**International Mathematics Olympiad Question Papers-** International Mathematics Olympiad (IMO) is conducted by Science Olympiad Foundation (SOF) for students of Class 1 to 12. IMO is conducted every year. Here we are giving you question paper, syllabus and paper pattern of each class.

Contents

## IMO for Class 6

### IMO Paper Pattern for Class 6

Total Number of questions – 50

Time – 1 hour

Section | No. of Questions | Marks/question | Total Marks |

Logical Reasoning | 15 | 1 | 15 |

Mathematical Reasoning | 20 | 1 | 20 |

Everyday Mathematics | 10 | 1 | 10 |

Achievers Section | 5 | 3 | 15 |

Grand Total | 50 | 60 |

### IMO Paper Syllabus for Class 6

Section – 1 :Verbal and Non-Verbal Reasoning.

Section – 2 : 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.

Section – 3 : The Syllabus of this section will be based on the syllabus of Mathematical Reasoning.

Section – 4 : Higher Order Thinking Questions – Syllabus as per Section – 2.

### IMO Sample Paper for Class 6 Download

## IMO for Class 7

### IMO Paper Pattern for Class 7

Total Number of questions – 50

Time – 1 hour

Section | No. of Questions | Marks/question | Total Marks |

Logical Reasoning | 15 | 1 | 15 |

Mathematical Reasoning | 20 | 1 | 20 |

Everyday Mathematics | 10 | 1 | 10 |

Achievers Section | 5 | 3 | 15 |

Grand Total | 50 | 60 |

### IMO Paper Syllabus for Class 7

Section – 1 : Verbal and Non-Verbal Reasoning.

Section – 2 : Integers, Fractions and Decimals, Exponents and Powers, Algebraic Expressions, Simple Linear Equations, Lines and Angles, Comparing Quantities, The Triangle and its Properties, Symmetry, Congruence of Triangles, Rational Numbers, Perimeter and Area, Data Handling, Visualising Solid Shapes, Practical Geometry.

Section – 3 : The Syllabus of this section will be based on the syllabus of Mathematical Reasoning.

Section – 4 : Higher Order Thinking Questions – Syllabus as per Section – 2.

### IMO Sample Paper for Class 7 Download

## IMO for Class 8

### IMO Paper Pattern for Class 8

Total Number of questions – 50

Time – 1 hour

Section | No. of Questions | Marks/question | Total Marks |

Logical Reasoning | 15 | 1 | 15 |

Mathematical Reasoning | 20 | 1 | 20 |

Everyday Mathematics | 10 | 1 | 10 |

Achievers Section | 5 | 3 | 15 |

Grand Total | 50 | 60 |

### IMO Paper Syllabus for Class 8

Section – 1 : Verbal and Non-Verbal Reasoning.

Section – 2 :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 – 3 : The Syllabus of this section will be based on the syllabus of Mathematical Reasoning.

Section – 4 : Higher Order Thinking Questions – Syllabus as per Section – 2.

### IMO Sample Paper for Class 8 Download

## IMO for Class 9

### IMO Paper Pattern for Class 9

Total Number of questions – 50

Time – 1 hour

Section | No. of Questions | Marks/question | Total Marks |

Logical Reasoning | 15 | 1 | 15 |

Mathematical Reasoning | 20 | 1 | 20 |

Everyday Mathematics | 10 | 1 | 10 |

Achievers Section | 5 | 3 | 15 |

Grand Total | 50 | 60 |

### IMO Paper Syllabus for Class 9

Section – 1 : Verbal and Non-Verbal Reasoning.

Section – 2 : 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 – 3 : The syllabus of this section will be based on the syllabus of Mathematical Reasoning and Quantitative Aptitude.

Section – 4 : Higher Order Thinking Questions – Syllabus as per Section – 2.

### IMO Sample Paper for Class 9 Download

## IMO for Class 10

### IMO Paper Pattern for Class 10

Total Number of questions – 50

Time – 1 hour

Section | No. of Questions | Marks/question | Total Marks |

Logical Reasoning | 15 | 1 | 15 |

Mathematical Reasoning | 20 | 1 | 20 |

Everyday Mathematics | 10 | 1 | 10 |

Achievers Section | 5 | 3 | 15 |

Grand Total | 50 | 60 |

### IMO Paper Syllabus for Class 10

Section – 1 : Verbal and Non-Verbal Reasoning.

Section – 2 : 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 – 3 : The Syllabus of this section will be based on the syllabus of Mathematical Reasoning and Quantitative Aptitude.

Section – 4 : Higher Order Thinking Questions – Syllabus as per Section – 2.

### IMO Sample Paper for Class 10 Download

## IMO for Class 11

### IMO Paper Pattern for Class 11

Total Number of questions – 50

Time – 1 hour

Section | No. of Questions | Marks/question | Total Marks |

Logical Reasoning | 15 | 1 | 15 |

Mathematical Reasoning | 20 | 1 | 20 |

Everyday Mathematics | 10 | 1 | 10 |

Achievers Section | 5 | 3 | 15 |

Grand Total | 50 | 60 |

### IMO Paper Syllabus for Class 11

Section – 1 : Verbal and Non-Verbal Reasoning.

Section – 2 : Sets, Relations and Functions, Principle of Mathematical Induction, Logarithms, Complex Numbers & Quadratic Equations, Linear Inequations, Sequences and Series, Trigonometry, Straight Lines, Circles, Conic Sections, Permutations and Combinations, Binomial Theorem, Statistics, Mathematical Reasoning, Limits and Derivatives, Probability, Introduction to 3-D Geometry.

Section – 3 : The Syllabus of this section will be based on the Syllabus of Mathematical Reasoning and Quantitative Aptitude.

Section – 4 : Higher Order Thinking Questions – Syllabus as per Section – 2.

### IMO Sample Paper for Class 11 Download

## IMO for Class 12

### IMO Paper Pattern for Class 12

Total Number of questions – 50

Time – 1 hour

Section | No. of Questions | Marks/question | Total Marks |

Logical Reasoning | 15 | 1 | 15 |

Mathematical Reasoning | 20 | 1 | 20 |

Everyday Mathematics | 10 | 1 | 10 |

Achievers Section | 5 | 3 | 15 |

Grand Total | 50 | 60 |

### IMO Paper Syllabus for Class 12

Section – 1 : Verbal and Non-Verbal Reasoning.

Section – 2 : Relations and Functions, Inverse Trigonometric Functions, Matrices and Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, Probability, Linear Programming.

Section – 3 : The Syllabus of this section will be based on the Syllabus of Mathematical Reasoning and Quantitative Aptitude.

Section – 4 : Higher Order Thinking Questions – Syllabus as per Section – 2.

### IMO Sample Paper for Class 12 Download

You need to note that questions in level 1 Olympiad will be 60% from your current class syllabus, while other 40% will be from your previous class.

Level 2 Olympiad questions will be totally from your current class syllabus.

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