IMO Math Olympiad Syllabus

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IMO 2019 Exam Syllabus

  • International Mathematics Olympiad (IMO), which is one of the most prestigious examination for mathematics enthusiasts, will see its 13th edition organized in December in two stages by Science Olympiad Foundation (SOF).
  • Any student from class 1 to 12 can take part in the examination as per the guidelines are given by SOF.
  • This article focuses on the latest IMO exam pattern and IMO syllabus for each class.

IMO Syllabus for Class 1

Knowledge Ability
1. Number sense 1. Patterns
2. Addition 2. Measuring Units
3. Subtraction 3. Geometrical Shapes
4. Lengths, weights and comparison 4. Odd One Out
5. Time 5. Spatial Understanding
6. Money 6. Grouping
7. Geometrical Shapes 7. Analogy
  8. Ranking Test

IMO Syllabus for Class 2

Knowledge Ability
1. Number sense 1. Patterns
2. Computation operations 2. Measuring Units
3. Length, Weight, Capacity and Temperature 3. Geometrical Shapes
4. Time and Money 4. Odd One Out
5. Lines, Shapes and Solids 5. Analogy
6. Patterns 6. Ranking Test
7. Pictographs 7. Grouping of Figures and Embedded Figures
  8. Coding and Decoding

IMO Syllabus for Class 3

Knowledge Ability
1. Number Sense 1. Patterns
2. Computation Properties 2. Analogy and Classification
3. Fractions 3. Alphabet Test
4. Money 4. Coding and Decoding
5. Length, Weight, Capacity, Time and Temperature 5. Ranking Test
6. Geometry 6. Grouping of Figures and Figure Matrix
7. Data Handling 7. Mirror Images
  8. Geometrical Shapes
  9. Embedded Figures
  10. Days and Dates and Possible Combinations

IMO Syllabus for Class 4

Knowledge Ability
1. Number Sense 1. Patterns
2. Computation Operations 2. Alphabet test
3. Fractions 3. Coding and Decoding
4. Length, Weight, Capacity, Time and Money 4. Ranking Test
5. Geometry 5. Mirror Images
6. Data Handling 6. Geometrical Shapes and Solids
  7. Embedded Figures
  8. Direction Sense Test
  9. Days and Dates and Possible Combinations
  10. Analogy and Classification

IMO Syllabus for Class 5

Knowledge Ability
1. Number Sense 1. Patterns
2. Computation Operations 2. Analogy and Classification
3. Fractions and Decimals 3. Geometrical Shapes
4. Measurements 4. Mirror and Water Images
5. Angles 5. Direction Sense Test
6. Perimeter and Area 6. Ranking Test, Alphabet Test and Logical Sequence of Words
7. Symmetry 7. Puzzle Test
8. Data Handling 8. Coding and Decoding

IMO Syllabus for Class 6

Knowledge Ability
1. Knowing Our Numbers 1. Series Completion and Inserting the Missing Character
2. Whole Numbers 2. Analogy and Classification
3. Playing with Numbers 3. Coding and Decoding
4. Basic Geometrical Ideas 4. Mathematical Operations
5. Understanding Elementary Shapes 5. Blood Relations
6. Integers 6. Direction Sense Test
7. Fractions 7. Logical Venn Diagrams
8. Decimals 8. Alpha-Numeric, Sequence Puzzle
9. Data Handling 9. Analytical Reasoning
10. Mensuration 10. Mirror and Water Images
11. Algebra 11. Embedded Figures, Figure Formation
12. Ratio and Proportion 12. Paper-folding and Paper Cutting
13. Symmetry 13. Cubes and Dice
14. Practical Geometry 14. Figure Matrix
  15. Dot Situation

IMO Syllabus for Class 7

Knowledge Ability
1. Integers 1. Series Completion and Inserting the Missing Character
2. Fractions and Decimals 2. Analogy and Classification
3. Rational Numbers 3. Coding and Decoding
4. Data Handling 4. Mathematical Operations
5. The Triangle and its properties 5. Blood Relations
6. Congruence of Triangles 6. Direction Sense Test
7. Comparing Quantities 7. Logical Venn Diagrams
8. Practical Geometry 8. Alpha-Numeric, Sequence Puzzle
9. Perimeter and Area 9. Analytical Reasoning
10. Simple Equations 10. Mirror and Water Images
11. Algebraic Expressions 11. Embedded Figures, Figure Formation
12. Exponents and Powers 12. Paper-folding and Paper Cutting
13. Symmetry 13. Cubes and Dice
14. Lines and Angles 14. Figure Matrix
15. Visualising solid shapes 15. Dot Situation

IMO Syllabus for Class 8

Knowledge Ability
1. Rational Numbers 1. Series Completion and Inserting the Missing Character
2. Linear Equations in One Variable 2. Analogy and Classification
3. Understanding Quadrilaterals 3. Coding and Decoding
4. Practical Geometry 4. Blood Relations
5. Data Handling 5. Direction Sense Test
6. Squares and Square Roots 6. Logical Venn Diagrams
7. Cubes and Cube Roots 7. Alpha-Numeric, Sequence Puzzle
8. Comparing Quantities 8. Mathematical Operations
9. Algebraic Expressions and Identities 9. Analytical Reasoning
10. Visualising Solid Shapes 10. Mirror and Water Images
11. Mensuration 11. Embedded Figures, Figure Formation
12. Exponents and Powers 12. Paper-folding and Paper Cutting
13. Direct and Inverse Proportions 13. Cubes and Dice
14. Factorisation 14. Dot Situation

IMO Syllabus for Class 9

Knowledge Ability
1. Number Systems 1. Series Completion
2. Polynomials 2. Analogy
3. Coordinate Geometry 3. Classification
4. Linear Equations in Two Variables 4. Coding – Decoding
5. Introduction to Euclid’s Geometry 5. Blood Relations
6. Lines and Angles 6. Puzzle Test
7. Triangles 7. Sequential Output Tracing
8. Quadrilaterals 8. Direction Sense Test
9. Areas of Parallelograms and Triangles 9. Logical Venn Diagrams
10. Circles 10. Alphabet Test and Logical Sequence of words
11. Constructions 11. Alpha – Numeric, Number, Ranking 
12. Heron’s Formula 12. Mathematical Operations
13. Surface Areas and Volumes 13. Inserting the Missing Character
14. Statistics  
15. Probability  

IMO Syllabus for Class 10

Knowledge Ability
1. Real Numbers 1. Series Completion
2. Polynomials 2. Analogy
3. Pair of Linear Equations in Two Variables 3. Classification
4. Quadratic Equation 4. Coding – Decoding
5. Arithmetic Progressions 5. Blood Relations
6. Triangles 6. Puzzle Test 
7. Coordinate Geometry 7. Sequential Output Tracing
8. Introduction to Trigonometry 8. Direction Sense Test
9. Some Applications of Trigonometry 9. Logical Venn Diagrams
10. Circles 10. Alphabet Test and Logical Sequence of words
11. Construction 11. Alpha – Numeric, Number, Ranking 
12. Areas Related to Circles 12. Mathematical Operations
13. Surface Areas and Volumes 13. Inserting the Missing Character
14. Statistics  
15. Probability  

Syllabus for Logical Reasoning

  • The syllabus for logical reasoning for classes 1 to 5 is identical, except for the minor additions and increased difficulty at each grade. The common topics asked are Patterns, Odd One Out, Coding-Decoding, Analogy, Grouping, Ranking, Geometrical shapes. 
  • For grade 3, topics such as Mirror Images, Dates and Days have introduced. Likewise, for grades 4 and 5, puzzles, logical sequences, possible combinations, direction tests are added. As it can be seen that there is no clear distinction between the syllabuses for each class, so the candidates should practice as much as they can to hone their skills from the prescribed material as discussed later.
  • For classes 6 to 12, SOF tests the verbal and non-verbal reasoning aptitudes of the candidates. Again, the questions asked are the same, but the complexity and information provided within each question ascend with each grade. Therefore, regular and analytical practice is recommended to ace this section.

Syllabus for Mathematical Reasoning

  • The course for mathematical reasoning for classes 1 to 5 starts from the basic knowledge of numbers, addition, subtraction, time, money. It then extends to temperature, capacity, shapes for grade 2. 
  • Geometry is introduced in grade 3 along with data handling. The concepts of geometry are extended to perimeters and symmetry in grade 4.
  • Decimals and fractions are also tested. Areas of squares and rectangles are also in the syllabus for grade 5.
  • The course for class 6 takes a major leap by including mensuration, ratio and proportions, a broader knowledge of numbers, algebra, and practical geometry. 
  • Grade 7 students are tested on additional concepts of linear equations, congruency, lines and angles, comparing quantities, and visualizing solid shapes. Questions on square and cube roots, graphs, quadrilaterals, construction, variations, exponents, and powers are introduced for class 8 students.
  • The syllabus for class 9 again sees a major jump to areas such as probability and statistics, coordinate geometry, surface areas and volumes, Heron’s formula, Euclid’s geometry polynomials, and linear equations in two variables. 
  • The class 10 syllabus is the same except for the introduction of trigonometry, arithmetic progressions, and real numbers.
  • Grade 11 students are expected to know limits and derivatives, permutations and combinations, logarithms, 3-D geometry, sets, relations and functions, binomial theorem, quadratic equations, mathematical induction, and linear inequations along with advanced trigonometry.
  • The class 12 syllabus dives into differential and integral calculus with vectors, matrices and determinants, and linear programming with functions.

IMO 2019 Exam Paper Pattern

  • The International Math Olympiad invites students from Classes 1 to 12 to take part in the exam and showcase their talent at the international level.
  • The test is conducted in two levels and the first level is held in the applicants’ respective schools during their school hours.
  • The Olympiad question papers will be in English. Authorities follow the syllabus of CBSE, ICSE, and State Boards to set the question papers for the students.

IMO Level 1 Exam

For Classes 1 to 4

The participant has to answer 35 Questions in 60 Minutes. There will be a separate question paper for each class. Question paper will have four sections:

No. Section Total Questions Marks Per Question Total Marks
I Logical and Analytical Reasoning 10 1 10
II Mathematical Reasoning 10 1 10
III Everyday Mathematics 10 1 10
IV Achievers Section 5 2 10
    35   40

For Classes 5 to 12

The participant has to answer 50 Questions in 60 Minutes. There will be a separate question paper for each class. Question paper will have four sections:

No. Section Total Questions Marks Per Question Total Marks
I Logical and Analytical Reasoning 15 1 15
II Mathematical Reasoning 20 1 20
III Everyday Mathematics 10 1 10
IV Achievers Section 5 3 15
    50   60

IMO Level 2 Exam

  • The Level 2 Exam is held for students belonging from Class 3 to Class 12. There are certain criteria to decide who qualifies to the IMO 2nd level exam.
  • Weightage is given to the top 5% of the students in every class, who had appeared in the Math Olympiad Level 1. If there’s a tie between two candidates, weightage will be given to their scores in the separate sections.
  • The 25 top scorers in every class and zone.
  • The topper of the class from which a minimum of 10 students have applied if he/she has scored 50% of the qualifying scores. If registration is received by the section, the topper, irrespective of which section he/she belongs to, will qualify for the IMO 2nd level exam. If registrations have been done section-wise, it isn’t necessary that the gold medal winners will qualify for Level 2.
  
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