Chapter : 1 Commercial Mathematics

problems involving discounts, list-price, profit, loss, basic/cost price including inverse cases

find price paid by the consumer after paying SGST and CGST

Chapter : 2 Algebra

Algebraically and writing the solution in set notation form

Representation of solution on the number line

Quadratic Equations in one variable

Nature of roots

Solving Quadratic equations by Factorisation

Solving Quadratic equations by using Formula

Solving simple quadratic equation problems

Proportion, Continued proportion, mean proportion

Componendo, dividendo, alternendo, invertendo properties and their combinations

Factor Theorem

Remainder Theorem

Factorising a polynomial completely after obtaining one factor by factor theorem

Order of a matrix. Row and column matrices

Compatibility for addition and multiplication

Null and Identity matrices

Addition and subtraction of 2×2 matrices.

Multiplication of a 2×2 matrix by a non-zero rational number

Multiplication of a 2×2 matrix by a matrix

Reflection

Section and Mid-point formula

Equation of a line: Slope –intercept form y = mx + c

Equation of a line: Two- point form (y-y1) = m(x-x1)

Conditions for two lines to be parallel or perpendicular

Chapter : 3 Geometry

Comparison with congruency, keyword being proportionality

Three conditions: SSS, SAS, AA. Simple applications

Applications of Basic Proportionality Theorem

Areas of similar triangles are proportional to the squares of corresponding sides

Chapter : 4 Mensuration

Chapter : 5 Trigonometry

Chapter : 6 Statistics

Computation of : Mean, median, mode for raw and arrayed data

Mean, median class and modal class for grouped data.

Mean by all 3 methods - Direct, Short Cut, Step-Deviation

Finding the mode from the histogram,

the upper quartile, lower Quartile and median from the ogive

Calculation of inter Quartile range

Chapter : 7 Probability

Simple problems on single events

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