Compete

Preparation guide

How to prepare for MATHCOUNTS

The national middle school math league, from your classroom to a televised countdown round.

Some preparation needed · Grades 6 to 8

Competition details and how to enter Official website

Where the points actually are

MATHCOUNTS rewards speed more than any other competition on this site. The mathematics is roughly AMC 8 level, but the Sprint Round gives you 80 seconds per question and the Countdown Round gives you 45. Most of the improvement available to a middle school student comes from arithmetic fluency and pattern recall, not from new content.

Topic breakdown

01Arithmetic fluency
Squares to 30, cubes to 12, common fraction and percentage conversions, divisibility rules, mental multiplication tricks. This is the highest-return topic by a wide margin.
02Algebra
Linear systems, quadratics, ratios and proportions, rate and work problems, sequences.
03Counting and probability
Permutations and combinations, complementary counting, simple expected value, Venn diagrams.
04Geometry
Area and perimeter formulas, special right triangles, circles, similar figures, coordinate geometry, three-dimensional volume and surface area.
05Number theory
Primes, factorisation, greatest common divisor and least common multiple, remainders, units digits.

A study plan that works backwards from the date

  1. September Download the free MATHCOUNTS School Handbook and work through the problems by topic. Build the arithmetic reference table (squares, cubes, common conversions) and memorise it.
  2. October and November One past Sprint Round per week under strict 40-minute timing. Track how many of the first 15 you finish in the first 15 minutes.
  3. December and January Add Target Round practice with a calculator so you learn when reaching for it costs you time. Start Countdown practice with a partner: read questions aloud, 45 seconds each.
  4. February onward Full past competitions end to end, one per week, and team round practice with your actual teammates. Team round scoring is a large share of the school total.

Tips that come from the format itself

  • Countdown Round is a separate skill. Practise it out loud with someone else buzzing against you, or you will freeze at chapter.
  • In Sprint, skip anything that does not resolve in 90 seconds and come back. Finishing 25 correct beats attempting 30 and getting 20.
  • The Team Round is where average schools beat strong ones. Assign problems by strength rather than solving everything together.
  • Memorised arithmetic is not cheating, it is the sport. A student who knows 17 squared instantly gains real seconds on every paper.

Practice resources

Past papers and official materials

Videos worth your time

  • MATHCOUNTS official channelMATHCOUNTS

    National Countdown Round broadcasts, which are the best way to understand the format before you compete.

Skills this builds

  • Mental arithmetic speed
  • Algebra
  • Counting
  • Geometry
  • Teamwork
  • Performing under buzzer pressure

Read what other students said about preparing