Mathcounts National Sprint Round Problems And Solutions Updated -

page provides samples and recent year chapter/state rounds. National rounds are typically not released for free on the official site. AoPS Wiki: Art of Problem Solving

What is the value of ( 25^2 - 24^2 )?

✅ (40)

Hidden nuance: A prime number can be the product of 1 and itself, but here ((n+2)(n+7)) is symmetric. If one factor is prime and the other is 1, we already tried. What if one factor is -1 and the other is negative prime? That would give a positive product. Example: (n+2 = -1) → (n=-3) (no). So indeed, no positive (n) works. But the problem exists, so I must have recalled incorrectly. Let’s adjust: A known real problem asks: “Find sum of all integers n such that (n^2+9n+14) is prime.” Answer often is 0 because none exist. But competition problems avoid empty sets. Mathcounts National Sprint Round Problems And Solutions

to simplify the equations into a solvable linear system. The final result for this specific problem is 94 over 3 end-fraction Coordinate Geometry (Problem #29): page provides samples and recent year chapter/state rounds

If the answer is a fraction, reduce it. If it’s a geometric area, leave as simplified fraction — they rarely want decimals. ✅ (40) Hidden nuance: A prime number can