# 9th Grade Math Homework Sheets

## 9th Grade Math

9th grade math lessons are planned and introduce in different activities. 9th grade math help is provided for the 9th grade students in all segments to cover all the math lesson plans which are categorized into Arithmetic, Algebra, Geometry and Mensuration.

All types of solved examples on different topics are explained along with the step-by-step solutions. 9th grade math practice sheets are arranged in such a way that students can learn math while practicing math problems.

Keeping in mind the mental level of student in ninth 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 9th 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 9th grade math test or exams students need to learn 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, circles, construction, triangle theorems & proofs, properties of polygons, transformations, trigonometry and etc……

If student follow math-only-math they can improve their knowledge by practicing the worksheets for 9th graders which will help them to score in their exam.

#### Ninth Grade Math Lessons – Table of Contents

#### Arithmetic

#### Rational Numbers

**Rational Numbers**

**Decimal Representation of Rational Numbers**

**Rational Numbers in Terminating and Non-Terminating Decimals**

**Recurring Decimals as Rational Numbers**

**Laws of Algebra for Rational Numbers**

**Comparison between Two Rational Numbers**

**Rational Numbers Between Two Unequal Rational Numbers**

**Representation of Rational Numbers on Number Line**

**Problems on Rational numbers as Decimal Numbers**

**Problems Based On Recurring Decimals as Rational Numbers**

**Problems on Comparison Between Rational Numbers**

**Problems on Representation of Rational Numbers on Number Line**

**Worksheet on Rational Number as Decimal Numbers**

**Worksheet on Recurring Decimals as Rational Numbers**

**Worksheet on Comparison between Rational Numbers**

**Worksheet on Representation of Rational Numbers on the Number Line**

#### Irrational Numbers

**Definition of Irrational Numbers**

**Decimal Representation of Irrational Number**

**Representation of Irrational Numbers on The Number Line**

**Comparison between Two Irrational Numbers**

**Comparison between Rational and Irrational Numbers**

**Real number between Two Unequal Real Numbers**

**Rationalization**

**Problems on Irrational Numbers**

**Problems on Rationalizing the Denominator**

**Worksheet on Irrational Numbers**

#### Profit and Loss

**Cost Price, Selling Price and Rates of Profit and Loss**

**Problems on Cost Price, Selling Price and Rates of Profit and Loss**

**Understanding Overheads Expenses**

**Worksheet on Cost Price, Selling Price and Rates of Profit and Loss**

**Understanding Discount and Mark Up**

**Successive Discount**

**Worksheet on Discount and Markup**

**Worksheet on the application of overhead Expenses**

**Worksheet on Successive Discounts**

### Compound Interest

**Introduction to Compound Interest**

**Compound Interest as Repeated Simple Interest**

**Formulae for Compound Interest**

**Comparison between Simple Interest and Compound Interest**

**Worksheet on Compound Interest as Repeated Simple Interest**

**Worksheet on Use of Formula for Compound Interest**

**Algebra/Linear Algebra**

**Linear Equations**

**Linear Equation in One Variable**

**Solution of a Linear Equation in One Variable**

**Laws of Equality**

**Method of Solving a Linear Equation in One Variable**

**Problems on Application of Linear Equations**

**Different Types of Problems in Linear Equation in One Variable**

**Worksheet on Linear Equation in One Variable**

**Worksheet on Forming of Linear Equations in One Variable**

**Worksheet on Solving a Word Problem by using Linear Equation in One Unknown**

**Changing the Subject of a Formula **

**Establishing an Equation**

**Subject of a Formula**

**Change of Subject of Formula**

**Evaluation of Subject by Substitution**

**Problem on Change the Subject of a Formula**

**Worksheet on Framing a Formula**

**Worksheet on Change of Subject**

**Simultaneous Linear equations**

**Solution of a Linear Equation in Two Variables**

**Method of Elimination**

**Method of Substitution**

**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**

**Geometry and Measurement**

**Triangles**

**Classification of Triangles on the Basis of Their Sides and Angles**

**Medians and Altitudes of a Triangle**

**Geometrical Property of Altitudes**

**Properties of Angles of a Triangle**

**Statistics**

**Arithmetic Mean**

**Word Problems on Arithmetic Mean**

**Properties of Arithmetic Mean**

**Problems Based on Average**

**Properties Questions on Arithmetic Mean**

**Probability**

**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 for Rolling Two Dice**

**Solved Probability Problems**

**Probability for Rolling Three Dice**

**Pre-calculus**

#### Mathematical Models with Applications

**Basic Trigonometry **

Trigonometry: Beginning of trigonometry and invention of trigonometry and how and why trigonometry is important.

Measurement of Trigonometric Angles: In trigonometry learn about the measurement of angles.

Different systems of measurement of angles and their units.

Sexagesimal System: Concept on understanding Sexagesimal System, problems on Sexagesimal System.

Circular System: Concept on understanding Circular System, problems on Circular System.

Radian is a Constant Angle: Proof that radian is a constant angle.

Relation between Sexagesimal and Circular: Learn about the relation between the units of the two systems.

Conversion from Sexagesimal to Circular System: Learn how to convert or express Sexagesimal to Circular System.

Conversion from Circular to Sexagesimal System: Learn how to convert or express Circular to Sexagesimal Systemm.

**Mathematical Analysis**

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## Worksheets By Grade Level

All the worksheets below are aligned to the Common Core Math Curriculum.

- Preschool - Preschool is a level that is overlooked by the core curriculum. I have done my best to address students at this level, without standards from which to work.
- Kindergarten - This grade level is heavily dependent on count skills. The geometry sections can often be challenging for the little ones.
- Grade 1 - We start working on our basic operations at this level. Hopefully we have a good understanding of subtraction by the time we are done.
- Grade 2 - You will master your basic operations and start looking at fractions and graphs in their most simplistic form.
- Grade 3 - Third grade starts to become heavy with fractions and measurement. It gets really hands on with tools as well. A really fun math grade to teach or learn.
- Grade 4 - We spend a great deal of time mastering fractions. We start to explore geometry and solve equations in basic algebra.
- Grade 5 - Students start to see real algebra for the first time. Multiplication and long division are at the core of this grade level.
- Grade 6- Proportions finally take hold and we are ready for real algebra at this grade level. The word problems actually get difficult.
- Grade 7- Statistics and probability start to get difficult for most. Trigonometry and relationship between algebra and geometry start to appear.
- Grade 8- Geometry and three step problems begin to dominate the curriculum. Those areas require a great deal of attention for students.
- High School: Numbers and Quantity- This is where the heat gets turned up a bit. From a walk to a run as far as curriculum goes.
- High School: Algebra - The root of all problems is finding like terms and simplifying by factoring. You have those two skills down and you're ahead of the game.
- High School Geometry - A mix of real-world applications can be found in this material. This math has many practical applications.
- High School Functions - Functions are a form of math that is in high demand at the corporate level. Chances are if your job uses functions often, you are successful.
- High School Statistics and Probability - The math skills that help you model and forecast what will happen with subtle changes.

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