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
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