Here are examples of the type of problems found on the National Sprint Round, demonstrating the logic needed to solve them. Problem 1: Number Theory (Advanced)
What is 12.5% of 328?
a3+b3+c3−15=6×3a cubed plus b cubed plus c cubed minus 15 equals 6 cross 3 Mathcounts National Sprint Round Problems And Solutions
k=Height of △ADEHeight of △ABC=412=13k equals the fraction with numerator Height of triangle cap A cap D cap E and denominator Height of triangle cap A cap B cap C end-fraction equals 4 over 12 end-fraction equals one-third Because the triangles are similar, the base DEcap D cap E relates to the base BCcap B cap C by this same scale factor: Here are examples of the type of problems
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