10th Grade Math

10th Grade Math Topics, Lessons, Worksheets, Quiz, Questions with Answer Key, Practice Problems

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 Half-Yearly
  • 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
    • Mark-ups 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 Value-added Tax
    • Worksheet on Mark-ups 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 x-axis
  • Reflection of a Point in the y-axis
  • Reflection of a Point in the Origin
  • Reflection of a Point in a Line Parallel to the x-axis
  • Reflection of a Point in a Line Parallel to the y-axis
  • Problems on Reflection in the x-axis or y-axis
  • 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
  • Slope-intercept Form of a Straight Line
  • Point-slope Form of a Line
  • Two-point Form of a Line
  • Equally Inclined Lines
  • Slope and Y-intercept 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 Two-point Form
  • Worksheet on Point-slope 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
  • Cumulative-Frequency Curve
  • Problems on Histogram
  • Problems on Frequency Polygon
  • Problems on Cumulative-Frequency Curve

Measures of Central Tendency

  • Mean of Ungrouped Data
  • Problems on Mean of Ungrouped Data
  • Mean of Grouped Data
  • Mean of Classified Data
  • Step-deviation 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 Non-Exclusive 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 2-D 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 hands-on 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.

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