With our 10th Grade Math Topics, your kid will learn the key algebra concepts and skills needed. If you have any doubts on what a 10th Grader must know then follow the 10th Grade Math Curriculum. Determine Progress and build on Knowledge and expand the skillset. Attempt the exam with utmost confidence and Achieve Success in your learning path. Hone your skills and enhance your Math Proficiency and score better grades in the exam.
Tenth Grade Math Lessons, Practice Test, Worksheets, Textbook Questions and Answer Key
For the sake of your comfort, we have curated the Tenth Grade Math Topics adhering to the syllabus guidelines. All you have to do is just tap on the quick links available and learn the concepts quite easily. Practicing from the 10th Grade Math Lessons you can understand the concepts quite easily and build confidence too. Solving regularly from the Tenth Grade Math Worksheets you can assess your preparation level from time to time and improvise on the areas accordingly.
Commercial Mathematics
Compound Interest
 Compound Interest Definition
 Compound Interest
 Compound Interest with Growing Principal
 Compound Interest with Periodic Deductions
 Compound Interest by Using Formula
 Compound Interest when Interest is Compounded Yearly
 Compound Interest when Interest is Compounded HalfYearly
 Compound Interest when Interest is Compounded Quarterly
 Problems on Compound Interest
 Variable Rate of Compound Interest
 Difference of Compound Interest and Simple Interest
 Practice Test on Compound Interest
 Uniform Rate of Growth
 Uniform Rate of Depreciation
 Uniform Rate of Growth and Depreciation
Sales Tax and Value Added Tax

 Calculation of Sales Tax
 Sales Tax in a Bill
 Markups and Discounts Involving Sales Tax
 Profit Loss Involving Tax
 Value Added Tax
 Problems on Value Added Tax (VAT)
 Worksheet on Printed Price, Rate of Sales Tax and Selling Price
 Worksheet on Profit/Loss Involving Sales Tax
 Worksheet on Sales Tax and Valueadded Tax
 Worksheet on Markups and Discounts Involving Sales Tax
Shares and Dividends
 Share and Value of Shares
 Dividend and Rate of Dividend
 Calculation of Income, Return, and Number of Shares
 Problems on Income and Return from Shares
 Problems on Shares and Dividends
 Worksheet on Basic Concept on Shares and Dividends
 Worksheet on Income and Return from Shares
 Worksheet on Share and Dividend
Algebra/Linear Algebra
Linear Inequations in One Variable(Unknown)
 Linear Inequation in One Variable
 Laws of Inequality
 Replacement Set and Solution Set in Set Notation
 Difference Between Equation and Inequation
 Solving a Linear Inequation Algebraically
 Problems on Law of Inequality
 Problems on Linear Inequation
 Worksheet on Laws of Inequality
 Worksheet on Solution of a Linear Inequation in One Variable
Quadratic Equation
 Introduction to Quadratic Equation
 Formation of Quadratic Equation in One Variable
 Solving Quadratic Equations
 General Properties of Quadratic Equation
 Methods of Solving Quadratic Equations
 Roots of a Quadratic Equation
 Examine the Roots of a Quadratic Equation
 Problems on Quadratic Equations
 Quadratic Equations by Factoring
 Word Problems Using Quadratic Formula
 Examples on Quadratic Equations
 Word Problems on Quadratic Equations by Factoring
 Worksheet on Formation of Quadratic Equation in One Variable
 Worksheet on Quadratic Formula
 Worksheet on Nature of the Roots of a Quadratic Equation
 Worksheet on Word Problems on Quadratic Equations by Factoring
Factorization
 Polynomial
 Polynomial Equation and its Roots
 Division Algorithm
 Remainder Theorem
 Problems on Remainder Theorem
 Factors of a Polynomial
 Worksheet on Remainder Theorem
 Factor Theorem
 Application of Factor Theorem
Ratio and Proportion
 Basic Concept of Ratios
 Important Properties of Ratios
 Ratio in Lowest Term
 Types of Ratios
 Comparing Ratios
 Arranging Ratios
 Dividing into a Given Ratio
 Divide a Number into Three Parts in a Given Ratio
 Dividing a Quantity into Three Parts in a Given Ratio
 Problems on Ratio
 Worksheet on Ratio in Lowest Term
 Worksheet on Types of Ratios
 Worksheet on Comparison on Ratios
 Worksheet on Ratio of Two or More Quantities
 Worksheet on Dividing a Quantity in a Given Ratio
 Word Problems on Ratio
 Proportion
 Definition of Continued Proportion
 Mean and Third Proportional
 Word Problems on Proportion
 Worksheet on Proportion and Continued Proportion
 Worksheet on Mean Proportional
 Properties of Ratio and Proportion
Matrix
 Definition of a Matrix
 Order of a Matrix
 Position of an Element in a Matrix
 Classification of Matrices
 Problems on Classification of Matrices
 Square Matrix
 Row Matrix
 Column Matrix
 Null Matrix
 Equal Matrices
 Identity (or Unit) Matrix
 Triangular Matrix
 Addition of Matrices
 Addition of Two Matrices
 Properties of Addition of Matrices
 Negative of a Matrix
 Subtraction of Matrices
 Subtraction of Two Matrices
 Scalar Multiplication of a Matrix
 Multiplication of a Matrix by a Number
 Properties of Scalar Multiplication of a Matrix
 Multiplication of Matrices
 Multiplication of Two Matrices
 Problems on Understanding Matrices
 Worksheet on Understanding Matrix
 Worksheet on Addition of Matrices
 Worksheet on Matrix Multiplication
 Worksheet on Matrix
Reflection and Coordinate Geometry
Reflection
 Position of a Point in a Plane
 Reflection of a Point in a Line
 Reflection of a Point in the xaxis
 Reflection of a Point in the yaxis
 Reflection of a Point in the Origin
 Reflection of a Point in a Line Parallel to the xaxis
 Reflection of a Point in a Line Parallel to the yaxis
 Problems on Reflection in the xaxis or yaxis
 Invariant Points for Reflection in a Line
 Reflection in Lines Parallel to Axes
 Worksheet on Reflection in the Origin
Distance and Section Formulae
 Distance Formula
 Distance Properties in some Geometrical Figures
 Conditions of Collinearity of Three Points
 Problems on Distance Formula
 Distance of a Point from the Origin
 Distance Formula in Geometry
 Section Formula
 Midpoint Formula
 Centroid of a Triangle
 Worksheet on Distance Formula
 Worksheet on Collinearity of Three Points
 Worksheet on Finding the Centroid of a Triangle
 Worksheet on Section Formula
Equation of a Straight Line
 Inclination of a Line
 Slope of a Line
 Intercepts Made by a Straight Line on Axes
 Slope of the Line Joining Two Points
 Equation of a Straight Line
 Slopeintercept Form of a Straight Line
 Pointslope Form of a Line
 Twopoint Form of a Line
 Equally Inclined Lines
 Slope and Yintercept of a Line
 Condition of Perpendicularity of Two Straight Lines
 Condition of parallelism
 Problems on Condition of Perpendicularity
 Worksheet on Slope and Intercepts
 Worksheet on Slope Intercept Form
 Worksheet on Twopoint Form
 Worksheet on Pointslope Form
 Worksheet on Collinearity of 3 Points
 Worksheet on Equation of a Straight Line
Geometry and Measurement
Loci
 Concept of loci
 Theorems on Locus of a Point which is Equidistant from Two Fixed Points
Properties of Tangents
 Secant and Tangent
 Common Tangents to Two Circles
 Tangent – Perpendicular to Radius
 Two Circles Touch each Other
 Two Tangents from an External Point
 Angles between the Tangent and the Chord
 Problems on Properties on Tangents
 Chord and Tangent Intersect Externally
 Direct Common Tangents
 Important Properties of Direct Common Tangents
 Transverse Common Tangents
 Important Properties of Transverse Common Tangents
 Examples of Loci Based on Circles Touching Straight Lines or Other Circles
 Circumcircle of a Triangle
 Incircle of a Triangle
 Circumcentre and Incentre of a Triangle
 Solved on the Basic Properties of Tangents
 Problems on Two Tangents to a Circle from an External Point
 Two Tangents are Drawn to a Circle from an External Point
 Two Parallel Tangents of a Circle Meet a Third Tangent
 Contact of Two Circles
 Tangent is Parallel to a Chord
 Measure of the Angles of the Cyclic Quadrilateral
 Problems on Relation Between Tangent and Secant
 Problems on Common Tangent to Two Circles
Area and Perimeter of a Circle

 Area and Perimeter of a Circle
 Area and Perimeter of a Sector of a Circle
 Area and Perimeter of a Semicircle and Quadrant of a Circle
 Area of Combined Figures
 Area of the Shaded Region
 Find the Area of the Shaded Region
 Application Problems on Area of a Circle
Trigonometry
Trigonometrical Ratios and Identities
 Basic Trigonometric Ratios
 Relations Between the Trigonometric Ratios
 Properties of Trigonometrical Ratios
 Problems on Trigonometric Ratios
 Reciprocal Relations of Trigonometric Ratios
 Trigonometrical Identity
 Problems on Trigonometric Identities
 Elimination of Trigonometric Ratios
 Eliminate Theta between the equations
 Problems on Eliminate Theta
 Trig Ratio Problems
 Proving Trigonometric Ratios
 Trig Ratios Proving Problems
 Verify Trigonometric Identities
 Trigonometric Identities
 Elimination of Unknown Angles
 Finding the Unknown Angle
 Worksheet on Trigonometric Identities
 Worksheet on Evaluation Using Trigonometric Identities
 Worksheet on Establishing Conditional Results
 Worksheet on Elimination of Unknown Angle(s)
 Worksheet on Finding the Unknown Angle
 Problems on Relation between the Ratios
Trigonometric Ratios of Complementary Angles
 Complementary Angles and their Trigonometric Ratios
 Worksheet on Evaluation using Trigonometric Ratios of Complementary Angles
 Worksheet on Establishing Equality using Trigonometric Ratios of Complementary Angles
 Worksheet on Establishing Identities and Simplification Using Trigonometric Ratios of Complementary Angles
Height and Distance
 Angle of Elevation
 Angle of Depression
 Height and Distance with Two Angles of Elevation
 Finding sin Value from Trigonometric Table
 Finding cos Value from Trigonometric Table
 Finding tan Value from Trigonometric Table
 Worksheet on Heights and Distances
Statistics and Probability
Graphical Representation
 Histogram
 Frequency Polygon
 Method of Constructing a Frequency Polygon with the Help of a Histogram
 Method of Constructing Frequency Polygon with the Help of Class Marks
 CumulativeFrequency Curve
 Problems on Histogram
 Problems on Frequency Polygon
 Problems on CumulativeFrequency Curve
Measures of Central Tendency
 Mean of Ungrouped Data
 Problems on Mean of Ungrouped Data
 Mean of Grouped Data
 Mean of Classified Data
 Stepdeviation Method
 Finding the Mean from Graphical Representation
 Worksheet on Finding the Mean of Raw Data
 Worksheet on Finding the Mean of Arrayed Data
 Worksheet on Finding the Mean of Arrayed Data
 Median of Raw Data
 Problems on Median of Raw Data
 Finding the Median of Grouped Data
 Lower Quartile and the Method of Finding it for Raw Data
 Upper Quartile and the Method of Finding it for Raw Data
 Find the Quartiles for Arrayed Data
 Range and Interquartile Range
 Median Class
 Estimate Median, Quartiles from Ogive
 Worksheet on Finding the Median of Raw Data
 Worksheet on Finding the Median of Arrayed Data
 Worksheet on Finding the Quartiles & Interquartile Range of Raw Data
 Worksheet on Estimating Median and the Quartiles using Ogive
Probability
 Probability
 Definition of Probability
 Random Experiments
 Experimental Probability
 Events in Probability
 Empirical Probability
 Coin Toss Probability
 Probability of Tossing Two Coins
 Probability of Tossing Three Coins
 Complimentary Events
 Mutually Exclusive Events
 Mutually NonExclusive Events
 Conditional Probability
 Theoretical Probability
 Odds and Probability
 Playing Cards Probability
 Probability and Playing Cards
 Probability Rolling a Die
 Probability for Rolling Two Dice
 Probability for Rolling Three Dice
 Solved Probability Problems
 Probability Questions Answers
 Coin Toss Probability Worksheet
 Worksheet on Playing Cards
 10th Grade Worksheet on Probability
Goals & Objectives of 10th Grade
Below is the list of objectives that a 10th Grader must meet by the end of the year. They are in the following fashion
 Analyze descriptions and diagrams that illustrate postulates about points, lines, and planes.
 Decompose 2D Figures.
 Interpret Union and Intersection of Sets using Set Notation and Venn Diagrams.
 Prove Angle Relationships given parallel lines cut by a transversal.
Why Choose 10th Grade Math Curriculum?
 You can access the Grade 10 Lessons 24/7 so that your child can work even after school.
 All the Grade 10 Math Topics provided are as per the latest Common Core State Standards syllabus guidelines.
 Visually appealing lessons and handson activities make it easy for you to learn math in a fun and engaging way.
 Detailed concepts provided helps students better understand them and get a good hold of them.
Final Words
We as a team believe the knowledge shared about Grade 10 Math Topics has helped you to a possible extent. In case of any further assistance needed do leave us your doubts so that we can look into them. Keep connected to our site to avail updates on Gradewise Math Articles in split seconds.