Math | O-Levels Year-2
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- Direct Proportion
- Problem-Direct Proportion
- Solving Problem Involving Direct Proportion
- Solving Word Problem by Using Unitary Method
- Other Forms of Direct Proportion
- Inverse Proportion
- Problem-Inverse Proportion
- Solving Problem Involving Inverse Proportion
- Other Forms of Inverse Proportion
Chapter 1 Direct and Inverse Proportions ( 12 videos) (Practice Test)
1.1: Direct Proportion (Practice Test)
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1.2: Algebraic and Graphical Representations of Direct Proportion
1.3: Other Forms of Direct Proportion
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1.4: Inverse Proportion
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1.5: Algebraic and Graphical Representations of Inverse Proportion
1.6: Other Forms of Inverse Proportion
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- Equations of a Straight Line
- Gradient of Straight Line
- Linear Distance-Time Graphs
- Scale of Graph
- Problem-Scale of Graph
- Drawing graph with given slopes & intercepts
- Scale of Graph
- Problem-Scale of Graph
- Coincident Points & Coincident Lines
- Problem-Perpendicular, Parallel lines
Chapter 2 Linear Graphs and Simultaneous Linear Equations ( 22 videos) (Practice Test)
2.1: Gradient of a straight line (Practice Test)
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2.2: Further applications of linear graphs in real-world contexts (Practice Test)
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2.4: Graphs of linear equations in the form ax+by=k (Practice Test)
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2.5: Solving simultaneous linear equations using graphical methods (Practice Test)
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2.6: Solving simultaneous linear equations using algebraic methods (Practice Test)
2.7: Applications of simultaneous equations in real-world contexts
- Addition of Polynomials
- Problem-Addition of Polynomials
- Problem1-Subtraction of Polynomials
- Multiplication of polynomials
- Problem-Multiplication of polynomials
- Division of polynomials
- Problem-Division of polynomials
- Product of Same Binomial
- More on Product of Same Binomial
- Problem-Product of Same Binomial
- Factorization of Quadratic Expressions
Chapter 3 Expansion and Factorization of Quadratic Expressions ( 18 videos) (Practice Test)
3.1: Quadratic Expressions (Practice Test)
3.2: Expansion and Simplification of Quadratic Expressions (Practice Test)
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3.3: Factorization of Quadratic Expressions (Practice Test)
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- Product of Same Binomial
- More on Product of Same Binomial
- Problem-Product of Same Binomial
- Difference of square of two terms
- Problem1-Difference of Square of Two Terms
- Problem2-Difference of Square of Two Terms
- Formulae
- Construction of Formulae
- Writing Algebraic Expressions
- Square of sum of two terms
- Problem1-Square of sum of two terms
- Problem2-Square of sum of two terms
- Square of difference of two terms
- Difference of square of two terms
Chapter 4 Further expansions and factorization of algebraic expressions ( 15 videos) (Practice Test)
4.1: Expansion using special algebraic identities (Practice Test)
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4.2: Factorization using special algebraic identities (Practice Test)
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- Quadratic Equations in 1 Variable
- Problem-Quadratic Equations in 1 Variable
- Solving Quadratic Equations by Factorization
- Solving Quadratic Equations-Completing Squares
- Solving Quadratic Equation-Quadratic Formula
Chapter 5 Quadratic Equations and Graphs ( 16 videos) (Practice Test)
5.1: Solving quadratic equations by factorization (Practice Test)
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5.2: Applications of quadratic equations in real-world contexts
5.3: Graphs of quadratic functions (Practice Test)
- Use of Brackets in Simplification
- Dividing & Multiplying Algebraic Expressions
- Adding and Subtracting Algebraic Expressions
- Changing the Subject of a Formula
- Finding an Unknown in a Formula
Chapter 6 Algebraic fractions and formulae ( 6 videos) (Practice Test)
6.1: Algebraic fractions
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6.2: Multiplication and division of algebraic fractions
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6.3: Addition and subtraction of algebraic fractions
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6.4: Manipulation of algebraic formulae (Practice Test)
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- Types of Relations
- Introduction to Function
- More on Introduction to Functions
- Problem1-Introduction to Function
- Problem2-Introduction to Function
- Problem3-Introduction to Function
- Problem4-Introduction to Function
- Finding Domain and Range of Functions
- Introducing Dependent and Independent Variables
Chapter 7 Relations and functions ( 9 videos) (Practice Test)
7.1: Relations
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7.2: Functions (Practice Test)
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- Congruent Figures and Objects
- Congruency Tests
- Problem-Congruency Tests
- Congruent Triangles
- Similarity and Enlargement
- Similarity and Scale Drawings
- Polygons
- Constructing Similar Triangles
Chapter 8 Congruence and similarity ( 16 videos) (Practice Test)
8.1: Congruent figures (Practice Test)
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8.2: Similar figures
8.3: Similarity, enlargement and scale drawings (Practice Test)
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- Translation of Axes
- Problem1-Translation of Axes
- Problem2-Translation of Axes
Chapter 9 Geometrical transformation ( 6 videos)
9.1: Rotation
9.2: Translation
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- Pythagoras Theorem
- Problem1-Pythagoras Theorem
- Problem2-Pythagoras Theorem
- Converse of Pythagoras Theorem
- Problem-Converse of Pythagoras Theorem
Chapter 10 Pythagoras' Theorem ( 6 videos) (Practice Test)
10.1: Pythagoras' Theorem
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10.2: Applications of Pythagoras' theorem in real-world contexts
10.3: Converse of Pythagoras' theorem
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- Trigonometric Ratios of 45 Degree
- Problem-Trigonometric Ratios of 45 Degree
- Trigonometric Ratios of 30 & 60 Degree
- Trigonometric Functions for a Unit Circle
- Values of Remaining Trigonometric Ratios
- Values of Trigonometric Ratios
- Tables of Trigonometric Ratios
- Problem1-Tables of Trigonometric Ratios
- Problem2-Tables of Trigonometric Ratios
- Problem3-Tables of Trigonometric Ratios
- Problem4-Tables of Trigonometric Ratios
- Heights and Distances
- Concept of Angle of Elevation & Depression
- Engineering and Heights and Distances
- Heights and Distances
- Problem-Heights and Distances
Chapter 11 Trigonometric ratios ( 41 videos) (Practice Test)
11.1: Trigonometric ratios (Practice Test)
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11.2: Applications of trigonometric ratios
11.3: Applications of trigonometric ratios
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11.4: Applications of trigonometric ratios in real-world contexts (Practice Test)
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- Cones
- Volume of Cones
- Comparison Between Pyramid and Cone
- Surface Area of Cones
- Volume of Sphere
- Surface Area of Sphere
- Volume of Cylinder
- Surface Area of Cylinder
Chapter 12 Volume and surface area of pyramids, cones and spheres ( 11 videos) (Practice Test)
12.1: Volume and surface area of pyramids (Practice Test)
12.2: Volume and surface area of cones (Practice Test)
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12.3: Volume and surface area of spheres
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12.4: Volume and surface area of composite solids
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Chapter 13 Symmetry ( 5 videos) (Practice Test)
13.1: Line symmetry (Practice Test)
13.2: Rotational symmetry in plane figures
- Set Definition
- Problem-Set Definition
- Set Notation and its Characteristics
- Problem-Set Notation & its Characteristics
- Some Important Sets of Numbers
- Descriptive and Tabular Notation
- Set Builder Notation
- Problem-Describing a Set
- Empty set and Singleton Set
- Problem1-Empty Set -Singleton Set
- Problem2-Empty Set & Singleton Set
- Equal and equivalent Sets
- Problem-Equal and equivalent Sets
- Introducing Venn Diagram
- Problem-Introducing Venn Diagram
- Universal Set
- Subset definition
- Problem-Subset
- Problem-Subset Definition
- Proper and Improper Subset
- Problem-Proper and Improper Subset
- Power Set
- Problem-Power Set
- Complement of a Set
- Problem-Complement of a Set
- Intersection of two sets
- Problem-Intersection of two sets
- Union of two sets
- Problem-Union of two sets
- Commutative Law of Union of Sets
- Problem-Commutative Law of Union of Sets
- Commutative Law of Intersection of Sets
- Intersection Associativity for Sets
- Union Associativity for Overlapping Sets
- Union Associativity for Disjoint Sets
- Union Associativity for Sets
- Problem-Union Associativity for Sets
- More on Union Associativity for Set
- Introducing Field
- Problem-Introducing Field
- Difference of Sets for Overlapping Sets
- Difference of Sets for Disjoint Sets
Chapter 14 Sets ( 61 videos) (Practice Test)
14.1: Introduction to set notations (Practice Test)
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14.2: Venn diagrams, universal sets and complement of a set (Practice Test)
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14.3: Intersection of two sets
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14.4: Union of two sets
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14.5: Combining universal set, complement of a set (Practice Test)
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- Introduction to Probability
- Problem-Introduction to Probabillity
- Definition of Probability
- Problem-Definition of Probability
- Experiments and Sample Space
- Problem-Experiments and Sample Space
- Possible Outcomes in the Sample Space
Chapter 15 Probability of single events ( 19 videos) (Practice Test)
15.1: Introduction to probability (Practice Test)
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15.2: Sample space
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15.3: Probability of single events (Practice Test)
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15.4: Further examples on probability of single events (Practice Test)
- Pictograms
- Reading bar graph
- Problem-Vertical Bar Graph
- Horizontal Bar Graph
- Introduction to Pie Graph
- Word Problem of Pie Graph
- Line Graphs
- Introducing Dot Diagram
- Stem and Leaf Diagram
- Introducing and Constructing Histogram
Chapter 16 Statistical diagrams ( 15 videos) (Practice Test)
16.1: Statistical diagrams (Practice Test)
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16.2: Dot diagrams
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16.3: Stem-and-leaf diagrams
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16.5: Histograms for ungrouped data (Practice Test)
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16.6: Histograms for grouped data (Practice Test)
- Arithmetic Mean of Raw Data-Direct Method
- Arithmetic Mean for Raw Data-Short Formula
- Finding A.M for Ungrouped Data-Coding Method
- Finding A.M for Grouped Data-Coding Method
- Median for Grouped Discrete Data
- Problem-Median for Grouped Discrete Data
- Median for Ungrouped Data
- Problem-Median for Ungrouped Data
- Median for Grouped Data
- Problem-Median for Grouped Data
- Mode for Grouped Continuous Data
- Mode for Ungrouped Data
- Problem-Mode for Ungrouped Data
- Mode for Grouped Data
- Problem-Mode for Grouped Data
- Merits and Demerits of Measures of Mean
- Merits and Demerits of Measures of Median
- Merits and Demerits of Measures of Mode
Chapter 17 Averages of Statistical data ( 31 videos) (Practice Test)
17.1: Mean (Practice Test)
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17.2: Median (Practice Test)
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17.3: Mode (Practice Test)
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17.4: Mean, median and mode (Practice Test)
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