What is 12.5% of 328?

Because there is no penalty for guessing, students should never leave a blank space on their answer sheet when time expires. However, the strict time constraint allows for an average of just . Since the questions scale sharply in difficulty from Problem 1 to Problem 30, managing your clock is just as important as knowing the math. Core Mathematical Themes Tested

Identifying a hidden pattern or a simpler way to model the problem.

Strategy: Always look for factoring patterns before brute force.

The foundation provides free downloads of recent School, Chapter, and State level competitions, including full solutions. While National level problems are usually sold in print collections, they occasionally release sample sets or question analyses for recent national rounds.

Primes greater than 7 (such as 11, 13, 17, and 19) will only appear with an exponent of 1 in 20!, meaning their squares cannot divide it. To maximize n such that , we take half of each even exponent to construct n:

Algebraic problems on the national stage frequently involve multi-variable systems, non-linear equations, and complex roots of polynomials. You will also encounter telescoping series, arithmetic-geometric progressions, and functional equations. 4. Competitive Geometry

Power of 2 in each digit: 1(0),2(1),3(0),4(2),5(0),6(1),7(0),8(3),9(0).