In trapezoid ABCD, AB∥CD, AB=10, CD=6, height=4. Find area of triangle formed by diagonals intersection and vertices? But typical: Find distance between midpoints of diagonals. Solution: The segment connecting midpoints of diagonals = (AB-CD)/2 = (10-6)/2 = 2.

MATHCOUNTS National Sprint Round is the individual portion of the National Competition consisting of 30 problems that must be completed in 40 minutes

Introductory level, covering foundational arithmetic, simple geometry, and basic probability (e.g., finding a median or a simple average).

(\fraca+bab = \frac317 \Rightarrow 17(a+b) = 3ab). Solve for one variable: (17a + 17b = 3ab \Rightarrow 17a = 3ab - 17b = b(3a - 17) \Rightarrow b = \frac17a3a-17).