Counting practice worksheet for students to complete number sequences in steps of 1 and 10.

Problem Analysis:

The task involves completing arrays of numbers by filling in the missing values. The instructions specify counting forwards and backwards in steps of 1 and 10. Let's break this down step by step.

---

Step-by-Step Solution:

#### Left Column (Counting in Steps of 1):

1. Row 1:
- Given: `21, 22, 23, __, __, __`
- Pattern: Counting forward by 1.
- Missing numbers: `24, 25, 26`
- Completed row: `21, 22, 23, 24, 25, 26`

2. Row 2:
- Given: `37, 38, 39, __, __, __`
- Pattern: Counting forward by 1.
- Missing numbers: `40, 41, 42`
- Completed row: `37, 38, 39, 40, 41, 42`

3. Row 3:
- Given: `69, 70, 71, __, __, __`
- Pattern: Counting forward by 1.
- Missing numbers: `72, 73, 74`
- Completed row: `69, 70, 71, 72, 73, 74`

4. Row 4:
- Given: `__, __, __, 45, 46, 47`
- Pattern: Counting forward by 1.
- Missing numbers: `42, 43, 44`
- Completed row: `42, 43, 44, 45, 46, 47`

5. Row 5:
- Given: `__, __, __, 39, 40, 41`
- Pattern: Counting forward by 1.
- Missing numbers: `36, 37, 38`
- Completed row: `36, 37, 38, 39, 40, 41`

6. Row 6:
- Given: `__, __, __, 80, 81, 82`
- Pattern: Counting forward by 1.
- Missing numbers: `77, 78, 79`
- Completed row: `77, 78, 79, 80, 81, 82`

7. Row 7:
- Given: `97, 98, 99, __, __, __`
- Pattern: Counting forward by 1.
- Missing numbers: `100, 101, 102`
- Completed row: `97, 98, 99, 100, 101, 102`

8. Row 8:
- Given: `111, 112, 113, __, __, __`
- Pattern: Counting forward by 1.
- Missing numbers: `114, 115, 116`
- Completed row: `111, 112, 113, 114, 115, 116`

---

#### Right Column (Counting in Steps of 10):

1. Row 1:
- Given: `10, 20, 30, __, __, __`
- Pattern: Counting forward by 10.
- Missing numbers: `40, 50, 60`
- Completed row: `10, 20, 30, 40, 50, 60`

2. Row 2:
- Given: `50, 60, 70, __, __, __`
- Pattern: Counting forward by 10.
- Missing numbers: `80, 90, 100`
- Completed row: `50, 60, 70, 80, 90, 100`

3. Row 3:
- Given: `21, 31, 41, __, __, __`
- Pattern: Counting forward by 10.
- Missing numbers: `51, 61, 71`
- Completed row: `21, 31, 41, 51, 61, 71`

4. Row 4:
- Given: `46, 56, 66, __, __, __`
- Pattern: Counting forward by 10.
- Missing numbers: `76, 86, 96`
- Completed row: `46, 56, 66, 76, 86, 96`

5. Row 5:
- Given: `__, __, __, 35, 45, 55`
- Pattern: Counting forward by 10.
- Missing numbers: `5, 15, 25`
- Completed row: `5, 15, 25, 35, 45, 55`

6. Row 6:
- Given: `__, __, __, 69, 79, 89`
- Pattern: Counting forward by 10.
- Missing numbers: `39, 49, 59`
- Completed row: `39, 49, 59, 69, 79, 89`

7. Row 7:
- Given: `66, 76, 86, __, __, __`
- Pattern: Counting forward by 10.
- Missing numbers: `96, 106, 116`
- Completed row: `66, 76, 86, 96, 106, 116`

8. Row 8:
- Given: `__, __, __, 100, 110, 120`
- Pattern: Counting forward by 10.
- Missing numbers: `70, 80, 90`
- Completed row: `70, 80, 90, 100, 110, 120`

---

#### Bottom Row (Counting by 100):

- Given: `100, __, __, __, __, 410, 510, 610`
- Pattern: Counting forward by 100.
- Missing numbers: `200, 300, 400, 500`
- Completed row: `100, 200, 300, 400, 500, 410, 510, 610`

---

Final Answer:

```plaintext
Left Column:
1. 21, 22, 23, 24, 25, 26
2. 37, 38, 39, 40, 41, 42
3. 69, 70, 71, 72, 73, 74
4. 42, 43, 44, 45, 46, 47
5. 36, 37, 38, 39, 40, 41
6. 77, 78, 79, 80, 81, 82
7. 97, 98, 99, 100, 101, 102
8. 111, 112, 113, 114, 115, 116

Right Column:
1. 10, 20, 30, 40, 50, 60
2. 50, 60, 70, 80, 90, 100
3. 21, 31, 41, 51, 61, 71
4. 46, 56, 66, 76, 86, 96
5. 5, 15, 25, 35, 45, 55
6. 39, 49, 59, 69, 79, 89
7. 66, 76, 86, 96, 106, 116
8. 70, 80, 90, 100, 110, 120

Bottom Row:
100, 200, 300, 400, 500, 410, 510, 610
```

Final Answer Boxed:
\boxed{
\begin{array}{ll}
\text{Left Column:} & \text{Right Column:} \\
1. 21, 22, 23, 24, 25, 26 & 1. 10, 20, 30, 40, 50, 60 \\
2. 37, 38, 39, 40, 41, 42 & 2. 50, 60, 70, 80, 90, 100 \\
3. 69, 70, 71, 72, 73, 74 & 3. 21, 31, 41, 51, 61, 71 \\
4. 42, 43, 44, 45, 46, 47 & 4. 46, 56, 66, 76, 86, 96 \\
5. 36, 37, 38, 39, 40, 41 & 5. 5, 15, 25, 35, 45, 55 \\
6. 77, 78, 79, 80, 81, 82 & 6. 39, 49, 59, 69, 79, 89 \\
7. 97, 98, 99, 100, 101, 102 & 7. 66, 76, 86, 96, 106, 116 \\
8. 111, 112, 113, 114, 115, 116 & 8. 70, 80, 90, 100, 110, 120 \\
\end{array}
}
\boxed{100, 200, 300, 400, 500, 410, 510, 610}
```