The 2007 Sprint Round sits in a : difficult enough to challenge advanced 7th graders, but not so esoteric that it requires calculus. This is why the solutions zip remains popular over 15 years later.
The following are representative problems and their solutions from the 2007 school competition: For a triangle ABCcap A cap B cap C are midpoints of sides ABcap A cap B ACcap A cap C BCcap B cap C measures 6 inches, the measure of segment DEcap D cap E is 3 inches (based on the Triangle Midsegment Theorem).
If you are a registered MATHCOUNTS coach, check the official "Coach’s Portal" for back issues. Alternatively, the AoPS Community has legally shared, user-typed solutions for the 2007 Sprint Round in their forums.
The 2007 School Competition materials are archived on various platforms: 2007School.pdf (Full Competition) : This document on Course Hero
The solutions inside the zip often show —the brute force method and the elegant shortcut. For example, a problem about summing consecutive integers might show the formula n(n+1)/2 vs. writing out all terms. Memorize the shortcut.
The least positive integer divisible by the four smallest odd positive integers (1, 3, 5, and 7) is 105 .
Open the solutions PDF only after the timer ends. For each wrong or skipped problem: