Are you afraid of big numbers and complex equations? Then, don’t be because Maths is not that much complicated than any mess. Maths can become your friend if you put some effort to understand and solve it. If you’re dreaming to be the next math genius, then having a grip on all Maths basic and standard concepts is mandatory. So, browse the concepts prevailed here and start solving any kind of Math problem easily & quickly.

## Learn Basic Maths, Topics and Formulas for Mathematics

Mathematics is the only subject that we all will use at every single step of life. If you want to become a Math genius, all you need is a thorough understanding of the concepts of maths like basic calculations, tricks & tips to solve every sum. Students should have a grip on the basic concepts to comprehend their mathematical skills. However, we will learn Maths right from our kindergarten to doctorate courses. Moreover, we have often seen both Math lovers and haters at school time. Students hate the subject because of owing a lot of formulas, equations, figures, and complex calculations. At times, teaching and learning Mathematics become tedious but here comes the best solution to it.

At Aplustopper, Mathematics is treated as a fun subject, where you can learn and understand easily. Only required is to have a strong foundation on all basic concepts beginning from the basics to algebra, geometry, trigonometry, arithmetic, calculus, probability, and many more. Here, we have explained all these basic maths fundamentals in a simple and accurate manner to aid our students to enjoy learning mathematics. Making a good grip on Math basics, via understanding and practice will help you to develop your thinking power and it leads to run your brain in a logical way in all concepts. Thus results in solving all Math problems with great speed and efficiency.

### Maths – Class 6 to Class 10

- RS Aggarwal Solutions Class 10
- RS Aggarwal Solutions Class 9
- RS Aggarwal Solutions Class 8
- RS Aggarwal Solutions Class 7
- RS Aggarwal Solutions Class 6
- ML Aggarwal Class 10 Solutions for ICSE Maths
- ML Aggarwal Class 9 Solutions for ICSE Maths
- ML Aggarwal Class 8 Solutions for ICSE Maths
- ML Aggarwal Class 7 Solutions for ICSE Maths
- ML Aggarwal Class 6 Solutions for ICSE Maths
- Pre-Algebra
- Algebra 1
- Algebra 2
- Calculus
- Selina ICSE Solutions for Class 6 Maths
- Selina ICSE Solutions for Class 7 Maths
- Selina ICSE Solutions for Class 8 Maths
- Selina ICSE Solutions for Class 9 Maths
- ICSE Solutions for Class 10 Mathematics

### Pre-Algebra | Maths

#### Patterns

#### Big and Small Numbers

- What is the meaning of Place Value and Face Value in Maths?
- What is the Place Value Chart of an Indian and International System?
- What is a Decimal Value and Place Value of Decimals?
- How do you Round to the Nearest Ten Thousand
- What is the Definition of an Equivalent Decimal
- Converting To and From Scientific Notation
- What is the Difference between Ascending and Descending Order
- Addition and Subtraction of Decimals
- How do you Multiply and Divide Decimals?
- How do you Convert Fractions into Decimals and Vice Versa
- How do you Convert Unlike Decimals into Like Decimals

#### Handling Negative Numbers

Fundamental Operations on Integers

#### Doing Calculations

- Whole Numbers And Its Properties
- Hints for Remembering the Properties of Real Numbers
- What Are The Four Basic Operations In Mathematics
- Order of Operations and Evaluating Expressions
- Absolute Value
- Absolute Value Equations
- Absolute Value Inequalities
- Absolute Value of Complex Numbers

#### Using Inequalities (less than, greater than)

#### Using Exponents

#### Factors and Multiples

- Finding Factors and Multiples
- Common Factors
- How to Find The Prime Factors Using Factor Tree
- How To Find The HCF And LCM Using Prime Factorisation Method

#### Ratios and Proportions

#### Fractions and Percents

- What is Fraction and How many Types of Fractions are there
- Comparing and Ordering of Fractions
- Operations on Fractions
- What is an Equivalent Fraction
- Conversion of Fraction into Decimal
- Percents
- How do you Calculate Percentages?

#### Rational and Irrational Numbers

- What is a Rational Number?
- What Is Irrational Number
- Rational and Irrational Numbers
- Decimal Representation of Rational Numbers
- How to Convert Decimal Number into Rational Number?
- How do you Add and Subtract Rational Numbers?
- How do you Multiply and Divide Rational Numbers?

**How to Estimate Answers**

- Introduction to Estimation
- Estimation Tips and Tricks
- Visual Estimation
- Estimation Games

**Some Examples Using Pre-Algebra**

Here are some subjects of Mathswhere you can use your new skills:

- Celsius and Fahrenheit
- Interest

### Algebra 1 | Maths

#### The Basics

#### Exponents

#### Simplifying

- Adding Signed Numbers
- Multiplying Negatives
- Associative, Commutative and Distributive Laws
- Hints for Remembering the Properties of Real Numbers
- Proportions
- What is a Ratio and Proportion
- What is Fraction and How many Types of Fractions are there
- Comparing and Ordering of Fractions
- Operations on Fractions
- What is an Equivalent Fraction

#### Factoring

#### Logarithms

#### Polynomials

- What is a Polynomial?
- Types of Polynomials
- Monomials, Binomials, and Polynomials
- How do you determine the degree of a Polynomial?
- Zeros of a Polynomial Function
- Factors and Coefficients of a Polynomial
- Relationship Between Zeros and Coefficients of a Polynomial
- How to form a polynomial with the given zeroes
- Adding Polynomials
- Subtracting Polynomials
- Dividing Polynomials
- Multiplying Binomials
- Polynomial Long Multiplication

#### Linear Equations

- Equations of Straight Lines
- Point-Slope Equation of a Line
- Cartesian Coordinates
- What is the Cartesian Coordinate System
- Polar and Cartesian Coordinates

#### Quadratic Equations

- Quadratic Equations
- Nature of the Roots of a Quadratic Equation
- Solving Quadratic Equations with Complex Roots
- Factoring Quadratics
- Solving Quadratic Equations by Factoring
- Solving Factorable Quadratic Equations
- Completing the Square
- Solving Quadratic Equations by Completing the Square

#### Solving Word Questions

- Solving Word Questions
- Solving Inequality Word Questions

#### Functions

#### Sequences and Series

- Sequences and Series
- What is the pattern of numbers?
- Arithmetic Sequences and Series
- Geometric Sequences and Series
- What is Arithmetico–Geometric Sequence?
- Recursive Sequences

### Algebra 2 | Maths

**Sets**

**Numbers**

- The Evolution of Numbers
- Prime and Composite Numbers
- Fundamental Theorem of Arithmetic
- Whole Numbers and Integers
- Rational Numbers
- Irrational Numbers
- Rational Numbers and Irrational Numbers
- Real Numbers
- Imaginary Numbers
- Complex Numbers
- Adding and Subtracting Complex Numbers
- Multiplying and Dividing Complex Numbers
- Absolute Value of Complex Numbers
- The Complex Plane
- Common Number Sets

**Inequalities**

- Introduction to Inequalities
- Properties of Inequalities
- Solving Inequalities
- Absolute Value Inequalities
- Solving Rational Inequalities
- Solving Inequality Word Questions
- Intervals

**Exponents**

- Exponents
- Variables with Exponents
- Using Exponents in Algebra
- Squares and Square Roots
- Squares and Square Roots in Algebra
- nth Root
- Fractional Exponents
- Laws of Exponents
- Exponents of Negative Numbers

**Polynomials**

- What is a Polynomial?
- Types of Polynomials
- Monomials, Binomials, and Polynomials
- Adding Polynomials
- Subtracting Polynomials
- Dividing Polynomials
- Multiplying Binomials
- Polynomials – Long Division
- Degree (of an Expression)
- Special Binomial Products
- Multiplying Binomials
- Difference of Two Cubes
- Polynomial Remainder Theorem
- Factoring in Algebra
- Factorization of Polynomials Using Factor Theorem
- How do you use the factor theorem?
- How to factorise a polynomial by splitting the middle term?
- Review Factoring Polynomials
- Zeros of a Polynomial Function
- Factors and Coefficients of a Polynomial
- Roots of Polynomials: Sums and Products
- Rational Expressions
- Using Rational Expressions
- Review Factoring Polynomials
- Solving Polynomial Equations of Higher Degree
- Examining Graphs of Polynomial Equations of Higher Degree

**Graphing Polynomials**

- How Polynomials Behave
- Polynomials: The Rule of Signs
- Polynomials: Bounds on Zeros

**Equations**

- Equations and Formulas
- Solving Equations
- Simplify
- Solving Word Questions
- Zero Product Property
- Implication and Iff
- Theorems, Corollaries, Lemmas

**Graphs**

- Cartesian Coordinates
- Pythagoras’ Theorem
- Distance Between 2 Points
- Graph of an Equation
- Finding Intercepts From an Equation
- Symmetry in Equations

**Linear Equations**

- Equation of a Straight Line
- Linear Equations
- Point-Slope Equation of a Line
- Equation of a Line from 2 Points
- Midpoint of a Line Segment
- Parallel and Perpendicular Lines

**Functions**

- What is a Function?
- Domain, Range and Codomain
- Evaluating Functions
- Increasing and Decreasing Functions
- Maxima and Minima of Functions
- Even and Odd Functions
- Set-Builder Notation
- Common Functions Reference:
- Square Function
- Square Root Function
- Cube Function
- Reciprocal Function
- Absolute Value Function
- Floor and Ceiling Function

- Function Transformations
- Operations with Functions
- Composition of Functions
- Finding Domains of Composite Functions
- Inverse Functions

**Equations of Second Degree**

- Quadratic Equations
- Factoring Quadratics
- Solving A Quadratic Equation By Factoring
- Completing the Square
- Solving a Quadratic Equation by Completing the Square
- Derivation of Quadratic Formula
- Graphing Quadratic Equations
- A Summary of the Methods of Solving Quadratic Equations
- Quadratic Equations in the Real World
- Circle Equations

**Solving**

- Mathematical Models and Mathematical Models 2
- Approximate Solutions
- Intermediate Value Theorem
- Solving Radical Equations
- Change of Variables
- Algebra Mistakes

**Solving Inequalities**

- Solving Inequalities
- Graphing Linear Inequalities
- Inequality Grapher
- Solving Quadratic Inequalities
- Solving Rational Inequalities
- Absolute Value in Algebra
- Absolute Value Equations

**Exponents and Logarithms**

- Introduction to Logarithms
- Exponents, Roots and Logarithms
- Working with Exponents and Logarithms
- Logarithmic Equations
- Exponential Function
- Logarithmic Function
- Exponential Growth and Decay

**Systems of Linear Equations**

- Systems of Linear Equations
- Solving Systems Of Equations By Elimination Method
- Solving Systems Of Equations By Substitution Method
- Cross Multiplication Method For Solving Equations
- Graphical Method Of Solving Linear Equations In Two Variables
- Matrices
- Special Types of Matrices
- Scalar, Vector, Matrix and Vectors
- Dot Product
- Cross Product
- How to Multiply Matrices
- Determinant of a Matrix
- Inverse of a Matrix:
- Using Elementary Row Operations (Gauss-Jordan)
- Using Minors, Cofactors and Adjugate

- Solving Systems of Linear Equations Using Matrices
- Solving Linear Quadratic Systems Algebraically
- Solving Linear Systems Algebraically Using Substitution
- Solving a Linear Quadratic System Graphically
- Solving Linear Systems Graphically

**Probability**

- Probability
- Probability – Types of Events
- The Basic Counting Principle
- Probability and Permutations
- Combinations and Permutations

**Sequences, Series and Partial Sums**

**Finally**

These last few subjects use what you have learned above.

- Partial Fractions
- Mathematical Induction
- Pascal’s Triangle
- Binomial Theorem
- Binomial Theorem for any Index

### Calculus | Maths

**Limits**

- Introduction to Limits
- Limits and Infinity
- Evaluating Limits
- Limits (Formal Definition)
- Continuous Functions

**Derivatives (Differential Calculus)**

- Introduction to Derivatives
- Slope of a Function at a Point (Interactive)
- Derivatives as dy/dx
- Derivative Plotter (Interactive)
- Derivative Rules
- Power Rule
- Second Derivative
- Partial Derivatives
- Differentiable
- Finding Maxima and Minima using Derivatives
- Concave Upwards and Downwards and Inflection Points
- Implicit Differentiation
- Taylor Series (uses derivatives)

**Integration (Integral Calculus)**

- Introduction to Integration
- Integration Rules
- Integration by Parts
- Integration by Substitution
- Definite Integrals
- Arc Length
- Integral Approximations
- Solids of Revolution by Disks and Washers

**Differential Equations**

- Introduction to Differential Equations
- Separation of Variables
- Solution of First Order Linear Differential Equations
- Homogeneous Differential Equations

With Aplustopper provided Math Calculation tricks & resources, students can learn Mathematics in an easy manner. Here we are providing learning tutorials & study materials for all basic maths concepts including solved examples and exercise problems for helping students to understand each and every topic with full clarity. Aplustopper’s main aim is to help children in understanding math is fun, rather than being afraid of it. If they are good at math fundamentals and understand every concept deeply, then they will be excited about the subject for the rest of their educational journey.

### Frequently Asked Questions

1. **Who is the father of mathematics?**

**Archimedes** – The Father Of Mathematics. The father of Archimedes is Astronomer. When he was growing up, the family of Archimedes encouraged him to get an education. Archimedes was passionate in mathematics, science, poetry, politics, and military tactics.

2. **What is basic maths?**

Basic math is nothing but a simple or basic concept related to mathematics. Usually, counting, addition, subtraction, multiplication, and division are known as basic math operations. The other mathematical concepts are developed on top of the above 4 operations.

3. **Which is better basic maths or standard maths?**

Standard Maths is nothing but the concepts which students will learn in higher classes, whereas the concepts which are fundamental like adding, subtraction, etc. considered as Basic Mathematics. Therefore, the level of difficulty of the Standard Maths is higher than the Basic Maths. At last, in my view, the conclusion that I can give is “Basic Maths is better than Standard Maths”.

4. **What are the Basic Concepts of Mathematics?**

The major concepts involved in pure maths are as follows:

- Number system,
- Pre-algebra,
- Algebra,
- Commercial Arithmetic,
- Geometry,
- Trigonometry,
- Arithmetic,
- Statistics,
- Calculus,
- Probability and many more

5. **How can I become really perfect at Maths?**

Anyone can become really good at math. All you need is practice and understanding power while solving math problems. If you follow these 8 tips then no one can stop you to succeed in solving math sums. So, check out the following points and focus on your weak points more while practicing:

- Do all of the homework. Don’t ever think of homework as a choice.
- Fight not to miss class.
- Find a friend to be your study partner.
- Establish a good relationship with the teacher.
- Analyze and understand every mistake.
- Get help fast.
- Don’t swallow your questions.
- Basic skills are essential.
- Algebra I must be mastered.
- Understand what the calculator is doing.

6. **What are the different maths resources available at APlusTopper.com?**

APLUSTOPPER offers students reliable math resources as well as theoretical explanations. A few primary resources that every student may require while learning Maths are listed here and available at APlus Topper for free:

- CBSE NCERT Solutions for Maths
- RS Aggarwal and RD Sharma Solutions for Class 1 to Class 12 Mathematics
- CBSE Maths Previous Question papers for all Classes
- Important Questions for Board exams
- Sample Papers for Board Exams
- Syllabus and Exam blueprints
- Unitwise Lessons in PDF format
- Maths worksheets
- Revision notes