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Math | O-Levels Year-4
Cambridge
O-Levels Year-4
Math (
Total Videos: 298
)
Preference
All Chapters
Chapter 1: Linear inequalities in two variables
Chapter 2: Further sets
Chapter 3: Probability of combined events
Chapter 4: Statistical data analysis
Chapter 5: Matrices
Chapter 7: Vectors
Chapter 9: Revision: Numbers and Algebra
Chapter 10: Revision: Geometry and Measurement
Chapter 11: Revision: Probability and statistics
Show Content
Select a chapter above and press 'Show Content'. Click a video topic below to view.
Chapter 1 Linear inequalities in two variables (
19 videos
)
  (
Practice Test
)
1.1: Linear inequalities in two variables (
Practice Test
)
Density Property
1308 views
Problem-Density Property
476 views
Archimedean Property of Inequality
1394 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
Inequality multiplicative Inverse
1460 views
Problem-Inequality multiplicative Inverse
416 views
Linear Equations in 1,2 and 3 Variables
5893 views
Problem-Linear Equations in 1,2 and 3 Variables
1039 views
Graphing of Linear Inequality in Two Variables
1978 views
More on Graphing of Linear Inequality in Two Variables
1536 views
Problem1-Graphing of Linear Inequality in Two Variables
1313 views
Problem2-Graphing of Linear Inequality in Two Variables
1149 views
Chapter 2 Further sets (
4 videos
)
2.1: Applications of Venn diagrams in problem sums (
Practice Test
)
Intersection of two sets
3447 views
Problem-Intersection of Two Sets
1149 views
Associativity of Intersection of three sets
2778 views
Problem-Intersection of Three Sets
683 views
Chapter 3 Probability of combined events (
12 videos
)
  (
Practice Test
)
3.1: Probability of single events (
Practice Test
)
Experiments and Sample Space
1601 views
Problem-Experiments and Sample Space
830 views
Definition of Probability
2434 views
Problem-Definition of Probability
999 views
3.2: Simple combined events, possibility diagrams and tree diagrams (
Practice Test
)
Simple Combined Events and Possibility Diagrams
834 views
Problem-Simple Combined Events and Possibility Diagrams
418 views
Simple Combined Events and Tree Diagrams
843 views
3.3: Addition law of probability and mutually exclusive events
Addition of Probabilities and Mutually Exclusive Events
1288 views
Problem-Addition of Probabilities of Mutually Exclusive Events
666 views
3.4: Multiplication law of probability and independent events (
Practice Test
)
Multiplication of Probabilities and Independent Events
987 views
More on Multiplication of Probabilities and Independent Events
683 views
Problem-Multiplication of Probabilities of Independent Events
389 views
Chapter 4 Statistical data analysis (
12 videos
)
  (
Practice Test
)
4.1: Cumulative frequency table and curve (
Practice Test
)
Construction of cumulative frequency table
3828 views
Problem-Construction of cumulative frequency table
2101 views
Drawing commulative frequency polygon or Ogive
1492 views
Problem-Drawing commulative frequency polygon or Ogive
1057 views
Cummulative Frequency Curve
974 views
4.2: Median, quartiles, percentiles, range and interquartile range (
Practice Test
)
Median, Quartiles and Percentiles
548 views
Interquartile Range
187 views
4.3: Box-and-Whisker plots
Box-and-Whisker Plots
152 views
4.4: Standard deviation (
Practice Test
)
Introduction to Variance and S.D
1847 views
Problem-Introduction to Variance and S.D
956 views
Uses, Properties of Standard Deviation
766 views
Problem-Uses, Properties of Standard Deviation
196 views
Chapter 5 Matrices (
53 videos
)
  (
Practice Test
)
5.1: Introduction to matrices (
Practice Test
)
Introducing Matrix
36598 views
More on Introducing Matrix
3625 views
Problem-Introducing Matrix
14050 views
Equal Matrices
7813 views
Problem1-Equal Matrices
5711 views
Problem2-Equal Matrices
3091 views
5.2: Addition and subtraction of matrices (
Practice Test
)
Addition of Matrices
4594 views
Problem-Addition of Matrices
2751 views
Subtraction of Matrices
2574 views
Problem-Subtraction of Matrices
1949 views
5.3: Matrix multiplication (
Practice Test
)
Multiplication of Matrix by Real Number
3354 views
Problem-Multiplication of Matrix by Real Number
2039 views
Multiplication of Matrices
5440 views
More on Multiplication of Matrices
572 views
Problem1-Multiplication of Matrices
3003 views
Problem3-Multiplication of Matrices
525 views
5.4: Determinant of a matrix (
Practice Test
)
Determinant of 2-by-2 Matrix
4896 views
Minor of an Element of a Matrix and Its Determinant
1986 views
Problem-Minor of an Element of a Matrix or Its Determinant
863 views
Cofactor of an Element of a Matrix
2135 views
Problem-Cofactor of an Element of a Matrix
731 views
Determinant of a Sqaure Matrix of Order 3 or greater
1607 views
Problem-Determinant of a Sqaure Matrix of Order 3 or greater
960 views
Properties of Determinants
1893 views
More on Properties of Determinants
1045 views
Problem 1-Properties of Determinants
1191 views
Problem 2-Properties of Determinants
688 views
Problem 3-Properties of Determinants
582 views
Problem 4-Properties of Determinants
739 views
Properties of Determinants of Order Three
986 views
Problem-Properties of Determinants of Order Three
674 views
Alternate Method For Expanding a Third Order Determinant
885 views
Problem-Alternate Method For Expanding a Third Order Determinant
490 views
Singular and Non-Singular Matrix
3309 views
Problem-Singular and Non-Singular Matrix
1494 views
5.5: Inverse of a matrix (
Practice Test
)
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
Adjoint of a Square Matrix of Order n = 3 or n > 3
722 views
Problem-Adjoint of a Square Matrix of Order n = 3 or n > 3
497 views
Deriving a Method For Determining Inverses
1135 views
Problem-Deriving a Method For Determining Inverses
465 views
Inverse of Matrix by Row Operation
1299 views
Problem-Inverse of Matrix by Row Operation
468 views
More on Problem- Inverse of Matrix by Row Operation
367 views
Inverse of Matrix by Column Operation
1421 views
Problem-Inverse of Matrix by Column Operation
334 views
More on Problem-Inverse of Matrix by Column Operation
331 views
Chapter 7 Vectors (
33 videos
)
  (
Practice Test
)
7.1: Vectors in two dimensions (
Practice Test
)
Scalar and Vector Quantities
4744 views
Problem-Scalar and Vector Quantities
1988 views
Terminologies and Notations of Vectors
2088 views
Equal Vectors
1850 views
Vectors which are Opposite
1132 views
Problem-Vectors which are Opposite
705 views
Column Vectors
1185 views
7.2: Addition of vectors (
Practice Test
)
Addition of Vectors
2680 views
Problem-Addition of Vectors
606 views
Vector Addition is Associative
539 views
Problem-Vector Addition is Associative
490 views
Zero Vectors
884 views
7.3: Vector subtraction
Subtraction of Vectors
862 views
Problem-Subtraction of Vectors
421 views
7.4: Scalar multiples of a vector
Scalar Multiple of a Vector
970 views
Problem-Scalar Multiple of a Vector
486 views
7.5: Expression of a vector in terms of two other vectors
Expression of a Given Vector in Terms of two Vectors
943 views
Problem-Expression of a Given Vector in Terms of two Vectors
372 views
7.6: Position vectors
Position Vectors
1657 views
Problem-Position Vectors
540 views
7.7: Applications of vectors (
Practice Test
)
Problem-Properties of Magnitude of Vector
662 views
Notation for Representing Vectors in Plane
487 views
Problem-Notation for Representing Vectors in Plane
345 views
Components of a Vector
610 views
Properties of Vectors in Plane
492 views
More on Properties of Vectors in Plane
350 views
A Unit Vector in the Direction of Another Vector
633 views
Problem-A Unit Vector in the Direction of Another Vector
446 views
Notation for Vectors in Coordinate System
427 views
Problem-Notation for Vectors in Coordinate System
357 views
The Ratio Formula in Vector
912 views
Problem1-The Ratio Formula in Vector
528 views
Problem2-The Ratio Formula in Vector
297 views
Chapter 9 Revision: Numbers and Algebra (
78 videos
)
  (
Practice Test
)
9.1: Numbers and percentages (
Practice Test
)
Prime Factorization
2835 views
Problem-Prime Factorization
760 views
Product Law of Exponents of Rational Numbers
672 views
Problem-Product Law of Exponents of Rational Numbers
1082 views
Quotient Law of Exponents of Rational Numbers
537 views
Problem-Quotient Law of Exponents of Rational Numbers
856 views
Power Law of Rational Numbers
386 views
Problem-Power Law of Rational Numbers
667 views
Zero and negative indices
1286 views
Problem-Negative Exponent of Rational Numbers
637 views
Demonstration of the concept of power of an integer
360 views
Applications of Laws of Exponents
2191 views
Problem-Applying Laws of Exponents to Evaluate Expressions
412 views
Concept of Percentage
2178 views
Problem-Concept of Percentage
1401 views
Problem on Percentage by Using Unitary Method
1811 views
Problem on Percentage by Using Proportion
458 views
Ordering fractions using percentage
455 views
Solve Real Life Problems Involving Percentages
993 views
Problem-Solve Real Life Problems Involving Percentages
854 views
9.2: Proportion, ratio, rate and speed (
Practice Test
)
Direct Proportion
1222 views
Speed and Average Speed
872 views
Problems Involving Speed and Average Speed
386 views
9.3: Algebraic manipulation and formulae (
Practice Test
)
Simplification of Algebraic Expressions
1639 views
Problem-Simplification of Algebraic Expressions
561 views
Evaluation of Algebraic Expressions
1713 views
Problem-Evaluation of Algebraic Expressions
1411 views
Changing the Subject of a Formula
256 views
Further Examples on Changing the Subject of a Formula
114 views
Finding an Unknown in a Formula
201 views
Number Sequences
1904 views
General Term in a Number Sequence
1826 views
Problem Solving
963 views
9.4: Equations and inequalities (
Practice Test
)
Solution of Linear Equations
1322 views
Problem-Solution of Linear Equations
2802 views
Finding Solution Using Method of Equating the Coefficients
4365 views
Elimination by Substitution Method
4552 views
Finding Solution Using Method of Cross Multiplication
554 views
Solving Simultaneous Linear Equations -p1
829 views
More on Solving Simultaneous Linear Equations -p1
661 views
Solving Simultaneous Linear Equations -p2
286 views
More on Solving Simultaneous Linear Equations -p2
635 views
Introducing Linear Inequality
2079 views
Problem-Introducing Linear Inequality
1547 views
9.5: Functions and graphs (
Practice Test
)
Introduction to Function
33866 views
More on Introduction to Functions
11149 views
Problem1-Introduction to Function
6005 views
Problem2-Introduction to Function
677 views
Problem3-Introduction to Function
6740 views
Problem4-Introduction to Function
4776 views
Types of Relations
700 views
Inverse of a Function
4588 views
More on Inverse of a Function
1843 views
Problem1-Inverse of a Function
465 views
Problem2-Inverse of a Function
1803 views
Domain & Range of Inverse Function
520 views
Graphical Solution of the Equation
796 views
9.6: Graphs in practical situations (
Practice Test
)
Speed-Time Graphs
266 views
Graphs in Practical Situation
265 views
9.7: Sets (
Practice Test
)
Set Definition
66158 views
Problem-Set Definition
3598 views
Set Notation and its Characteristics
14544 views
Problem-Set Notation & its Characteristics
1665 views
Descriptive and Tabular Notation
7613 views
Problem-Presentation of a Set
490 views
Set Builder Notation
10597 views
Problem-Set Builder Notation
1875 views
Introducing Venn Diagram
10489 views
Problem-Introducing Venn Diagram
3237 views
9.8: Matrices (
Practice Test
)
Addition of Matrices
4594 views
Problem-Addition of Matrices
2751 views
Subtraction of Matrices
2574 views
Problem-Subtraction of Matrices
1949 views
Multiplication of Matrix by Real Number
3354 views
Problem-Multiplication of Matrix by Real Number
2039 views
Multiplication of Matrices
5440 views
More on Multiplication of Matrices
572 views
Problem1-Multiplication of Matrices
3003 views
Chapter 10 Revision: Geometry and Measurement (
76 videos
)
  (
Practice Test
)
10.1: Angles, Triangles and Polygons
Alternate and Corresponding Angles
2768 views
Problem-Alternate and Corresponding Angles
230 views
Concept of Alternate Interior Angles
701 views
Concept of Interior Angles
665 views
Problem- Finding Angles Formed by a Transversal
569 views
10.2: Congruence and similarity
Similar Triangles
98 views
Problem-Similar Triangles
4 views
10.3: Pythagoras' theorem and trigonometry (
Practice Test
)
Area of a Triangle with Given Sides
414 views
More on Area of a Triangle with Given Sides
285 views
Trigonometric Ratios of Acute Angles
5480 views
Problem-Trigonometric Ratios of An Acute Angle
1137 views
Trigonometric Ratios of 45 Degree
6104 views
Problem-Trigonometric Ratios of An Angle of 45 Degree
647 views
Trigonometric Ratios of 30 & 60 Degree
5589 views
Problem-Trigonometric Ratios of Angles of 30 & 60 Degree
712 views
Trigonometric Ratios of Complementary Angles
1822 views
Problem-Trigonometric Ratios of Complementary Angles
1262 views
Concept of Angle of Elevation & Depression
3762 views
Problem-Concept of Angle of Elevation & Depression
2307 views
Engineering and Heights and Distances
541 views
More on Engineering and Heights and Distances
403 views
Problem1-Engineering and Heights and Distances
278 views
Problem2-Engineering and Heights and Distances
242 views
Word problem when one Side and Angle of Elevation are Given
2256 views
Problem-When one Side & Angle of Elevation are Given
417 views
Heights and Distances
2217 views
Problem-Heights and Distances
982 views
Word problem when one Side and Angle of Depression are Given
1327 views
Problem1-when One Side & Angle of Depression are Given
1286 views
Problem2-when One Side & Angle of Depression are Given
207 views
Word problem when Hypotenuse and Angle of Elevation are Given
1016 views
Problem-when Hypotenuse & Angle of Elevation are Given
991 views
Word Problem with given Sides-Angle of Elevation-Depression
1016 views
Problem1-when Given Sides-Angle of Elevation-Depression
1387 views
Problem2-when Given Sides-Angle of Elevation-Depression
1074 views
Introducing Bearing
1423 views
Compass and True Bearing
158 views
10.4: Mensuration (
Practice Test
)
Relationship of Radius-Central Angle-Arc Length
4832 views
Problem1-Relationship of Radius-Central Angle-Arc Length
2380 views
Problem2-Relationship of Radius-Central Angle-Arc Length
816 views
Area of a Circular Sector
3384 views
Problem1-Area of a Circular Sector.
2179 views
Problem2-Area of a Circular Sector.
726 views
Problems Using Arcs and Sectors
740 views
More on Problems Using Arcs and Sectors
665 views
10.5: Geometrical transformation and symmetry (
Practice Test
)
Intercepts and Symmetry
201 views
Line of symmetry
Symmetric shapes on square grid
Symmetric shapes on dot pattern
Reflexive symmetry
Rotational symmetry
Identify all lines of symmetry of a shape
Point of rotation and order of rotational symmetry
10.6: Coordinate geometry (
Practice Test
)
Normal Form of Equation of Straight Line
1522 views
Problem1-Normal Form of Equation of Straight Line
653 views
Collinear& Non-Collinear Points
3267 views
Problem-Collinear& Non-Collinear Points
338 views
Perpendicular, Parallel lines
Problem-Perpendicular, Parallel lines
130 views
10.7: Vectors
Position Vectors
1657 views
Problem-Position Vectors
540 views
10.8: Properties of circles (
Practice Test
)
Proof-2 Tangents can be Drawn to Circle from Point
1036 views
More on Proof-2 Tangents can be Drawn to Circle from Point
780 views
Length of Tangent to Circle
2201 views
To Prove Circles Diameter is 2 Times its Radius
773 views
Chords Perpendicular Passes Centre of Circle
905 views
More on Chords Perpendicular Passes Centre of Circle
695 views
Line From Centre and Midpoint of Chord is Perp to it
552 views
More on Line From Centre and Midpoint of Chord is Perp to it
451 views
Congruent Chords are Equidistance from Centre of Circle
580 views
More on Congruent Chords are Equidistance from Centre of Circle
467 views
Angle in Semi-Circle is Right Angle
723 views
More on Angle in Semi-Circle is Right Angle
490 views
Perpendicular Radial Segment is Tangent to Circle
747 views
More on Perpendicular Radial Segment is Tangent to Circle
463 views
Tangent to Circle is Perpendicular to Radial Segment
538 views
Chapter 11 Revision: Probability and statistics (
11 videos
)
  (
Practice Test
)
11.1: Probability (
Practice Test
)
Simple Combined Events and Possibility Diagrams
834 views
Problem-Simple Combined Events and Possibility Diagrams
418 views
Multiplication of Probabilities and Independent Events
987 views
More on Multiplication of Probabilities and Independent Events
683 views
Problem-Multiplication of Probabilities of Independent Events
389 views
Multiplication of Probabilities of n Independent Events
454 views
Problem-Multiplication of Probabilities of n Independent Events
417 views
Simple Combined Events and Tree Diagrams
843 views
11.2: Statistics (
Practice Test
)
Introducing Dot Diagram
199 views
Box-and-Whisker Plots
152 views
Cummulative Frequency Curve
974 views
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