Let's solve each part of this
Number Patterns worksheet step by step.
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Part 1: Write the next number in each pattern. Then write the rule for the pattern.
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1. 5, 10, 15, 20, 25, ____
- Look at the differences:
- 10 – 5 = 5
- 15 – 10 = 5
- 20 – 15 = 5
- 25 – 20 = 5
- The pattern increases by
+5.
- Next number:
25 + 5 = 30
-
Rule: Add 5
✔ Answer: 30, Rule: Add 5
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2. 3, 6, 9, 12, 15, ____
- Differences:
- 6 – 3 = 3
- 9 – 6 = 3
- 12 – 9 = 3
- 15 – 12 = 3
- Increases by
+3
- Next number:
15 + 3 = 18
-
Rule: Add 3
✔ Answer: 18, Rule: Add 3
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####
3. 36, 30, 24, 18, 12, ____
- Differences:
- 30 – 36 = -6
- 24 – 30 = -6
- 18 – 24 = -6
- 12 – 18 = -6
- Decreases by
-6
- Next number:
12 – 6 = 6
-
Rule: Subtract 6
✔ Answer: 6, Rule: Subtract 6
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####
4. 7, 14, 21, 28, 35, ____
- Differences:
- 14 – 7 = 7
- 21 – 14 = 7
- 28 – 21 = 7
- 35 – 28 = 7
- Increases by
+7
- Next number:
35 + 7 = 42
-
Rule: Add 7
✔ Answer: 42, Rule: Add 7
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####
5. 20, 16, 12, 8, 4, ____
- Differences:
- 16 – 20 = -4
- 12 – 16 = -4
- 8 – 12 = -4
- 4 – 8 = -4
- Decreases by
-4
- Next number:
4 – 4 = 0
-
Rule: Subtract 4
✔ Answer: 0, Rule: Subtract 4
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####
6. 6, 12, 18, 24, 30, ____
- Differences:
- 12 – 6 = 6
- 18 – 12 = 6
- 24 – 18 = 6
- 30 – 24 = 6
- Increases by
+6
- Next number:
30 + 6 = 36
-
Rule: Add 6
✔ Answer: 36, Rule: Add 6
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Part 2: Continue each pattern according to its rule.
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7. Rule: Add 9
- Start with:
0
- Pattern: 0, 9, 18, 27, 36, ...
- Each time add 9.
- So:
0, 9, 18, 27, 36, 45, ...
✔ Answer: 0, 9, 18, 27, 36, 45
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####
8. Rule: Subtract 3
- Start with:
27
- Pattern: 27, 24, 21, 18, 15, ...
- Each time subtract 3.
- So:
27, 24, 21, 18, 15, 12, ...
✔ Answer: 27, 24, 21, 18, 15, 12
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####
9. Rule: Add 8
- Start with:
0
- Pattern: 0, 8, 16, 24, 32, ...
- Each time add 8.
- So:
0, 8, 16, 24, 32, 40, ...
✔ Answer: 0, 8, 16, 24, 32, 40
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✔ Final Answers:
| # | Next Number | Rule |
|---|-------------|------|
| 1 | 30 | Add 5 |
| 2 | 18 | Add 3 |
| 3 | 6 | Subtract 6 |
| 4 | 42 | Add 7 |
| 5 | 0 | Subtract 4 |
| 6 | 36 | Add 6 |
Continued patterns:
7.
0, 9, 18, 27, 36, 45
8.
27, 24, 21, 18, 15, 12
9.
0, 8, 16, 24, 32, 40
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Parent Tip: Review the logic above to help your child master the concept of picture pattern worksheet for 4th.
