Worksheets

High School Mathematics

Topic 1. Algebra Basics

ChapterDate
1. Converting Sentences into Mathematical Form.
2. Algebraic Expressions.
3. Mathematical Statement.
4. Algebraic Equations.
5. Algebraic Equations and Expressions.
6. Equations and Expressions.
7. Story Problem for Equation.
8. Solving an Equation by Guess Method.
9. 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

ChapterDate
1. Finding Square Roots of Decimal Fractions - I.
2. Square Root (Division Method) - II.
3. Square Root (Division Method) - I.
4. Problems on Square Root - III.
5. Problems on Square Roots - II.
6. Problems on Square Roots - I.
7. Square Root (Factorization Method).
8. Radicals Review - IV.
9. 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

ChapterDate
1. Logarithms Review - IV.
2. Logarithms Review - III.
3. Logarithms Review - II.
4. Logarithms Review - I.
5. Important Points in Logarithms.
6. Problems on Logarithms - X.
7. Finding Number of Digits.
8. Characteristic and Mantissa of a Logarithm.
9. 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

ChapterDate
1. Geometry Formulas Summary.
2. Formulas - Volumes of Three Dimensional Shapes.
3. Formulas - Surface and Lateral Surface Areas of Solids.
4. Lateral Surface Area of a Cube.
5. Total Surface Area of a Cube.
6. Lateral Surface Area of a Cuboid.
7. Total Surface Area of a Cuboid.
8. Volume of Cuboid.
9. 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

ChapterDate
1. Revision of Algebraic Expressions - I.
2. Revision of Algebraic Expressions - II.
3. Revision of Algebraic Expressions - III.
4. Revision of Algebraic Expressions - IV.
5. Revision of Algebraic Expressions - V.
6. Revision of Algebraic Expressions - VI.
7. Important Points.

Topic 6. Quadratic Expressions - Square Roots of Algebraic Expressions

ChapterDate
1. Square Roots of Algebraic Expressions Review - II.
2. Square Roots of Algebraic Expressions Review - I.
3. Square Roots and Algebraic Expressions Review.
4. Problems on Roots.
5. Nature of the Roots of a Quadratic Equation.
6. Forming a Quadratic Equation Using Its Roots.
7. Relation Between Roots and Coefficients of a Quadratic Equation.
8. Solving Quadratic Equation by Using Quadratic Formula.
9. 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

ChapterDate
1. Union of Sets.
2. Intersection of Sets.
3. Problems on Sets.
4. Prove The Given Statements.
5. Difference of Two Sets.
6. Complement of Sets.
7. Problems on Sets Using Diagrams - I.
8. Problems on Sets Using Diagrams - II.
9. Important Points in Sets.

Topic 8. Relations

ChapterDate
1. Cartesian Product of Sets.
2. Cartesian Product With Diagrams.
3. Problems on Relations.
4. Domain and Range of a Relation.
5. Domain and Range of a Relation using Diagrams.
6. Inverse Relation or Inverse Functions.
7. Types of Relations - One-to-One, One-to-Many, Many-to-One and Many-to-Many.
8. Types of Relations - Reflexive, Symmetric, Anti-Symmetric, Transitive, and Equivalance.
9. Relations and Functions.
10. Important Points in Relations.

Topic 9. Linear Equations and Inequations

ChapterDate
1. Finding The Value of X.
2. Solving Equations.
3. Solving Equations Using Graphical Method.
4. Representing Inequation on Number Line.
5. Solving Inequations.
6. Solving Inequations Using Graphical Method.
7. Linear Equations and inequation Review - I.
8. Linear equations and inequation Review - II.
9. Solve Absolute Value Equations.
10. Solve Absolute Value Inequalities.
11. Absolute Value Inequalities - 2.

Topic 10. Coordinate Geometry

ChapterDate
1. General Concepts - Coordinate Geometry or Cartesian C or Analytical Geometry.
2. Coordinate Plane - Quadrants.
3. Problems: Find the value of x and y.
4. Slope - I.
5. Slope - II.
6. Slope - III.
7. Parallel Line - Slope.
8. Distance Between Two Points.
9. 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

ChapterDate
1. Matrices Review.
2. Important Points in Matrices.
3. Multiplication Distributes Over Addition.
4. Properties of Matrices in Multiplication.
5. Multiplication of Matrices - III.
6. Multiplication of Matrices - II.
7. Multiplication of Matrices - I.
8. Distributive Law in Matrices (Addition).
9. 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

ChapterDate
1. Theorem - XVI.
2. Theorem - XVII.
3. Theorem - XVIII.
4. Theorem - XIX.
5. Theorems - XX_XXI_XXII_XXIII.
6. Theorem - XXIV.
7. Theorem - XXV.
8. Theorem - XXVI.
9. 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

ChapterDate
1. Reflection Mapping, Finding the Reflection Image of a Point in a Line.
2. Fixed Lines, Reflection Images of Parallel Lines, Collinearity and Betweenness.
3. Reflections.
4. Translation.
5. Rotation.
6. Dilation.
7. Trasformations Review - Reflection, Rotation, Translation and Dilation.
8. Transformations Review - II.

Topic 14. Statistics

ChapterDate
1. Range of a Data.
2. Introduction to Statistics.
3. Preparation of Frequency Table.
4. Types of Variates - Discrete.
5. Types of Variates - Continuous.
6. Inclusive and Exclusive Class Intervals.
7. Less Than Cumulative Frequency.
8. Greater Than Cumulative Frequency.
9. 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

ChapterDate
1. Final Review - I.
2. Final Review - II.
3. Final Review - III.
4. Final Review - IV.
5. Final Review - V.
6. Final Review - VI.