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Problems 1–5 are generally considered "early intermediate," while problems 14 and 15 are "high-level AIME" reaching introductory Olympiad difficulty. Key Problems and Themes
The is more than just a test; it is a curriculum. The problems from that year cover nearly every major topic in contest math: geometry (Problems 1, 4, 8, 14), number theory (Problems 5, 12, 15), combinatorics (Problems 6, 10), algebra (Problems 2, 7, 11), and probability (Problem 13).
To score a 10 or higher (which in 2013 virtually guaranteed a USAJMO or USAMO invitation), students had to crack at least one of these final five problems. The is famous for its Problem 14. 2013 aime i
Problem 6 is often cited as a classic example of an AIME problem that tests polynomial expansion disguised as trigonometry.
Many perfect scorers (15/15) reported spending over 45 minutes on Problem 14 alone. To score a 10 or higher (which in
The 2013 AIME I maintained the standard difficulty expected of the competition, with an average score of and a median of 6 . To qualify for the next level, the USAMO cutoff was set at 220 (combined AMC and AIME score), while the USAJMO cutoff was 210.5 . Format: 15 questions, 3 hours.
For high school students with aspirations of competing at the national level in mathematics, the American Invitational Mathematics Examination (AIME) is a pivotal milestone. Among the many iterations of this challenging exam, the stands out as a particularly fascinating and educational paper. Known for its blend of accessible early problems and devilishly clever late-round challenges, the 2013 AIME I serves as an excellent case study for anyone preparing for the contest. Many perfect scorers (15/15) reported spending over 45
The 2013 AIME I was held on March 13, 2013. Like all AIME exams, it featured 15 problems ranging in difficulty from 1 (easiest) to 15 (hardest). However, the difficulty distribution in 2013 felt distinct. Many competitors found the early problems accessible, but the difficulty spiked sharply in the middle of the exam, specifically around problems involving geometry and number theory.
The was held on March 14, 2013. This 15-question, 3-hour exam is a key qualifier for the USA (Junior) Mathematical Olympiad and is known for its rigorous requirements in algebra, combinatorics, geometry, and number theory. Exam Structure & Statistics