# International Mathematics Olympiad - Sample Paper

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The actual test paper has 50 questions. Time allowed : 60 minutes. There are 3 sections: 15 questions in section I, 15 in section II and 20 in section III.

Section – I (Mental Ability) : Sets, Relations and Functions, Mathematical Induction, Logarithms, Complex Numbers & Quadratic Equations, Linear Inequations, Differentiation, Sequences and Series (A.P. & G.P. Misc.), Trigonometry, Cartesian System of Rectangular Coordinates, Straight Lines and Family of Straight Lines, Circles, Conic Section, Trigonometry, Permutations and Combinations, Binomial Theorem, Statistics, Mathematical Logic, Limits, Probability, Introduction to 3-D Geometry. Section – II (Logical and Analytical Reasoning) : Verbal and Non-verbal Reasoning. Section – III (Computers and IT) : History, Generation and Types of Computers, Working with OS, Input, Output & Memory Devices, Data Representation, Basics of IT, Internet Services and Protocols, Introduction to XML, Networking, Viruses and Antiviruses, Introduction to C++ till Data Structures. The actual test paper has 50 questions. Time allowed : 60 minutes. There are 2 sections: 20 questions in section I and 30 in section II. SYLLABUS Section I (Mathematics) : Sets, Relations and Functions, Mathematical Induction, Logarithms, Complex Numbers & Quadratic Equations, Linear Inequations, Differentiation, Sequences and Series (A.P. & G.P. Misc.), Trigonometry, Cartesian System of Rectangular Coordinates, Straight Lines and Family of Straight Lines, Circles, Conic Section, Trigonometry, Permutations and Combinations, Binomial Theorem, Statistics, Mathematical Logic, Limits, Probability, Introduction to 3-D Geometry, Verbal and Non-Verbal Reasoning. OR Section I (Biology) : Diversity in the Living World, Structural Organisation in Plants and Animals, Cell : Structure and Functions, Plant Physiology, Human Physiology. Section II (Physics & Chemistry) : Physics: Units & Measurements, Mechanics, Properties of Matter, Heat &...

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