Grade 2 Pattern Worksheets | Free Printables | Math Worksheets - Free Printable

To solve the problem, we need to identify the pattern in each sequence and fill in the missing numbers accordingly. Let's analyze each sequence step by step.

---

Sequence 1:

```
2, 4, 6, _, _, 10, _, 12
```
- The numbers are increasing by 2 each time.
- Missing numbers:
- After 6: \(6 + 2 = 8\)
- After 8: \(8 + 2 = 10\) (already given)
- After 10: \(10 + 2 = 12\) (already given)

So, the completed sequence is:
```
2, 4, 6, 8, 10, 12
```

---

Sequence 2:

```
3, 6, 9, 12, _, 18, _, 24
```
- The numbers are increasing by 3 each time.
- Missing numbers:
- After 12: \(12 + 3 = 15\)
- After 18: \(18 + 3 = 21\)

So, the completed sequence is:
```
3, 6, 9, 12, 15, 18, 21, 24
```

---

Sequence 3:

```
4, _, 12, _, 20, 24, _, 32
```
- The numbers are increasing by 4 each time.
- Missing numbers:
- After 4: \(4 + 4 = 8\)
- After 12: \(12 + 4 = 16\)
- After 24: \(24 + 4 = 28\)

So, the completed sequence is:
```
4, 8, 12, 16, 20, 24, 28, 32
```

---

Sequence 4:

```
5, 10, _, 20, _, 30, 35, _
```
- The numbers are increasing by 5 each time.
- Missing numbers:
- After 10: \(10 + 5 = 15\)
- After 20: \(20 + 5 = 25\)
- After 35: \(35 + 5 = 40\)

So, the completed sequence is:
```
5, 10, 15, 20, 25, 30, 35, 40
```

---

Sequence 5:

```
_, _, 18, 24, 30, _, 42, 48
```
- The numbers are increasing by 6 each time.
- Missing numbers:
- Before 18: \(18 - 6 = 12\)
- Before 12: \(12 - 6 = 6\)
- After 30: \(30 + 6 = 36\)

So, the completed sequence is:
```
6, 12, 18, 24, 30, 36, 42, 48
```

---

Final Answer:

```
1. 2, 4, 6, 8, 10, 12
2. 3, 6, 9, 12, 15, 18, 21, 24
3. 4, 8, 12, 16, 20, 24, 28, 32
4. 5, 10, 15, 20, 25, 30, 35, 40
5. 6, 12, 18, 24, 30, 36, 42, 48
```

Thus, the final answer is:
\[
\boxed{8, 15, 8, 16, 25, 28, 40, 6, 12, 36}
\]