CML Practice — Grades 7, 8 & 9
Grade-specific question banks and timed mock tests for Continental Math League competition preparation at the middle school level.
Grade 7 — Mixed Topics
30+ problems covering integer operations, basic algebra, geometric reasoning, and logic puzzles at the Grade 7 CML difficulty level.
Grade 7 Questions →Grade 8 — Algebra & Geometry
Balanced mix of algebraic manipulation, coordinate geometry, probability, and multi-step word problems at Grade 8 CML level.
Grade 8 Questions →Grade 9 — Advanced Contest
Higher-level problems: advanced number theory, sequences, combinatorics, quadratic reasoning, and contest-style multi-step problems.
Grade 9 Questions →Full Question Bank
Access all Grade 7, 8 and 9 questions on one page for flexible study sessions and mixed-difficulty practice.
All Practice Questions → Start from Grade 7 →Number Theory
Factors, primes, divisibility, GCD/LCM, modular arithmetic
Algebra
Linear equations, inequalities, systems, quadratic basics
Geometry
Area, volume, angles, coordinate geometry, Pythagorean theorem
Probability
Counting, permutations, combinations, basic probability
Data & Logic
Patterns, sequences, logic puzzles, casework reasoning
Word Problems
Rates, mixtures, age problems, multi-step applications
CML Competition Tips for Grades 7–9
- Mix difficulty levels: Start each study session with 2 easier problems to build momentum, then tackle harder ones.
- Simulate real conditions: Each CML meet has 6 questions in 30 minutes — practice under timed conditions regularly.
- Track error patterns: Keep a log of which topics cause most mistakes (algebra manipulation, diagram misreads, arithmetic errors) and target those.
- Show all work: Develop clear written steps. In competition, partial solutions often reveal the path to the answer.
- Review before moving on: After finishing a problem set, re-read each question to check for misinterpretations.