Mathcounts National Sprint Round Problems And Solutions !new! Jun 2026

Let’s count numbers with all digits non-zero (otherwise product=0 divisible by 8). So restrict to digits 1–9.

Because the National Competition is the highest level of the program, the problems are proprietary, but several sites host archives for practice: Official MATHCOUNTS Store Mathcounts Foundation Store is the only source for official, curated books like The All-Time Greatest MATHCOUNTS Problems The Most Challenging MATHCOUNTS Problems Solved . These include detailed, step-by-step solutions. Art of Problem Solving (AoPS) Wiki Mathcounts National Sprint Round Problems And Solutions

While MATHCOUNTS releases current school, chapter, and state-level problems for free, National Competition Let’s count numbers with all digits non-zero (otherwise