IMO for Class 12

IMO for Class 12

IMO class 12 syllabus

School Connect Online Olympiad is an integrated learning program for schools to create a single window of learning process to engage each and every student with teachers, school and parent in a disciplined environment of schools with reports to analyse and remediation.IMO for Class 12

School Connect Online provides the best learning materials to the students preparing for Olympiads, through the disciplined learning platform where students will get reading notes which are supported by best available videos, practice questions, mock tests and assessment, the school connect online platform provides self organized learning environment to the students for the academic excellence also for the outstanding performance in competitive exams

School Connect Online is Funded and incubated by Startup Oasis, Jaipur an initiative of CIIE –Indian Institute of Management Ahmadabad (IIM-A).

Students who are preparing for Maths Olympiad, Science Olympiad, AI Olympiad, Coding Olympiad will get free preparation best in class materials which is supported by free videos for each topic, practice questions ,mock tests, sample papers and performance analysis.

School Connect Online support students with best online platform for their studies and till now we have successfully completed Online Maths Olympiad, Online Science Olympiad, Online Coding Olympiad and Online AI Olympiad.

Benefits of School Connect Online Olympiad –

  1. The best disciplined e-learning portal with Read, Practice,Test and Analysis flow.
  2. Mock Tests to practice real exam like situation.
  3. 70,000+ non repeating Questions for students to prepare for Olympiad Exam with CBSE followed syllabus.
  4. Participating students will get exposure to analytical based questions.
  5. First time in any Olympiad,School Connect give students an opportunity to analyse the questions with solution post Olympiad exam.
  6. Reading notes to students with best learning linked videos.
  7. Teachers of School can see the learning flow of students and their performance.
  8. A single window view report of the entire school’s performance. With Lesson Plan/Class Plan driven learning progress.

Register Now for IMO Olympiad 2021-22,and access to the best free learning materials and free adaptive videos.

Register Now for International Artificial Intelligence (AI) Olympiad 2021-22  
Register Now for International Coding Olympiad 2021-22
Register Now for International Maths Olympiad 2021-22
Register Now for International Science Olympiad 2021-22
IMO for Class 12

Practice Unlimited with School Connect with –

  • Online Chapter-wise Practice and Tests: The modus operandi to have a learning and practice concept by attempting every chapters with every topics  has progressive levels of test in increasing order of difficulty-level.
  • Daily Practice Problems (DPP): As you learn more and more topics during the preparation cycle, it is imperative to practice and test all topics to memorise them thoroughly
  • Online Test Series (OTS): Time Management, Preparation and Proper Exam Management with error free environment. It’s an essential tool for the success in any exams.

Maths Olympiad Syllabus for Class 12

UnitTopicMarks
I.Relations and Functions10
II.Algebra13
III.Calculus44
IV.Vectors and 3D Geometry17
V.Linear Programming6
VI.Probability10
 Total100
IMO for Class 12

Unit I: Relations and Functions

1. Relations and Functions

  • Types of relations: reflexive, symmetric, transitive and equivalence relations.
  • One to one and onto functions, composite functions, inverse of a function.
  • Binary operations.

2. Inverse Trigonometric Functions

  • Definition, range, domain, principal value branch.
  • Graphs of inverse trigonometric functions.
  • Elementary properties of inverse trigonometric functions.

 

Unit-II: Algebra 

1. Matrices

  • Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices.
  • Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication.
  • Non Commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix.
  • Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse.

2. Determinants

  • Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix.
  • Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables using inverse of a matrix.
  •  

Unit III: Calculus 

1. Continuity and Differentiability

  • Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions.
  • Concept of exponential and logarithmic functions.
  • Derivatives of logarithmic and exponential functions.
  • Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.
  • Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretation.
  •  

2. Applications of Derivatives

  • Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals.
  • Use of derivatives in approximation, maxima and minima.
  •  

3. Integrals

  • Integration as inverse process of differentiation.
  • Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.
  • Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof).
  • Basic properties of definite integrals and evaluation of definite integrals.
  •  

4. Applications of the Integrals 

Applications in finding the area under simple curves, especially lines, circles/parabolas/ellipses Area between any of the two above said curves (the region should be clearly identifiable). 

5. Differential Equations 

  • Definition, order and degree, general and particular solutions of a differential equation.
  • Formation of differential equation whose general solution is given.
  • Solution of differential equations by method of separation of variables solutions of homogeneous differential equations of first order and first degree.
  • Solutions of linear differential equation of the type.
  •  

Unit IV: Vectors and Three-Dimensional Geometry 

1.Vectors

  • Vectors and scalars, magnitude and direction of a vector, direction cosines and direction ratios of a vector.
  • Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio.
  • Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors, scalar triple product of vectors.
  •  

2. Three – dimensional Geometry 

  • Direction cosines and direction ratios of a line joining two points.
  • Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines, Cartesian and vector equation of a plane.
  • Angle between (i) two lines, (ii) two planes, (iii) a line and a plane, distance of a point from a plane.
  •                                    

Unit V: Linear Programming 

Linear Programming

  • Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming problems.
  • Mathematical formulation of L.P. Problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded and unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
  •  

Unit VI: Probability 

Probability

  • Conditional probability, multiplication theorem on probability
  • Independent events, total probability, Baye’s theorem, Random variable and its probability distribution, mean and variance of random variable.
  • Repeated independent (Bernoulli) trials and Binomial distribution.
  •  

International Maths Olympiad (IMO) Dates and Time Class 1 to 12

 
SubjectParticipating Classes Exam DateMode of ExamOffline/Online Exam DayTime Duration
International Science Olympiad (ISO)Class 1 to 1226th November 2021Online/OfflineFriday45 min (Attend anytime)
International Science Olympiad (ISO)Class 1 to 1227th November 2021Online/OfflineSaturday45 min (Attend anytime)
International Science Olympiad (ISO)Class 1 to 1229th November 2021Online/OfflineMonday45 min (Attend anytime)
International Science Olympiad (ISO)Class 1 to 1230th November 2021Online/OfflineTuesday45 min (Attend anytime)

International Science Olympiad (IMO) Dates and Time for Class 1 to 12

 
SubjectParticipating Classes Exam DateMode of ExamOffline/Online Exam DayTime Duration
International Maths Olympiad (IMO)Class 1 to 1219th November 2021Online/OfflineFriday45 min (Attend anytime)
International Maths Olympiad (IMO)Class 1 to 1220th November 2021Online/OfflineSaturday45 min (Attend anytime)
International Maths Olympiad (IMO)Class 1 to 124th December 2021Online/OfflineSaturday45 min (Attend anytime)
International Maths Olympiad (IMO)Class 1 to 1211th December 2021Online/OfflineSaturday45 min (Attend anytime)

International Artificial Intelligence (AI) Olympiad Dates and Time for Stage 1

 
SubjectParticipating Classes Exam DateMode of ExamOffline/Online Exam DayTime Duration
International Artificial Intelligence OlympiadClass 5 to 1215th October 2021Online/OfflineFriday45 min (Attend anytime)
International Artificial Intelligence OlympiadClass 5 to 1229th October 2021Online/OfflineFriday45 min (Attend anytime)
International Artificial Intelligence OlympiadClass 5 to 125th November 2021Online/OfflineFriday45 min (Attend anytime)
International Artificial Intelligence OlympiadClass 5 to 1212th November 2021Online/OfflineFriday45 min (Attend anytime)

International Coding and Learning Olympiad Dates and Time for Stage 1

 
SubjectParticipating Classes Exam DateMode of ExamOffline/Online Exam DayTime Duration
International Coding and Learning OlympiadClass 1 to 1216th October 2021Online/OfflineSaturday45 min (Attend anytime)
International Coding and Learning OlympiadClass 1 to 1230th October 2021Online/OfflineSaturday45 min (Attend anytime)
International Coding and Learning OlympiadClass 1 to 126th Novemebr 2021Online/OfflineSaturday45 min (Attend anytime)
International Coding and Learning OlympiadClass 1 to 1213th December 2021Online/OfflineSaturday45 min (Attend anytime)

International Maths Olympiad (IMO) Exam Pattern

 
     
GradeSectionNo. of QuestionsMarks per QuestionTotal Marks
1 to 4Logical Reasoning10330
 Mathematical Reasoning8330
 Everyday Mathematics12330
 Achievers Section5525
 Grand Total35 115
5 to 12Logical Reasoning10330
 Mathematical Reasoning20330
 Everyday Mathematics10330
 Achievers Section10550
 Grand Total50 140

Learning support from School Connect Online for Olympiad Studies

 
1Practice QuestionsStudy Materials
2Chapter wiseReading Notes
3Mock TestsFree Videos
4Maths ReasoningLearning Platform
5Achievers Practice questionsPerformance Update
6Sample PapersCompetition Update

Eligibility Criteria for School Connect Online Olympiad

Age: Students of classes 1 to 12th are eligible to appear for the 1st level Olympiads. Students who qualify for the 2nd level exam include.

(a) Top 5% of students’ class wise, who appear for the 1st level exam,

(b) State wise top 25 rank holders class wise, and

(c) Class toppers from each participating school where at least 10 students from a class appear in the exam & scores 50% qualifying marks.

Note – Students from classes 1 and 2 are not required to appear for the 2nd level exam and are ranked based on their performance in the first level exam.

Awards and Certificates Details

Awards and MedalsEligibility
Certificate of ParticipationAll students participated in Olympiads
Certificate of MeritRank holder of Class (Minimum 10 students participating each class)
Qualifier of Gold MedalTop Rank Stage 2 Selected Students
Qualifier of Silver MedalSecond Top Rank Stage 2 Selected Students
Certificate of Excellence/AppreciationOutstanding Performance Certificate to all Stage 2 Participants
Hall of FameBest Performing Students in Stage 2/Final Olympiad Exam
Achievers Gold MedalRank holder in International Olympiad Ranking
Cash RewardsTop 10 Students

Olympiad Registration

  • Class: You need to be a student in Classes 1 to 12 to be eligible for this exam.
  • Boards: You must be a student of SSC, ICSE or CBSE boards.
  • Qualifying for second level examination:

The top 5% of students (class-wise) also benchmark percentile score who appear for the first level exam.

Class toppers from each participating school; where at least 10 students participate and score a minimum of 50%.

  • Year of attempt: As long as you’re a student enrolled in any of Classes 1 to 12, you can apply for  International Science Olympiad and IMO or International Maths Olympiad)
  • Number of attempts: You can only attempt one time in a year for any olympiad with 2 qualifying stages.
  • Year of attempt: As long as you’re a student enrolled in any of Classes 1 to 12, you can apply for International Science Olympiad and IMO or International Maths Olympiad once in every academic year.

Maths Olympiad  

ClassSyllabusClassSyllabus
Class 1Maths Olympiad Class 1Class 4Maths Olympiad Class 4
Class 2Maths Olympiad Class 2Class 5Maths Olympiad Class 5
Class 3Maths Olympiad Class 3Class 6Maths Olympiad Class 6
Class 7Maths Olympiad Class 7Class 10Maths Olympiad Class 10
Class 8Maths Olympiad Class 8Class 11Maths Olympiad  Class 11
Class 9Maths Olympiad Class 9Class 12Maths Olympiad Class 12

Other National and International Level Olympiads

AI OlympiadInternational Artificial Intelligence Olympiad  
Coding OlympiadInternational Coding Olympiad  
Maths Olympiad (IMO)International Maths Olympiad  
Science Olympiad (ISO)International Science Olympiad  
KVPYKishore Vaigyanik Protsahan Yojana
IMO for Class 12
School Connect Online

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