VIP Exclusive
AIME VIP Practice Examination
AIME — The American Invitational Mathematics Examination (AIME) is a 15-question, 3-hour competition administered by the Mathematical Association of America (MAA); unlike this multiple-choice adaptation, answers on the real exam are integers from 000–999, and students qualify by scoring in the top tier of the AMC 10 or AMC 12. This VIP practice set adapts that competition's core domains — number theory, algebra, combinatorics, geometry, and probability — to a 40-question multiple-choice format at equivalent difficulty.
46
Questions
120m
Time Limit
75.00%
To Pass
Question 1 of 46👑 VIP
A cryptographer notices that 101 is prime and wants to exploit Fermat's Little Theorem to reduce an exponential expression. Fermat's Little Theorem states that if p is prime and gcd(a, p) = 1, then a^(p−1) ≡ 1 (mod p). Using this theorem, determine the remainder when 2^100 is divided by 101.
Questions 2–46 and full explanations are VIP-exclusive.