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
45 - 39 = 6
51 - 45 = 6
57 - 51 = 6

✔ Pattern: Add 6 each time.

- Next two numbers:
57 + 6 = 63
63 + 6 = 69

✔ 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
49 - 54 = -5
44 - 49 = -5
39 - 44 = -5

✔ Pattern: Subtract 5 each time.

- Next two numbers:
39 - 5 = 34
34 - 5 = 29

✔ 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
43 - 52 = -9
34 - 43 = -9
25 - 34 = -9

✔ Pattern: Subtract 9 each time.

- Next two numbers:
25 - 9 = 16
16 - 9 = 7

✔ Answer: 16, 7 → Subtract 9

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

- Differences:
74 - 83 = -9
65 - 74 = -9
56 - 65 = -9
47 - 56 = -9
38 - 47 = -9
29 - 38 = -9

✔ Pattern: Subtract 9 each time.

- Next two numbers:
29 - 9 = 20
20 - 9 = 11

✔ Answer: 20, 11 → Subtract 9

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

- Differences:
70 - 77 = -7
63 - 70 = -7
56 - 63 = -7
49 - 56 = -7
42 - 49 = -7
35 - 42 = -7

✔ Pattern: Subtract 7 each time.

- Next two numbers:
35 - 7 = 28
28 - 7 = 21

✔ Answer: 28, 21 → Subtract 7

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

- Differences:
35 - 30 = 5
40 - 35 = 5
45 - 40 = 5
50 - 45 = 5
55 - 50 = 5
60 - 55 = 5

✔ Pattern: Add 5 each time.

- Next two numbers:
60 + 5 = 65
65 + 5 = 70

✔ Answer: 65, 70 → Add 5

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

- Differences:
46 - 44 = 2
48 - 46 = 2
50 - 48 = 2
52 - 50 = 2
54 - 52 = 2

✔ Pattern: Add 2 each time.

- Next two numbers:
54 + 2 = 56
56 + 2 = 58

✔ Answer: 56, 58 → Add 2

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

- Differences:
78 - 85 = -7
71 - 78 = -7
64 - 71 = -7
57 - 64 = -7
50 - 57 = -7
43 - 50 = -7

✔ Pattern: Subtract 7 each time.

- Next two numbers:
43 - 7 = 36
36 - 7 = 29

✔ Answer: 36, 29 → Subtract 7

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

- Differences:
26 - 20 = 6
32 - 26 = 6
38 - 32 = 6
44 - 38 = 6
50 - 44 = 6
56 - 50 = 6

✔ Pattern: Add 6 each time.

- Next two numbers:
56 + 6 = 62
62 + 6 = 68

✔ Answer: 62, 68 → Add 6

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

- Differences:
61 - 64 = -3
58 - 61 = -3
55 - 58 = -3
52 - 55 = -3
49 - 52 = -3
46 - 49 = -3

✔ Pattern: Subtract 3 each time.

- Next two numbers:
46 - 3 = 43
43 - 3 = 40

✔ Answer: 43, 40 → Subtract 3

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✔ Final Answers:

| Problem | Next Two Numbers | Pattern Rule |
|--------|------------------|--------------|
| 1) | 63, 69 | Add 6 |
| 2) | 34, 29 | Subtract 5 |
| 3) | 16, 7 | Subtract 9 |
| 4) | 20, 11 | Subtract 9 |
| 5) | 28, 21 | Subtract 7 |
| 6) | 65, 70 | Add 5 |
| 7) | 56, 58 | Add 2 |
| 8) | 36, 29 | Subtract 7 |
| 9) | 62, 68 | Add 6 |
| 10) | 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 copying.