Maths
How to prepare for IMO with Toppr

Get your concepts right
To crack IMO, you need to understand your concepts well. With the help of Toppr’s video lectures, you can get a clear understanding of any topic at any time of the day.
They are taught by experienced teachers, and are available in Hinglish & English – covering all the concepts you can possibly think of.Try Now 
Practice regularly
The best students spend 80% of their time practicing questions, and 20% learning theory. Improve your skills by practicing only the right questions.
At Toppr, we customize them for you by gradually increasing the degree of difficulty – for it ensures a full coverage of the scope of the examination.Try Now 
Get your doubts cleared
A doubt can weaken your foundation, or even reduce your confidence.
Don’t get stuck at a doubt. Seek help immediately using our Doubts on Chat app. Here, you can get your queries solved 24x7 by a community of experts.Try Now 
Take AllIndia Tests
AllIndia tests help you monitor your progress, and gauge how well prepared you are for Dday. On Toppr, you can compete with students from all over the country!
Try Now
All you need to know about IMO
Facts, Syllabus & Pattern
 What is IMO?
 Syllabus for IMO
 Exam Pattern for IMO
How to apply
 Eligibility Criteria for IMO
 Registration for IMO
 Application Fee for IMO
 Admit Card for IMO
Important Dates
 Exam Dates for IMO
Results and Cutoff
 Results for IMO
How to Prepare for IMO
 Preparation Tips for IMO
 Sample Papers for IMO
 Previous Years’ Papers for IMO
Facts, Syllabus and Pattern
What is IMO?
 The International Mathematical Olympiad (IMO) is the world championship mathematics competition for high school students and is held annually in a different country.
 The first IMO was held in 1959 in Romania, with 7 countries participating. It has gradually expanded to over 100 countries from 5 continents.
 The IMO board ensures that the competition takes place each year and that each host country observes the regulations and traditions of the IMO.
Syllabus for IMO
 Numerals
 Number Name and Number Sense (2 digit numbers)
 Addition
 Subtraction
 Length
 Weight
 Time
 Money
 Geometrical Skills
 Patterns
 Odd One Out
 Series Completion
 Problems Based on Figures
 Numerals and Number Name
 Number Sense (3 digit numbers)
 Money
 Measurement of Length (conversions), Weight, Time and Temperature
 Calendar
 Point, Line and Plane Figures
 Problems Based on Figures
 Patterns
 Series Completion
 Find Odd Numeral Out
 Geometrical Shapes
 Numerals and Number Name
 Number Sense (4 digit numbers)
 Addition
 Subtraction
 Multiplication
 Division
 Fractions
 Money
 Length (conversions)
 Weight
 Capacity
 Time
 Point
 Problems Based on Figures
 Odd One Out
 Patterns
 Series Completion
 CodingDecoding
 Mirror Images
 Embedded Figures
 Straight Lines and Curved Lines
 Geometrical Shapes
 Numerals and Number Name (5 digit numbers)
 Place Value
 Roman Numerals
 Addition and Subtraction
 Geometry : Square, Rectangle, Circle, Closed, Open Figure
 Multiplication and Division
 Factors and Multiples
 Fractions
 Measurement
 Pictorial Representation of Data
 Money, Time, Weight and Capacity
 Series and Pattern Formation of Numbers and Figures
 Conversions
 Comparison
 Perimeter of Various Shapes
 Direction Sense
 Mirror Images
 Embedded Figures
 Number Ranking
 Alphabetical Test
 CodingDecoding
 Mathematical Reasoning
 Symmetry
 Number Sense
 Numeral and Number Name (7 and 8 digit numbers)
 Roman Numbers
 Addition
 Subtraction
 Multiplication
 Division
 Factors and Multiples
 LCM, HCF
 Rules of Divisibility
 Whole, Prime and Composite Numbers
 Fractions
 Decimals
 Geometrical Shapes and Angles
 Circles
 Symmetry
 Measurement of Length, Mass, Capacity
 Perimeter and Area of Rectangle, Square
 Measurement of Volume, Temperature, Time and Various Operations on Time
 Relationship Between Seconds, Minutes and Hours
 Money
 Representation of Data in Pictorial Form
 Patterns
 Formation of Numbers and Figures
 Direction Sense
 Number Ranking and Alphabetical Test
 Series
 Odd One Out
 Knowing our Numbers
 Whole Numbers
 Playing with Numbers
 Basic Geometrical Ideas
 Understanding Elementary Shapes
 Integers
 Fractions
 Decimals
 Data Handling
 Mensuration
 Algebra
 Ratio and Proportion
 Symmetry
 Practical Geometry
 Problems Based on Figures
 Odd One Out
 Series Completion
 CodingDecoding
 Mathematical Reasoning
 Mirror Images
 Embedded Figures
 Patterns
 Direction Sense
 Number Ranking and Alphabetical Test
 Integers
 Fractions and Decimals
 Exponents and Powers
 Algebraic Expressions
 Simple Linear Equations
 Lines and Angles
 Concept of Percentage
 Profit and Loss
 Simple Interest
 Probability
 Properties of Triangle
 Symmetry
 Congruence of Triangles
 Rational Numbers
 Perimeter and Area
 Data Handling
 Arithmetical Ability
 Visualising Solid Shapes
 Problems Based on Figures
 Odd One Out
 Series Completion
 CodingDecoding
 Mathematical Reasoning
 Mirror Images
 Embedded Figures
 Patterns
 Direction Sense
 Number Ranking and Alphabetical Test
Section – I (Logical Reasoning)
 Mathematical Operations
 Series Completion
 Direction Sense Test
 Analytical Reasoning
 Problems on Cubes and Dice
 Number Ranking and Time Sequence Test
 General Reasoning Based on Prescribed Syllabus
Section – II (Mathematical Reasoning)
 Rational Numbers
 Squares and Square Roots
 Cubes and Cube Roots
 Exponents and Powers
 Comparing Quantities
 Algebraic Expressions and Identities
 Linear Equations in One Variable
 Understanding Quadrilaterals
 Constructions
 Mensuration
 Visualising Solid Shapes
 Data Handling
 Direct and Inverse Variations
 Factorisation
 Introduction to Graphs
 Playing with Numbers
Section – III (Everyday Mathematics)
 The syllabus of this section will be based on the syllabus of Mathematical Reasoning.
Section – I (Logical Reasoning)
 Mathematical Operations
 Series Completion
 Arithmetical Reasoning
 Problems on Cubes and Dice
 Number Ranking & Time Sequence Test
 Inserting Missing Character
 General Reasoning Based on Prescribed Syllabus
Section – II (Mathematical Reasoning)
 Number Systems
 Polynomials
 Coordinate Geometry
 Linear Equations in Two Variables
 Introduction to Euclid’s Geometry
 Lines and Angles
 Triangles
 Quadrilaterals
 Areas of Parallelograms and Triangles
 Circles
 Constructions
 Heron’s Formula
 Surface Areas and Volumes
 Statistics
 Probability
Section – III (Everyday Mathematics)
 The syllabus of this section will be based on the syllabus of Mathematical Reasoning.
Section – I (Logical Reasoning)
 Direction Sense Test,
 Mathematical Operations,
 Number Ranking & Time Sequence Test,
 CodingDecoding,
 Distance,
 Speed,
 Time,
 General Reasoning
Section – II (Mathematical Reasoning)
 Real Numbers
 Polynomials
 Pair of Linear Equations in Two Variables
 Quadratic Equations
 Arithmetic Progressions
 Triangles
 Coordinate Geometry
 Introduction to Trigonometry
 Some Applications of Trigonometry
 Circles
 Constructions
 Areas Related to Circles
 Surface Areas and Volumes
 Statistics
 Probability
Section – III (Everyday Mathematics)
 The syllabus of this section will be based on the syllabus of Mathematical Reasoning.
 Sets
 Relations and Functions
 Mathematical Induction
 Logarithms
 Complex Numbers & Quadratic Equations
 Linear Inequations
 Sequences and Series
 Trigonometry
 Straight Lines
 Conic Sections
 Trigonometry
 Permutations and Combinations
 Binomial Theorem
 Statistics
 Mathematical Logic
 Limits and Derivatives
 Probability
 Introduction to 3D Geometry
 Verbal and NonVerbal Reasoning
 Relations and Function
 Trigonometry
 Matrices and Determinants
 Continuity and Differentiability
 Application of Derivatives
 Integration
 Application of Integration
 Differential Equation
 Vector Algebra
 Three Dimensional Geometry
 Linear Programming
 Probability
Exam Pattern for IMO
For classes 1st to 4th
 You have to answer 35 questions in 60 minutes.
 There will be a separate question paper for each class.
 Question paper will have these sections:
 Section I – Logical Reasoning (10 questions)
 Section II – Mathematical Reasoning (10 questions)
 Section III – Everyday Mathematics (10 questions)
 Section IV – Achievers Section (5 questions)
For classes 5th to 12th
 The participant has to answer 50 questions in 60 minutes.
 Question paper will have these sections:
 Section I  Logical Reasoning (15 questions)
 Section II  Mathematical Reasoning (20 questions)
 Section III  Everyday Mathematics (10 questions)
 Section IV  Achievers Section (5 questions)
How to apply
Eligibility Criteria for IMO
 Students of classes 1 to 12 are eligible to appear for the 1st level Olympiads.There is no other eligibility criterion like minimum marks.
 Students who qualify for the 2nd level of the exam include:
 Top 5% of students’, class wise, who appear for the 1st level exam.
 Zone wise top 25 rank holders, class wise.
 Class toppers from each participating school, where at least 10 students from a class appear in the exam, and score 50% qualifying marks.
 In case registration is received section wise, students with highest marks, irrespective of section will qualify for the 2nd level.
 For section wise registrations, winner(s) of gold medal may not necessarily qualify for the second level.
 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.
Registration for IMO
 You have to register for the exam from your school itself, because IMO does not accept individual participation from any other mode.
 The SOF IMO is open to the students of classes 1 to 12.
 Prospectus, containing the registration forms, are sent to all schools registered with SOF.
 Schools not registered may also request a prospectus by sending an email at [email protected]/.
 Schools must return the registration forms to SOF, duly filled in and completed in all respects, by the due date.
Application Fee for IMO
 A charge of Rs 125 (including 18% GST) towards cost of examination is payable by each participant for schools in India, Bangladesh, Bhutan and Nepal
 If you are suﬀering from any major physical disability or if you are an Indian student whose parent was martyred during defence operations, you are exempted from paying the fee.
 Further the school may collect an amount upto Rs 25 per student towards honorarium of incharge, remuneration to teachers, study material supplied by SOF and other miscellaneous expenses.
Admit Card for IMO
 Admit card for IMO 2018 exam will be issued by the Science Olympiad Foundation.
 You can download your admit card from the SOF official website.
 IMO admit card has details like your name, venue of the exam etc.
 It is a compulsory document that has to be carried to the exam centre.
Important dates
Exam Dates for IMO
Exam Name 
Exam Date 1 
Exam Date 2 
Exam Date 3 

11th IMO (1st Level) 
4th Dec 2018 
13th Dec 2018 
18th Dec 2018 
11th IMO (2nd Level) 
11th Feb 2019* 
– 
– 
* Dates are tentative and subject to change.
Results and cutoff
Results for IMO
 You can check the IMO Result 2018 through the official website
 You will have to enter your exam roll number, date of birth, etc. to get the result.
 The result for IMO 2018 will available online.
How to prepare
Preparation Tips for IMO
 Practice is the key: Practice as much as you can. 70% of your IMO preparation comprises of practice. Toppr offers over 3.5 lakh questions in our question bank to help you learn and strengthen concepts in each chapter.
 Take AllIndia Level mock tests: Give timebound mock tests in a completely examlike environment to improve your efficiency at attempting questions. Toppr offers an AllIndia Test Series that lets you compete with other students from all over India.
 Clear all your doubts: Don't get stuck with doubts. Discuss and clarify them with Subject Experts at Toppr to get an instant reply.
 Study from the best sources: NCERT and several recommended books for IMO are the minimum resources you need. Toppr offers the best study material from all over the web to help you prepare better.
 Revision is important: When you go through a formula or concept, maintain revision notes in the form of bullet points. Revision will be useful when the exam is close and a good revision pattern will take less time. Normally, without these notes, you would have to go through the entire chapter to understand important points once again.
Sample Papers for IMO
Solving sample papers and previous year papers is not only advisable, but also mandatory if you want to stay ahead of the stiff competition in IMO 2018. Solving sample papers will help you to prepare for the expected paper and its pattern, while also assisting you in learning efficient time management. You can also assess your own performance by practicing sample papers and judge your level of preparations for IMO 2018.
Previous Years’ Papers for IMO
Practising previous years’ IMO papers is important as it helps you simulate the real exam. Toppr provides you with a complete set of all question banks from previous years which you can practice to sharpen your skills.