Review — Difficulty 10/10

Number theory · Diophantine equations and cryptography

Review skills for this standard. Write answers where shown.

Together with a parent

1. How many subsets does a set with 16 elements have? ___ 2. Prove or disprove: if n is even, n² is even. 3. P(at least one head in 15 fair tosses) = ___

Written review

1. How many subsets does a set with 18 elements have? ___ 2. Prove or disprove: if n is even, n² is even. 3. P(at least one head in 17 fair tosses) = ___ 4. Write the recurrence aₙ = 17aₙ₋₁ with a₀ = 1 ___ 5. Graph with 19 vertices — minimum edges for connectivity? ___ 6. Convert 57₁₀ to base 18. = ___

_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 Diophantine equations and cryptography without prompts

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