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High-Frequency Topics

Based on 330+ AMC 8 practice problems over 28 years, analyzing the most frequently tested topics and patterns across algebra, geometry, number theory, and combinatorics.

Data-Driven

Four Module Topic Frequency

Statistical analysis based on 330+ practice problems from 1999-2026

A

Algebra

Share 36%
Integer & Fraction Operations
28/28 · 100%
Percentages & Ratios
26/28 · 93%
Equations & Inequalities
24/28 · 86%
Functions & Graphs
18/28 · 64%
Sequences & Recurrence
12/28 · 43%
Averages & Statistics
20/28 · 71%
G

Geometry

Share 32%
Triangle Area & Properties
27/28 · 96%
Quadrilateral Area
22/28 · 79%
Circle Properties
16/28 · 57%
Coordinate Geometry
14/28 · 50%
Solid Figures
10/28 · 36%
Similarity & Congruence
8/28 · 29%
N

Number Theory

Share 17%
Divisibility Rules
22/28 · 79%
Prime Factorization
18/28 · 64%
GCD & LCM
16/28 · 57%
Congruence & Remainders
12/28 · 43%
Number Properties
10/28 · 36%
C

Combinatorics

Share 15%
Counting Principles
24/28 · 86%
Classical Probability
22/28 · 79%
Inclusion-Exclusion
16/28 · 57%
Logical Reasoning
14/28 · 50%
Pigeonhole Principle
6/28 · 21%

Cross-Module High-Frequency Topics

  • Inclusion-Exclusion — involved in algebra, number theory, and combinatorics, appeared 16 times in last 10 years
  • Area Calculation — intersection of algebra and geometry, triangle and quadrilateral areas are most frequent
  • Number Properties — intersection of algebra and number theory, perfect squares and divisibility often combined
  • Percentage Applications — throughout algebra and statistics, preferred for real-world application problems

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