Topics
Goods and Services Tax (G.S.T.)
Commercial Mathematics
Compound Interest
- Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
- Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
- Use of Formula
- Finding CI from the Relation CI = A – P
Banking
Algebra
Shares and Dividends
Geometry
Mensuration
Linear Inequations
Trigonometry
Quadratic Equations
- Quadratic Equations
- Method of Solving a Quadratic Equation
- Factorisation Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Equations Reducible to Quadratic Equations
Statistics
Ratio and Proportion
Probability
Factorisation of Polynomials
- Function and Polynomial
- Division Algorithm for Polynomials
- Remainder Theorem
- Factor Theorem
- Applications of Factor Theorem
Matrices
Arithmetic and Geometric Progression
Co-ordinate Geometry
- Co-ordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
- Combination of Reflections
- Using Graph Paper for Reflection
Symmetry
Similarity
Loci
- Locus
- Points Equidistant from Two Given Points
- Points Equidistant from Two Intersecting Lines
- Summary of Important Results on Locus
- Important Points on Concurrency in a Triangle
Circles
Tangent and Secant Properties
Constructions
Area and Volume of Solids (Cylinder, Cone and Sphere)
- Mensuration of Cylinder
- Hollow Cylinder
- Mensuration of Cones
- Mensuration of a Sphere
- Hemisphere
- Conversion of Solids
- Solid Figures
- Problems on Mensuration
Trigonometrical Identities
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Probability
- Formula: Investment
- Formula: No. of Shares
- Formula: Income (Dividend)
- Formula: Total Dividend
- Formula: Rate of return
- Definition: A Relation for a shareholder
CISCE: Class 10
Formula: Dividend / Income
Dividend (Income) = Face Value × No. of shares × $$\frac{Rate\ of\ dividend}{100}$$
CISCE: Class 10
Formula: Investment (Amount Invested)
CISCE: Class 10
Formula: Number of Shares
$$\text{No. of shares} = \frac{\text{Investment}}{\text{Market Value of 1 share}}$$
$$
\text{No. of shares} = \frac{\text{Total Income}}{\text{Dividend on 1 share}}$$
CISCE: Class 10
Formula: Rate of Return
\[\text{Rate of Return}=\frac{\text{Annual Income}}{\text{Investment}}\times100\]
CISCE: Class 10
Formula: Total Dividend Earned
Total dividend earned = No. of shares × rate of dividend × N.V. of a share
