MATH (i) Comparative newspaper coverage of different items. (ii) Planning a home budget. (iii) Find by construction the center of a circle, using only a 60 − 30 setsquare and a pencil. (iv) Survey of various types of Bank accounts, rate of interest offered.
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1 MATHEMATICS (51) CLASS X 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)Goods and Services Tax (GST) Computation of tax including problems involving discounts, list-price, profit, loss, basic/cost price including inverse cases. Candidates are also expected to find price paid by the consumer after paying State Goods and Service Tax (SGST) and Central Goods and Service Tax (CGST) - the different rates as in vogue on different types of items will be provided. Problems based on corresponding inverse cases are also included. (ii)Banking Recurring Deposit Accounts: computation of interest and maturity value using the formula: =(+ 1)2 × 12×100MV = P ×n + I 2.Algebra (i)Linear Inequations Linear Inequations in one unknown for x ∈N, W, Z, R. Solving Algebraically and writing the solution in set notation form. Representation of solution on the number line. (ii)Quadratic Equations in one variable (a)Nature of roots Two distinct real roots if b2– 4ac > 0 Two equal real roots if b2 – 4ac = 0 No real roots I b2– 4ac < 0 (b)Solving Quadratic equations by: Factorisation 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. (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 a non-zero
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