MOEMS Preparation Course: Math Olympiads for Elementary and Middle Schools

Short problems, real thinking

Math Olympiads for Elementary and Middle Schools is one of the oldest competitions aimed at younger students, and its character is distinctive. The problems are short. They can be read in twenty seconds. What they ask for is an idea, not a long calculation.

This is a different activity from school mathematics, where a question usually signals its method. A MOEMS problem gives a situation and leaves the student to notice that a pattern argument, or a small case, or working backwards from the answer, makes it collapse. That noticing is the entire skill.

What changes with preparation

The instinct is to prepare by covering more syllabus. For MOEMS that helps very little, because the problems rarely need content beyond the school year.

What helps is making the strategies explicit. Most students arrive able to apply a method they have been taught, and with no idea what to do when no method presents itself. We teach the moves directly: try a smaller case and look for the pattern, draw the picture rather than imagining it, work backwards from what is wanted, ask what stays the same as the situation changes.

Students who learn these as named tools reach for them deliberately instead of waiting to be rescued by inspiration.

The format shapes the strategy

A contest of a few hard problems behaves differently from a paper of many easy ones. A single insight can be worth a large share of the available marks, and ten minutes spent on one problem can be a better investment than ten minutes spread across three.

This also means a contest can go badly for a capable student simply because the particular problems did not suit them, which is worth saying to a child in advance. Consistency comes over a series of contests rather than within any one of them.

Topics, as the contest actually uses them

Number sense covers factors, multiples, divisibility, remainders and digit problems, approached as puzzles. Patterns and sequences ask the student to spot a rule, extend it, and then justify why it continues, which is the step most students skip and the one that matters.

Counting and logic involve systematic listing and simple casework, where being organised beats being clever. Geometry and measurement are worked from diagrams the student draws, because a figure drawn badly hides the answer and a figure drawn well often reveals it.

How the classes run

Sessions are live and online, one-on-one or in small groups of two to six. Students work problems during the session while the teacher watches the attempt, since with non-routine problems the useful teaching moment is in the approach rather than the final number.

The closing weeks use past contest sets under timed conditions, with review focused on what the student tried rather than only on what they got right.

Who this suits

Middle school students who are comfortable with arithmetic, fractions and simple patterns. No prior competition experience is assumed, and being ahead in school syllabus matters less than being willing to sit with a problem that does not immediately make sense.

MOEMS is organised through schools and teams rather than individual entry, and divisions, dates and registration are set by the organisers. Check moems.org for the current year rather than relying on details reproduced on a coaching page. If your school does not participate, the past material is still excellent training and we can advise on competitions a student can enter individually.

What improvement looks like

Progress in a contest like this is uneven, and parents should expect that. A student may score similarly across two contests and still have improved considerably, because the particular problems in any one round suit some students better than others.

The signal worth watching is not the score but the attempt. A student who used to leave three problems blank and now writes a reasonable start on all five has improved, whatever the mark says, and that change usually shows up in results a contest or two later.