Number Patterns Worksheets - Free Printable

Let's solve each number pattern step by step. For each sequence, we'll:

1. Identify the pattern (e.g., adding/subtracting a number, alternating operations, etc.).
2. Extend the sequence by finding the next two numbers.
3. State the rule clearly.

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1) 21, 27, 33, 39, 45, 51, 57

- Differences:
27 - 21 = 6
33 - 27 = 6
39 - 33 = 6
→ Pattern: +6 each time
- Next two numbers:
57 + 6 = 63
63 + 6 = 69
- Rule: Add 6

✔ Answer: 63, 69 — Add 6

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2) 69, 64, 59, 54, 49, 44, 39

- Differences:
64 - 69 = -5
59 - 64 = -5
54 - 59 = -5
→ Pattern: -5 each time
- Next two numbers:
39 - 5 = 34
34 - 5 = 29
- Rule: Subtract 5

✔ Answer: 34, 29 — Subtract 5

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3) 79, 70, 61, 52, 43, 34, 25

- Differences:
70 - 79 = -9
61 - 70 = -9
52 - 61 = -9
→ Pattern: -9 each time
- Next two numbers:
25 - 9 = 16
16 - 9 = 7
- Rule: Subtract 9

✔ Answer: 16, 7 — Subtract 9

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4) 83, 74, 65, 56, 47, 38, 29

- Differences:
74 - 83 = -9
65 - 74 = -9
→ Pattern: -9 each time
- Next two numbers:
29 - 9 = 20
20 - 9 = 11
- Rule: Subtract 9

✔ Answer: 20, 11 — Subtract 9

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5) 77, 70, 63, 56, 49, 42, 35

- Differences:
70 - 77 = -7
63 - 70 = -7
→ Pattern: -7 each time
- Next two numbers:
35 - 7 = 28
28 - 7 = 21
- Rule: Subtract 7

✔ Answer: 28, 21 — Subtract 7

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6) 30, 35, 40, 45, 50, 55, 60

- Differences:
35 - 30 = 5
40 - 35 = 5
→ Pattern: +5 each time
- Next two numbers:
60 + 5 = 65
65 + 5 = 70
- Rule: Add 5

✔ Answer: 65, 70 — Add 5

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7) 44, 46, 48, 50, 52, 54

- Differences:
46 - 44 = 2
48 - 46 = 2
→ Pattern: +2 each time
- Next two numbers:
54 + 2 = 56
56 + 2 = 58
- Rule: Add 2

✔ Answer: 56, 58 — Add 2

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8) 85, 78, 71, 64, 57, 50, 43

- Differences:
78 - 85 = -7
71 - 78 = -7
→ Pattern: -7 each time
- Next two numbers:
43 - 7 = 36
36 - 7 = 29
- Rule: Subtract 7

✔ Answer: 36, 29 — Subtract 7

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9) 20, 26, 32, 38, 44, 50, 56

- Differences:
26 - 20 = 6
32 - 26 = 6
→ Pattern: +6 each time
- Next two numbers:
56 + 6 = 62
62 + 6 = 68
- Rule: Add 6

✔ Answer: 62, 68 — Add 6

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10) 64, 61, 58, 55, 52, 49, 46

- Differences:
61 - 64 = -3
58 - 61 = -3
→ Pattern: -3 each time
- Next two numbers:
46 - 3 = 43
43 - 3 = 40
- Rule: Subtract 3

✔ Answer: 43, 40 — Subtract 3

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✔ Final Answers:

| # | Sequence | Next Two Numbers | Rule |
|---|---------|------------------|------|
| 1 | 21, 27, 33, 39, 45, 51, 57 | 63, 69 | Add 6 |
| 2 | 69, 64, 59, 54, 49, 44, 39 | 34, 29 | Subtract 5 |
| 3 | 79, 70, 61, 52, 43, 34, 25 | 16, 7 | Subtract 9 |
| 4 | 83, 74, 65, 56, 47, 38, 29 | 20, 11 | Subtract 9 |
| 5 | 77, 70, 63, 56, 49, 42, 35 | 28, 21 | Subtract 7 |
| 6 | 30, 35, 40, 45, 50, 55, 60 | 65, 70 | Add 5 |
| 7 | 44, 46, 48, 50, 52, 54 | 56, 58 | Add 2 |
| 8 | 85, 78, 71, 64, 57, 50, 43 | 36, 29 | Subtract 7 |
| 9 | 20, 26, 32, 38, 44, 50, 56 | 62, 68 | Add 6 |
|10 | 64, 61, 58, 55, 52, 49, 46 | 43, 40 | Subtract 3 |

You can now fill these in on the worksheet! Let me know if you'd like this formatted for printing or as a downloadable file.