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. Equations and Expressions
07. Story Problem for Equation
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. Finding Square Roots of Decimal Fractions - I
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. Problems on Radicals - III
19. Arithmetic - Irrational Numbers Review - 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. Finding Square Roots of Decimal Fractions - II
37. Multiplication of Radicals - I
38. Subtraction of Radicals - II
39. Subtraction of Radicals - I
40. Addition of Radicals - III
41. Addition of Radicals - II
42. Addition of Radicals - I
43. Radicals - Descending Order
44. Radicals - Ascending Order
45. Comparing Radicals
46. Mixed Radicals or Surds
47. Pure Radicals or Surds
48. Simplifying Radicals
49. Laws of Radicals - Radicals and Exponents Combined
50. Laws of Radicals - Radical of a Radical
51. Laws of Radicals - Division of Radicals
52. Laws of Radicals - Multiplication of Radicals
53. Types of Radicals
54. Radicals
55. Problems on Radicals - II
56. Problems on Radicals - I
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. Multiplication of Radicals - III
67. Problems on Radicals Using Formulas - III
68. Problems on Radicals Using Formulas - II
69. Problems on Radicals Using Formulas - I
70. Distributive Law
71. Division of Radicals - II
72. Division of Radicals - I
73. Multiplication of Radicals - II
74. Review - Radicals

Topic 3. Introduction to Logarithms

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

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

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

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

Topic 9. Linear Equations and Inequations

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

Topic 10. 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 11. Matrices

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

Topic 12. Geometry

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

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