Number Bonds of 10, 20, and 100 Ultimate Challenge worksheets for math practice.

The image you provided is a worksheet focused on number bonds, which are pairs of numbers that add up to a given total. The task involves completing the number bonds for totals of 10, 20, and 100. Below, I will explain how to solve each section step by step.

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Understanding Number Bonds

- A number bond is a simple addition fact where two numbers (parts) combine to make a whole.
- For example:
- For the total 10: \( 3 + 7 = 10 \)
- For the total 20: \( 12 + 8 = 20 \)
- For the total 100: \( 45 + 55 = 100 \)

The goal is to fill in the missing parts so that the sum equals the given total.

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Worksheet Breakdown and Solutions

#### Column 1: Number Bonds of 10
1. Top row: \( 20 \) (This seems out of place since we're focusing on 10. Ignore it or treat it as a typo.)
2. Middle row: \( 10 \)
- Left circle: \( 1 \)
- Right circle: \( 9 \) (since \( 1 + 9 = 10 \))
3. Bottom row: \( 20 \)
- Left circle: \( 2 \)
- Right circle: \( 8 \) (since \( 2 + 8 = 10 \))

#### Column 2: Number Bonds of 20
1. Top row: \( 100 \) (Ignore this as it's not relevant to 20.)
2. Middle row: \( 20 \)
- Left circle: \( 10 \)
- Right circle: \( 10 \) (since \( 10 + 10 = 20 \))
3. Bottom row: \( 100 \)
- Left circle: \( 40 \)
- Right circle: \( 60 \) (since \( 40 + 60 = 100 \), but this is unrelated to 20.)

#### Column 3: Number Bonds of 100
1. Top row: \( 100 \)
- Left circle: \( 80 \)
- Right circle: \( 20 \) (since \( 80 + 20 = 100 \))
2. Middle row: \( 100 \)
- Left circle: \( 10 \)
- Right circle: \( 90 \) (since \( 10 + 90 = 100 \))
3. Bottom row: \( 100 \)
- Left circle: \( 40 \)
- Right circle: \( 60 \) (since \( 40 + 60 = 100 \))

#### Column 4: Number Bonds of 20
1. Top row: \( 20 \)
- Left triangle: \( 20 \)
- Middle circle: \( 10 \)
- Right circle: \( 10 \) (since \( 10 + 10 = 20 \))
2. Middle row: \( 20 \)
- Left circle: \( 4 \)
- Right circle: \( 16 \) (since \( 4 + 16 = 20 \))
3. Bottom row: \( 20 \)
- Left circle: \( 8 \)
- Right circle: \( 12 \) (since \( 8 + 12 = 20 \))

#### Column 5: Number Bonds of 20
1. Top row: \( 20 \)
- Left circle: \( 10 \)
- Right circle: \( 10 \) (since \( 10 + 10 = 20 \))
2. Middle row: \( 10 \)
- Left circle: \( 4 \)
- Right circle: \( 6 \) (since \( 4 + 6 = 10 \))
3. Bottom row: \( 20 \)
- Left circle: \( 2 \)
- Right circle: \( 18 \) (since \( 2 + 18 = 20 \))

#### Column 6: Number Bonds of 20
1. Top row: \( 20 \)
- Left circle: \( 10 \)
- Right circle: \( 10 \) (since \( 10 + 10 = 20 \))
2. Middle row: \( 10 \)
- Left circle: \( 5 \)
- Right circle: \( 5 \) (since \( 5 + 5 = 10 \))
3. Bottom row: \( 20 \)
- Left circle: \( 2 \)
- Right circle: \( 18 \) (since \( 2 + 18 = 20 \))

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Final Answer

Here is the completed worksheet with all missing values filled in:

| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |
|----------|----------|----------|----------|----------|----------|
| 20 | 100 | 100 | 20 | 20 | 20 |
| 1 | 10 | 80 | 20 | 10 | 10 |
| 9 | 10 | 20 | 10 | 4 | 5 |
| 20 | 100 | 100 | 20 | 20 | 20 |
| 2 | 40 | 10 | 4 | 10 | 2 |
| 8 | 60 | 90 | 16 | 6 | 18 |
| 20 | 100 | 100 | 20 | 20 | 20 |
| 8 | 40 | 40 | 8 | 2 | 2 |
| 12 | 60 | 60 | 12 | 18 | 18 |

Thus, the final answer is:

\[
\boxed{
\begin{array}{c}
\text{See the detailed breakdown above for each column.}
\end{array}
}
\]