# ICSE Grade 10 - MATHS

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• ##### Compound Interest (Without Using Formula)
Compound Interest
Compound Interest compounded half yearly
Conversion Period
Relationship between Simple Interest and Compound Interest
• ##### Compound Interest (Using Formula)
Formula for Compound Interest
Rate for successive years
Calculate Principal
To find the Rate Percentage
To find the Time Period
Interest compounded half yearly
Other Applications- Growth, Depreciation, Population Problem
• ##### Sales Tax and Value Added Tax
Some Important Terms - Cost Price, Selling Price, List Price, Discount
Problems involving Discount
• ##### Banking
Functions of Bank
Types of Accounts - Saving Bank Account, Recurring Deposit Account
Calculating Interest
Computing Maturity Value of a Recurring Deposit Account
• ##### Shares and Dividend
Shares- Face/Nominal Value, Market Value
Dividend- Rate of Dividend
Discount
Income from Shares
Return
• ##### Linear Inequations (In one variable)
Solving a Linear Inequation Algebraically
Linear Inequations in one unknown for $x \in N, W, Z, R$
Replacement Set and Solution Set in Set Notation
Representation of Solution on the Number Line
Solving Quadratic Equation by using Formula
Discriminant
To Examine the Nature of the Roots
• ##### Solving Problems(Based on Quadratic Equations)
Word Problem based on Quadratic Equation
Problems based on Numbers
Problems based on Time and Work
Problems based on Geometrical Figures
Problems based on Speed Time and Distance
Problems based on Cost Price and Selling Price
• ##### Co-ordinate Geometry
Co- ordinate Axes
Co- ordinates-Abscissa, Ordinate
Reflection-Reflection of a point in a line: x=0, y=0, x=a, y=a
Reflection of a point in the origin
Invariant points
• ##### Ratio and Proportion
Increase or Decrease in a Ratio
Commensurable and Incommensurable Quantities
Ratio: Duplicate, Triplicate, Sub-Duplicate, Sub-Triplicate
Compounded Ratios
Continued Proportion
Mean Proportion
Properties-Componendo and Dividendo, Alternendo and Invertendo
Direct Applications
• ##### Remainder and Factor Theorems
Remainder Theorem : Basic Concept
Factor Theorem
Using the Factor Theorem to factorise the given polynomial
• ##### Matrices
Order of a matrix
Row and Column Matrices
Null and Identity Matrices
Addition and Subtraction of 2x2 Matrices
Multiplication of a 2x2 Matrix - By a non-zero rational number, By another matrix
• ##### Distance and Section Formulae
Distance Formula: Distance between two given points
Circumcentre of a Triangle
Section Formula: Point of Trisection
Mid -Point Formula
Centroid of a Triangle
• ##### Equation of a Line
Equation of a Line
Inclination of a Line
Concept of Slope- Slope or Gradient of a Straight
Parallel Lines
X- intercept, Y- intercept
Equation of a line - Slope-intercept form y = mx + c, Point-Slope form, Two Points form
Equally Inclined Lines
• ##### Symmetry
Lines of Symmetry- Isosceles Triangle, Equilateral Triangle, Rhombus, Square, Rectangle, Pentagon, Hexagon, Octagon (all regular) and Diamond Shaped Figure
To draw the Lines of Symmetry
More about Line Symmetry- Line, Line Segment, Angle
Scalene Triangle
Isosceles Triangle
• ##### Similarity
Axioms of Similarity of Triangles- SAS postulate, AAA postulate, SSS postulate
Basic Theorem of Proportionality
Relation between the Areas of two Triangles
Applications to Maps and Models
• ##### Loci
Loci-Definition, Meaning
Theorems based on Loci
Theorems based on Symmetry
Applications
• ##### Circles
Concentric Circles
Equal Circles
Circumscribed Circle
Chord and its Properties
Arc and its Types
Segments and Relation between Arcs and Segments
Cyclic Properties
Arc and Chord Properties
• ##### Tangent and Intersecting Chords
Tangent of a circle- Point of Contact
Direct Common Tangent
Transverse Common Tangent
Theorems
• ##### Constructions (Circles)
Construction of tangents to a circle from an external point
Construction of circumscribed and inscribed circles of a triangle
Construction of circumscribing and inscribing a circle on a regular hexagon
• ##### Circumference and Area of a Circle
Area and Circumference of a Circle
Circular Ring
Semi-circle - Area and Circumference of Semi-circle
• ##### Cone and Sphere
Cone - Right Circular Cone
Sphere
Area-Total Surface Area and Curved Surface Area
Volume
Conversion of Solid
Problems - Including cost, Inner and Outer volume,Melting and Recasting Method to find the Volume or Surface Area of a new solid
Combination of Solids
• ##### Trigonometrical Identities
Trigonometrical Ratios- Sine, Cosine, Tangent, Cotangent, Secant, Cosecant
Relation between Different Trigonometrical Ratio
Trigonometrical Identities
Trigonometrical Ratios of Complementary Angles
Use of Trigonometric Tables
• ##### Heights and Distances
Angles of Elevation and Depression
Line of Sight
Problems involving angles of Elevation and Depression using Trigonometric Tables
• ##### Graphical Representation
Graphical Representation- Histogram, Frequency Polygon, Ogive ( Cumulative Frequency Curve)
Histogram for Continuous Grouped Data
Cumulative Frequency Table
Less than Ogive
• ##### Measure of Central Tendency
Measures of Central Tendency- Mean, Median, Mode
Arithmetic Mean of Tabulated Data - Direct Method, Short-Cut Method, Step-Deviation Method
Median - Raw Data, Tabulated Data
Quartiles- Lower Quartile, Upper Quartile and Inter-Quartile
Range
• ##### Probability
Experiments- Random Experiments
Sample Space
Equally Likely Outcomes
Events
Definition of Probability- Empirical Probability, Classical Probability.