Mathematics (50) :
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Ratio and Proportion : Continued proportion, Extremes, Means, Direct and Inverse proportion, practical problems.
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Exponents : Concept of Base, Power, Co-efficient, Simplification of numbers with exponents, Finding values, Square and square root.
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Expressing large numbers in standard or exponential forms.
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Various types of Fractions, Sorting of more than two fractions, Comparing by cross-multiplication, annexing zeros at the end of the decimal part, Square root of fractions and Decimals.
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Problems related to Percentage, Unitary method, Time and Distance, Time and Work, Pipes and Cisterns, Boats and Streams, Simple Interest, L.C.M. and H.C.F.
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Formation of algebraic expression from practical problems, Addition, Subtraction, Multiplication, Division of polynomials with two variables of degree 2, Finding values, Simplification.
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Algebraic Formulas (a+b)2, (a-b)2, (a+b)2+(a-b)2, (a+b)2 – (a-b)2, ab as difference of two squares, (x+y+z)2, Simplification, Finding values of variables.
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Formation and Solution of algebraic linear equation.
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Angles of different measurements, Bisection of an angle, Perpendicular bisector, hypotenuse, Properties of triangles, related to sides and angles, Pythagoras’ Theorem.
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Alternate angles, Corresponding angles with reference to parallel lines.
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Construction of triangles, quadrilaterals, polygons, squares, rectangles, trapeziums, parallelograms, rhombus etc, where any side, angle, diagonal is given.
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Reflection and Rotational Symmetry.
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Area and Perimeter of two-dimensional figures.
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Bar graphs, Pie charts. Logical reasoning. Patterns. Coding and Decoding, Analogy test. Everyday mathematics.
English (50) :
Present, Past and Future tenses, Negative and Interrogative sentences in continuous tenses, Different types of Nouns and Pronouns, common usage of Preposition, Auxiliary verbs, Adjectives, Articles, Punctuation marks, use of apostrophe, Direct and Indirect speech, Replacing a group of words with a single word, Active and Passive Voices, Correction of wrongly spelt word, Correct order of sentences to make a meaningful paragraph, Preparing a poster, Comprehension test, Crossword Puzzle.