Let's solve each pattern step by step and explain the reasoning behind each one.
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1. [5] [6] [ ] [8] [9] [ ] [11] [ ]
Look at the sequence:
5, 6, _, 8, 9, _, 11, _
We see that numbers increase by 1:
- 5 → 6 → (7) → 8 → 9 → (10) → 11 → (12)
So the missing numbers are:
7, 10, 12
✔ Answer:
7, 10, 12
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2. [3] [6] [ ] [ ] [15] [18] [21] [ ]
Sequence: 3, 6, _, _, 15, 18, 21, _
This increases by
3 each time:
- 3 → 6 → 9 → 12 → 15 → 18 → 21 → 24
So missing numbers:
9, 12, 24
✔ Answer:
9, 12, 24
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3. [ ] [10] [15] [ ] [25] [ ] [35] [ ]
Sequence: _, 10, 15, _, 25, _, 35, _
Check the pattern:
- 10 to 15 = +5
- So likely increasing by 5 each time.
Then:
- Before 10: 10 - 5 =
5
- After 15: 15 + 5 =
20
- After 25: 25 + 5 =
30
- After 35: 35 + 5 =
40
Sequence: 5, 10, 15, 20, 25, 30, 35, 40
✔ Answer:
5, 20, 30, 40
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4. [ ] [ ] [6] [8] [ ] [12] [ ] [16]
Sequence: _, _, 6, 8, _, 12, _, 16
Looks like increasing by 2:
- 6 → 8 → 10 → 12 → 14 → 16
So fill in:
- Before 6: 4, then 2
- After 8: 10
- After 12: 14
Sequence: 2, 4, 6, 8, 10, 12, 14, 16
✔ Answer:
2, 4, 10, 14
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5. [37] [ ] [ ] [40] [ ] [42] [43] [ ]
Sequence: 37, _, _, 40, _, 42, 43, _
Look at known values:
- 37 → 40 → 42 → 43
From 37 to 40 is +3, so maybe adding 1 each time?
But let’s check gaps:
Try increasing by 1:
- 37 → 38 → 39 → 40 → 41 → 42 → 43 → 44
Yes! That fits perfectly.
So missing:
- After 37: 38, 39
- After 40: 41
- After 43: 44
✔ Answer:
38, 39, 41, 44
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6. [ ] [26] [25] [ ] [ ] [22] [21] [ ]
Sequence: _, 26, 25, _, _, 22, 21, _
Look at the numbers: decreasing?
- 26 → 25 → ? → ? → 22 → 21 → ?
So likely decreasing by 1.
But from 26 to 25 is –1, then next should be 24, 23, 22, 21, 20
So:
- Before 26: 27 (since it goes 27 → 26 → 25 → ...)
- Then: 24, 23
- After 21: 20
Sequence: 27, 26, 25, 24, 23, 22, 21, 20
✔ Answer:
27, 24, 23, 20
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7. [10] [12] [ ] [ ] [18] [ ] [22] [ ]
Sequence: 10, 12, _, _, 18, _, 22, _
Increasing?
10 → 12 = +2
Assume +2 each time:
- 10 → 12 → 14 → 16 → 18 → 20 → 22 → 24
So missing:
- After 12: 14, 16
- After 18: 20
- After 22: 24
✔ Answer:
14, 16, 20, 24
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8. [49] [ ] [47] [ ] [45] [ ] [43] [ ]
Sequence: 49, _, 47, _, 45, _, 43, _
Decreasing by 2 each time?
49 → 47 → 45 → 43 → ...
So:
- Between 49 and 47: 48
- Between 47 and 45: 46
- Between 45 and 43: 44
- After 43: 42
So pattern: 49, 48, 47, 46, 45, 44, 43, 42
✔ Answer:
48, 46, 44, 42
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✔ Final Answers:
1.
7, 10, 12
2.
9, 12, 24
3.
5, 20, 30, 40
4.
2, 4, 10, 14
5.
38, 39, 41, 44
6.
27, 24, 23, 20
7.
14, 16, 20, 24
8.
48, 46, 44, 42
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Parent Tip: Review the logic above to help your child master the concept of patterns worksheet 1st grade.