Class 12 • Maths Resources

Class 12 Maths Olympiad

Olympiad Exam Registration for Class 12th Maths : Join SCO Class 12 International Maths Olympiad: register for the global exam, access free study materials, sample papers, mock tests, and expert preparation tips.

Prepare & Register for Class 12 International Maths Olympiad – Complete Guide

Updated on: 31 Dec 2025

Unlock advanced mathematical thinking with SCO’s International Maths Olympiad for Class 12. Designed for senior pre-university learners worldwide, this Level 2 Olympiad fosters deep problem-solving skills, global benchmarking, and analytical rigor beyond standard curricula. Whether you aim to excel in university applications or sharpen competitive aptitude, our platform delivers curated resources, mock tests, and data-driven insights tailored for Class 12.

Why Choose SCO Olympiad Exams for Maths Olympiad Class 12?

  • Global Standard & Accessibility
    SCO’s Class 12 Maths Olympiad follows international-style problem formats, enabling participants from diverse regions to compare performance on a common platform. Online-proctored and select offline centers ensure accessibility across time zones.

  • Curriculum-Aligned Yet Challenging
    While aligned with major pre-university syllabi (e.g., CBSE, IB, A-level, AP), questions extend into deeper reasoning—bridging board exam competence with Olympiad-level thinking.

  • Comprehensive Study Materials
    Access free notes, video tutorials, and chapter-wise practice modules focusing on Level 2 topics like matrices, calculus applications, and 3D geometry. Internal link: Explore Class 12 Maths Resources.
  • Performance Analytics
    After each mock or actual test, receive detailed reports: topic-wise accuracy, time analysis, and percentile against international cohorts—guiding focused revision. Internal link: View Mock-Test Dashboard.
  • Expert Guidance & Community
    Join live webinars and discussion forums moderated by experienced coaches to dissect solutions, clarify doubts, and exchange strategies with peers globally.
  • Recognition & Future Edge
    Strong SCO Olympiad results bolster university applications, scholarship bids, and readiness for higher-level contests. Certificates and merit awards provide tangible credentials.

Maths Olympiad for Class 12: An Overview

The Class 12 Maths Olympiad by SCO is a timed contest combining multiple-choice questions (MCQs) and short-answer problems that emphasize conceptual clarity and inventive approaches. Level 2 focuses on advanced topics, requiring integration of ideas rather than rote techniques. Typical format:

  • Duration & Marks: Approximately 90 minutes, 100–150 marks (confirm per session details).
  • Question Types: Mix of higher-order MCQs and brief-response items testing derivations or concise reasoning.
  • Scoring: Full marks for correct responses; no negative marking encourages attempting all items.
  • Mode: Online-proctored globally; offline centers in select regions.
  • Results & Feedback: Published within ~48 hours, with answer keys and performance analytics.

Who Qualifies? Eligibility Criteria

  • Enrollment: Must be studying in Class 12 or equivalent (final-year pre-university).
  • Academic Foundation: Solid grasp of Class 11 topics, as Level 2 builds on earlier concepts.
  • Global Participation: Open to students worldwide; no prior Olympiad experience required though beneficial.
  • Technical Requirements: For online mode: stable internet, compatible device, webcam for proctoring. Offline centers follow local guidelines.

Benefits of Maths Olympiad for Class 12

  1. Deepened Conceptual Mastery
    Tackling advanced questions on relations, calculus applications, and geometry cements understanding beyond routine exercises.
  2. Analytical Agility
    Complex problem scenarios train flexible thinking—valuable in STEM degrees and research.
  3. Competitive Edge
    SCO certificates and high-percentile rankings enhance profiles for university admissions and scholarships.
  4. Global Benchmarking
    Seeing where you stand among international peers motivates targeted improvement and broadens perspectives.
  5. Skill Transfer
    Techniques learned (e.g., matrix methods, optimization) apply in higher studies—engineering, data science, economics.
  6. Resilience & Time Management
    Practice under timed conditions builds exam temperament and efficient problem-selection strategies.

Maths Olympiad for Class 12 Registration Process

  1. Visit Registration Portal
    Go to Register for SCO Olympiad and select “International Maths Olympiad – Class 12.”

  2. Fill Details
    Provide name, school/institute, grade, country, and contact email.
  3. Choose Mode & Session
    Pick online-proctored or offline center (if available locally) and select from upcoming dates.
  4. Payment
    Pay 200 (INR) or $12 (USD) per student using supported methods; save confirmation receipt.
  5. Confirmation & Access
    Receive email/SMS with login credentials for study materials, sample papers, and mock-test access.
  6. Begin Preparation
    Immediately download syllabus, sample paper for 2024–25, and plan study schedule leading up to exam date.

Maths Olympiad Exam Pattern for Class 12

  • Sections & Topics: Questions mapped to the syllabus list (see next section). Each section may contain mixed-topic items to assess integrative thinking.
  • Question Distribution: Balanced across major themes: algebra (relations, matrices), calculus (derivatives, integrals), geometry (vectors, 3D), and applied areas (linear programming, probability).
  • Time Allocation: Approximately 5–6 minutes per question on average; strategy involves quick identification of solvable items vs. time-intensive ones.
  • Mock Simulation: SCO’s platform replicates exam UI, with countdown timer and auto-submit to acclimate students to actual conditions.

Maths Olympiad for Class 12 Syllabus & Learning Outcomes

Below is the Class 12 syllabus with clear learning outcomes:

Chapter No.

Chapter Name

Learning Outcomes

1

Relation and Functions

Analyze types of relations; characterize functions (one-to-one, onto); explore composition and inverse functions; apply to functional equations and mapping problems.

2

Inverse Trigonometric Function

Understand principal values of arcsin, arccos, arctan; solve equations involving inverse trigonometric expressions; apply in integration and geometry contexts.

3

Matrices

Perform matrix operations; analyze rank, invertibility; apply to system of linear equations; use eigenvalues/eigenvectors basics for problem-solving.

4

Determinants

Compute determinants of various orders; use properties for matrix invertibility; apply Cramer’s rule in solving linear systems; evaluate area/volume applications.

5

Continuity and Differentiability

Define continuity; examine differentiability criteria; explore limits and behavior of functions; connect to differentiable function properties in optimization problems.

6

Application of Derivatives

Apply derivatives to analyze monotonicity, extrema, concavity; solve optimization problems (max/min); understand Rolle’s and Mean Value Theorems for reasoning.

7

Integral

Grasp definite and indefinite integrals; techniques (substitution, integration by parts); apply integrals to area/volume computations.

8

Application of Integrals

Solve problems on area between curves, volumes of revolution; use integrals in physics-related contexts (e.g., work).

9

Differential Equations

Formulate and solve first-order and simple higher-order differential equations; apply to growth/decay models and rate problems.

10

Vector Algebra

Understand vector operations; dot and cross products; apply to geometry problems—angles between lines/planes; use in mechanics-based contexts.

11

Three Dimensional Geometry

Visualize points, lines, planes in 3D; compute distances, direction cosines; solve spatial geometry problems using vector and coordinate methods.

12

Linear Programming

Formulate optimization problems; analyze feasible regions; use graphical methods for two-variable cases; interpret results in practical scenarios.

13

Probability

Apply probability axioms, conditional probability, Bayes’ theorem; solve combinatorial probability problems; understand distributions in simple contexts.

Download a Free Sample Paper for Maths Olympiad Class 12

Access and download the Maths Olympiad Class 12 Sample Question Paper for 2024–25 to familiarize with question styles.

Exam Schedule and Fee Structure for Class 12

Exam Name

Fee (INR)

Fee (USD)

Session 1

Session 2

Session 3

Session 4

Session 5

International Math Olympiad - SCO IMO

200

12

05-04-2025

03-05-2025

07-06-2025

13-10-2025

10-11-2025

  • Session Selection: Choose early sessions for more preparation time; later sessions suit revision cycles.
  • Payment Advice for Global Students: Use international-enabled cards or payment gateways; confirm currency conversion. Save receipts for records.
  • Registration Deadlines: Close ~1–2 weeks before each session—register promptly to secure slots.

How to Prepare for Maths Olympiad Class 12?

  1. Structured Study Plan
    • Phase 1 – Concept Reinforcement: Review fundamentals of Class 11 topics (relations, functions) since Level 2 builds on them. Use authoritative sources like NCERT textbooks and Khan Academy lessons.
    • Phase 2 – Topic-Wise Practice: For each chapter, solve escalating difficulty problems: start with standard exercises, then move to Olympiad-style questions from SCO resources. Internal link: Chapter Tutorials.
    • Phase 3 – Mixed-Topic Drills: Combine ideas across chapters (e.g., applying calculus in geometry contexts) to train integrative thinking.
    • Phase 4 – Timed Mocks: Regularly take full-length mock tests under exam conditions; analyze time spent per question and accuracy. Internal link: Take Class 12 Mock Tests.
    • Phase 5 – Revision & Reflection: Maintain concise formula sheets and error logs. Revisit weak areas based on mock analytics.
  2. Peer Study & Mentorship
    • Join SCO’s international forums to discuss challenging problems.
    • Attend expert-led webinars dissecting difficult questions, especially from previous SCO sessions.
  3. Performance Tracking
    • Use SCO analytics to benchmark against international cohorts, adjust study focus accordingly.
    • Aim to progressively improve percentile rankings across sessions.
  4. Time Management Strategies
    • In exam, quickly scan all questions to identify those with higher success probability.
    • Allocate time blocks, reserving final minutes for review.

Benchmark Scores and Official Answer Guide

  • Benchmarking: After each SCO session, consult published percentile cutoffs for Class 12. Aim to surpass prior thresholds through iterative practice.
  • Answer Guide: Official solutions released post-exam help verify approaches and uncover alternate methods. Review these in detail to enhance technique repertoire. Internal link: Answer Keys & Analysis.

Results of Maths Olympiad Class 12 & Answer Key

  • Result Timeline: Scores and global rankings typically available within 48 hours after exam.
  • Accessing Results: Log into SCO dashboard to view sectional performance, percentile rank, and downloadable certificates.
  • Answer Key: Download official answer key; cross-check answers and calculate estimated scores before official result announcement.
  • Feedback Loop: Use insights to refine preparation for subsequent sessions.

Olympiad Prizes for Class 12

  • E - Participation Certificates: Digital certificates for all participants through email or direct download from the website.
  • Merit Awards: Distinction certificates or medals for top performers regionally and globally.
  • Scholarship Invitations: High achievers may receive invitations to advanced workshops or mentorship programs.
  • Recognition Features: Top scorers highlighted in SCO newsletters and social media, inspiring peers.

How to Register for Maths Olympiad Class 12

  • Step-by-Step:
    1. Visit Register for SCO Olympiad.
    2. Select “International Maths Olympiad – Class 12.”
    3. Provide accurate details and choose preferred session.
    4. Complete payment and note confirmation.
  • Assistance: Contact SCO support via WhatsApp (+91 8718960308) or email for any registration issues.
  • Early Bird: Encourage schools to register groups early for streamlined coordination and access to prep schedules.

Global Presence in SCO Maths Olympiad for Class 12

SCO connects Class 12 learners internationally. Examples of regional participation strategy:

  • India: Offline centers in major cities; online-proctored aligned with IST. Resources mapped to CBSE/ISC syllabi. Teachers can integrate SCO modules into coaching sessions.
  • United States & Canada: Online exams scheduled to suit EST/PST; align SCO topics with AP/IB curricula. Peer groups across time zones foster collaboration.
  • United Kingdom & Europe: GMT/BST conversions; link SCO preparation with A-level/IB topics. University outreach programs partner for webinars.
  • Africa (Nigeria, Kenya, South Africa): Online mode with payment guidance; group registrations via local coordinators. Regional workshops introduce SCO format.
  • Australia & New Zealand: Time-zone adjusted online sessions; integrate SCO practice with Year 12 syllabus; webinars timed for AEST/AEDT.
  • Middle East & Southeast Asia: Online and select offline centers; align with local board curricula (e.g., CBSE-affiliated schools). Payment in USD/INR/local currency.
  • Latin America & Other Regions: Online-proctored ensures access; guidance on currency conversion and exam scheduling; local study groups via SCO forums.

Maths Olympiad for Class 12 FAQs

What topics does the Class 12 Maths Olympiad cover?

It includes Relation & Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity & Differentiability, Applications of Derivatives, Integrals & Applications, Differential Equations, Vector Algebra, 3D Geometry, Linear Programming, and Probability.

How is the exam pattern structured?

A timed test (~90 minutes) with MCQs and short-answer items across syllabus topics; no negative marking encourages attempts on all questions.

Is there any eligibility requirement beyond being in Class 12?

No additional prerequisites; however, a strong foundation in Class 11 mathematics helps tackle Level 2 questions.

When and how are results released?

Results and answer keys are typically available within 48 hours post-exam via the SCO dashboard, including performance analytics and percentile ranks.

How can I download the sample question paper?

Visit the resources section: Download Class 12 Sample Paper 2024–25.

How many sessions are offered, and what is the fee?

Five sessions annually (April, May, June, October, November). Fee: INR 200 or USD 12 per session.

How should I prepare for advanced topics like Differential Equations?

Start with conceptual understanding via textbooks and Khan Academy; practice SCO’s topic-specific problem sets and review solutions in webinars.

Can I retake the exam in multiple sessions?

Yes; you may attempt multiple sessions to improve your score and percentile. Use analytics from earlier attempts to guide revisions.

How do I register from my country?

Go to Register for SCO Olympiad, choose online mode or nearest offline center, and pay via supported payment methods (INR, USD gateways).

What recognition do top performers receive?

Top scorers earn merit certificates, medals, and potential scholarship invitations; achievements are featured in SCO communications, boosting academic profiles.

Note: For more FAQs, visit: Class 12 Maths Olympiad FAQs.

Important Links

Mathematical Olympiad overview  -  https://en.wikipedia.org/wiki/Mathematical_olympiad

Science Olympiad format - https://en.wikipedia.org/wiki/Science_Olympiad

Interactive early math practice - https://www.khanacademy.org/math/early-math

Art of Problem Solving (AoPS) Wiki - https://artofproblemsolving.com/wiki

Other Important Links –

Register for Class 12 Maths Olympiad - Ready to participate?

Class 12 Maths Olympiad Syllabus

Download a Free Sample Paper

Mock Tests for Class 12 Maths Olympiad

Benchmark Scores and Official Answer Guide

Class 12 Maths Olympiad FAQs

Global Participation: Class 12 Maths Olympiad

Preparation Timeline for Class 12 Olympiad

Chapters & Topics

Chapter 1. Relation and Functions
Topic 1Definition Of Function
Topic 2Domain And Codomain Of Function
Topic 3Range Of Function
Topic 4Different Types Of Functions
Topic 5Algebraic Operations On Functions
Topic 6Composite Function
Topic 7Transformations Of Graphs
Topic 8Classification Of Functions
Chapter 2. Inverse Trigonometric Function
Topic 1Domain and Range of Inverse Trigonometric Functions
Topic 2Graphs of Inverse Trigonometric Functions
Topic 3Some basic Results
Topic 4Formula in Inverse Trigonometry
Topic 5Few Important Results
Topic 6Solved Objective Examples
Topic 7Solved Subjective Example
Chapter 3. Matrices
Topic 1Matrices Definition
Topic 2Order of a Matrix
Topic 3Equality of Matrices
Topic 4Types of Matrices
Topic 5Addition and Subtraction of Matrices
Topic 6Scalar Multiplication of Matrices
Topic 7Multiplication of Matrices
Topic 8Positive Integral Powers of A Matrix
Topic 9Matrix Polynomial
Topic 10Transpose of a Matrix
Topic 11Determinant of a Matrix
Topic 12Special Types of Matrices
Topic 13Adjoint of a Square Matrix
Topic 14Inverse of a Matrix
Topic 15Elementary Transformations or Elementary Operations of a Matrix
Topic 16Elementary Martix
Topic 17Rank of Matrix
Topic 18Echelon form of a Matrix
Topic 19System of Simultaneous Linear Equations
Topic 20Solution of a Non Homogeneous System of Linear Equations
Topic 21Cayley Hamilton Theorem
Topic 22Geometrical Transformations
Topic 23Matrices of Rotation of Axes
Chapter 4. Determinants
Topic 1Determinants Definition
Topic 2Expansion of Determinants
Topic 3Evaluation of Determinants
Topic 4Properties of Determinants
Topic 5Minors and Cofactors
Topic 6Product of two Determinants
Topic 7Summation of Determinants
Topic 8Differentiation and Integration of Determinants
Topic 9Application of Determinants in solving a system of Linear Equations
Topic 10Application of Determinants in Co ordinate Geometry
Topic 11Some Special Determinants
Chapter 5. Continuity and Differentiability
Topic 1Continuity
Topic 2Algebra of Continuous Functions
Topic 3Algebra of Derivatives
Topic 4Derivatives of Composite Functions
Topic 5Derivatives of Functions in Parametric Forms
Topic 6Derivatives of Implicit Functions
Topic 7Derivatives of Inverse Trigonometric Functions
Topic 8Exponential and Logarithmic Functions
Topic 9Logarithmic Differentiation
Topic 10Mean Value Theorem
Topic 11Second Order Derivatives
Chapter 6. Application of Derivatives
Topic 1Velocity and Acceleration in Rectilinear Motion
Topic 2Derivative as the Rate of Change
Topic 3Slope of the Tangent and Normal
Topic 4Equation of the Tangent and Normal
Topic 5Angle of Intersection of Two Curves
Topic 6Length of Tangent, Normal, Subtangent and Subnormal
Topic 7Length of Intercept made on Axis by the Tangent
Topic 8Length of Perpendicular from Origin to the Tangent
Topic 9Maxima and Minima Introduction
Topic 10Maximum and Minimum Values of a Function
Topic 11Local Maxima and Local Minima
Topic 12Conditions for Maxima and Minima of a Function
Topic 13Working rule for Finding Maxima and Minima
Topic 14Point of Inflection
Topic 15Greatest and Least Values of a Function in a given Interval
Topic 16Maxima and Minima of Functions of Two Variables
Topic 17Geometrical Results related to Maxima and Minima
Topic 18Increasing and Decreasing Function
Topic 19Monotonic Function
Topic 20Necessary and Sufficient Condition for Monotonic Function
Topic 21Test for Monotonicity
Topic 22Properties of Monotonic Function
Topic 23Rolle’s Theorem
Topic 24Analytical Interpretation of Rolle’s Theorem
Topic 25Geometrical Interpretation of Rolle’s Theorem
Topic 26Lagrange’s Mean Value Theorem
Topic 27Lagrange’s Mean Value Theorem Analytical Interpretation
Topic 28Lagrange’s Mean Value Theorem Geometrical Interpretation
Chapter 7. Integral
Topic 1Fundamental Theorem of Calculus
Topic 2Introduction to Integration
Topic 3Indefinite Integrals
Topic 4Properties of Definite Integrals
Topic 5Definite Integral as a Limit of a Sum
Topic 6Integration by Partial Fractions
Topic 7Integration by Parts
Topic 8Integration by Substitutions
Topic 9Integral of Some Particular Functions
Topic 10Integral of the Type e^x[f(x) + f'(x)]dx
Chapter 8. Application of Integrals
Topic 1Introduction Area under Curves
Topic 2Procedure of Curve Sketching
Topic 3Sketching of Some Common Curves
Topic 4Area of Bounded Regions
Topic 5Sign convention for finding the Areas using Integration
Topic 6Symmetrical Area
Topic 7Area Between Two Curves
Topic 8Volumes and Surfaces of Solids of Revolution
Chapter 9. Differential Equations
Topic 1Order and Degree of a Differential Equation
Topic 2Homogeneous Differential Equations
Topic 3Linear Differential Equations
Topic 4General and Particular Solutions of a Differential Equation
Topic 5Formation of Differential Equation whose General Solution is Given
Topic 6Differential Equations with Variables Separable
Chapter 10. Vector Algebra
Topic 1Vector Algebra Introduction
Topic 2Representation of Vectors
Topic 3Types of Vector
Topic 4Rectangular resolution of a Vector in Two and Three dimensional systems
Topic 5Properties of Vectors
Topic 6Position Vector
Topic 7Linear Combination of Vectors
Topic 8Linear Independence and Dependence of Vectors
Topic 9Product of Two Vectors
Topic 10Vector or Cross product of Two Vectors
Topic 11Moment of a Force and Couple
Topic 12Scalar Triple Product
Topic 13Vector Triple Product
Topic 14Scalar product of Four Vectors
Topic 15Vector product of Four Vectors
Topic 16Vector Equations
Chapter 11. Three Dimensional Geometry
Topic 1Co ordinates of a Point in Space
Topic 1Co ordinates of a Point in Space
Topic 2Distance Formula
Topic 2Distance Formula
Topic 3Section Formulas
Topic 4Triangle
Topic 4Triangle
Topic 5Volume of Tetrahedron
Topic 5Volume of Tetrahedron
Topic 6Direction cosines and Direction ratio
Topic 6Direction cosines and Direction ratio
Topic 7Projection
Topic 7Projection
Topic 8Angle between Two lines
Topic 8Angle between Two lines
Topic 9Straight line in Space
Topic 9Straight line in Space
Topic 10Equation of Line passing through Two given points
Topic 10Equation of Line passing through Two given points
Topic 11Changing Unsymmetrical form to Symmetrical form
Topic 11Changing Unsymmetrical form to Symmetrical form
Topic 12Angle between Two lines
Topic 12Angle between Two lines
Topic 13Reduction of Cartesian form of the Equation of a line to Vector form and Vice versa
Topic 13Reduction of Cartesian form of the Equation of a line to Vector form and Vice versa
Topic 14Intersection of Two lines
Topic 14Intersection of Two lines
Topic 15Foot of perpendicular from a point A to the line
Topic 15Foot of perpendicular from a point A to the line
Chapter 12. Linear Programming
Topic 1Linear Programming Introduction
Topic 2Linear Inequations
Topic 3Terms of Linear Programming
Topic 4Mathematical formulation of a Linear programming problem
Topic 5Graphical solution of two variable Linear programming problem
Topic 6To find the Vertices of Simple feasible region without Drawing a Graph
Topic 7Problems having Infeasible Solutions
Topic 8Some Important Points about L P P
Topic 9Advantages and Limitations of L P P
Chapter 13. Probability
Topic 1Introduction to Probability
Topic 2Probability of an Event
Topic 3Event and its Types
Topic 4Events and Its Algebra
Topic 5Independent Events
Topic 6Conditional Probability
Topic 7Basic Theorems of Probability
Topic 8Multiplication Theorem on Probability
Topic 9Baye’s Theorem
Topic 10Random Variable and Its Probability Distribution
Topic 11Mean and Variance of Random Variables
Topic 12Bernoulli Trials and Binomial Distribution

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