Practice Tests

Here are some helpful links for past tests:

Middle school level ( AMC 8, Mathcounts)

Mathcounts

Mathcounts current year

AMC 8

AMC 10/12 level:

AMC 10

AMC 12

AIME level and harder:

AIME

Math Prize for Girls

HMMT

PUMaC

Other: If you want to prepare for ARML or Alabama Local Competitions:

ARML

Alabama Local

Learning Tools:

Alcumus (will need AoPS account)

AoPS Mocks:

AoPS Community Members’ Past Mock AMC’s

Mock AIME’s

Mock Test Forum on AoPS

Note not all mocks in the above link are high quality (i.e. nice problems had at least as hard as the actual contest). Some may be troll. Take with some skepticism of quality.

OTHER:

Lexington (AMC level)

Mu Alpha Theta (lower quality, easier problems)

Purple Comet

At least AMC-AIME level:

Duke

Caltech-Harvery Mudd

Carnegie Mellon

Stanford

Online Math Open (Easy AMC to hard IMO)

Olympiads:

USAMO

IMO ShortList

Easier Olympiad:

British

Canadian

Other Olympiad:

European Girls Math Olympiad

China Girls Math Olympiad

Calculus Practice Problems:

MIT Integration Bee

Black Pen Red Pen

HMMT Feb pre-2012

Algorithms/Computer Science:

Carnegie Mellon (there are many more actually programming competitions)

Physics:

F=MA