### IMO Class 12 Sample Paper

International Mathematics Olympiad 12 Sample Paper

The actual test paper has 50 questions.Time allowed : 60 minutes.There are 3 sections, 20 questions in section I, 20 in section II and 10 in section III.

**Section I : **Logical Reasoning, Section II :Mathematical Reasoning & Section III : Everyday Mathematics

**SYLLABUS**

Sets, Relations and functions, Mathematical induction, Logarithms, Complex numbers, Linear inequations, Quadratic equations, Sequences and series, Trigonometry, Cartesian system of rectangular coordinates, Straight lines and family of straight lines, Circles, Conic section, Permutations and combinations, Binomial theorem, Exponential and logarithmic series, Mathematical logic, Statistics & Probability, Three dimensional geometry, Vectors, Stocks, Shares and debentures, Average and partition values, Index numbers, Matrices and determinants, Limits, Differential calculus, Integral calculus, Verbal and nonverbal reasoning.

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