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AMC 10

Organizer: Mathematical Association of America (MMA).

Covered materials: Topics from a typical Grades 9 and 10 mathematics curriculum.

  • Algebra: Four basic arithmetic operations, expressions, equations and functions (example: linear, quadratic, polynomial, exponential), sequences (e.g., arithmetic, geometric).

  • Geometry: Elementary Euclidean geometry (example: Pythagorean Theorem, congruent triangles, similar triangles, special-shaped quadrilaterals, circles), solid geometry (example: volumes, surface areas, spatial visualization), coordinate geometry (example: equations of lines, circles).

  • Counting and probability: Rule of sum, rule of product, permutation, combination, classical probability, conditional probability, basic statistics (example: mean, median, mode).

  • Number theory: Primes and composites, factorization, number bases, divisibility, modular arithmetic.

  • Everyday applications: Proportional reasoning, conversion of units, fraction and percentage.

 

Eligibility to take AMC 10: Both of the following two conditions need to be satisfied:

  1. In Grade 10 or below.

  2. Under 17.5 years of age on the day of the contest.

 

Format: 75 minutes, 25 multiple choice questions. Each question has 5 choices. Only 1 choice is correct.

 

Score: 6 points for each correct answer. 0 point for each incorrect answer. 1.5 points for each unanswered question. The full score is 150 points.

 

Frequency: Twice per year (Versions A and B).

 

Awards:

  • Achievement roll: Recognizes students in 8th grade or below who score 90 or above.

  • Honor roll: Recognizes students who score in (approximate) the top 2.5%.

  • Distinguished honor roll: Recognizes students who score in (approximate) the top 1%.

 

Eligibility to advance to AIME: At least top 2.5% of AMC 10 scorers.

(Source: https://www.maa.org/math-competitions/amc-1012)

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