Review — Difficulty 7/10

Number theory · Divisibility and congruences

Review skills for this standard. Write answers where shown.

Together with a parent

1. How many subsets does a set with 13 elements have? ___ 2. Prove or disprove: if n is even, n² is even. 3. P(at least one head in 12 fair tosses) = ___

Written review

1. How many subsets does a set with 15 elements have? ___ 2. Prove or disprove: if n is even, n² is even. 3. P(at least one head in 14 fair tosses) = ___ 4. Write the recurrence aₙ = 14aₙ₋₁ with a₀ = 1 ___ 5. Graph with 16 vertices — minimum edges for connectivity? ___ 6. Convert 54₁₀ to base 15. = ___

_See printable PDF for diagram._

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Skills checklist

• [ ] Applies counting principles correctly
• [ ] Writes structured proofs
• [ ] Models problems with graphs or recurrences
• [ ] Explains Divisibility and congruences without prompts

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