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Competition Prep

Number Theory — AMC 8

Master divisibility, primes, GCD/LCM, and modular arithmetic for AMC 8.

4.7 (156 reviews)
1,340 enrolled
3 weeks · 14 sessions
Grades 6-8
Coming Soon — Notify MeNo credit card required

What You'll Learn

Divisibility rules and their competition applications
Prime factorization shortcuts
GCD and LCM — Euclidean algorithm and Venn diagrams
Modular arithmetic and remainders
Base number conversions
Digit problems and number puzzles

This Course Includes

14 interactive sessions
28 worked examples with step-by-step solutions
3 practice sets (48 practice problems)
1 timed mini mock test
Weekly progress updates for parents
Detailed gap analysis at the end

Curriculum

3 weeks · 14 sessions
Divisibility Rules (2–11)Lesson
Prime FactorizationLesson
GCD & LCM TechniquesLesson
Practice Set 1Practice
Introduction to Modular ArithmeticLesson
Remainder Patterns & CyclesLesson
Digit Sums & Casting Out NinesLesson
Practice Set 2Practice
Perfect Squares, Cubes & PowersLesson
Base ConversionsLesson
Number Puzzles & Digit ProblemsLesson
Competition Problem-Solving StrategiesLesson
Practice Set 3 (Full Range)Practice
Timed Mini Mock TestMock Test

Is This Course Right for Your Child?

Ideal for students who

+Are in grades 6-8 and interested in math competitions
+Want to prepare specifically for Number Theory AMC 8
+Have basic arithmetic and pre-algebra skills
+Want structured, progressive preparation
+Enjoy visual, worked-example-based learning

Prerequisites

Comfortable with basic arithmetic (fractions, decimals)
Can read and understand word problems
No competition experience needed — we start from foundations

Frequently Asked Questions

Everything parents ask about this course

30–40 minutes per session with concept introduction, worked examples, and practice.

Different, not harder. Number theory rewards pattern recognition. Many students find it more intuitive than geometry.

Yes. Every lesson is free with 5 practice questions. Pro adds unlimited practice and analytics.

Yes. Weekly reports and gap analysis after each checkpoint.

The AMC 8 (American Mathematics Competition 8) is a 25-question, 40-minute multiple choice exam for students in grade 8 and below, administered by the Mathematical Association of America.

Competition math goes beyond school curriculum to build problem-solving and mathematical reasoning skills. This course teaches you to spot patterns, use elegant shortcuts, and tackle unfamiliar problems under time pressure.

Yes. Every session has worked examples with step-by-step solutions, guided practice with hints, and immediate feedback.

Your child keeps full access to everything completed. You can enroll in another free course or upgrade to Pro.

Designed by Experts

Cuemath Academy Team

This course is designed by the same team behind Cuemath's 1:1 tutoring program — trusted by 400,000+ students across 80+ countries. Our competition prep curriculum is built by math competition coaches with decades of experience.

400K+ students taught80+ countriesCompetition coaches on staff