Maths Guide: Concepts, Formulas, Videos and Solved Examples

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

Pre-Algebra | Maths


Big and Small Numbers

Handling Negative Numbers

Fundamental Operations on Integers

Doing Calculations

Using Inequalities (less than, greater than)

Using Exponents

Factors and Multiples

Ratios and Proportions

Fractions and Percents

Rational and Irrational 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:

Algebra 1 | Maths

The Basics






Linear Equations

Quadratic Equations

Solving Word Questions

  • Solving Word Questions
  • Solving Inequality Word Questions


Sequences and Series

Algebra 2 | Maths






Graphing Polynomials

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


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


Linear Equations


Equations of Second Degree


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

Solving Inequalities

Exponents and Logarithms

Systems of Linear Equations


Sequences, Series and Partial Sums

These last few subjects use what you have learned above.

Calculus | Maths


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)

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 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


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