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
- GST as a value-added tax
- Definition: Reverse Charge Mechanism (RCM)
- Definition: Composition Scheme
CISCE: Class 10
Definition: GST on Value Addition
GST is charged only on the value added, i.e. the difference between the sale price and the purchase price.
GST payable = Output GST − Input GST.
Example:
- Purchase price = ₹5,000
- GST paid on purchase (Input GST @12%) = ₹600
- Sale price = ₹6,000
- GST collected on sale (Output GST @12%) = ₹720
GST payable to the government
= Output GST − Input GST
= ₹720 − ₹600
= ₹120
CISCE: Class 10
Definition: Reverse Charge Mechanism
Reverse Charge Mechanism (RCM) is a system in which the receiver of goods or services, instead of the supplier, is liable to pay GST to the Government.
Example:
If a registered business takes services from an unregistered supplier, then the receiver has to pay GST directly to the Government under the Reverse Charge Mechanism.
Maharashtra State Board: Class 10
CISCE: Class 10
CISCE: Class 10
Definition: Composition Scheme
The Composition Scheme is a scheme for small taxpayers with an annual turnover of less than ₹1.5 crore, under which they pay GST at a fixed low rate and cannot collect GST from customers.
