High School Mathematics
Topics & Worksheets

Topic 1. Algebra Basics

ChapterDateNotes
01. Converting Sentences into Mathematical Form
   
   
02. Algebraic Expressions
   
   
03. Mathematical Statement
   
   
04. Algebraic Equations
   
   
05. Algebraic Equations and Expressions
   
   
06. Story Problem for Equation
   
   
07. Equations and Expressions
   
   
08. Solving an Equation by Guess Method
   
   
09. Solving Equations - 2
   
   
10. Solving Equations - 3
   
   
11. Applications of Simple Equations
   
   
12. Solving Equations
   
   
13. Basic Operations With Variables - I
   
   
14. Basic Operations With Variables - II
   
   
15. Translating Verbal Statements into Algebraic Expressions
   
   
16. Linear and Non-Linear Equations
   
   
17. Linear Equations
   
   
18. Linear Equations - 2
   
   
19. Linear Equations - One Variable
   
   
20. Linear Equations - Two Variables
   
   
21. Linear Equations in Two Variables- Solving by the Method of Substitution
   
   
22. Linear Equations in Two Variables- Solving by the Method of Elimination
   
   
23. Linear Equation - Three Variables
   
   
24. Solve the Equations Using Graphs - I
   
   
25. Solve the Equations Using Graphs - II
   
   
26. Review I
   
   

Topic 2. Arithmetic - Irrational Numbers

ChapterDateNotes
01. Arithmetic - Irrational Numbers Review - II
   
   
02. Square Root (Division Method) - II
   
   
03. Square Root (Division Method) - I
   
   
04. Problems on Square Root - III
   
   
05. Problems on Square Roots - II
   
   
06. Problems on Square Roots - I
   
   
07. Square Root (Factorization Method)
   
   
08. Radicals Review - IV
   
   
09. Radicals Review - III
   
   
10. Radicals Review - II
   
   
11. Radicals Review - I
   
   
12. Important Points in Radicals
   
   
13. Rationalize the Denominator - IV
   
   
14. Rationalize the Numerator
   
   
15. Rationalize the Denominator - III
   
   
16. Rationalize the Denominator - II
   
   
17. Rationalize the Denominator - I
   
   
18. Finding Square Roots of Decimal Fractions - I
   
   
19. Finding Square Roots of Decimal Fractions - II
   
   
20. Arithmetic - Irrational Numbers Review - I
   
   
21. Square Roots of Real Numbers Review - IV
   
   
22. Square Roots of Real Numbers Review - III
   
   
23. Square Roots of Real Numbers Review - II
   
   
24. Square Roots of Real Numbers Review - I
   
   
25. Important Points in Extraction of Square Roots of Real Numbers
   
   
26. Application of Square Root - IV
   
   
27. Application of Square Root - III
   
   
28. Application of Square Root - II
   
   
29. Application of Square Root - I
   
   
30. Finding Square Roots (Historical Method)
   
   
31. Square Roots Table
   
   
32. Finding Square Root of Common Fraction
   
   
33. Finding Square Roots of Numbers Which are not Perfect Square Numbers - II
   
   
34. Finding Square Roots of Numbers Which are not Perfect Square Numbers - I
   
   
35. Finding Square Roots of Decimal Fractions - III
   
   
36. Problems on Radicals - III
   
   
37. Problems on Radicals - II
   
   
38. Problems on Radicals - I
   
   
39. Subtraction of Radicals - II
   
   
40. Subtraction of Radicals - I
   
   
41. Addition of Radicals - III
   
   
42. Addition of Radicals - II
   
   
43. Addition of Radicals - I
   
   
44. Radicals - Descending Order
   
   
45. Radicals - Ascending Order
   
   
46. Comparing Radicals
   
   
47. Mixed Radicals or Surds
   
   
48. Pure Radicals or Surds
   
   
49. Simplifying Radicals
   
   
50. Laws of Radicals - Radicals and Exponents Combined
   
   
51. Laws of Radicals - Radical of a Radical
   
   
52. Laws of Radicals - Division of Radicals
   
   
53. Laws of Radicals - Multiplication of Radicals
   
   
54. Types of Radicals
   
   
55. Multiplication of Radicals - I
   
   
56. Multiplication of Radicals - II
   
   
57. Rationalizing Radicals Using its Conjugate
   
   
58. Conjugate Radical
   
   
59. Rationalization of Binomial Radicals - III
   
   
60. Rationalization of Binomial Radicals - II
   
   
61. Rationalization of Binomial Radicals - I
   
   
62. Rationalization of Monomial Radicals - IV
   
   
63. Rationalization of Monomial Radicals - III
   
   
64. Rationalization of Monomial Radicals - II
   
   
65. Rationalization of Monomial Radicals - I
   
   
66. Division of Radicals - I
   
   
67. Division of Radicals - II
   
   
68. Distributive Law
   
   
69. Problems on Radicals Using Formulas - I
   
   
70. Problems on Radicals Using Formulas - II
   
   
71. Problems on Radicals Using Formulas - III
   
   
72. Multiplication of Radicals - III
   
   
73. Radicals
   
   
74. Review - Radicals
   
   

Topic 3. Introduction to Logarithms

ChapterDateNotes
01. Logarithmic Form
   
   
02. Problems on Logarithms - VI
   
   
03. Problems on Logarithms - VII
   
   
04. Problems on Logarithms - VIII
   
   
05. Problems on Logarithms - IX
   
   
06. Characteristic and Mantissa of a Logarithm
   
   
07. Finding Number of Digits
   
   
08. Problems on Logarithms - X
   
   
09. Important Points in Logarithms
   
   
10. Logarithms Review - I
   
   
11. Logarithms Review - II
   
   
12. Logarithms Review - III
   
   
13. Problems on Logarithms - V
   
   
14. Prove the Statements
   
   
15. Simplifying the Logarithms - II
   
   
16. Exponential Function
   
   
17. Unity in Logarithms
   
   
18. Logarithm of a Product
   
   
19. Logarithm of a Quotient
   
   
20. Logarithm of a Power
   
   
21. Problems on Logarithms - I
   
   
22. Problems on Logarithms - II
   
   
23. Problems on Logarithms - III
   
   
24. Change of base of a Logarithm
   
   
25. Problems on Logarithms - IV
   
   
26. Simplifying the Logarithms - I
   
   
27. Logarithms Review - IV
   
   

Topic 4. Solid Geometry - Surface Area and Volumes of Solids

ChapterDateNotes
01. Geometry Formulas Summary
   
   
02. Formulas - Volumes of Three Dimensional Shapes
   
   
03. Formulas - Surface and Lateral Surface Areas of Solids
   
   
04. Lateral Surface Area of a Cube
   
   
05. Total Surface Area of a Cube
   
   
06. Lateral Surface Area of a Cuboid
   
   
07. Total Surface Area of a Cuboid
   
   
08. Volume of Cuboid
   
   
09. Word Problems on Sphere - I
   
   
10. Volume of The Sphere
   
   
11. Surface Area of a Sphere - III
   
   
12. Surface Area of a Sphere - II
   
   
13. Surface Area of a Sphere - I
   
   
14. Cone Review - II
   
   
15. Word Problems on Cone - I
   
   
16. Cone Review - I
   
   
17. Important Points on Cone
   
   
18. Word Problems on Cone - III
   
   
19. Word Problems on Cone - II
   
   
20. Word Problems on Sphere - II
   
   
21. Important Points in Sphere
   
   
22. Word Problems on Sphere - III
   
   
23. Solid Geometry Final Review - IV
   
   
24. Solid Geometry Final Review - III
   
   
25. Solid Geometry Final Review - II
   
   
26. Solid Geometry Final Review - I
   
   
27. Solid Geometry - Review
   
   
28. Total Surface Area of Hemisphere
   
   
29. Surface Area of Hemisphere
   
   
30. Review on Sphere - II
   
   
31. Review on Sphere - I
   
   
32. Volume of The Cone
   
   
33. Curved Surface Area of Cone
   
   
34. Area of Base of Cone
   
   
35. Word Problems on Cylinder - I
   
   
36. Lateral Surface Area of a Cylinder
   
   
37. Prism Review - III
   
   
38. Prism Review - II
   
   
39. Prism Review - I
   
   
40. Important Points in Prism
   
   
41. Length of the Edges of Triangular Prism
   
   
42. Volume of the Prism - IV (Hexagonal Prism)
   
   
43. Volume of The Prism - III
   
   
44. Volume of The Prism - II (Right Angled Isosceles Triangle Prism)
   
   
45. Volume of the Prism - I (Triangular Prism)
   
   
46. Total Surface Area of a Triangular Prism
   
   
47. Word Problems on Cylinder - II
   
   
48. Curved Surface Area of a Cylinder
   
   
49. Slant Height of a Cone
   
   
50. Total Surface Area of a Cone
   
   
51. Cylinder Review - II
   
   
52. Cylinder Review - I
   
   
53. Important Points in Cylinder
   
   
54. Total Surface Area of a Cylinder - I
   
   
55. Curved Surface Area of a Cylinder - I
   
   
56. Radius of The Cylinder
   
   
57. Volume of the Cylinder - III
   
   
58. Volume of the Cylinder - II
   
   
59. Volume of the Cylinder - I
   
   
60. Total Surface Area of a Cylinder
   
   
61. Lateral Surface Area of a Triangular Prism
   
   

Topic 5. Revision of Exponents and Algebraic Expressions

ChapterDateNotes
01. Revision of Algebraic Expressions - I
   
   
02. Revision of Algebraic Expressions - II
   
   
03. Revision of Algebraic Expressions - III
   
   
04. Revision of Algebraic Expressions - IV
   
   
05. Revision of Algebraic Expressions - V
   
   
06. Revision of Algebraic Expressions - VI
   
   
07. Important Points
   
   

Topic 6. Quadratic Expressions - Square Roots of Algebraic Expressions

ChapterDateNotes
01. Square Root of Monomials - Perfect Squares
   
   
02. Reciprocal Equation
   
   
03. Solving Quadratic Equation by Using Quadratic Formula
   
   
04. Relation Between Roots and Coefficients of a Quadratic Equation
   
   
05. Forming a Quadratic Equation Using Its Roots
   
   
06. Nature of the Roots of a Quadratic Equation
   
   
07. Problems on Roots
   
   
08. Square Roots and Algebraic Expressions Review
   
   
09. Square Roots of Algebraic Expressions Review - I
   
   
10. Solving Equations Reducible to Quadratic Form
   
   
11. Solving Quadratic Equations by Method of Factorization
   
   
12. Method of Finding Square Roots - Inspection Method
   
   
13. Finding Square Root by Division Method
   
   
14. Finding Square Root of The Method of Undetermined Coefficient
   
   
15. Problems on Square Root - I
   
   
16. Problems on Square Roots - II
   
   
17. Problems on Square Roots - III
   
   
18. Homogeneous Expressions
   
   
19. Symmetric and Cyclic Expressions
   
   
20. Square Roots of Algebraic Expressions Review - II
   
   

Topic 7. Sets

ChapterDateNotes
01. Union of Sets
   
   
02. Intersection of Sets
   
   
03. Problems on Sets
   
   
04. Prove The Given Statements
   
   
05. Difference of Two Sets
   
   
06. Complement of Sets
   
   
07. Problems on Sets Using Diagrams - I
   
   
08. Problems on Sets Using Diagrams - II
   
   
09. Important Points in Sets
   
   

Topic 8. Relations

ChapterDateNotes
01. Cartesian Product of Sets
   
   
02. Relations and Functions
   
   
03. Types of Relations - Reflexive, Symmetric, Anti-Symmetric, Transitive, and Equivalance
   
   
04. Types of Relations - One-to-One, One-to-Many, Many-to-One and Many-to-Many
   
   
05. Inverse Relation or Inverse Functions
   
   
06. Domain and Range of a Relation using Diagrams
   
   
07. Domain and Range of a Relation
   
   
08. Problems on Relations
   
   
09. Cartesian Product With Diagrams
   
   
10. Important Points in Relations
   
   

Topic 9. Coordinate Geometry

ChapterDateNotes
01. General Concepts - Coordinate Geometry or Cartesian C or Analytical Geometry
   
   
02. Coordinate Plane - Quadrants
   
   
03. Problems: Find the value of x and y
   
   
04. Slope - I
   
   
05. Slope - II
   
   
06. Slope - III
   
   
07. Parallel Line - Slope
   
   
08. Distance Between Two Points
   
   
09. Mid Point of the Segment Joining Two Points
   
   
10. The Point Slope Form of a Line
   
   
11. Intercept Form of a Line
   
   
12. The Two Points Form of A Line
   
   
13. Parallel Lines & Perpendicular Lines - Slope
   
   
14. The Slope - Intercept Form of a Line
   
   
15. Problems on Slope
   
   
16. Coordinate Geometry - Review
   
   

Topic 10. Linear Equations and Inequations

ChapterDateNotes
01. Finding The Value of X
   
   
02. Solve Absolute Value Inequalities
   
   
03. Solve Absolute Value Equations
   
   
04. Linear equations and inequation Review - II
   
   
05. Linear Equations and inequation Review - I
   
   
06. Solving Inequations Using Graphical Method
   
   
07. Solving Inequations
   
   
08. Representing Inequation on Number Line
   
   
09. Solving Equations Using Graphical Method
   
   
10. Solving Equations
   
   
11. Absolute Value Inequalities - 2
   
   

Topic 11. Matrices

ChapterDateNotes
01. Matrix and Order of a Matrix
   
   
02. Subtraction of Matrices
   
   
03. Distributive Law in Matrices (Addition)
   
   
04. Multiplication of Matrices - I
   
   
05. Multiplication of Matrices - II
   
   
06. Multiplication of Matrices - III
   
   
07. Properties of Matrices in Multiplication
   
   
08. Multiplication Distributes Over Addition
   
   
09. Important Points in Matrices
   
   
10. Scalar Product of Matrix
   
   
11. Symmetric Matrix and Skew Symmetric Matrix
   
   
12. Square Matrix and Rectangular Matrix
   
   
13. Row Matrix, Column Matrix and Null Matrix
   
   
14. Principal Diagonal of a Square Matrix, Scalar Matrix and Identity Matrix
   
   
15. Transpose of a Matrix
   
   
16. Equality of Two Matrices
   
   
17. Matrices Addition - I (Commutative)
   
   
18. Matrices Addition - II (Associative)
   
   
19. Identity Matrix in Addition and Additive Inverse
   
   
20. Matrices Review
   
   

Topic 12. Geometry

ChapterDateNotes
01. Final Review - II
   
   
02. Construction Review - I
   
   
03. Brahma Guptha's Theorem
   
   
04. Review - VII
   
   
05. Review - VI
   
   
06. Review - V
   
   
07. Important Points in Circles
   
   
08. Theorem - XXVI
   
   
09. Theorem - XXV
   
   
10. Theorem - XXIV
   
   
11. Theorems - XX_XXI_XXII_XXIII
   
   
12. Theorem - XIX
   
   
13. Theorem - XVIII
   
   
14. Theorem - XVII
   
   
15. Construction of Triangle - I
   
   
16. Construction of Triangle - II
   
   
17. Final Review - I
   
   
18. Construction Review - II
   
   
19. Solve The Problems Using Theorems - VI
   
   
20. Construction of Triangle - XII
   
   
21. Construction of Triangle - XI
   
   
22. Construction of Triangle - X
   
   
23. Construction of Triangle - IX
   
   
24. Construction of Triangle - VIII
   
   
25. Construction of Triangle - VII
   
   
26. Construction of Triangle - VI
   
   
27. Construction of Triangle - V
   
   
28. Construction of Triangle - IV
   
   
29. Construction of Triangle - III
   
   
30. Theorem - XVI
   
   
31. Theorem - XV - Circles
   
   
32. Review - IV
   
   
33. Concurrency Theorems
   
   
34. Theorem - V
   
   
35. Theorem - IV
   
   
36. Introduction to Locus
   
   
37. Review - III
   
   
38. Review - II
   
   
39. Review - I
   
   
40. Solve The Problems Using Theorems - II
   
   
41. Theorem - III
   
   
42. Theorem - II
   
   
43. Theorem - I
   
   
44. Solve The Problems Using Theorems - I
   
   
45. Problem Using Picture
   
   
46. Important Points - Locus
   
   
47. Solve The Problems Using Theorems - III
   
   
48. Important Points - Areas
   
   
49. Solve The Problems Using Theorems - IV
   
   
50. Find The Area of The Given Figure
   
   
51. Theorem - XIV
   
   
52. Theorem - XIII
   
   
53. Theorem - XII
   
   
54. Theorem - XI
   
   
55. Theorem - X
   
   
56. Theorem - IX
   
   
57. Theorem - VIII
   
   
58. Theorem - VII
   
   
59. Theorem - VI
   
   
60. Areas Introduction
   
   
61. Quadrilaterals - Review
   
   

Topic 13. Trasformation Geometry

ChapterDateNotes
01. Reflection Mapping, Finding the Reflection Image of a Point in a Line
   
   
02. Fixed Lines, Reflection Images of Parallel Lines, Collinearity and Betweenness
   
   
03. Reflections
   
   
04. Translation
   
   
05. Rotation
   
   
06. Dilation
   
   
07. Trasformations Review - Reflection, Rotation, Translation and Dilation
   
   
08. Transformations Review - II
   
   

Topic 14. Statistics

ChapterDateNotes
01. Range of a Data
   
   
02. Introduction to Statistics
   
   
03. Preparation of Frequency Table
   
   
04. Types of Variates - Discrete
   
   
05. Types of Variates - Continuous
   
   
06. Inclusive and Exclusive Class Intervals
   
   
07. Less Than Cumulative Frequency
   
   
08. Greater Than Cumulative Frequency
   
   
09. Classes, Tally Marks, Frequencies, Cumulative Frequencies
   
   
10. Cumulative Frequency
   
   
11. Forming a Frequency Table from a Cumulative Frequency Distribution
   
   
12. Finding out Unknown Entries from the Frequency Table
   
   
13. Graphical Representation of Statistical Data - Bar Graphs
   
   
14. Graphical Representation of Statistical Data - Histograms
   
   
15. Histogram
   
   
16. Frequency Polygon
   
   
17. Frequency Polygon - 2
   
   
18. Frequency Polygon without Histograms
   
   
19. Measures of Location or Measures of Central Tendency
   
   
20. Arithmetic Mean of Discrete Values
   
   
21. Properties of Arithmetic Mean
   
   
22. Median of Discrete Values
   
   
23. Partition Values for Discrete Variables (Percentiles, Quartiles and Interquartile Range)
   
   
24. Mode
   
   

Topic 15. Review Tests

ChapterDateNotes
01. Final Review - I
   
   
02. Final Review - II
   
   
03. Final Review - III
   
   
04. Final Review - IV
   
   
05. Final Review - V
   
   
06. Final Review - VI