You're working on a
Number Patterns worksheet. Let’s solve each problem step by step and explain the reasoning.
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## 🔢 Section 1: Write the next number in each pattern. Then write the rule.
1. 5, 10, 15, 20, 25, ___
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Pattern: Each number increases by 5.
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Next number: 25 + 5 =
30
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Rule: Add 5
✔ Answer:
Next number: 30
Rule: Add 5
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2. 3, 6, 9, 12, 15, ___
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Pattern: Adding 3 each time (multiples of 3).
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Next number: 15 + 3 =
18
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Rule: Add 3
✔ Answer:
Next number: 18
Rule: Add 3
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3. 36, 30, 24, 18, 12, ___
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Pattern: Subtracting 6 each time.
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Next number: 12 - 6 =
6
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Rule: Subtract 6
✔ Answer:
Next number: 6
Rule: Subtract 6
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4. 7, 14, 21, 28, 35, ___
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Pattern: Multiples of 7 → add 7 each time.
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Next number: 35 + 7 =
42
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Rule: Add 7
✔ Answer:
Next number: 42
Rule: Add 7
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5. 20, 16, 12, 8, 4, ___
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Pattern: Subtracting 4 each time.
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Next number: 4 - 4 =
0
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Rule: Subtract 4
✔ Answer:
Next number: 0
Rule: Subtract 4
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6. 6, 12, 18, 24, 30, ___
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Pattern: Multiples of 6 → add 6 each time.
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Next number: 30 + 6 =
36
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Rule: Add 6
✔ Answer:
Next number: 36
Rule: Add 6
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## 🔄 Section 2: Continue each pattern according to its rule.
7. Rule: Add 9
Given: 0, 9, ___, ___, ___, ___
- Start at 0 → +9 = 9
- 9 + 9 =
18
- 18 + 9 =
27
- 27 + 9 =
36
- 36 + 9 =
45
✔ Answer:
0, 9, 18, 27, 36, 45
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8. Rule: Subtract 3
Given: 27, 24, ___, ___, ___, ___
- 24 - 3 =
21
- 21 - 3 =
18
- 18 - 3 =
15
- 15 - 3 =
12
✔ Answer:
27, 24, 21, 18, 15, 12
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9. Rule: Add 8
Given: 0, ___, ___, ___, ___, ___
- 0 + 8 =
8
- 8 + 8 =
16
- 16 + 8 =
24
- 24 + 8 =
32
- 32 + 8 =
40
✔ Answer:
0, 8, 16, 24, 32, 40
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##
✔ Final Answers Summary:
Section 1:
1.
30 — Rule: Add 5
2.
18 — Rule: Add 3
3.
6 — Rule: Subtract 6
4.
42 — Rule: Add 7
5.
0 — Rule: Subtract 4
6.
36 — Rule: Add 6
Section 2:
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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💡
Tip: Always check the difference between consecutive numbers to find the rule — whether it's adding or subtracting a constant. For multiplication patterns, you might see doubling or tripling, but here all are simple arithmetic sequences.
Let me know if you’d like this turned into a printable answer sheet! 😊
Parent Tip: Review the logic above to help your child master the concept of math patterns worksheet grade 4.
