Let's solve each number line step by step to find the missing numbers. We'll look for patterns in the sequences, such as consistent differences between numbers.
---
1. First Number Line:
```
16 14 12 [ ] [ ] 6 [ ]
```
- The sequence decreases by 2:
16 → 14 → 12 → ? → ? → 6 → ?
- So:
- After 12: 10
- Then: 8
- Then: 6 (already given)
- After 6: 4
✔ Missing numbers:
10, 8, 4
---
2. Second Number Line:
```
12 [ ] [ ] 6 4 [ ] [ ]
```
- From 12 to 6 is a decrease of 6 over 3 steps → difference of -2 per step.
- Let's check:
- 12 → 10 → 8 → 6 → 4 → 2 → 0
- So:
- After 12: 10
- Then: 8
- Then: 6 (given)
- Then: 4 (given)
- Then: 2
- Then: 0
✔ Missing numbers:
10, 8, 2, 0
---
3. Third Number Line:
```
9 [ ] [ ] [ ] [ ] [ ] 3
```
- From 9 to 3: difference of -6 over 6 steps → total of 6 intervals → so difference per step = -1
- So it’s counting down by 1:
- 9 → 8 → 7 → 6 → 5 → 4 → 3
✔ Missing numbers:
8, 7, 6, 5, 4
---
4. Fourth Number Line:
```
17 15 13 [ ] [ ] [ ] [ ]
```
- Decreasing by 2: 17 → 15 → 13 → ?
- So:
- 11, 9, 7, 5
✔ Missing numbers:
11, 9, 7, 5
---
5. Fifth Number Line:
```
18 15 12 9 [ ] [ ] [ ]
```
- Decreasing by 3: 18 → 15 → 12 → 9 → ?
- So:
- 6, 3, 0
✔ Missing numbers:
6, 3, 0
---
6. Sixth Number Line:
```
18 [ ] [ ] [ ] [ ] 8 6
```
- From 18 to 8 is a drop of 10 over 5 steps → but there are 4 blanks between 18 and 8, then 8 → 6 (difference of -2).
- Let's see: from 18 to 8 is 10 units over 5 intervals → difference per step = -2
- So:
- 18 → 16 → 14 → 12 → 10 → 8 → 6
✔ Missing numbers:
16, 14, 12, 10
---
7. Seventh Number Line:
```
[ ] [ ] [ ] [ ] [ ] 10 8
```
- Last two numbers: 10 → 8 → difference of -2
- So pattern is decreasing by 2
- Work backwards:
- Before 10: 12
- Before 12: 14
- Before 14: 16
- Before 16: 18
- Before 18: 20
So full sequence:
20, 18, 16, 14, 12, 10, 8
✔ Missing numbers:
20, 18, 16, 14, 12
---
8. Eighth Number Line:
```
19 17 [ ] [ ] [ ] [ ] 7
```
- 19 → 17: difference of -2
- So likely decreasing by 2
- Continue:
- 19 → 17 → 15 → 13 → 11 → 9 → 7
✔ Missing numbers:
15, 13, 11, 9
---
✔ Final Answers:
1.
10, 8, 4
2.
10, 8, 2, 0
3.
8, 7, 6, 5, 4
4.
11, 9, 7, 5
5.
6, 3, 0
6.
16, 14, 12, 10
7.
20, 18, 16, 14, 12
8.
15, 13, 11, 9
---
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of patterns on number line worksheet.
