Resources for Problem Solvers
Art of Problem Solving (AoPS)
AoPS offers online text-based classes and excellent books for studying math. Their classes include Alcumus as part of the homework. Start by setting up a free AoPS account.
https://artofproblemsolving.com/school/recommendations
Alcumus (free)
Alcumus is AoPS's free online learning system located under resources tab. It adapts to each student and is a great way to study independently.
https://artofproblemsolving.com/alcumus
MATHCOUNTS
The MATHCOUNTS Trainer app, available on AoPS under resources, pairs well with Alcumus. The MATHCOUNTS Competition Series is for grades 6–8, and competitions for grades 3–5 were recently introduced as well. If a student's school does not offer MATHCOUNTS, they can compete as a non-school student. MATHCOUNTS also offers books & resources on their website.
https://www.mathcounts.org/registration/login?destination=/registration
AMC Competitions
When students are ready for math competitions, they can take the American Mathematics Competitions (AMC 8, 10, and 12) at Oakton College. The AMC 8 is a good place to start and is held in January.
https://events.oakton.edu/event/amc-8