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ICSE Class IX Mid-term 2024 : English Paper 1 (English Language) : Final exam

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MATHEMATICS (51) CLASS X There will be one written paper of two and a half hours duration carrying 80 marks and Internal Assessment of 20 marks. Certain questions may require the use of Mathematical tables (Logarithmic and Trigonometric tables). 1. Commercial Mathematics (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: (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. (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. (ii) Banking Recurring Deposit Accounts: computation of interest and maturity value using the formula: I =P n(n + 1) r 2 12 100 (v) Matrices MV=P n+I (a) Order of a matrix. Row and column matrices. 2. Algebra (i) Linear Inequations (b) Compatibility multiplication. 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 addition and (c) Null and Identity matrices. (d) Addition and matrices. subtraction of 2 2 (e) Multiplication of a 2 2 matrix by a non-zero rational number a matrix. (vi) Arithmetic Progression (a) Nature of roots for Two distinct real roots if b2 4ac > 0 Two equal real roots if b2 4ac = 0 No real roots if b2 4ac < 0 1 Finding the General term of an A.P. Finding Sum of first n terms of an A.P.

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