worksheets - numeracyworld.com | Mr Williams Maths - Free Printable

The task involves solving number bonds for the numbers 10, 20, 30, and 50. A "number bond" is a pair of numbers that add up to a given total. For example, if the total is 10, then pairs like \( (2, 8) \), \( (3, 7) \), etc., are number bonds.

Steps to Solve:

1. Identify the target sum: Each problem specifies a target sum (10, 20, 30, or 50).
2. Find the missing number: For each equation, determine the number that, when added to the given number, equals the target sum.
3. Verify the solution: Ensure that the sum of the two numbers equals the target sum.

Solution Explanation:

Let's solve a few examples from the image to illustrate the process:

#### Example 1: Target Sum = 10
- Problem: \( \square + 7 = 10 \)
- Solution: The missing number is \( 10 - 7 = 3 \).
- Answer: \( 3 \)

#### Example 2: Target Sum = 20
- Problem: \( \square + 14 = 20 \)
- Solution: The missing number is \( 20 - 14 = 6 \).
- Answer: \( 6 \)

#### Example 3: Target Sum = 30
- Problem: \( \square + 26 = 30 \)
- Solution: The missing number is \( 30 - 26 = 4 \).
- Answer: \( 4 \)

#### Example 4: Target Sum = 50
- Problem: \( \square + 23 = 50 \)
- Solution: The missing number is \( 50 - 23 = 27 \).
- Answer: \( 27 \)

General Formula:

For any problem of the form \( \square + x = y \):
\[ \text{Missing number} = y - x \]

Complete Solutions:

Here are the solutions for all the problems in the image:

#### Target Sum = 10
1. \( 0 + 0 = 10 \) → \( 10 \)
2. \( 3 + 7 = 10 \) → \( 3 \)
3. \( 8 + 2 = 10 \) → \( 8 \)
4. \( 7 + 3 = 10 \) → \( 7 \)
5. \( 9 + 1 = 10 \) → \( 9 \)
6. \( 1 + 9 = 10 \) → \( 1 \)
7. \( 10 + 0 = 10 \) → \( 10 \)
8. \( 6 + 4 = 10 \) → \( 6 \)
9. \( 5 + 5 = 10 \) → \( 5 \)
10. \( 4 + 6 = 10 \) → \( 4 \)

#### Target Sum = 20
11. \( 1 + 9 = 20 \) → \( 11 \)
12. \( 0 + 20 = 20 \) → \( 20 \)
13. \( 17 + 3 = 20 \) → \( 3 \)
14. \( 11 + 9 = 20 \) → \( 9 \)
15. \( 13 + 7 = 20 \) → \( 7 \)
16. \( 15 + 5 = 20 \) → \( 5 \)
17. \( 8 + 12 = 20 \) → \( 12 \)
18. \( 5 + 15 = 20 \) → \( 15 \)
19. \( 4 + 16 = 20 \) → \( 16 \)
20. \( 2 + 18 = 20 \) → \( 18 \)

#### Target Sum = 30
21. \( 14 + 6 = 30 \) → \( 6 \)
22. \( 1 + 29 = 30 \) → \( 29 \)
23. \( 9 + 21 = 30 \) → \( 21 \)
24. \( 7 + 23 = 30 \) → \( 23 \)
25. \( 23 + 7 = 30 \) → \( 7 \)
26. \( 21 + 9 = 30 \) → \( 9 \)
27. \( 29 + 1 = 30 \) → \( 1 \)
28. \( 27 + 3 = 30 \) → \( 3 \)
29. \( 25 + 5 = 30 \) → \( 5 \)
30. \( 24 + 6 = 30 \) → \( 6 \)

#### Target Sum = 50
31. \( 19 + 31 = 50 \) → \( 31 \)
32. \( 20 + 30 = 50 \) → \( 30 \)
33. \( 12 + 38 = 50 \) → \( 38 \)
34. \( 11 + 39 = 50 \) → \( 39 \)
35. \( 28 + 22 = 50 \) → \( 22 \)
36. \( 26 + 24 = 50 \) → \( 24 \)
37. \( 17 + 33 = 50 \) → \( 33 \)
38. \( 20 + 30 = 50 \) → \( 30 \)
39. \( 18 + 32 = 50 \) → \( 32 \)
40. \( 13 + 37 = 50 \) → \( 37 \)
41. \( 24 + 26 = 50 \) → \( 26 \)
42. \( 27 + 23 = 50 \) → \( 23 \)
43. \( 2 + 48 = 50 \) → \( 48 \)
44. \( 18 + 32 = 50 \) → \( 32 \)
45. \( 1 + 49 = 50 \) → \( 49 \)
46. \( 23 + 27 = 50 \) → \( 27 \)
47. \( 14 + 36 = 50 \) → \( 36 \)
48. \( 7 + 43 = 50 \) → \( 43 \)
49. \( 3 + 47 = 50 \) → \( 47 \)
50. \( 10 + 40 = 50 \) → \( 40 \)

Final Answer:

\[
\boxed{
\begin{array}{c}
10, 3, 8, 7, 9, 1, 10, 6, 5, 4, \\
11, 20, 3, 9, 7, 5, 12, 15, 16, 18, \\
6, 29, 21, 23, 7, 9, 1, 3, 5, 6, \\
31, 30, 38, 39, 22, 24, 33, 30, 32, 37, \\
26, 23, 48, 32, 49, 27, 36, 43, 47, 40.
\end{array}
}
\]