AMC 8® • AMC 10® • MATHCOUNTS® Training

Master Competition Mathematics. Socratic AI Olympiad Coaching, 1,100+ Curated Twin Problems & Diagnostic Mistake Telemetry

Name: Contest Math Pro (CoMP)
Author: Kinetic Inspiration LLC

Step into the training laboratory of middle school mathematics champions. Engineered specifically for students in grades 5–8, ContestMathPro™ pairs young mathematicians with Mathimus™—an intelligent Socratic AI coach providing targeted pedagogical hints, diagnostic trap analysis, and timed benchmark pacing.

ContestMathPro™ (CoMP)

Native for iPad & iPhone • Tuned for Apple Pencil • 100% Offline Practice

Test Socratic Coach Demo

iPadOS 16+ & iOS 16+ Native

Apple Pencil Latency Tuned

100% Ad-Free & COPPA Compliant

Developed by Kinetic Inspiration LLC

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1,100+ Twin Problems

AMC 8® & MATHCOUNTS® Eras

Contest Math Pro App Dashboard Simulator Preview

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Mathimus Socratic AI

Pedagogical Hint Ladders

Intelligent Mentorship

Meet Mathimus™: Your Socratic AI Coach

Unlike answer-giving calculators or passive video lectures, Mathimus™ uses disciplined pedagogical scaffolding to guide young mathematicians to conceptual breakthroughs on their own.

Never Give Away Answers. Always Cultivate Insight.

When students get stuck on challenging competition questions, Mathimus™ analyzes their exact step and delivers calibrated hints. Students learn to navigate cognitive roadblocks, formulate hypotheses, and experience the joy of authentic discovery.

Multi-Tiered Hint Ladders: Progresses from gentle intuitive nudges to tactical casework and mathematical proof principles.
Zero Hallucination Guardrails: Grounded strictly in validated competition mathematics curricula and theorems.
Adaptive Student Persona: Dynamically matches the tone and readiness band of middle school competitors.

Mathimus™ Socratic Coach

Active Guidance Engine • Ready

Sample AMC 8® Challenge Problem

"In right triangle ΔABC, leg AB = 6 and leg BC = 8. A circle is inscribed inside the triangle. What is the radius of the incircle?"

Step 1 • Foundation Nudge

"First, determine the hypotenuse AC using the Pythagorean theorem (6² + 8² = c²). What is the total perimeter and area of the triangle?"

Step 2 • Tactical Casework

"Hypotenuse AC = 10. Area = ½(6)(8) = 24. Now connect the incenter to all three vertices, dividing ΔABC into three smaller triangles sharing height r. Can you express the total area in terms of the semi-perimeter s and inradius r?"

Step 3 • Conceptual Breakthrough

"By theorem Area = r • s, where semi-perimeter s = (6 + 8 + 10)/2 = 12. Therefore, 24 = r • 12 ⇒ r = 2! You solved it conceptually!"

Comprehensive Curriculum

The 5 Pillars of Competition Mastery

Over 1,100+ copyright-clean, original competition twin problems spanning the entire modern contest landscape (1999–2026), systematically organized into five foundational pillars.

Spatial Reasoning & Euclidean Rigor

From inscribed angle theorems to composite area decompositions, CoMP equips students to visualize auxiliary constructions and unravel high-difficulty geometry discriminators.

Pythagorean Triples & Inradii

Triangle Similarity & Cevians

Cyclic Quadrilaterals

3D Prisms & Spatial Volumes

AMC 8® Championship Tier

Problem Archetype: Tangent Circles

Three identical circles of radius 4 are mutually tangent. A larger circle encloses all three. Find the shaded area between the three internal curves.

Diagnostic Trap: 42% of students forget to subtract the three equilateral triangle sectors, incorrectly assuming circle radius is the triangle height.

Divisibility, Primes & Modular Arithmetic

Develop deep intuition for integer structures, prime factorization trees, base arithmetic, trailing zeroes, and cyclic pattern analysis.

Prime Factorization Trees

Divisibility for 7, 11 & 13

Modular Remainders & Cycles

GCD / LCM Euclidean Algorithm

Championship Discriminator

Trailing Zeroes & Factorials

What is the smallest positive integer n such that n! ends in exactly 10 trailing zeroes?

Diagnostic Trap: Missing Legendre’s formula and forgetting that 25 introduces two factors of 5, skipping from 4 to 6 zeroes.

Equations, Sequences & Symbolic Precision

Master telescoping series, quadratic factorizations, arithmetic & geometric progressions, systems of balances, and rate-time-distance word problems.

Telescoping Fractions

Difference of Squares & Cubes

Harmonic & Relative Rates

Non-Linear Equation Balances

MATHCOUNTS® Target Round

Telescoping Product Cancellation

Evaluate (1 - 1/4)(1 - 1/9)(1 - 1/16)...(1 - 1/100).

Diagnostic Trap: Factoring as (1 - 1/k)(1 + 1/k) and observing diagonal cancellations leads to 11/20 in under 30 seconds.

Systematic Counting, Permutations & Odds

Conquer casework partitions, complementary counting, Pigeonhole Principle, Pascal’s Triangle, grid walks, and independent probability trees.

Complementary Counting

Grid Paths & Stars and Bars

Expected Value & Symmetry

Pigeonhole Principle (PHP)

National Sprint Round

Restricted Seating Permutations

In how many ways can 5 students sit in a row of 5 chairs if Alice and Bob refuse to sit next to each other?

Diagnostic Trap: Total arrangements (120) minus adjacent block (2 • 4! = 48) = 72. Fast complementary counting prevents tedious casework.

Rapid-Fire Pacing & Mental Math Agility

Speed tests calibrate lightning mental calculation, estimation boundaries, fraction-decimal conversions, and time management under pressure.

Sprint Sprints I–X (100 Qs)

Mental Squaring & Cross-Mult

1-Minute Speed Blitz Mode

Successive Percent Variations

Speed Sprint Rapid Fire

Mental Difference of Squares

Quickly compute 105² - 95² without long multiplication.

Execution Shortcut: (105 - 95)(105 + 95) = 10 • 200 = 2,000. Calculated in 2 seconds flat!

Psychological & Cognitive Analytics

Diagnostic Mistake Trap Telemetry

Championship performance isn't just about what students know—it's about eliminating why they miss questions. CoMP categorizes every incorrect answer by its cognitive root cause.

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Concept Gaps

Missing mathematical definitions, unfamiliarity with specific theorems (e.g. Ceva, Shoelace), or unmastered modular arithmetic rules.

Remedy: Flashcards & Socratic Ladders

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Calculation Slips

Mental arithmetic errors, sign flips, fraction inverted division errors, or hasty scratchpad scribbles on multi-step arithmetic.

Remedy: Speed Sprints & Step Checks

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Misread Prompts

Answering for x instead of 2x + 1, ignoring "non-negative integer", or overlooking unit shifts (inches to feet).

Remedy: Prompt Highlighting Drills

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Time Panic & Pacing

Rushing casework in the final 5 minutes of a timed benchmark test or stalling too long on an early discriminator question.

Remedy: Timed Benchmark Simulations

Engineered for Excellence

Designed for iPad & iPhone

A frictionless digital environment built to feel like the ultimate competition training laboratory.

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Apple Pencil Digital Scratchpad

Solve complex multi-step proofs right next to the question statement. High-precision low latency, palm rejection, pen/highlighter tools, and infinite scratchpad area.

Apple Pencil Scratchpad Interface in CoMP

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15 Adventurer RPG Tiers & Badges

Turn rigorous preparation into an epic quest. Advance from Apprentice Explorer to Legendary Grandmaster while earning distinction honors, streak badges, and master crests.

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Executive Parent PDF Reports

Generate high-resolution 2-page print-ready reports featuring Bayesian score projections, 5-Pillar Mastery Radars, and tailored at-home 3-phase action plans.

Freemium Architecture

Transparent Training Plans

Get started completely free on iPad & iPhone. Upgrade flexibly to CoMP PRO for high-capacity Socratic AI coaching, diagnostic telemetry, and Parent PDF Reports.

Included Free

CoMP Standard

Comprehensive competition training laboratory for every ambitious student.

Free Coming to Apple App Store • 100% Free Core Tier

Complete access to 1,100+ original competition problems
Full coverage across all 5 competition pillars
10 Timed Speed Sprints + Daily Practice Quests
Apple Pencil digital scratchpad on every problem
Daily complimentary Mathimus™ Socratic AI hints
15 Adventurer RPG tiers & achievement badges
100% Ad-Free & COPPA student privacy compliant

Tournament Contenders

Apple In-App Subscription

CoMP PRO

Engineered for tournament contenders seeking high-frequency cognitive breakthroughs.

$9.99 / mo or $59.99 / yr with 7-Day Free Trial • Cancel Anytime

Everything in CoMP Standard, plus:
High-capacity daily Mathimus™ Socratic AI hints
Full 3-step pedagogical hint ladders on any problem
Diagnostic Mistake Trap Telemetry & root-cause profiling
Personalized Error Clone Drills targeting past weak points
Print-ready 2-page Executive Parent PDF Reports
Apple Family Sharing enabled for up to 5 family members

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Academic Stewardship & Engineering

Developed by Kinetic Inspiration LLC

Kinetic Inspiration LLC is an independent educational technology and cognitive software studio based in Silicon Valley, California. We engineer uncompromising digital training instruments that transform passive memorization into authentic mathematical agency.

ContestMathPro™ was built with a clear philosophy: young competitors deserve a quiet, distraction-free environment that respects student privacy, delivers genuine pedagogical scaffolding through Socratic mentoring, and honors the beauty of mathematical discovery.

100%

Independent Twin Problems

Third-Party Behavioral Ads

COPPA

Student Privacy Compliant

California

Incorporated LLC Studio

Kinetic Inspiration LLC

Independent Educational Software Studio

California, United States • Supporting students, parents, and math educators with high-integrity software.

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