Problem Sets
Below you will find some problem sets from previous Julia Robinson Mathematics Festivals.

The difficulty column tells you what range of difficulties you'll find in each activity. Level 1 should be accessible to a typical 6th grader, perhaps with some discussion with a mathematically competent adult. Level 3 is for very strong middle school students, or high school students with some problem solving experience. Level 5 is probably challenging enough for the activity's authors, and may include some unsolved problems.
Difficulty
Name Topic Years 1 2 3 4 5
Area 2007, 2008, 2009 * * *
Bayes' theorem, probability, judgement 2007 * *
Area, volume, binary, optimization 2008, 2009 * * * * *
Counting, probability, ratio, lattice points Demo * * * *
Counting, infinity 2008 * * *
Counting, recursion 2008, 2009 * * * * *
Symmetry, patterns, patience 2009 * * *
Coloring, counting, cutting 2008 * * *
Counting, patterns, geometry 2007, 2008 * * *
Graph theory, Euler's formula 2007, 2008 * * *
Patterns, lines, planes, space 2009 * * * *
Counting, factorial, Pascal's Triangle, statistics 2007 * * * *
Subtraction, patterns, parity 2007, 2009 * * * * *
Addition, linear equations, integers 2007 * * * *
Geometry, area, cutting, 3D 2009 * * *
Game theory 2007 * * * *
Tiling, recursion, counting, 3D 2009 * * *
Fractions, primes, common factors, remainders 2007 * * * *
Probability 2009 * * * *
Probability, counting, recursion, Markov 2007 * * *
Recursion, patterns, fractals, turing machines 2008, 2009 * * *
Fractals, hands-on, dimension, geometry 2009 * * *
Algebra, composing functions, maximization 2008, 2009 * *
Recursion, patterns, computer science 2009 * * * *
Recursion, combinatorics 2009 * * * *
Recursion, series, limits, probability, Markov chains 2008, 2009 * *
Factors, primes, inverses 2007 * * * * *
Area, fractions, infinite series 2007, 2008 * * *
Symmetry, game theory 2009 * * *
Primes, perfect squares, addition, arrangements 2009 * * *
Area, lattice polygons, pattern 2007 * *
Logic 2007 * * *
Probability, expected value, logic, patterns 2009 * * * *
Geometry 2008 * * *
Graph theory 2007 * * *
Game theory 2007, 2008 * * *
Geometry, circle, tangents 2007 * *
Geometry 2008 * *
Logic, geometry, trilinear coordinates 2007, 2008 * * *
Parity 2007, 2008, 2009 * * *
Sums, patterns, recursion, divisibility, binary 2008, 2009 * * * *
Sets, intersection, union, topology 2008 * *
Counting, recursion 2009 * * *
Game theory 2007 * * *
Counting, symmetry 2007, 2008 * * * *