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ICSE Class X SYLLABUS 2019 : Mathematics (Amarvani School, Angul)

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Anil Kumar Dash
Saint Lawrence School (SLS), Tentoloi, Balaramprasad, Angul

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LATEST SYLLABUS Mathematics CLASS 10 There will be one paper of two and a half hours duration carrying 80 marks and Internal Assessment of 20 marks. The paper will be divided into two sections, Section I (40 marks), Section II (40 marks). Section I: Will consist of compulsory short answer questions. Section II: Candidates will be required to answer four out of seven questions. 1. Commercial Mathematics (i) Value Added Tax Computation of tax including problems involving discounts, list-price, profit, loss, basic/cost price including inverse cases. (ii) Banking Recurring Deposit Accounts : computation of interest and maturity value using the formula: n( n + 1) r I= P 2 12 100 2. MV = P x n + I (iii) Shares and Dividends (a) Face/Nominal value, Market Value, Dividend, Rate of Dividend, Premium. (b) Formulae l Income = number of shares rate of dividend FV. l Return = (Income/Investment) 100. Note : Brokerage and fractional shares not included. Algebra (i) Linear Inequations Linear Inequations in one unknown for x N, W, Z, R. Solving l Algebraically and writing the solution in set notation form. l Representation of solution on the number line. (ii) Quadratic Equations in one variable (a) Nature of roots l Two distinct real roots if b2 4ac > 0 l Two equal real roots if b2 4ac = 0 l No real roots if b2 4ac < 0 (b) Solving Quadratic equations by: l Factorisation l Using Formula. (c) Solving simple quadratic equation problems. (iii) Ratio and Proportion (a) Proportion, Continued proportion, mean proportion. (b) Componendo, dividendo, alternendo, invertendo properties and their combinations. (c) Direct simple applications on proportions only. 3. (iv) Factorisation of polynomials: (a) Factor Theorem. (b) Remainder Theorem. (c) Factorising a polynomial completely after obtaining one factor by factor theorem. Note : f (x) not to exceed degree 3. (v) Matrices (a) Order of a matrix. Row and column matrices. (b) Compatibility for addition and multiplication. (c) Null and Identity matrices. (d) Addition and subtraction of 2 2 matrices. (e) Multiplication of a 2 2 matrix by l a non-zero rational number l a matrix. (vi) Arithmetic and Geometric Progression l Finding their General term. l Finding Sum of their first n terms. l Simple Applications. (vii) Co-ordinate Geometry (a) Reflection (i) Reflection of a point in a line : x=0, y =0, x= a, y=a, the origin. (ii) Reflection of a point in the origin. (iii) Invariant points. (b) Co-ordinates expressed as (x,y), Section formula, Midpoint formula, Concept of slope, equation of a line, Various forms of straight lines. (i) Section and Mid-point formula (Internal section only, co-ordinates of the centroid of a triangle included). (ii) Equation of a line: l Slope intercept form y = mx + c l Two- point form (y-y1) = m(x-x1) Geometric understanding of m as slope/ gradient tanq where q is the angle the line makes with the positive direction of the x axis. Geometric understanding of c as the y-intercept/the ordinate of the point where the line intercepts the y axis/ the point on the line where x=0. l Conditions for two lines to be parallel or perpendicular. Simple applications of all the above. Geometry (a) Similarity Similarity, conditions of similar triangles.

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