Mathcounts National Sprint Round Problems And Solutions |verified| May 2026

The Mysterious Sprint Round

Sprint Round structure and scoring

• 40 questions, 30 minutes (45 seconds average per question).
• No calculators allowed.
• Questions 1–10: typically straightforward, testing fundamentals.
• Questions 11–30: intermediate difficulty, require multi-step reasoning.
• Questions 31–40: hardest; often require creative insights or elegant shortcuts.
• Each correct answer earns 1 point; no partial credit.

Now multiply by C-counts:
S=9: 9 pairs × 2 C = 18 numbers.
S=18: 1 pair × 2 C = 2 numbers.
Other S (1..8,10..17): total pairs = 90-9-1=80 pairs, each ×1 C = 80 numbers.
Total = 18+2+80 = 100. Mathcounts National Sprint Round Problems And Solutions

Resources for Practice

To excel at the National Sprint Round, students should utilize past competitions. The problems are consistently styled year over year. The Mysterious Sprint Round Sprint Round structure and

Solution: The sum of the interior angles of a triangle is always $180^\circ$. 40 questions, 30 minutes (45 seconds average per question)

Problem 1 (Easy–Medium)

✅ Answer: (108)
(This level is straightforward but punishes careless arithmetic.)

Strategy: For “without replacement” probability, multiply successive fractions carefully, then simplify at the end.