Number Patterns Worksheets - 15 Worksheets Library - Free Printable

Let's solve each of the multiplication number patterns step by step. The goal is to find the missing numbers in each sequence and write the pattern rule (how the numbers are increasing).

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1. Pattern: 10, 20, 40, 80, 160

- Rule: Multiply by 2
✔ Already given.

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2. Pattern: 11, 44, ____, ____, ____

Let’s look at the first two numbers:
- 11 → 44
- 44 ÷ 11 = 4 → So, multiply by 4

Now continue:
- 44 × 4 = 176
- 176 × 4 = 704
- 704 × 4 = 2816

✔ Pattern: 11, 44, 176, 704, 2816
✔ Rule: Multiply by 4

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3. Pattern: 5, 25, ____, ____, ____

- 5 → 25
- 25 ÷ 5 = 5 → Multiply by 5

Continue:
- 25 × 5 = 125
- 125 × 5 = 625
- 625 × 5 = 3125

✔ Pattern: 5, 25, 125, 625, 3125
✔ Rule: Multiply by 5

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4. Pattern: 12, 36, ____, ____, ____

- 12 → 36
- 36 ÷ 12 = 3 → Multiply by 3

Continue:
- 36 × 3 = 108
- 108 × 3 = 324
- 324 × 3 = 972

✔ Pattern: 12, 36, 108, 324, 972
✔ Rule: Multiply by 3

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5. Pattern: 25, 50, ____, ____, ____

- 25 → 50
- 50 ÷ 25 = 2 → Multiply by 2

Continue:
- 50 × 2 = 100
- 100 × 2 = 200
- 200 × 2 = 400

✔ Pattern: 25, 50, 100, 200, 400
✔ Rule: Multiply by 2

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6. Pattern: 11, 33, ____, ____, ____

- 11 → 33
- 33 ÷ 11 = 3 → Multiply by 3

Continue:
- 33 × 3 = 99
- 99 × 3 = 297
- 297 × 3 = 891

✔ Pattern: 11, 33, 99, 297, 891
✔ Rule: Multiply by 3

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7. Pattern: 12, 60, ____, ____, ____

- 12 → 60
- 60 ÷ 12 = 5 → Multiply by 5

Continue:
- 60 × 5 = 300
- 300 × 5 = 1500
- 1500 × 5 = 7500

✔ Pattern: 12, 60, 300, 1500, 7500
✔ Rule: Multiply by 5

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8. Pattern: 22, 44, ____, ____, ____

- 22 → 44
- 44 ÷ 22 = 2 → Multiply by 2

Continue:
- 44 × 2 = 88
- 88 × 2 = 176
- 176 × 2 = 352

✔ Pattern: 22, 44, 88, 176, 352
✔ Rule: Multiply by 2

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9. Pattern: 15, 45, ____, ____, ____

- 15 → 45
- 45 ÷ 15 = 3 → Multiply by 3

Continue:
- 45 × 3 = 135
- 135 × 3 = 405
- 405 × 3 = 1215

✔ Pattern: 15, 45, 135, 405, 1215
✔ Rule: Multiply by 3

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✔ Final Answers:

| Pattern | Rule |
|--------|------|
| 10, 20, 40, 80, 160 | Multiply by 2 |
| 11, 44, 176, 704, 2816 | Multiply by 4 |
| 5, 25, 125, 625, 3125 | Multiply by 5 |
| 12, 36, 108, 324, 972 | Multiply by 3 |
| 25, 50, 100, 200, 400 | Multiply by 2 |
| 11, 33, 99, 297, 891 | Multiply by 3 |
| 12, 60, 300, 1500, 7500 | Multiply by 5 |
| 22, 44, 88, 176, 352 | Multiply by 2 |
| 15, 45, 135, 405, 1215 | Multiply by 3 |

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