Topics
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
Commercial Mathematics
Goods and Services Tax (G.S.T.)
Banking
Algebra
Geometry
Shares and Dividends
Symmetry
Mensuration
Linear Inequations
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
Trigonometry
Statistics
Problems on Quadratic Equations
- Method for Solving a Quadratic Word Problem
- Problems Based on Numbers
- Problems on Ages
- Problems Based on Time and Work
- Problems Based on Distance, Speed and Time
- Problems Based on Geometrical Figures
- Problems on Mensuration
- Problems on C.P. and S.P.
- Miscellaneous Problems
Ratio and Proportion
Probability
Remainder Theorem and Factor Theorem
- Function and Polynomial
- Division Algorithm for Polynomials
- Remainder Theorem
- Factor Theorem
- Applications of Factor Theorem
Matrices
Arithmetic Progression
Geometric Progression
Reflection
- Co-ordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
- Combination of Reflections
- Using Graph Paper for Reflection
Section and Mid-Point Formulae
Equation of a Line
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
Angle and Cyclic Properties of a Circle
Tangent Properties of Circles
Constructions
Volume and Surface Area 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
Graphical Representation of Statistical Data
Measures of Central Tendency (Mean, Median, Quartiles and Mode)
Probability
CISCE: Class 10
Definition: Capital
The total amount of money needed to run the company is called the capital.
CISCE: Class 10
Definition: Shares
A share is the smallest unit of the capital of a company. The capital of a company is divided into small equal parts, each of which is called a share.
Definition: Shareholder
A shareholder is a person who owns one or more shares of a company. A shareholder is a part owner of the company in proportion to the number of shares held.
Definition: Stock Exchange
A stock exchange is a place where the buying and selling of shares takes place. It is also known as the share market or capital market.
CISCE: Class 10
Definition: Dividend
The annual profit distributed among shareholders is called a dividend.
CISCE: Class 10
Definition: Face Value / Nominal Value / Par Value (F.V. / N.V.)
The value of a share printed on the share certificate is called its Nominal Value, or Face Value, or Par Value.
CISCE: Class 10
Definition: Market Value of a Share (M.V.)
The shares of different companies can be bought or sold in the market through the stock exchange.
Formula: Sum Invested
Sum Invested = Number of shares × Market Value
Formula: Rate of Return
\[\text{Rate of Return}=\frac{\mathrm{Dividend}}{\text{Market Value}}\times100\]
CISCE: Class 10
Key Points: Important Facts of Share
| Term | Short Explanation |
|---|---|
| Share | The smallest unit of a company’s capital. |
| Dividend | Part of the company’s profit is distributed per share, calculated on Face Value. |
| Stock Exchange | Market where shares are bought and sold (e.g. BSE, NSE). |
| Market Index | Indicator of stock market performance (SENSEX – BSE, NIFTY – NSE). |
| Face Value (FV) | Value printed on the share certificate (also called par value). |
| Market Value (MV) | The price at which a share is bought/sold in the market. |
| MV > FV | Shares issued at a premium. |
| MV = FV | Share issued at Par. |
| MV < FV | Shares issued at a discount. |
| Sum Invested | Total amount spent to buy shares. Formula: Number of shares × MV |
| Rate of Return (RoR) | Percentage return on investment. Formula: (Dividend ÷ MV) × 100 |
