Ch-1 Color transformations
Ch-2 Induction
Ch-3 Rook polynomials
Ch-4 Rotating decimals
Ch-5 Regular closed linkages
Ch-6 Factorial polynomials
Ch-7 Integer geometry
Ch-8 Unit fractions
Ch-9 Chromatic polynomials
Ch-10 Twenty-five point affine geometry
Ch-11 Square-sum partitions
Ch-12 Slides, rolls, and rolides
Ch-13 Pythagorean triples
Ch-14 Cevians
Ch-15 Insane tic-tac-toe
Ch-16 Three addition problems
Ch-17 Number theoretic functions
Ch-18 Errors in mathematical reasoning
Ch-19 Mathematical strings
Ch-20 Right triangular inscribings
Ch-21 Algebra of electrical circuitry
Ch-22 Triangular trigonometry
Ch-23 Electing a candidate
Ch-24 Three’s a charm!
Ch-25 The stretch method
Ch-26 Random walks in trees
Ch-27 Mathematical billiards
Ch-28 The game of Yahtzee
Ch-29 Basimal fractions
Ch-30 Slitherlinks
Ch-31 Drawing ellipses
Ch-32 Deltorials
Ch-33 A geometry with straight and curved lines
Ch-34 Number puzzles
Ch-35 The power(s) of Fibonacci
Ch-36 Brahmagupta’s cyclic quadrilaterals
Ch-37 Rational trigonometry

The ARML (American Regions Math League) Power Contest is truly a unique competition in which a team of students is judged on its ability to discover a pattern, express the pattern in precise mathematical language, and provide a logical proof of its conjectures. Just as a team of students can be self-directed to solve each problem set, a teacher, math team coach, or math circle leader could take these ideas and questions and lead students into problem solving and mathematical discovery.