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
- Definition: CGST
- Definition: SGST / UTGST
- Definition: IGST
- Intra-state vs inter-state supply
- GST calculations
CISCE: Class 10
Definition: Intra-state & Inter-state
Intra-state means: supply within the same state.
Inter-state means: supply between two different states or a state and a UT.
CISCE: Class 10
Definition: Central-GST (CGST)
For any intrastate supply (within the state), half of the GST collected as output GST is deposited with the Central Government as CGST.
Example: If GST = 18%, CGST = 9%
CISCE: Class 10
Definition: State-GST (SGST)/Union territory GST (UGST)
For any local supply (supply within the same state or Union Territory), half of the output GST is deposited with the respective state or UT Government as the beneficiary. This is known as SGST/UGST.
Example: If GST = 18%, SGST/UGST = 9%
CISCE: Class 10
Definition: Integrated-GST (IGST)
The GST levied on the supply of goods or services in case of interstate trade within India or for exports/imports is known as IGST.
The entire tax collected under IGST is paid to the account of the Central Government.
Example: If GST = 18%, IGST = 18%
