28 & 30 & 16 & 14 & 47 \\
34 & 13 & 29 & 20 & 36 & 22 \\
37 & 1 & 49 & 33 & 28 & 8 \\
\end{array}
\]

#### Finding pairs:
1. \( 19 + 31 = 50 \)
2. \( 5 + 45 = 50 \)
3. \( 26 + 24 = 50 \)
4. \( 24 + 26 = 50 \) (Already counted as \( 26 + 24 \))
5. \( 43 + 7 = 50 \)
6. \( 32 + 18 = 50 \)
7. \( 22 + 28 = 50 \)
8. \( 41 + 9 = 50 \)
9. \( 27 + 23 = 50 \) (23 is not in the grid, so this pair is invalid.)
10. \( 39 + 11 = 50 \)
11. \( 15 + 35 = 50 \) (35 is not in the grid, so this pair is invalid.)
12. \( 16 + 34 = 50 \)
13. \( 28 + 22 = 50 \) (Already counted as \( 22 + 28 \))
14. \( 30 + 20 = 50 \)
15. \( 16 + 34 = 50 \) (Already counted)
16. \( 14 + 36 = 50 \)
17. \( 47 + 3 = 50 \)
18. \( 34 + 16 = 50 \) (Already counted as \( 16 + 34 \))
19. \( 13 + 37 = 50 \)
20. \( 29 + 21 = 50 \) (21 is not in the grid, so this pair is invalid.)
21. \( 20 + 30 = 50 \) (Already counted as \( 30 + 20 \))
22. \( 36 + 14 = 50 \) (Already counted as \( 14 + 36 \))
23. \( 22 + 28 = 50 \) (Already counted as \( 28 + 22 \))
24. \( 37 + 13 = 50 \) (Already counted as \( 13 + 37 \))
25. \( 1 + 49 = 50 \)
26. \( 49 + 1 = 50 \) (Already counted as \( 1 + 49 \))
27. \( 33 + 17 = 50 \)
28. \( 28 + 22 = 50 \) (Already counted as \( 22 + 28 \))
29. \( 8 + 42 = 50 \) (42 is not in the grid, so this pair is invalid.)

#### Valid pairs:
- \( (19, 31) \)
- \( (5, 45) \)
- \( (26, 24) \)
- \( (43, 7) \)
- \( (32, 18) \)
- \( (22, 28) \)
- \( (41, 9) \)
- \( (39, 11) \)
- \( (16, 34) \)
- \( (30, 20) \)
- \( (14, 36) \)
- \( (47, 3) \)
- \( (13, 37) \)
- \( (1, 49) \)
- \( (33, 17) \)

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Final Answers:

1. Section 1:
\[
\boxed{14, 9, 22, 37, 33, 19, 25, 43, 38, 3, 23, 34}
\]

2. Section 2:
\[
\boxed{(32, 18), (12, 38), (16, 34), (33, 17), (5, 45), (9, 41)}
\]

3. Section 3:
\[
\boxed{(19, 31), (5, 45), (26, 24), (43, 7), (32, 18), (22, 28), (41, 9), (39, 11), (16, 34), (30, 20), (14, 36), (47, 3), (13, 37), (1, 49), (33, 17)}
\]