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……

Tenth Grade Math Lessons – Table of Contents

Algebra/Linear Algebra

Geometry and Measurement

Probability and Statistics


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


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 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

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

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.

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