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Number Pattern Rules

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Number Pattern Rules worksheet preview

Number Pattern Rules

Number patterns illustration

🔍 Part 1: Pattern Detective - Find the Rules

Instructions: Look at each number pattern carefully. Work out what the rule is, then write the next three numbers.

1. Pattern: 3, 6, 9, 12, 15, _____, _____, _____

The rule is: ________________________________________________

2. Pattern: 1, 3, 5, 7, 9, 11, 13 , _____, _____, _____

The rule is: ________________________________________________

3. Pattern: 2, 4, 8, 16, 32, _____, _____, _____

The rule is: ________________________________________________

4. Pattern: 50, 45, 40, 35, 30, _____, _____, _____

The rule is: ________________________________________________

5. Pattern: 1, 3, 2, 4, 3, 5, 4, _____, _____, _____

The rule is: ________________________________________________

📊 Part 2: Pattern Tables

Instructions: Complete the tables and describe the pattern rule in your own words.

5. Complete this pattern table:

Position: 1, 2, 3, 4, 5, 6

Number: 7, 10, 13, 16, _____, _____

Explain the rule in your own words:

6. Complete this pattern table:

Position: 1, 2, 3, 4, 5, 6

Number: 5, 10, 20, 40, _____, _____

Explain the rule in your own words:

✏️ Part 3: Create and Explain

7. Look at this pattern: 100, 90, 80, 70, 60, _____, _____, _____

a) Fill in the next three numbers: _____, _____, _____

b) What would the 10th number in this pattern be? _____

c) Explain how you worked out your answer:

8. Create your own number pattern using the rule "multiply by 2, then add 1"

Start with 3: 3, _____, _____, _____, _____, _____

9. Challenge: Can you write this rule using letters?

Pattern: 4, 7, 10, 13, 16...

If the position number is n, then the pattern number is: _____________

10. Draw or use a table to show how you would explain one of these patterns to a friend:

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