| ARITHMETIC |
Top |
| Chapter – 1 (Basic Arithmetic Concepts) |
1 hr |
- Concept of set
- Number System
- Signed numbers (Addition, subtraction, multiplication and division)
- Factors, multiples, LCM, GCF
- Exponents and Roots
- PEDMAS rule for simplification
- Concept of inequality
|
| Chapter – 2 (Fractions and Decimals) |
1 hr |
- Types of fraction (Proper, Improper, mixed numbers)
- Comparing fractions and decimals.
- Equivalent fraction
- Arithmetic operations on fractions and decimals.
- Arithmetic operations with mixed numbers.
- Complex fractions
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| Chapter - 3 (Percent) |
1 hr |
- Solving percent problems
- Percent increase and decrease
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| Chapter - 4 (Ratio and Proportion) |
1 hr |
- Concept of ratio and proportions
- Problem on ratio and proportions
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| Chapter - 5 (Averages) |
1 hr |
- Concept
- Problems on averages
- Problems on compound averages
|
| ALGEBRA |
Top |
| Chapter – 6 (Polynomials) |
1 hr |
- What is polynomial? Type of polynomials
- Addition, subtraction, multiplication and division of polynomials
- Factoring a polynomial with concept of HCF & LCM
|
| Chapter – 7 (Solving equations and inequalities) |
1 hr |
- Different methods of solving linear equation: substitution, elimination
- Concept of Inequalities
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| Chapter –8 (Word Problems) |
2 hrs |
- How to convert any word problem in to a mathematical expression
- How to get correct answer from the choices
|
| GEOMETRY |
Top |
| Chapter –9 (Lines and Angles) |
1 hr |
- Basic geometric concepts
- Different types of angles
- Parallel lines and angles made by a transversal
|
| Chapter –10 (Triangles) |
2 hrs |
- Different types of triangle
- Angle sum property of triangle
- Exterior angle property of triangle
- Side and angle properties of triangle
- Pythagorean Theorem for right angle triangle
- Property:
- Sum of any two sides of a triangle is greater than the third side
- The difference between the lengths of any two sides of a triangle is less than the third side
- Concept of similar triangles
- Concept of congruent triangles
|
| Chapter –11 (Quadrilaterals and other polygons) |
2 hrs |
- Quadrilateral and different types
- Properties of different types of quadrilateral
- Angle sum property of quadrilateral
- Angle sum property of polygon
- Area
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| Chapter –12 (Circles) |
2 hrs |
- Basics of circle
- Angle made by an arc at center
- Theorem: The angle made by an arc on the remaining part of a circle is half of the central angle made by the same arc
- Theorem: Angles made in same segment of a circle by an arc are equal
- Area and circumference of circle
- Properties of tangent to circle
- Concept of cyclic quadrilateral and its properties
|
| SOLID GEOMETRY |
Top |
| Chapter –13 (Solid Geometry) |
1 hr |
- Lateral surface area, Total surface area, Volume of cube and cuboids
- Length of diagonal of cube and cuboid
- Curved surface area, Total surface area and volume of cylinder
|
| Chapter –14 (Coordinate Geometry) |
2 hrs |
- Explanation of coordinate plane
- Distance between two points
- Coordinates of mid point
- Slope of a line
- Condition for two lines to be parallel or perpendicular
- Intercept on Y axis cut by a line
|
| MISC |
Top |
| Chapter –15 (Counting and Probability) |
2 hrs |
- Using arithmetic to count
- Principle of counting (Multiplication rule)
- Using Venn diagram
- Probability concept and questions
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| Chapter –16 (Logical Reasoning |
1 hr |
- Alphanumeric problems
- Sequences (AP, GP)
- Patterns
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| Chapter –17 (Interpretation of Data) |
1 hr |
- Reading of graph
- Pie chart
- Positive and negative correlation and line of fit
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| Chapter –18 (Functions and their Graph) |
1 hr |
- Finding value of function at a point
- Shifting of graph
- Concept of domain and range of a function
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