10th Grade Math

10th grade math topics are planned and covered all the lessons in different segments. 10th grade math help is provided for the 10th grade students in all segments to cover all the math lesson plans which are categorized into Arithmetic, Algebra, Geometry, Mensuration and Trigonometry.

All types of solved examples on different topics are explained along with the step-by-step solutions so that students can attempt how to solve these problems quickly in your own convenient methods. 10th grade math practice sheets are presented in such a way that students can learn math while practicing math problems.

Keeping in mind the mental level of student in tenth grade, every efforts has been made to introduce new concepts in a simple and easy language, so that the students can understand the problems easily.

The difficulty level of the 10th grade math problems has emphasized the theoretical as well as the numerical aspects of the mathematics course. Each topic contains a large number of examples to understand the applications of concepts.

To get prepared for 10th grade math test or exams students need to learn problems ratio and proportion, profit & loss and interest (simple and compound), ratio, proportion and variation, inequation, surds, graphing lines on the coordinate plane, solving literal equations, compound inequalities, graphing inequalities in two variables, multiplying binomials, polynomials, factoring techniques for trinomials, solving systems of equations, algebra word problems, variation, rational expressions, rational equations, graphs & functions, theorems on circle, theorems on tangent to a circle, theorems on similarity, constructions and appendix, triangle theorems & proofs, properties of polygons, transformations, trigonometric ratios, trigonometric ratios of complementary angles, application of trigonometric ratios in practical problems and etc……

If student follow math-only-math they can improve their knowledge by practicing the worksheets for 10th graders which will help them to score in their exam.

Tenth Grade Math Lessons – Table of Contents

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
  

Geometry and Measurement

Probability and Statistics

Pre-calculus

Mathematical Models with Applications

Trigonometrical Ratios

Basic Trigonometric Ratios: Learn the determination of trigonometrical ratios and their names.

Relations Between the Trigonometric Ratios: Learn how the trigonometric ratios related between each other.

Properties of Trigonometrical Ratios: Learn how to prove the properties of basic formula 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:

Problems on Relation between the Rations: Learn how to solve the problems based on the relation between the trigonometrical ratios.

● 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

● 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
  
• Square Matrix
• Row Matrix
• Column Matrix
  
• Null Matrix
• Equal Matrices
  
• Identity (or Unit) Matrix
• Triangular Matrix
  
• Addition of Matrices
  
• Properties of Addition of Matrices
  
• Subtraction of Matrices
  
• Scalar Multiplication of a Matrix
  
• Properties of Scalar Multiplication of a Matrix
  
• Multiplication of Matrices
  
• Worksheet on Addition of Matrices
  

● 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
• 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

● Loci

• Concept of loci
• Theorems on Locus of a Point which is Equidistant from Two Fixed Points
  

● Height and Distance

• Angle of Elevation
  
• Height and Distance with Two Angles of Elevation
  

● 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
  

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