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Class 11 - Maths Olympiad Preparation - Online chapter-wise tests

 

      • Online chapter-wise practice tests for Class 11 students preparing for International Mathematics Olympiad exams like IMO, iOM, IAIS Maths, ASSET Maths, NIMO, NSTSE and others.

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Chapter | Binomial theorem

statement and proof of the binomial theorem for positive integral indices. Pascal's triangle, General and middle term in binomial expansion, simple applications.

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Chapter | Sets, Relations and functions

Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function.

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Chapter | Permutations & Combinations

Online test Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation and their connections, simple applications.

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Chapter | Linear inequalities

Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical representation of linear inequalities in two variables.

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Chapter | Sequences and Series

Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of first nterms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.

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Chapter | Probability

Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, 'not', 'and' and 'or' events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories studied in earlier classes. Probability of an event, probability of 'not', 'and' and 'or' events.

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Chapter | Statistics

Measures of dispersion: Range, mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.

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