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Maths competitions by grade level

Maths is the most clearly laddered subject in this directory, and entering at the right rung matters more here than anywhere else. The contests form a genuine sequence: a middle school paper covering arithmetic through introductory algebra, a high school paper adding intermediate algebra and geometry, a harder one adding trigonometry, then invitational rounds you reach only by scoring above a threshold on the one before. Sitting a paper two rungs above where you are is not ambitious, it is just discouraging. Counts by band on this page: Grades 4 to 5: 7; Grades 6 to 8: 12; Grades 9 to 10: 10; Grades 11 to 12: 12. Every entry below states the grades its organiser actually accepts.

15 competitions · 5 free · 4 online · 10 with preparation guides

Questions people ask about this

Which math competition should a 7th grader enter?

Ones whose published eligibility includes grade 7, which on this page means the middle school papers rather than the high school ones. The middle school syllabus covers arithmetic, introductory algebra and basic geometry, with no trigonometry or calculus.

Can a younger student enter a higher grade competition?

Often yes, where the organiser sets a maximum grade rather than a minimum. Several papers are open to a grade and below, so a strong younger student may sit them. Check the eligibility line on the listing, and note that some competitions also impose an age limit alongside the grade one.

How do I know which level I am ready for?

Sit a past paper under timed conditions. Almost every maths competition here publishes past papers free, which makes this the easiest subject to judge honestly before entering. If you can attempt the first half comfortably, the level is right.