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Number Patterns Exploration Worksheet
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Number Patterns Exploration Worksheet
📚 Part 1: Quick Recognition (Multiples, Divisibility)
1. Which number is NOT a multiple of 3?
27
42
55
81
2. Which of these numbers are divisible by 5? (Choose all that apply)
20
34
75
101
3. Which number shows the same digit repeated?
33
147
209
860
4. Which list contains only even numbers?
12, 24, 36
15, 30, 45
22, 33, 44
7, 14, 21
✏️ Part 2: Sorting & Explain Patterns
5. Sort the mixed group into three sets. Label each set and write which numbers belong in it. Mixed group: 2, 3, 4, 6, 8, 9, 12, 16, 18, 24
Set A — Powers of 2:
Set B — Multiples of 3:
Set C — Numbers that are both, or neither (write which):
Explain in one or two sentences what makes each set unique (mention factors, common difference or repeated digits if helpful):
6. Sort this mixed group into two sets: "Repeated digits" and "Palindromes". Mixed group: 11, 22, 33, 44, 55, 121, 131, 242
Repeated digits (write numbers):
Palindromes (write numbers):
Briefly explain the rule for each set (why each number fits):
7. Identify the rule (use subtraction or division) for each sequence and write the next two terms. Show working.
Sequence A: 81, 27, 9, 3, ...
Sequence B: 50, 45, 40, 35, ...
🧠 Part 3: Create & Justify (Challenge)
8. Create a mixed group of 8 whole numbers that can be sorted into at least two meaningful sets (for example by common factor, common difference, or repeated digits). Write your 8 numbers here:
List Set 1 and explain its rule (use division or subtraction to justify):
List Set 2 and explain its rule (use division or subtraction to justify):
9. Reflection: Which sorting rule did you find hardest to justify? Why?
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