## IMO class 11 **syllabus**

School Connect Online Olympiad is an integrated learning program for schools designed with a key goal of establishing a gateway for learning process bringing

together every aspiring students, teachers, schools and parents under an umbrella of disciplined domain of schools. School Connect Online promises to sharpen the academic excellence of young minds, and nurture their aspirations by delivering them a unique learning platform to crack Olympiads, one of the most prestigious examinations.IMO for Class 11

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With a perfect blend of video lessons, practice questions, mock tests and assessment, **School Connect Online** aims to furnish the young aspirants with the best learning materials to deal with Olympiads. This learning platform provides self organised learning ambience to furnish the aspiring students with effective strategies and study plans to deal with Olympiad exams, and to bring out the best in them.

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

Students aiming for Maths Olympiad, Science Olympiad, AI Olympiad, Coding Olympiad can get free access to the best study materials supported by video lessons on each topic, practice questions, mock tests, sample papers and performance analysis.

School Connect Online endeavours to deliver the best support to students by providing a unique 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 –

- The best disciplined e-learning portal with Read, Practice,Test and Analysis flow.
- Mock Tests to practice real exam like situation.
- 70,000+ non repeating Questions for students to prepare for Olympiad Exam with CBSE followed syllabus.
- Participating students will get exposure to analytical based questions.
- First time in any Olympiad,School Connect give students an opportunity to analyse the questions with solution post Olympiad exam.
- Reading notes to students with best learning linked videos.
- Teachers of School can see the learning flow of students and their performance.
- 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.**

**Practice Unlimited with School Connect with –**

**Online Chapter-wise Practice and Tests:**The modus operandi to follow a learning and practice concept by enabling students to practice chapter-wise questions covering all topics.**Daily Practice Problems (DPP):**As you aim to complete all the topics mentioned in the syllabus, it is imperative to practice questions and take tests on a daily basis to improve the quality of your preparation.**Online Test Series (OTS):**Time Management, Preparation and Proper Exam Management with error free learning environment. It’s the fundamental tools for success in any exams.OTS will help you build confidence which is important for attaining success in any exams.

**Maths Olympiad Syllabus for Class**

Unit-I: **Sets and Functions**

1. **Sets**

- Sets and their representations.
- Finite and Infinite sets.
- Empty set. Power set. Equal sets. Subsets.
- Properties of Complement Sets.
- Venn diagrams. Difference of sets.
- Complement of a set.
- Universal set. Subsets of a set of real numbers especially intervals (with notations).
- Union and Intersection of sets.
- Practical Problems based on sets.

2. **Relations & Functions**

- Ordered pairs, Cartesian product of sets.
- Cartesian product of the sets of real (up to R x R).
- Pictorial representation of a function, domain, co-domain, and range of a function. Function as a special kind of relation from one set to another.
- Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation. Number of elements in the cartesian product of two finite sets.
- Sum, difference, product and quotients of functions.
- Real-valued functions, domain and range of these functions: modulus, exponential, constant, polynomial, identity, rational, Signum, logarithmic and greatest integer functions, with their graphs.

3. **Trigonometric Functions**

- Positive and negative Angles.
- Definition of trigonometric functions with the help of the unit circle.
- Truth of the sin2x+cos2x=1, for all x.
- Signs of trigonometric functions
- Domain and range of trigonometric functions and their graphs.
- Measuring angles in radians and in degrees and conversion of one into other. Expressing sin (x±y) and cos (x±y) in terms of sin x, sin y, cos x & cos y and their simple application.
- Deducing identities like the following: Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x.
- General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

Unit-II: **Algebra**

1. **Principle of Mathematical Induction**

- Process of the proof by induction.
- Motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers.
- The principle of mathematical induction and simple applications.

2. **Complex Numbers and Quadratic Equations**

- Need for complex numbers, especially √1, to be motivated by inability to solve some of the quadratic equations.
- Algebraic properties of complex numbers.
- Argand plane and polar representation of complex numbers.
- Statement of Fundamental Theorem of Algebra, solution of Quadratic equations in the complex number system. Square root of a complex number.

3. **Linear Inequalities**

- Linear inequalities.
- Algebraic solutions of linear inequalities in one variable and their representation on the number line.
- Graphical solution of linear inequalities in two variables. Graphical solution of system of linear inequalities in two variables.

4. **Permutations and Combinations**

- Fundamental principle of counting.
- Factorial n. (n!)Permutations and combinations,
- Derivation of formulae and their connections, simple applications.

5. **Binomial Theorem**

- History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle.
- General and middle term in binomial expansion, simple applications.

6. **Sequence and Series**

- Sequence and Series.
- Arithmetic Progression (A.P.). Arithmetic Mean (A.M.)
- Geometric Progression (G.P.), general term of a G.P.,
- Sum of n terms of a G.P., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.),
- Relation between A.M. and G.M.
- Formula for the following special sum

Unit-III: **Coordinate Geometry**

1. **Straight Lines**

- Brief recall of two dimensional geometry from earlier classes. Shifting of origin.
- Slope of a line and angle between two lines.
- Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form.
- General equation of a line. Equation of family of lines passing through the point of intersection of two lines.
- Distance of a point from a line.

2. **Conic Sections**

- Sections of a cone: Circles, ellipse, parabola, hyperbola; a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section.
- Standard equations and simple properties of parabola, ellipse and hyperbola.
- Standard equation of a circle.

3. **Introduction to Three–dimensional Geometry**

- Coordinate axes and coordinate planes in three dimensions.
- Coordinates of a point.
- Distance between two points and section formula

Unit-IV: **Calculus**

1. **Limits and Derivatives**

- Derivative introduced as rate of change both as that of distance function and geometrically.
- Intuitive idea of limit.
- Limits of polynomials and rational functions, trigonometric, exponential and logarithmic functions.
- Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions.
- The derivative of polynomial and trigonometric functions.

Unit-V: **Mathematical Reasoning**

1. **Mathematical Reasoning**

- Mathematically acceptable statements.
- Connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through variety of examples related to real life and Mathematics.
- Validating the statements involving the connecting words difference between contradiction, converse and contrapositive.

Unit-VI: **Statistics and Probability**

1. **Statistics**

- Measures of dispersion; Range, mean deviation, variance and standard deviation of ungrouped/grouped data.
- Analysis of frequency distributions with equal means but different variances.

2. **Probability**

- Random experiments; outcomes, sample spaces (set representation).
- Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes.
- Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

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

Subject | Participating Classes | Exam Date | Mode of Exam | Offline/Online Exam Day | Time Duration |

International Science Olympiad (ISO) | Class 1 to 12 | 26th November 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

International Science Olympiad (ISO) | Class 1 to 12 | 27th November 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Science Olympiad (ISO) | Class 1 to 12 | 29th November 2021 | Online/Offline | Monday | 45 min (Attend anytime) |

International Science Olympiad (ISO) | Class 1 to 12 | 30th November 2021 | Online/Offline | Tuesday | 45 min (Attend anytime) |

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

Subject | Participating Classes | Exam Date | Mode of Exam | Offline/Online Exam Day | Time Duration |

International Maths Olympiad (IMO) | Class 1 to 12 | 19th November 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

International Maths Olympiad (IMO) | Class 1 to 12 | 20th November 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Maths Olympiad (IMO) | Class 1 to 12 | 4th December 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Maths Olympiad (IMO) | Class 1 to 12 | 11th December 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

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

Subject | Participating Classes | Exam Date | Mode of Exam | Offline/Online Exam Day | Time Duration |

International Artificial Intelligence Olympiad | Class 5 to 12 | 15th October 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

International Artificial Intelligence Olympiad | Class 5 to 12 | 29th October 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

International Artificial Intelligence Olympiad | Class 5 to 12 | 5th November 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

International Artificial Intelligence Olympiad | Class 5 to 12 | 12th November 2021 | Online/Offline | Friday | 45 min (Attend anytime) |

**International Coding and Learning Olympiad Dates and Time for Stage 1**

Subject | Participating Classes | Exam Date | Mode of Exam | Offline/Online Exam Day | Time Duration |

International Coding and Learning Olympiad | Class 1 to 12 | 16th October 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Coding and Learning Olympiad | Class 1 to 12 | 30th October 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Coding and Learning Olympiad | Class 1 to 12 | 6th Novemebr 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

International Coding and Learning Olympiad | Class 1 to 12 | 13th December 2021 | Online/Offline | Saturday | 45 min (Attend anytime) |

**International Maths Olympiad (IMO) Exam Pattern**

| ||||

Grade | Section | No. of Questions | Marks per Question | Total Marks |

1 to 4 | Logical Reasoning | 10 | 3 | 30 |

| Mathematical Reasoning | 8 | 3 | 30 |

| Everyday Mathematics | 12 | 3 | 30 |

| Achievers Section | 5 | 5 | 25 |

| Grand Total | 35 | 115 | |

5 to 12 | Logical Reasoning | 10 | 3 | 30 |

| Mathematical Reasoning | 20 | 3 | 30 |

| Everyday Mathematics | 10 | 3 | 30 |

| Achievers Section | 10 | 5 | 50 |

| Grand Total | 50 | 140 |

**Learning support from School Connect Online for Olympiad Studies**

1 | Practice Questions | Study Materials |

2 | Chapter wise | Reading Notes |

3 | Mock Tests | Free Videos |

4 | Maths Reasoning | Learning Platform |

5 | Achievers Practice questions | Performance Update |

6 | Sample Papers | Competition 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 Medals | Eligibility |

Certificate of Participation | All students participated in Olympiads |

Certificate of Merit | Rank holder of Class (Minimum 10 students participating each class) |

Qualifier of Gold Medal | Top Rank Stage 2 Selected Students |

Qualifier of Silver Medal | Second Top Rank Stage 2 Selected Students |

Certificate of Excellence/Appreciation | Outstanding Performance Certificate to all Stage 2 Participants |

Hall of Fame | Best Performing Students in Stage 2/Final Olympiad Exam |

Achievers Gold Medal | Rank holder in International Olympiad Ranking |

Cash Rewards | Top 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 attempt only once 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**.

**Science Olympiad**

Class 1 | Science Olympiad Class 1 |

Class 2 | Science Olympiad Class 2 |

Class 3 | Science Olympiad Class 3 |

Class 4 | Science Olympiad Class 4 |

Class 5 | Science Olympiad Class 5 |

Class 6 | Science Olympiad Class 6 |

Class 7 | Science Olympiad Class 7 |

Class 8 | Science Olympiad Class 8 |

Class 9 | Science Olympiad Class 9 |

Class 10 | Science Olympiad Class 10 |

Class 11 | Science Olympiad Class 11 |

Class 12 | Science Olympiad Class 12 |