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Math | Class 10
Sindh Board > Class 10 > Math (
Total Videos: 413
)
All Chapters
Chapter 1: Algebraic Sentences
Chapter 2: Elimination
Chapter 3: Variations
Chapter 4: Information Handling
Chapter 5: Demonstrative Geometry
Chapter 6: Circle
Chapter 7: Practical Geometry
Chapter 8: Trigonometry
Show Content
Select a chapter above and press 'Show Content'. Click a video topic below to view.
Chapter 1: Algebraic Sentences (
30 videos
)
  (
Practice Test
)
1.1: Solution of Simple Linear Equations in One or Two Variables  (
Practice Test
)
Solution of Simple Linear Equations in one Variables
Problem 1: Solution of Simple Linear Equations in one Variables
Solving Simultaneous Linear Equations by Substitution
Problem 1: Solving Simultaneous Linear Equations by Substitution
1.2: Graphical Solution of Two Simultaneous Linear Equations
Graphical Solution of Simultaneous Linear Equations
Problem-Solving Simultaneous Linear Equations Graphically
1.3: Solution of the Equations Involving Radicals in One Variable
Solving Radical Equations in One Variable
Problem 1: Solving Radical Equations in One Variable
Problem 1: Solving Radical Equations in One Variable
1.4: Solution of Equations in One Variable Involving Absolute Value  (
Practice Test
)
Introduction to absolute value equation
Problem 1: Introduction to absolute value equation
Solving Absolute Valued Equations "
Problem 1: Solving Absolute Valued Equations
1.5: Inequalities or Inequations  (
Practice Test
)
Solution of Inequalities
Problem 1: Solution of Inequalities
Representing Solution of Inequalities on Number Line
Problem 1: Representing Solution of Inequalities on Number Line
Application of Inequality in Real Life
1.6: Quadratic Equations in One Variable
Quadratic Equations in One Variable
Problem 1: Quadratic Equations in One Variable
1.7: Solution of the Quadratic Equations by Factorization
Solving Quadratic Equations by Factorization
Problem 1: Solving Quadratic Equations by Factorization
1.8: Solution of Quadratic Equations by Completing the Squares
Solving Quadratic Equations by Completing the Squares
Problem 1: Solving Quadratic Equations by Completing the Squares
Problem 2: Solving Quadratic Equations by Completing the Squares
1.9: Derivation of Quadratic Formula
Derivation of Quadratic formula
Problem 1: Derivation of Quadratic formula
1.10: Solution of Quadratic Equations by Quadratic Formula
Solving Quadratic Equation by Quadratic formula
Problem1-Solving Quadratic Equation-Quadratic Formula
Problem 2: Solving Quadratic Equation by Quadratic formula
Chapter 2: Elimination (
8 videos
)
  (
Practice Test
)
2.1: Concept of Elimination
Concept of Elimination
Problem 1: Concept of Elimination
2.2: Elimination by Substitution Method
Elimination by Substitution Method
2.3: Elimination by Comparison Method
Elimination by Comparison Method
2.4: Elimination by the Application of Formulae
Elimination by the Application of Formulae
Elimination through Substitution
2.5: Method of Cross-Multiplication
Method of Cross-Multiplication
Problem 1: Method of Cross-Multiplication
Chapter 3: Variations (
46 videos
)
  (
Practice Test
)
3.1: Ratio
Concept of Ratio
Problem 1: Concept of Ratio
3.2: Proportion
Introduction to Proportion
3.3: Continued Proportion  (
Practice Test
)
Continued Proportional
Problem 1: Continued Proportional
Fourth Proportional
Problem 1: Fourth Proportional
Third Proportional
Problem 1: Third Proportional
Mean Proportional
Problem 1: Mean Proportional
3.4: Variation  (
Practice Test
)
Direct Variations
Problem 2: Direct Variations
Problem3-Introducing Direct Variation
Problem 1: Direct Variations
Inverse Variations
Problem 1: Inverse Variations
Problem 2: Inverse Variations
Problem 3: Inverse Variations
3.5: K-Method and Theorems on Proportion
K-Method and Theorem 1 on Proportion
Problem 1: K-Method and Theorem 1 on Proportion
K-Method and Theorem 2 on Proportion
3.6: Properties of Proportion  (
Practice Test
)
Law of Proportion
Problem 1: Law of Proportion
Duplicate Ratio
Problem 1: Duplicate Ratio
Invertendo Theorem
Problem 1: Invertendo Theorem
Alternando Theorem
Problem 1: Alternando Theorem
Componendo Theorem
Problem 1: Componendo Theorem
Dividendo Theorem
Problem 1: Dividendo Theorem
Componendo-Dividendo Theorem
Problem on Componendo-Dividendo Theorem
Problem 1: Componendo-Dividendo Theorem
Transitive Property of Ratio
Problem 1: Transitive Property of Ratio
3.7: Word Problems  (
Practice Test
)
Word Problem of Ratio of Shadow & Height
Problem 1: Word Problem of Ratio of Shadow & Height
Problem 1: Word problem of Ratio between Two Numbers
Word problem of Ratio of Sides of Polygons
Word problem of Ratio of angles of Polygons
Problem 1: Word problem of Ratio of angles of Polygons
Word problem of Ratio of Income & Expenses
Chapter 4: Information Handling (
116 videos
)
  (
Practice Test
)
4.1: Introduction
Concept of Information Handling
Problem 1: Concept of Information Handling
4.2: A Few Definitions  (
Practice Test
)
Data, Collection of Data, Presentation of Data
Problem 1: Data, Collection of Data, Presentation of Data
Constant & Variable.
Problem 1: Constant & Variable.
Population
Problem 1:Population
4.3: Types of Variables
Types of Variables
Problem 1: Types of Variables
4.4: Types of Data
Types of Data
Problem 1: Types of Data
4.5: Collection of Data
Data, Collection of Data, Presentation of Data
Problem 1: Data, Collection of Data, Presentation of Data
4.6: Presentation of Data Or Information
Data, Collection of Data, Presentation of Data
Problem 1: Data, Collection of Data, Presentation of Data
4.7: Classification
Classification & No. of Classes
Problem 1: Classification & No. of Classes
4.8: A Few Definitions  (
Practice Test
)
Ungrouped & Grouped Data
Problem 1: Ungrouped & Grouped Data
Classification & No. of Classes
Problem 1: Classification & No. of Classes
Specification of Classes
Problem 1: Specification of Classes
Class interval & Class Limits
Problem 1: Class interval & Class Limits
Class Mark & Class Boundaries.
Problem 1: Class Mark & Class Boundaries.
4.9: Tabulation  (
Practice Test
)
One way Tabulation
Problem 1: One way Tabulation
Two way Tabulation
Problem 1: Two way Tabulation
4.10: Frequency Distribution  (
Practice Test
)
Construction of Continuous Frequency Table
Problem 1: Construction of Continuous Frequency Table
4.11: Construction of Frequency Distribution  (
Practice Test
)
Formation of Frequency Distribution byTally Bar Method
Problem 1: Formation of Frequency Distribution by Tally Bar Method
Formation of Frequency Distribution by Direct Method
Problem 1: Formation of Frequency Distribution by Direct Method
4.12: Graphs
Advantages and Disadvantages of Graphs
Problem 1: Advantages and Disadvantages of Graphs
Construction of Graphs
Problem 1: Construction of Graphs
4.13: Histogram  (
Practice Test
)
Graph of Frequency Distribution by Histogram
Problem 1: Constructing Histogram with Equal Intervals
4.14: Frequency Polygon
Construction of Frequency Polygon
Problem 1: Construction of Frequency Polygon
4.15: Diagrams Representation  (
Practice Test
)
Simple Bar Diagram
Problem 1: Simple Bar Diagram
Multiple Bar Diagram
Problem-Classifying data by graphs
Pie Diagram
Problem 1: Pie Diagram
4.16: Measures of Location (Central Tendency)  (
Practice Test
)
Measure of Location
Problem 1: Measure of Location
Importance of Measure of Central Tendency
Problem 1: Importance of Measure of Central Tendency
4.17: Types of Measures of Central Tendency
Types of Measures of Central Tendency
Problem 2: Types of Measures of Central Tendency
problem 3: Types of Measures of Central Tendency
Problem 1: Types of Measures of Central Tendency
4.18: Arithmetic Mean (A.M)  (
Practice Test
)
Arithmetic Mean (A.M) for Ungrouped Data
Problem 1: A.M of Ungrouped Data by Direct Method
Arithmetic Mean (A.M) for Grouped Data by Direct Method
Problem 1: A.M for Grouped Data by Direct Method
Short formula for Computing Arithmetic Mean for Ungrouped Data
Problem 1: A.M for Ungrouped Data by Short formula Method
Short formula for Computing Arithmetic Mean for Grouped Data
Problem 1: A.M for Grouped Data by Short formula Method
Coding Method of Finding Arithmetic Mean
Problem 1: A.M for Ungrouped Data by Coding Method
Finding A.M for Grouped Data-Coding Method
Problem 1: A.M for Grouped Data by Coding Method
4.19: Median  (
Practice Test
)
Median for Ungrouped Data
Problem 1: Median for Ungrouped Data
Median for Grouped Continuous Data
Problem 1: Median for Grouped Continuous Data
4.20: Mode  (
Practice Test
)
Mode for Ungrouped Discrete Data
Problem 1: Mode for Ungrouped Discrete Data
Mode for Grouped Data
Problem 1: Mode for Grouped Data
4.21: Merits And Demerits of Measures of Central Tendency  (
Practice Test
)
Properties of Arithmetic Mean
Problem 1: Properties of Arithmetic Mean
Merits and Demerits of Median
Problem 1: Merits and Demerits of Median
Merits and Demerits of Mode
Problem 1: Merits and Demerits of Mode
4.22: Concept of Dispersion
Concept of Dispersion
Problem 1: Concept of Dispersion
4.23: Importance and Uses of Measures of Dispersion
Importance & Uses of Measures of Dispersion
Problem 1: Importance & Uses of Measures of Dispersion
4.24: Types of Measures of Dispersion  (
Practice Test
)
Calculation of Range for Raw or Ungrouped Data
Problem 1: Calculation of Range for Raw or Ungrouped Data
Calculation of Range for Grouped Data
Problem 1: Calculation of Range for Grouped Data
Uses and Properties of Range
Problem 1: Uses and Properties of Range
Limitations or Drawbacks of Range
Problem 1: Limitations or Drawbacks of Range
4.25: The Variance  (
Practice Test
)
Calculation of Variance by Proper Mean Formula
Calculation of Variance of Grouped Data by Proper Mean Formula
Calculation of Variance by Short Cut Method
Problem 1: Calculation of Variance by Short Cut Method
Calculation of the Variance and Standard Deviation by Direct Method
Problem 1: Calculation of Variance by Direct Method
4.26: Standard Deviation (S.D.)  (
Practice Test
)
Calculation of Standard Deviation by Proper Mean Formula
Problem 1: Calculation of S.D by Proper Mean formula
Calculation of S.D by Short Cut Method
Problem 1: Calculation of S.D by Short Cut Method
Calculation of S.D by Direct Method
Problem 1: Calculation of S.D by Direct Method
Uses and Properties of Standard Deviation
Problem 1: Uses and Properties of Standard Deviation
Limitations of Variance and Standard Deviation
Problem 1: Limitations of Variance and Standard Deviation
Criteria for the measurement of spread of Observation
Problem 1: Criteria for the measurement of spread of Observation
Chapter 5: Demonstrative Geometry (
92 videos
)
  (
Practice Test
)
5.1: Theorems on Lines and Polygons
Elements in proving a geometrical theorem
5.2: Methods of Proof  (
Practice Test
)
Problem 1: Analytical and Synthesis method to Prove theorem
Law of Aristotle
Problem 1: Reductio-Ad-Absurdum Method
If two lines intersect each other,than vertical angles are congruent
5.3: Triangle  (
Practice Test
)
Interior and exterior of triangle
Problem 1: Interior and exterior of triangle
Triangluar Region and Triangular Area
Interior and exterior angles of traingle
Problem 1: Interior and exterior angles of traingle
Included Angle and Included Side of Triangle
Problem 1: Included Angle and Included Side of Triangle
5.4: Kinds of Triangle
Kinds of Triangle
Problem 1: Kinds of Triangle
5.5: One-One Correspondence between Two Triangles and Other Polygons
Congruence of Other Polygons
5.6: Congruence of Triangles
Congruency of Triangles
Problem 1: Congruency of Triangles
5.7: Congruence of Other Polygons
Congruence of Other Polygons
Problem 1: Congruence of Polygons
5.8: Postulate 14-Side Angle Side Postulate (S.A.S Postulate)  (
Practice Test
)
Side Angle Side Postulate
Problem 1: side angle side postulate
An exterior angle of a traingle is greater in measure than either of
Problem 1:An exterior angle of a traingle is greater in measure than
5.9: Transversal, Interior and Exterior Angles
Transversal, Interior and Exterior Angles
Problem 1: Transversal, Interior and Exterior Angles
5.10: Alternate Interior Angles
Alternate and corresponding Angles
Problem 1: Alternate and corresponding Angles
5.11: Corresponding Angles
Alternate and corresponding Angles
Problem 1: Alternate and corresponding Angles
5.12: Parallel Lines
Parallel Lines
Problem 1: Parallel Lines
5.13: Postulate 15. Parallel Lines Postulate  (
Practice Test
)
Parallel Lines Postulate
Problem 1: Parallel Lines Postulate
If a transversal intersects two coplanar lines
If a transversal intersects two parallel lines
Problem 1: If a transversal intersects two parallel lines
5.14: Parallelogram
Kinds of Parallelogram
Problem 1: Kinds of Parallelogram
5.15: Trapezoid or Trapezium  (
Practice Test
)
Trapezoid and Trapezium
Problem 1: Trapezoid and Trapezium
Sum of three angles of triangle is 180 degree
Problem 1: Sum of three angles of triangle is 180 degree
Angle opposite to equal sides are equal in triangle
Problem 1: Angle opposite to equal sides are equal in triangle
Angle-Side-Angle Postulate-1
Problem 1: Angle-Side-Angle Postulate-1
Side-Side-Side Postulate-3
Problem 1: Side-Side-Side Postulate-3
Sides Facing Equal Angles are Equal in Triangle-2
Problem 1: Sides Facing Equal Angles are Equal in Triangle-2
Hypotenuse Side Postulate-4
Problem 1: Hypotenuse Side Postulate-4
Diagonals of Parallelogram Bisects Each Other-1
Problem 1: Diagonals of Parallelogram Bisects Each Other-1
Problem 2: Diagonals of Parallelogram Bisects Each Other-1
Parallelogram Opposite Sides - Congruent -Parallel-2
Mid point Theorem-3
Problem 2: Mid point Theorem-3
Problem 1: Mid point Theorem-3
All Medians of Triangle Trisect Each Other-4
Problem 1: All Medians of Triangle Trisect Each Other-4
Proportional Segment Theorem-5
Perpendicular Bisector Theorem-1
Converse of Perpendicular Bisector Theorem-2
Triangle Right Bisectors of Sides are Concurrent-3
Problem 1: Triangle Right Bisectors of Sides are Concurrent-3
Problem 2: Triangle Right Bisectors of Sides are Concurrent-3
Angle Bisector Theorem-4
Converse of Angle Bisector Theorem-5
5.16: Theorems on Inequalities  (
Practice Test
)
Longer Side Inequality Theorem-1
Converse of Longer Side Inequality Theorem-1a
Problem 1: Converse of Longer Side Inequality Theorem-1a
Problem 2: Converse of Longer Side Inequality Theorem-1a
Triangle Sum of Two Sides is Greater Than Third-2
Problem 2: Triangle Sum of Two Sides is Greater Than Third-3
Shortest Distance from Point to a Line-3
Problem 2: Shortest Distance from Point to a Line-3
Problem 1: Shortest Distance from Point to a Line-3
5.17: Similar Figures  (
Practice Test
)
Proportional Parts of Triangle by Side Splitter Theo-1
Converse of Proportional Parts of Triangle -2
Division of Opposite Side by Angle Bisector-3
Proportional Parts of Similar Triangle-4
Converse of Proportional parts of similar triangle
5.18: Pythagoras Theorem  (
Practice Test
)
Pythagoras Theorem-1
Problem 1: Pythagoras Theorem-1
Problem 2: Pythagoras Theorem-1
Converse of Pythagoras Theorem-2
Problem 1: Converse of Pythagoras Theorem-2
Problem-Proof of Pythagoras Theorem
Problem-More on Proof of Pythagoras Theorem 1
Problem-Two Special Right Angled Triangles
Problem-More on Two Special Right Angled Triangles
Chapter 6: Circle (
56 videos
)
  (
Practice Test
)
6.1: Circle
Introduction to Circle & its Characteristics
Problem 1: Introduction to Circle & its Characteristics
6.2: Circumference of a Circle
Chord , Diameter & Circumference of a Circle
6.3: Chord and Secant  (
Practice Test
)
Chord , Diameter & Circumference of a Circle
Problem 1: Chord , Diameter & Circumference of a Circle
Concept of Secant & Tangent Line
Problem 1: Concept of Secant & Tangent Line
6.4: Diameter of Circle
Chord , Diameter & Circumference of a Circle
6.5: Interior & Exterior of Circle
Introduction to Circle & its Characteristics
6.6: Arc of a Circle
Arc of a Circle
Problem 1: Arc of a Circle
6.7: Semi-Circle
Arc of a Circle
6.8: Minor Arc, Major Arc
Arc of a Circle
6.9: Central Angle of An Arc
Concept of Central Angle of an Arc
Problem 1: Concept of Central Angle of an Arc
6.10: Congruent Circles
Concept of Central Angle of an Arc
6.11: Congruent Arcs
Concept of Central Angle of an Arc
6.12: Inscribed Angle of an Arc
Concept of Inscribed Angle of an Arc
Problem 1: Concept of Inscribed Angle of an Arc
6.13: Tangent, Point of Tangency
Concept of Secant & Tangent Line
6.14: Common Tangents, Common Internal and Common External Tangents to Two Circles  (
Practice Test
)
Problem 1: Concentric Circles,Common Internal & External Tangents of
Introducing Concyclic Points
Concentric Circles and Common Internal and External Tangents to two C
6.15: Sector of a Circle
Segment & Sector of a Circle
Problem 1: Segment & Sector of a Circle
6.16: Segment of a Circle
Segment & Sector of a Circle
6.17: Circum Circle of a Triangle
Concept of Circum Circle of a Triangle
Problem 1: Concept of Circum Circle of a Triangle
6.18: Inscribed Circle of a Triangle
Concept of Inscribed Circle of a Triangle
Problem 1: Concept of Inscribed Circle of a Triangle
6.19: Escribed Circle of a Triangle
Concept of Escribed Circle of a Triangle
Problem 1: Concept of Escribed Circle of a Triangle
6.20: Theorems on Circles  (
Practice Test
)
Perpendicular Radius Bisects Chord-3
Perpendicular Bisector to a Chord Circle-2
The perpendicular bisector of chord of circle passes through centre o
Congruent Chords Equidistance from Circle-4
Problem 2: Congruent Chords Equidistance from Circle-4
Problem 1: Congruent Chords Equidistance from Circle-4
Chords Equidistance of Circle are Congruent-5
Problem 1: Chords Equidistance of Circle are Congruent-5
Three Non-Collinear Points Form a Circle-1
Problem 1: Three Non-Collinear Points Form a Circle-1
Problem 2: Three Non-Collinear Points Form a Circle-1
Central angle theorem
Problem 1: Central angle theorem
Problem 2: Central angle theorem
Tangent to Circle-1
Problem 1: Tangent to Circle-1
Converse of Tangent to Circle-2
Problem 1: Converse of Tangent to Circle-2
Tangent and radial lines are perpendicular to each other
Equal Tangent Segments from a Point to a Circle-3
Problem 1: Equal Tangent Segments from a Point to a Circle-3
Distance of Centers of Externally Tangent Circles-4a
Problem 1: Distance of Centers of Externally Tangent Circles-4a
Distance of Centers of internally Tangent Circles-4b
Chapter 7: Practical Geometry (
27 videos
)
  (
Practice Test
)
7.1: Revision  (
Practice Test
)
Introduction to Practical Geometry
Constructing Triangle with Three Sides
Construction of a Triangle when one angle and two sides
Constructing Triangle with Side & Two Angles
7.2: The Ambiguous Case  (
Practice Test
)
Constructing Triangle-Ambiguous Case
Constructing Two Triangle with two sides and opposite Angle
Constructing Three Triangle with two sides and opposite Angle
7.3: Concurrent Lines with Reference to a Triangle  (
Practice Test
)
Constructing Angler Bisectors of Triangle
Constructing Perpendicular Bisectors of Triangle
Constructing Medians of Triangle
Constructing Altitudes of Triangle
Problem-Construction of the Altitudes of a Triangle
7.4: To Draw the Circum-Circle of a Triangle  (
Practice Test
)
Circumscribe a Circle About a Given Triangle
Constructing Circumcircle about an equilateral Triangle
Problem 1: Circumscribe a Circle About a Given Triangle
7.5: To Draw Incircle of a Triangle  (
Practice Test
)
Inscribe a Circle in a Given Triangle
Inscribe a Circle in Given equilateral Triangle
Problem 1: Inscribe a Circle in a Given Triangle
Problem-Circumscribe and Inscribe a Circle in Given Triangle
7.6: To Draw Escribed Circle Opposite To a Vertex of a Triangle
Escribe a Circle to a Given Triangle
7.7: To Draw the Tangent to a Circle at a Given Point on the Circle
To Draw the Tangent to a Circle at a Given point on the Circle
7.8: To Draw Two Tangents to a Circle From a Point Outside the Circle  (
Practice Test
)
Tangent from a Point Outside a Circle
Two Tangents from a Point Outside Circle
7.9: To Draw the Direct Common Tangents to the Two Given Circles  (
Practice Test
)
Direct Common Tangents to Circles
Direct Common Tangents to circles by Method 2
Direct Common Tangents of Circles with Same Radii
7.10: To Draw the Transverse Common Tangents to the Two Given Circles
Transverse Common Tangents to Circles1
Chapter 8: Trigonometry (
38 videos
)
  (
Practice Test
)
8.1: Introduction
Meaning and Importance of Trigonometry
Problem 1: Meaning and Importance of Trigonometry
8.2: Trigonometric Ratios of Acute Angles
Trigonometric Ratios of an Acute Angle
Problem 1: Trigonometric Ratios of an Acute Angle
8.3: Values of Trigonometric Ratios of Angles of 45, 30 And 60 Degree  (
Practice Test
)
Trigonometric ratios of 45 degree
Problem 1: Trigonometric ratios of 45 degree
Trigonometric ratios of 30 degree and 60 degree
Problem 1: Trigonometric ratios of 30 degree and 60 degree
Problem 2: Trigonometric ratios of 30 degree and 60 degree
8.4: Relations Between Trigonometric Ratios of the Complementary Angles
Trigonometric Ratios of an Complementary Angles
Problem 1: Trigonometric Ratios of an Complementary Angles
8.5: Fundamental Trigonometric Identities  (
Practice Test
)
Proof of Fundamental Trigonometric Identity
Problem 1: Proof of Fundamental Trigonometric Identity
More on Fundamental Trigonometric Identity
Problem 2: More on Fundamental Trigonometric Identity
Problem 3: More on Fundamental Trigonometric Identity
Problem 4: More on Fundamental Trigonometric Identity
Problem 1: More on Fundamental Trigonometric Identity
8.6: Solution of a Right Triangle  (
Practice Test
)
When measures of one side and one angle are given
Problem 1: When measures of one side and one angle are given
when measures of hypotenuse and one Acute angle are given
Problem 1: when measures of hypotenuse and one angle are given
When measures of two sides are given
Problem 1: When measures of two sides are given
When measures of hypotenuse and one side are given
Problem 1: When measures of hypotenuse and one side are given
8.7: Finding Heights and Distances by Using Trigonometric Ratios  (
Practice Test
)
Concept of Angle of Elevation & Depression
Problem 1: Concept of Angle of Elevation & Depression
when one Side & Angle of Elevation are Given
Problem 1: when one Side & Angle of Elevation are Given
Problem 2: when one Side & Angle of Elevation are Given
when One Side & Angle of Depression are Given
Problem 1: when One Side & Angle of Depression are Given
when Hypotenuse & Angle of Elevation are Given
Problem 1: when Hypotenuse & Angle of Elevation are Given
when Given Sides-Angle of Elevation-Depression
Problem 1: when Given Sides-Angle of Elevation-Depression
Problem 2: when Given Sides-Angle of Elevation-Depression
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