📘 Course Title:

Class 10 Maths Olympiad Mastery Program

🎯 Course Objective:

To build strong mathematical concepts, problem-solving skills, and logical reasoning abilities in students to excel in Class 10-level Maths Olympiads like:

• IMO (International Maths Olympiad)

• RMO (Regional Maths Olympiad)

• NSTSE, NTSE Stage-I Math, and

• Other state/national-level Olympiads

🧠 Learning Outcomes:

By the end of this course, students will be able to:

• Apply problem-solving strategies to complex math questions.

• Develop mathematical reasoning beyond standard curriculum.

• Master advanced topics relevant to competitive exams.

• Gain confidence through mock tests, puzzles, and timed challenges.

🗓️ Course Duration:

6 to 10 months | 2-3 classes/week | Total ~100 hours
(Adaptable to crash course format: 3 months, 4 classes/week)

🧮 Module Breakdown:

🔹 Module 1: Foundation of Olympiad Maths

• Number Systems & Integer Properties

• Factors, Multiples, HCF & LCM (with Olympiad twist)

• Divisibility Rules & Modular Arithmetic

• Prime Numbers & Fermat’s Little Theorem (Intro)

🔹 Module 2: Algebraic Wizardry

• Algebraic Identities & Factorization Tricks

• Linear Equations (One/Two Variables – Challenge Types)

• Quadratic Equations – Roots, Graphs, Olympiad-level Word Problems

• Polynomials – Degree, Zeros, and Graphing

🔹 Module 3: Geometry & Mensuration Mastery

• Lines, Angles, and Triangles (Olympiad Theorems)

• Circles – Chords, Tangents, Arcs, and Constructions

• Coordinate Geometry – Locus, Distance & Section Formulas

• Mensuration – Complex Surface Area/Volume Problems

🔹 Module 4: Number Theory & Arithmetic Logic

• Arithmetic Progression (AP) & Geometric Progression (GP)

• Sum of Series, AM-GM Inequality (Basics)

• Diophantine Equations (Simple Type)

• Magic Squares & Digit Problems

🔹 Module 5: Combinatorics & Logical Reasoning

• Permutations and Combinations (Intro for Olympiads)

• Logical Sequences and Patterns

• Puzzles, Venn Diagrams, Blood Relations (NTSE-level)

🔹 Module 6: Data Handling & Statistics

• Frequency, Mean, Median, Mode – Problem Solving

• Graph Interpretation and Data-based Reasoning

• Probability (Classical and Theoretical Problems)

🔹 Module 7: Mathematical Reasoning & Puzzles

• Statements & Conclusions

• Analytical Reasoning

• Olympiad-style puzzles and game theory (basics)

✍️ Assessments & Activities

• Weekly Practice Worksheets (Topic-wise)

• Bi-weekly Mini Tests

• Monthly Olympiad-style Mock Test

• Peer Problem Solving Activities

• Live Quizzes & Leaderboards

• Puzzle Corners & Logical Games

🛠️ Tools & Support Provided

• E-books and Notes (PDF + Interactive)

• Video Tutorials for Each Module

• Live Doubt-clearing Sessions

• Telegram/WhatsApp Group Support

• Formula Sheet + Shortcut Handbook

• Final Revision Crash Plan

🎓 Target Audience

• Class 10 students aiming for excellence in competitive math.

• School toppers, NTSE aspirants, early JEE/NEET starters.

✅ Pre-requisites

• Basic understanding of Class 9 Maths

• Interest in problem-solving and logical thinking