Intermediate Math League of Eastern Massachusetts - Topics

Topics

IMLEM Topics (As of 2007-08)
Meet Cat 1 Cat 2 Cat 3 Cat 4 Cat 5
Mystery Geometry Number Theory Arithmetic Algebra
1 ? Angle measures in plane figures including supplements and complements Divisibility rules, factors, primes, composites Order of operations; mean, median, mode; rounding; statistics Simplifying and evaluating expressions; solving equations with 1 unknown including identities
2 ? Area and perimeter of polygons GCF, LCM, prime factorization Fractions, terminating and repeating decimals, percents Word problems with 1 unknown; working with formulas; reasoning in number sentences
3 ? Properties of polygons; Pythagorean Theorem Bases, scientific notation Integral powers (positive, negative, and zero), roots up to the sixth Absolute value; inequalities in one variable including interpreting line graphs
4 ? Properties of circles Modular arithmetic, series and sequences Percent applications:
  • find percent of a number,
  • find what percent a number is of another,
  • find a number where the percent of that number is known,
  • find percent of change,
  • compound interest
 Word problems (linear, including direct proportions or systems)
5 ? Solid geometry (volume and surface area) Set theory, Venn diagrams Combinatorics and Probability Solving quadratics with rational solutions, including word problems

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