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Competition Prep

Counting & Probability — AMC 8

Combinatorics, probability, and expected value — the AMC 8 topics that separate top scorers.

4.8 (189 reviews)
1,580 enrolled
3 weeks · 14 sessions
Grades 6-8
Coming Soon — Notify MeNo credit card required

What You'll Learn

Systematic counting with multiplication principle
Permutations and combinations with formulas
Complementary counting — when NOT to count directly
Probability fundamentals and common traps
Expected value and weighted averages
Casework and organized listing strategies

This Course Includes

14 interactive sessions
32 worked examples with step-by-step solutions
3 practice sets (50 practice problems)
1 timed mini mock test
Weekly progress updates for parents
Detailed gap analysis at the end

Curriculum

3 weeks · 14 sessions
Multiplication Principle & Addition PrincipleLesson
PermutationsLesson
CombinationsLesson
Practice Set 1Practice
Basic Probability & Sample SpacesLesson
Complementary ProbabilityLesson
Geometric Probability & Expected ValueLesson
Practice Set 2Practice
Casework & Systematic ListingLesson
Stars and BarsLesson
Pascal's Triangle & Binomial ApplicationsLesson
Probability with CombinatoricsLesson
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 Counting & Probability 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. Each session includes concept introduction, 3 worked examples, and 4–6 practice problems.

Many students find counting & probability the most challenging — but also the most rewarding. We build intuition step by step.

Yes. Free with 5 practice questions per lesson. Pro adds unlimited practice.

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