The task is to find the missing numbers in a sequence. Let's analyze each row step by step and identify the pattern.
Row 1:
```
□ → 9 → 10 → □ → 12
```
- The sequence starts with an unknown number, followed by 9, 10, another unknown number, and ends with 12.
- Observing the known numbers (9, 10, 12), we see that the numbers are increasing by 1.
- Therefore, the missing numbers are:
- Before 9: \( 9 - 1 = 8 \)
- Between 10 and 12: \( 10 + 1 = 11 \)
So, the completed row is:
```
8 → 9 → 10 → 11 → 12
```
Row 2:
```
15 → □ → 17 → 18 → □
```
- The sequence starts with 15, followed by an unknown number, then 17, 18, and another unknown number.
- Observing the known numbers (15, 17, 18), we see that the numbers are increasing by 1 or 2.
- The difference between 15 and 17 is 2, so the sequence increases by 1 after that.
- Therefore, the missing numbers are:
- Between 15 and 17: \( 15 + 1 = 16 \)
- After 18: \( 18 + 1 = 19 \)
So, the completed row is:
```
15 → 16 → 17 → 18 → 19
```
Row 3:
```
□ → 22 → 23 → □ → 25
```
- The sequence starts with an unknown number, followed by 22, 23, another unknown number, and ends with 25.
- Observing the known numbers (22, 23, 25), we see that the numbers are increasing by 1.
- Therefore, the missing numbers are:
- Before 22: \( 22 - 1 = 21 \)
- Between 23 and 25: \( 23 + 1 = 24 \)
So, the completed row is:
```
21 → 22 → 23 → 24 → 25
```
Row 4:
```
27 → 28 → □ → 30 → □
```
- The sequence starts with 27, followed by 28, an unknown number, 30, and another unknown number.
- Observing the known numbers (27, 28, 30), we see that the numbers are increasing by 1 or 2.
- The difference between 28 and 30 is 2, so the sequence increases by 1 before and after that.
- Therefore, the missing numbers are:
- Between 28 and 30: \( 28 + 1 = 29 \)
- After 30: \( 30 + 1 = 31 \)
So, the completed row is:
```
27 → 28 → 29 → 30 → 31
```
Row 5:
```
31 → □ → 33 → □ → 35
```
- The sequence starts with 31, followed by an unknown number, then 33, another unknown number, and ends with 35.
- Observing the known numbers (31, 33, 35), we see that the numbers are increasing by 2.
- Therefore, the missing numbers are:
- Between 31 and 33: \( 31 + 2 = 32 \)
- Between 33 and 35: \( 33 + 2 = 34 \)
So, the completed row is:
```
31 → 32 → 33 → 34 → 35
```
Final Answer:
Putting all the rows together, the completed worksheet is:
```
8 → 9 → 10 → 11 → 12
15 → 16 → 17 → 18 → 19
21 → 22 → 23 → 24 → 25
27 → 28 → 29 → 30 → 31
31 → 32 → 33 → 34 → 35
```
Thus, the missing numbers are:
\[
\boxed{8, 16, 21, 29, 32, 11, 19, 24, 31, 34}
\]
Parent Tip: Review the logic above to help your child master the concept of printable number puzzles for toddlers.