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General Math | Class 10
Khyber Pakhtunkhwa
Class 10
General Math (
Total Videos: 392
)
Preference
All Chapters
Chapter 1: Algebraic Formulas and Applications
Chapter 2: Factorization
Chapter 3: Algebraic Manipulation
Chapter 4: Linear Equations and Inequalities
Chapter 5: Quadratic Equations
Chapter 6: Matrices and Determinats
Chapter 7: Fundamentals of Geometry
Chapter 8: Practical Geometry
Chapter 9: Areas and Volumes
Chapter 10: Introduction to Coordinate Geometry
Show Content
Select a chapter above and press 'Show Content'. Click a video topic below to view.
Chapter 1 Algebraic Formulas and Applications (
45 videos
)
(
Practice Test
)
1.1: Algebraic Expressions (
Practice Test
)
Definition of Algebraic Expression
5448 views
Rational and Irrational Expressions
5882 views
Problem-Rational and Irrational Expressions
587 views
Proper & Improper Rational Expressions
100 views
Reduce Rational Expressions to its Lowest Form
2347 views
Problem-Reducing Rational Expressions
2076 views
Sum of Rational Expressions
1728 views
Problem-Sum of Rational Expressions
498 views
Difference of Rational Expressions
1299 views
Product of Rational Expressions
1307 views
Division of Rational Expressions
1258 views
Value of an Algebraic Expression
2114 views
Problem1-Value of an Algebraic Expression
1720 views
Problem2-Value of an Algebraic Expression
1351 views
1.2: Algebraic Formulae (
Practice Test
)
Formulae
794 views
Construction of Formulae
298 views
Square of sum of two terms
3430 views
Problem1-Square of sum of two terms
1039 views
Problem2-Square of sum of two terms
1697 views
Square of difference of two terms
1168 views
Difference of square of two terms
2089 views
Twice the sum of square of two terms
823 views
Problem-Twice the sum of square of two terms
738 views
Four times product of two terms
922 views
Problem-Four times product of two terms
909 views
Solving Problems using Algebra
318 views
Harder Expansions
Square of sum of three terms
1345 views
Problem1-Square of sum of three terms
952 views
Problem2-Square of sum of three terms
572 views
Cube of sum of two terms
1222 views
Problem1-Cube of sum of two terms
1027 views
Problem2-Cube of sum of two terms
586 views
Cube of difference of two terms
886 views
Problem-Cube of difference of two terms
803 views
Sum and differences of cube
925 views
Problem-Sum and differences of cube
832 views
1.3: Surds and their Application (
Practice Test
)
Introduction to Surds
4995 views
Problem-Introduction to Surds
2302 views
Order of a Surd
1720 views
Problem-Order of a Surd
728 views
1.4: Rationalization
Introduction to Rationalization
2315 views
Problem1-Rationalizing denominator
1843 views
Problem2-Rationalizing denominator
1741 views
Chapter 2 Factorization (
48 videos
)
(
Practice Test
)
2.1: Factorization (
Practice Test
)
Factorization
12533 views
Problem-Factorization
206 views
K times Sum of Three Terms
31 views
Problem-K times Sum of Three Terms
26 views
Factorization of Expressions of the Form ka+kb+kc
436 views
Problem-Factorization of Expressions of the Form ka+kb+kc
207 views
Factorization by Grouping
560 views
Factorization of Quadratic Expressions
393 views
Factoring Trinomial & Tetranomial of Degree One
10073 views
Problem1-Factoring Trinomial-Tetranomial of Degree1
4905 views
Problem2-Factoring Trinomial-Tetranomial of Degree1
3275 views
Factoring Square of Sum Or Difference of Two Terms
4674 views
Problem-Factoring Square of Sum-Difference of 2 Terms
2737 views
Factoring Difference of Square of Two Terms
4251 views
Problem1-Factoring Difference of Square of Two Terms
129 views
Problem2-Factoring Difference of Square of 2 Terms
2152 views
Problem3-Factoring Difference of Square of 2 Terms
2545 views
Problem4-Factoring Difference of Square of Two Terms
32 views
Factoring Polynomial of Degree Four
2841 views
Problem1-Factoring Polynomial of Degree Four
1969 views
Problem2-Factoring Polynomial of Degree Four
1586 views
Factoring Quadratic Equation-Leading Coefficient-1
2447 views
Problem-Factoring Quadratic Equation-Coefficient1
1582 views
Factoring Quadratic Polynomial-Non-1 Leading Coefficient
1546 views
Problem1-Factoring Quadratic Polynomial-Non-1 Leading Coefficient
1122 views
Problem2-Factoring Quadratic Polynomial-Non-1 Leading Coefficient
1259 views
Factoring Cube of Sum or Difference of Two Terms
1038 views
Problem-Factoring Cube of Sum or Difference of Two Terms
614 views
Factoring Sum or Difference of Cube of Two Terms
1492 views
Problem1-Factoring Sum-Difference of Cube of Two Terms
1241 views
Problem2-Factoring Sum-Difference of Cube of Two Terms
1126 views
Factoring Product of Two Quadratic Polynomials
962 views
Problem-Factoring Product of Two Quadratic Polynomials
656 views
More on Factoring Product of Quadratic Polynomials
845 views
Problem1-More on Factoring Product of Quadratic Polynomials
748 views
Problem2-More on Factoring Product of Quadratic Polynomials
790 views
2.2: Remainder Theorem and Factor Theorem (
Practice Test
)
Remainder Theorem
6551 views
Problem-Remainder Theorem
3453 views
Problem1-Remainder Theorem
1741 views
Zero of polynomial and concept of factor
1131 views
Problem-Zero of polynomial and concept of factor
904 views
Factor Theorem
3287 views
Problem2-Factor Theorem
2091 views
2.3: Factorization a Cubic Polynomial (
Practice Test
)
Factoring cube polynomial
2999 views
Problem-Factoring cube polynomial
2075 views
Factorization by using Remainder Theorem
1445 views
Problem-Factorization by using Remainder Theorem
530 views
Chapter 3 Algebraic Manipulation (
29 videos
)
(
Practice Test
)
3.1: Highest Common Factor (H.C.F) and Least Common Multiple (L.C.M) (
Practice Test
)
Factors and Multiples
8968 views
Highest Common Factor (HCF)
4459 views
H.C.F or G.C.D of Algebraic Expressions
5783 views
Problem1-H.C.F or G.C.D of Algebraic Expressions
3764 views
Problem2-H.C.F or G.C.D of Algebraic Expressions
2702 views
H.C.F of Algebraic Expression by Division
13542 views
Problem-H.C.F of Algebraic Expression by Division
3956 views
Least Common Multiple (LCM)
3796 views
L.C.M of Algebraic Expression by Factorization
3688 views
Problem1-L.C.M of Algebraic Expression by Factorization
1356 views
Problem3-L.C.M of Algebraic Expression by Factorization
1402 views
L.C.M of Algebraic Expression by formula
1525 views
Relation Between H.C.F And L.C.M
1656 views
Problem1-Relation Between H.C.F And L.C.M
1097 views
Problem2-Relation Between H.C.F And L.C.M
821 views
Applications of H.C.F And L.C.M
2197 views
Problem-Applications of H.C.F And L.C.M
884 views
3.2: Basic Operations on the Algebraic Fractions (
Practice Test
)
Adding and Subtracting Algebraic Expressions
3643 views
Dividing & Multiplying Algebraic Expressions
1912 views
Problem1-Dividing & Multiplying Algebraic Expressions
1448 views
Problem2-Dividing & Multiplying Algebraic Expressions
1224 views
3.3: Square Root of Algebraic Fraction (
Practice Test
)
Square Root of Algebraic Expression-Factorization
3825 views
Problem1-Square Root of Algebraic Expression-Factorization
2020 views
Problem2-Square Root of Algebraic Expression-Factorization
1683 views
Square Root of Algebraic Expression-Division
3437 views
Problem1-Square Root of Algebraic Expression-Division
2143 views
Problem2-Square Root of Algebraic Expression-Division
1795 views
Square Root of Rational Expression
223 views
Problem-Square Root of Rational Expression
260 views
Chapter 4 Linear Equations and Inequalities (
31 videos
)
(
Practice Test
)
4.1: Linear Equations (
Practice Test
)
Linear Equations in 1,2 and 3 Variables
5893 views
Problem-Linear Equations in 1,2 and 3 Variables
1039 views
Solving Simple Linear Equations in 1 Variable
7064 views
Problem1-Solution of Linear Equations
4647 views
Problem2-Solution of Linear Equations
184 views
Solving Radical Equations in 1 Variable
5398 views
Problem1-Solving Radical Equations in 1 Variable
3393 views
Problem2-Solving Radical Equations in 1 Variable
3416 views
4.2: Equations Involving Absolute Value (
Practice Test
)
Introducing absolute value equation
2705 views
Problem-Introducing absolute value equation
1978 views
Solving Absolute Valued Equations
1359 views
Problem-Solving Absolute Valued Equations
1249 views
More on Solving Absolute Valued Equations
4.3: Linear Inequalities (
Practice Test
)
Solution of Inequalities
3562 views
Problem-Solution of Inequalities
1677 views
Representing Solution of Inequalities on Number Line
793 views
Problem-Representing Solution of Inequalities on Number Line
259 views
Trichotomy Property of Inequality
4220 views
Problem1-Trichotomy Property of Inequality
662 views
Problem2-Trichotomy Property of Inequality
2442 views
Transitive property of Inequality
3089 views
Problem1-Transitive property of Inequality
411 views
Problem2-Transitive property of Inequality
1936 views
Additive property of inequality
2720 views
Problem-Additive property of inequality
351 views
Multiplicative Property of Inequality
2736 views
Problem1-Multiplicative Property of Inequality
Problem2-Multiplicative Property of Inequality
1924 views
4.4: Solving Linear Inequalities (
Practice Test
)
Equations and Inequalities
282 views
Introducing Linear Inequality
2079 views
Problem-Introducing Linear Inequality
1547 views
Chapter 5 Quadratic Equations (
15 videos
)
(
Practice Test
)
5.1: Quadratic Equations
Quadratic Equations in 1 Variable
31751 views
Problem-Quadratic Equations in 1 Variable
15016 views
5.2: Solution of a Quadratic Equation (
Practice Test
)
Solving Quadratic Equations by Factorization
12270 views
Problem-Solving Quadratic Equations by Factorization
5593 views
Solving Quadratic Equations-Completing Squares
16996 views
Problem1-Solving Quadratic Equations-Completing Squares
7632 views
Problem2-Solving Quadratic Equations-Completing Squares
5835 views
Converting 2nd degree expression into perfect square
Problem-Converting 2nd degree expression
5.3: The Quadratic Formula (
Practice Test
)
Derivation of Quadratic Formula by Completing Square
5622 views
Problem-Derivation of Quadratic Formula by Completing Square
3299 views
Solving Quadratic Equation-Quadratic Formula
4757 views
Problem1-Solving Quadratic Equation-Quadratic Formula
3136 views
Problem2-Solving Quadratic Equation-Quadratic Formula
3132 views
Problem-Solving Involving Quadratic Equations
1003 views
Chapter 6 Matrices and Determinats (
77 videos
)
(
Practice Test
)
6.1: Introduction to Matrices (
Practice Test
)
Introducing Matrix
36598 views
More on Introducing Matrix
3625 views
Problem-Introducing Matrix
14050 views
Order of Matrix
10702 views
Problem-Order of Matrix
7790 views
Location of elements in Matrix
1815 views
Problem-Location of elements in Matrix
1279 views
Equal Matrices
7813 views
Problem1-Equal Matrices
5711 views
Problem2-Equal Matrices
3091 views
6.2: Types of Matrices (
Practice Test
)
Row-Column Matrix
10233 views
Problem-Row-Column Matrix
4853 views
Square-Rectangular Matrix
6255 views
Problem-Square-Rectangular Matrix
3522 views
Null Matrix or Zero Matrix
5155 views
Problem-Null Matrix or Zero Matrix
2898 views
Identity Matrix
3307 views
Problem-Identity Matrix
2096 views
Scalar Matrix
6740 views
Problem-Scalar Matrix
2171 views
Diagonal Matrix
4740 views
Problem-Diagonal Matrix
2480 views
Transpose of Matrix
4496 views
Problem-Transpose of Matrix
3502 views
Negative of Matrix
3473 views
Problem-Negative of Matrix
2472 views
Symmetric & Skew-Symmetric Matrices
5957 views
Problem1-Symmetric & Skew-Symmetric Matrices
4625 views
Problem2-Symmetric & Skew-Symmetric Matrices
856 views
6.3: Operations of Addition, Subtraction and Scalar Multiplication of Matrices (
Practice Test
)
Addition of Matrices
4594 views
Problem-Addition of Matrices
2751 views
Multiplication of Matrix by Real Number
3354 views
Problem-Multiplication of Matrix by Real Number
2039 views
Subtraction of Matrices
2574 views
Problem-Subtraction of Matrices
1949 views
Commutative Law Under Addition for Matrices
3496 views
Problem-Commutative Law Under Addition for Matrices
1744 views
Associative Law under Addition and Multiplication of Matrices
1849 views
Problem-Associative Law Under Addition for Matrices
1426 views
Additive Identity of a Matrix
2748 views
Problem-Additive Identity of a Matrix
1687 views
Additive Inverse of a Matrix
2883 views
Problem-Additive Inverse of a Matrix
2711 views
6.4: Multiplication of Matrices (
Practice Test
)
Multiplication of Matrices
5440 views
More on Multiplication of Matrices
572 views
Problem1-Multiplication of Matrices
3003 views
Problem2-Multiplication of Matrices
2261 views
Problem3-Multiplication of Matrices
525 views
Problem4-Multiplication of Matrices
Associative Law under Multiplication of Matrices
2637 views
Problem-Associative Law under Multiplication of Matrices
1517 views
Distributive Law of Matrices
2198 views
Problem-Distributivity of Matrices
1351 views
Commutative Law of Multiplication of Matrices
1792 views
Problem-Commutative Law of Multiplication of Matrices
1207 views
Multiplicative Identity of a Matrix
2407 views
Problem-Multiplicative Identity of a Matrix
1725 views
Properties of Transposed Matrices
590 views
Problem-Properties of Transposed Matrices
368 views
Transpose of Product of Matrices
1789 views
6.5: Multiplicative Inverse of Matrix (
Practice Test
)
Determinant of 2-by-2 Matrix
4896 views
Singular and Non-Singular Matrix
3309 views
Problem-Singular and Non-Singular Matrix
1494 views
Multiplicative Inverse of Non-Singular Matrix
3270 views
Problem-Multiplicative Inverse of Non-Singular Matrix
2407 views
Matrix Inverse Using Adjoint
4424 views
More on Matrix Inverse Using Adjoint
874 views
Problem1-Matrix Inverse Using Adjoint
2520 views
Problem2-Matrix Inverse Using Adjoint
584 views
Problem3-Matrix Inverse Using Adjoint
382 views
Problem4-Matrix Inverse Using Adjoint
399 views
Property for Whole Inverse of Product of Matrices
484 views
More on Property for Whole Inverse of Product of Matrices
325 views
6.6: Solution of Simultaneous Linear Equations (
Practice Test
)
Solving Simultaneous Equations-Inversion Method
10163 views
More on Solving Simultaneous Equations-Inversion Method
74 views
Solving Simultaneous Equations-Cramers Rule
8952 views
Problem2-Solving Simultaneous Equations-Cramers Rule
406 views
Chapter 7 Fundamentals of Geometry (
70 videos
)
(
Practice Test
)
7.1: Adjacent Angles (
Practice Test
)
Kinds of an Angle
680 views
Concept of Adjacent Angles
1210 views
Concept of Complementary Angles
437 views
Concept of Supplementary Angles
451 views
Vertically Opposite Angles
1333 views
Finding Unknown Angles Involving Adjacent Angles
655 views
Finding Unknown Angles Involving complementary Angles
235 views
Finding Unknown Angles Involving Supplementary Angles
423 views
Finding Unknown Angles Involving Vertically Opposite Angles
583 views
Finding Unknown Angle of a Triangle
645 views
Concept of Interior Angles
665 views
Problem- Finding Angles Formed by a Transversal
569 views
Supplementary Angle Theorem
1122 views
Corollary of Supplementary Angle Theorem
703 views
Triangle Sum Theorem
234 views
Exterior Angle Theorem
102 views
Alternate Angles Theorem
77 views
Parallel the Lines, Congruent the alternate angles
1071 views
7.2: Co-planer Lines
Concept of Parallel Lines
942 views
Properties of Parallel Lines
985 views
Concept of Corresponding Angles
1125 views
Concept of Alternate Interior Angles
701 views
Vertically Opposite Angles
1333 views
Concept of Interior Angles
665 views
Problem- Finding Angles Formed by a Transversal
569 views
7.3: Congruent and Similar Figures (
Practice Test
)
Identification of Congruent and Similar Figures
276 views
Congruent Figures and Objects
2496 views
Problem-Congruent Figures and Objects
8 views
1-1 Correspondence in Polygons
360 views
Problem-1-1 Correspondence in Polygons
Congruency Tests
398 views
Problem-Congruency Tests
6 views
Similar Triangles
98 views
Problem-Similar Triangles
4 views
7.4: Congruent Triangles (
Practice Test
)
Congruent Triangles
530 views
Side-Side-Side Postulate
237 views
Side-Angle-Side Postulate
367 views
Angle-Side-Angle Postulate
279 views
Hypotenuse-Side Postulate
347 views
Application of the Properties for Two Figures
232 views
7.5: Quadrilaterals (
Practice Test
)
Demonstrate the properties of a parallelogram
418 views
Kinds of Parallelogram
1360 views
Problem-Kinds of Parallelogram
97 views
Theorem on Parallelogram
3723 views
Problem1-Diagonals of Parallelogram Bisects Each Other
1055 views
Problem2-Diagonals of Parallelogram Bisects Each Other
663 views
7.6: Circle (
Practice Test
)
Introduction to Circle & its Characteristics
4893 views
Chord , Diameter & Circumference of Circle
4097 views
Problem-Chord , Diameter & Circumference of Circle
1072 views
Arc of Circle
2637 views
Problem-Arc of Circle
761 views
Segment of a Circle
200 views
Segment and Sector of Circle
1956 views
Problem-Segment and Sector of Circle
531 views
Introducing Secant and Tangent Line
1937 views
Problem-Introducing Secant and Tangent Line
553 views
Concentric Circles, Common Internal, External Tangents
413 views
Problem-Concentric Circles, Common Tangents
172 views
Introducing Concyclic Points
Concept of Inscribed Angle of Arc
165 views
Problem-Concept of Inscribed Angle of Arc
105 views
Angle in a Semicircle is a Right Angle
999 views
Concept of Central Angle of Arc
1545 views
Problem-Concept of Central Angle of Arc
634 views
Theorem on Circle Angle of Minor Arc
3939 views
Problem1-Central Angle Theorem
1962 views
Problem2-Central Angle Theorem
1357 views
Theorem related to Angles in a Same Segment
2082 views
Chapter 8 Practical Geometry (
29 videos
)
(
Practice Test
)
8.1: Construction of Triangle (
Practice Test
)
The Protractor and Angle Measure
737 views
Geometrical Constructions
823 views
Use of Compass
483 views
Introduction to Practical Geometry
7680 views
Construction of Triangle with 1 Angle & 2 Sides
1479 views
Constructing Triangle with 1 Side & 2 Angles
3686 views
Constructing Angler Bisectors of Triangle
3752 views
Constructing Altitudes of Triangle
6747 views
Constructing Perpendicular Bisectors of Triangle
10684 views
Constructing Medians of Triangle
5680 views
8.2: Construction of Quadrilateral (
Practice Test
)
Construction of Rectangle
1374 views
Problem-Construction of Rectangle
79 views
Construction of a rectangle when diagonal and a side are given
1280 views
Construction of square when its diagonal is given
1970 views
8.3: To Locate the Centre of a Given Circle
How to Locate the Centre of a Given Circle
4121 views
Problem-How to Locate the Centre of a Given Circle
2387 views
8.4: To Draw a Circle Passing through Three Given Non-Collinear Points
Drawing a Circle Through Three Non-Collinear Points
2366 views
Problem-Drawing a Circle Through Three Non-Collinear Points
1408 views
8.5: To Draw a Tangent to a Given Circle From a Point Which Lies on the Circumference (
Practice Test
)
Drawing Tangent to Circle from Point on Circumference
66 views
Tangent from a Point Outside Circle
1990 views
Two Tangents from a Point Outside Circle
8.6: To Draw Direct Common Tangent to Two Equal Circles (
Practice Test
)
Direct Common Tangents of Circles with Same Radii
1892 views
Direct Common Tangents to circles
2643 views
More on Direct Common Tangents to circles
315 views
Transverse Common Tangents to Circles
1674 views
Transverse Common Tangents to Circles
2739 views
Tangent to Two Unequal Touching Circles
1043 views
Tangent to Two Unequal internally Touching Circles
Tangent to Two Unequal Intersecting Circles
1287 views
Chapter 9 Areas and Volumes (
33 videos
)
(
Practice Test
)
9.1: Pythagoras Theorem
Pythagoras Theorem
8494 views
Problem1-Pythagoras Theorem
2735 views
Problem2-Pythagoras Theorem
1756 views
Problem1-Proof of Pythagoras Theorem
17 views
Problem2-Proof of Pythagoras Theorem
8 views
Problem1-Two Special Right Angled Triangles
3 views
Problem2-Two Special Right Angled Triangles
3 views
9.2: To Find the Area of a Triangle by Applying Hero's Formula (
Practice Test
)
Area of a Triangle
336 views
Word Problem of Area of a Triangle
765 views
Area of Triangle by Heros Formula
2067 views
More on Area of a Triangle with Given Sides
285 views
Area of Eqilateral Triangle With Given Sides
418 views
Problem-Area of Eqilateral Triangle With Given Sides
227 views
Formula for Area of a Square & Rectangle
1143 views
Concept of Altitude of a Geometrical Figures
570 views
Area of a Parallelogram
385 views
Word Problem of Area of a Parallelogram
430 views
Surface Area of Cubes
506 views
Surface Area of Cuboids
466 views
π as the Ratio Between Circumference-Circle & Diameter
1115 views
Measurement of the Circumference of a Circle
280 views
Area of a Circular Region
564 views
Area of Concentric Circles
1087 views
9.3: Volumes (
Practice Test
)
Shapes of Three Dimensional Solids
633 views
Concept of Cube and Cuboid
3324 views
Volume of Cubes
316 views
Volume of Cuboids
317 views
Volume of Cylinder
807 views
Volume of Cones
1113 views
Volume of Sphere
3568 views
Real life problems related to volume
Chapter 10 Introduction to Coordinate Geometry (
15 videos
)
(
Practice Test
)
10.1: Coordinate Geometry (
Practice Test
)
Derivation of Distance formula
11702 views
Problem1-Derivation of Distance formula
1869 views
Problem2-Derivation of Distance formula
1290 views
Use of Distance formula
5389 views
Problem1-Use of Distance formula
3710 views
Problem2-Use of Distance formula
839 views
10.2: Collinear Points (
Practice Test
)
Showing Collinearity of Points-Distance Formula
1769 views
Problem-Showing Collinearity of Points-Distance Formula
1035 views
Verify a Triangle to be Equilateral using Distance Formula
1130 views
Problem-Showing Triangle is Equilateral-Distance Formula
724 views
Showing Triangle is Isosceles-Distance Formula
826 views
Showing Triangle is Right Angle-Distance Formula
655 views
Problem-Showing Triangle is Right Angle-Distance Formula
528 views
Showing Triangle is Scalene-Distance Formula
571 views
Problem-Showing Triangle is Scalene-Distance Formula
450 views
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