Curriculum

This is the knowledge base - the core math concepts - that you need to know to successfully do MathCounts problems.

Ideally, we would have been meeting since September to proceed with weekly meetings through this material. As it is, we didn't. So, 'Plan B' is: each student has the personal responsibility to learn the material below during the winter break. The MathCounts problems use (at least) the math concepts in these documents. Please download each file, read the material, and do the problems. Some of it is review, and as you progress there is bound to be new material - don't panic! Send an email to request the solutions to check your answers. We can discuss concepts during meetings if you have further questions, and of course, help is available via email.

Credit: This course was prepared by Peter Adams, Los Alamos, NM.

Part 1: Numbers

Numbers 1: Types of Numbers
Numbers 2: Fractions and Decimals
Numbers 3: Percentages
Numbers 4: Integer Sums & Products, Number Systems (Base), GCD, LCM
Numbers 5: Ordering, Absolute Value, Fractions, Ratio, Proportion
Numbers 6: Rules of Exponents, Rational/Irrational, Rationaling Denominators
Numbers 7: Sequences and Series
Numbers 8: Factorials, Permutations, Combinations
Numbers 9: Number of Factors, Sum/Product of Consecutive, Histogram Statistics