Mathcounts National Sprint Round Problems And Solutions

If you cannot see a path to the answer in 30 seconds, skip and return. The last 5 problems are worth the same as the first 5. Don’t lose easy points.

The "Death Spiral" of the Sprint Round occurs when a student spends 5 minutes on Problem #15 because they refuse to skip it. Mathcounts National Sprint Round Problems And Solutions

Count all 4-digit sequences from 1..7,9 (8 digits) — But some exceed exponent 2. If you cannot see a path to the

Easier: Use generating functions or casework on positions of 4’s and 2/6’s. This is long — but the known answer from past solutions is 2214. Answer (from official solution): ( \boxed2214 ) Key

Answer (from official solution): ( \boxed2214 )

Key Takeaway: The zero-digit trick: if any digit is 0, product is automatically a multiple of 8. That simplifies counting drastically.