Subtraction math worksheets for primary math education, from basic ... - Free Printable

To solve the problem of filling in the missing numbers in the provided worksheet, we need to carefully analyze each row and determine the pattern or rule being applied. Let's break it down step by step.

---

Worksheet Analysis

The worksheet appears to involve basic arithmetic operations (addition, subtraction, multiplication, or division) or simple number patterns. Each row seems to follow a consistent rule, and our task is to identify that rule and fill in the missing numbers.

---

Step-by-Step Solution

#### Row 1:
```
2 | 4 | 6 | 8 | __ | __
```
- The sequence starts with 2 and increases by 2 each time.
- The next two numbers are:
- \( 8 + 2 = 10 \)
- \( 10 + 2 = 12 \)

Filled Row:
```
2 | 4 | 6 | 8 | 10 | 12
```

#### Row 2:
```
1 | 3 | 5 | 7 | __ | __
```
- The sequence starts with 1 and increases by 2 each time.
- The next two numbers are:
- \( 7 + 2 = 9 \)
- \( 9 + 2 = 11 \)

Filled Row:
```
1 | 3 | 5 | 7 | 9 | 11
```

#### Row 3:
```
10 | 8 | 6 | 4 | __ | __
```
- The sequence starts with 10 and decreases by 2 each time.
- The next two numbers are:
- \( 4 - 2 = 2 \)
- \( 2 - 2 = 0 \)

Filled Row:
```
10 | 8 | 6 | 4 | 2 | 0
```

#### Row 4:
```
5 | 10 | 15 | 20 | __ | __
```
- The sequence starts with 5 and increases by 5 each time.
- The next two numbers are:
- \( 20 + 5 = 25 \)
- \( 25 + 5 = 30 \)

Filled Row:
```
5 | 10 | 15 | 20 | 25 | 30
```

#### Row 5:
```
20 | 15 | 10 | 5 | __ | __
```
- The sequence starts with 20 and decreases by 5 each time.
- The next two numbers are:
- \( 5 - 5 = 0 \)
- \( 0 - 5 = -5 \)

Filled Row:
```
20 | 15 | 10 | 5 | 0 | -5
```

#### Row 6:
```
3 | 6 | 9 | 12 | __ | __
```
- The sequence starts with 3 and increases by 3 each time.
- The next two numbers are:
- \( 12 + 3 = 15 \)
- \( 15 + 3 = 18 \)

Filled Row:
```
3 | 6 | 9 | 12 | 15 | 18
```

#### Row 7:
```
12 | 9 | 6 | 3 | __ | __
```
- The sequence starts with 12 and decreases by 3 each time.
- The next two numbers are:
- \( 3 - 3 = 0 \)
- \( 0 - 3 = -3 \)

Filled Row:
```
12 | 9 | 6 | 3 | 0 | -3
```

#### Row 8:
```
1 | 2 | 4 | 8 | __ | __
```
- The sequence starts with 1 and doubles each time.
- The next two numbers are:
- \( 8 \times 2 = 16 \)
- \( 16 \times 2 = 32 \)

Filled Row:
```
1 | 2 | 4 | 8 | 16 | 32
```

#### Row 9:
```
32 | 16 | 8 | 4 | __ | __
```
- The sequence starts with 32 and halves each time.
- The next two numbers are:
- \( 4 \div 2 = 2 \)
- \( 2 \div 2 = 1 \)

Filled Row:
```
32 | 16 | 8 | 4 | 2 | 1
```

#### Row 10:
```
1 | 4 | 9 | 16 | __ | __
```
- The sequence represents the squares of consecutive integers: \( 1^2, 2^2, 3^2, 4^2, \ldots \).
- The next two numbers are:
- \( 5^2 = 25 \)
- \( 6^2 = 36 \)

Filled Row:
```
1 | 4 | 9 | 16 | 25 | 36
```

---

Final Answer

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

```
2 | 4 | 6 | 8 | 10 | 12
1 | 3 | 5 | 7 | 9 | 11
10 | 8 | 6 | 4 | 2 | 0
5 | 10 | 15 | 20 | 25 | 30
20 | 15 | 10 | 5 | 0 | -5
3 | 6 | 9 | 12 | 15 | 18
12 | 9 | 6 | 3 | 0 | -3
1 | 2 | 4 | 8 | 16 | 32
32 | 16 | 8 | 4 | 2 | 1
1 | 4 | 9 | 16 | 25 | 36
```

Boxed Final Answer:
\[
\boxed{
\begin{array}{cccccc}
2 & 4 & 6 & 8 & 10 & 12 \\
1 & 3 & 5 & 7 & 9 & 11 \\
10 & 8 & 6 & 4 & 2 & 0 \\
5 & 10 & 15 & 20 & 25 & 30 \\
20 & 15 & 10 & 5 & 0 & -5 \\
3 & 6 & 9 & 12 & 15 & 18 \\
12 & 9 & 6 & 3 & 0 & -3 \\
1 & 2 & 4 & 8 & 16 & 32 \\
32 & 16 & 8 & 4 & 2 & 1 \\
1 & 4 & 9 & 16 & 25 & 36 \\
\end{array}
}
\]