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Ans. Basic math formulas are simple rules or equations that help solve math problems quickly and correctly.
Q.2. Why should students learn math formulas?
Ans. Learning basic formulas of maths can help students save time, avoid mistakes, and understand new math topics easily.
Q.3. What is the formula for the area of a rectangle?
Ans. The area of a rectangle is found by multiplying its length by its breadth. The formula one can use is: Area = length × breadth.
What is the 5th law of exponents?
The 5th Law of Exponents states that when a polynomial with a power 'a' is raised to a power 'b', then the final power of the exponents is the value of the product of the exponents, i.e., a * b. This video states the 5th Law of Exponents and shows how to solve problems relating to it.
Q.4. How can students remember mathematics formulas better?
Ans. To remember math formulas easily, students should practice regularly, write down the formulas, and apply them while solving different problems. This helps in better understanding and remembering them for a long time.
Basic Math Formulas Chart for Quick Study
Explore a basic math formulas chart covering all important mathematics formulas from trigonometry, arithmetic, geometry, and 3D shapes, perfect for students looking to strengthen their maths basics.
Jasdeep Singh27 May, 2025
Basic Math Formulas Chart: Mathematics becomes easier when students remember the right formulas. A simple basic math formulas chart can greatly help in quick revision and better understanding. For students of class 6 and onwards, knowing all formulas of maths saves time during exams and improves problem-solving.
Whether it's arithmetic, geometry, or algebra, basic formulas of maths are useful for solving various types of questions. Therefore, for the convenience of students, this article includes a list of the most important basic math formulas that students can keep in mind for fast calculations and practice.
Math is made up of different topics such as arithmetic, algebra, and geometry. Each topic has its own formulas that help students solve problems quickly. These maths basic formulas act like tools—just like we use a scale or a pencil in school, we use formulas to solve an array of mathematical questions.
Whether it’s a simple question from Class 6 or a tricky one from Class 8, knowing mathematics formulas can make solving much easier. That’s why having a basic math formulas chart is important. It saves time, helps in revision, and builds confidence while solving questions in exams.
There are many basic formulas of maths that students will need to use while solving questions in topics like algebra, geometry, and arithmetic, as these formulas make it easier to find answers without long calculations.
By learning and remembering the basic formulas of maths, students can quickly solve problems during practice or in exams. Find a simple basic math formulas chart in this article that covers the most used formulas in school-level mathematics.
BODMAS Mathematics Formula
BODMAS is a rule that helps students solve math problems in the correct order. It tells about which part of a maths question to solve first. BODMAS stands for:
It is important for students to remember the ways to solve from left to right after brackets and orders. For example, let's solve 6 + (3 × 2)² ÷ 3 using the BODMAS mathematics formula.
Algebra is a branch of mathematics that uses letters and symbols to represent numbers and quantities in equations and formulas. These letters (like x, y, or a, b, c) are called variables. Algebra helps students solve questions easily, especially when the exact numbers are not given.
Learning the basic algebra formulas is very important for students, as these are used in many topics like simplification, solving equations, and factorization. Once students understand these basic math formulas for algebra, they can solve questions faster and with more confidence.
Basic Math Formulas Chart for Algebra
S.No.
Formula
1
a² - b² = (a - b)(a + b)
2
(a + b)² = a² + 2ab + b²
3
a² + b² = (a + b)² - 2ab
4
(a - b)² = a² - 2ab + b²
5
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
6
(a - b - c)² = a² + b² + c² - 2ab + 2bc - 2ca
7
(a + b)³ = a³ + 3a²b + 3ab² + b³ ; (a + b)³ = a³ + b³ + 3ab(a + b)
8
(a - b)³ = a³ - 3a²b + 3ab² - b³ = a³ - b³ - 3ab(a - b)
9
a³ - b³ = (a - b)(a² + ab + b²)
10
a³ + b³ = (a + b)(a² - ab + b²)
11
(a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴
12
(a - b)⁴ = a⁴ - 4a³b + 6a²b² - 4ab³ + b⁴
13
a⁴ - b⁴ = (a - b)(a + b)(a² + b²)
14
a⁵ - b⁵ = (a - b)(a⁴ + a³b + a²b² + ab³ + b⁴)
15
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
16
(a + b + c + ...)² = a² + b² + c² + ⋯ + 2(ab + ac + bc + ⋯)
All Formulas of Maths from Class 6 to 12 at One Place
All formulas of maths are very useful when it comes to solving questions quickly in exams. From Class 6 to 12, every topic like algebra, geometry, and trigonometry has a set of formulas that makes calculation easy. That's why a complete list of all formulas of maths from class 6 to 12 is provided below for the ease of students.
In class 6th students first start learning more about numbers, shapes, and equations. This class builds the base for future Maths topics. Students get to know about big numbers like a billion, simple shapes like triangles and rectangles, and how to check if a number is divisible by 2 or 3. They also learn what a polygon is, what variables mean, and how to find the perimeter and area of basic shapes.
To help in remembering these important concepts, here is a list of maths basic formulas for class 6. These formulas will make solving questions much easier and quicker during exams and homework.
Number System and Divisibility Rules
1,000,000,000 = One Billion
Anything ÷ 0 = Undefined (You cannot divide by 0).
Divisibility by 2: If a number ends in 0, 2, 4, 6, or 8
Divisibility by 3: If the sum of digits is a multiple of 3
In Class 7, students learn new and slightly advanced maths topics. These topics include rational numbers, geometry, exponents, and percentages. Students also learn how to find the area and perimeter of shapes like squares, rectangles, circles, and parallelograms. Along with this, they study basic math formulas for simple interest and profit and loss. Find the list of important maths formulas for class 7 that are useful for solving different types of questions quickly and correctly.
Product of Rational Numbers = (Product of Numerators) / (Product of Denominators)
Multiplying Rational Numbers = First Rational Number × (Reciprocal of other Rational Number)
Area of a Square = Side²
Perimeter of a Square = 4 × Side
Area of a Rectangle = Length × Breadth
Perimeter of a Rectangle = 2 × (Length + Breadth)
Area of a Parallelogram = Base × Height
Area of a Triangle = 1/2 × Base × Height
Circumference of a Circle = πd, where ‘d’ is the diameter of a circle and π = 22/7 or 3.14
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Area of a Circle = πr²
Expansion Formulas:
(a - b)² = a² - 2ab + b²
(a - b - c)² = a² + b² + c² - 2ab + 2bc - 2ac
Proportion: If their two ratios are equivalent for any four quantities, those quantities are said to be proportionate.
Percentage Formulas:
Increase in Percentage = (Change / Original Amount) × 100
Mathematics of Class 8 includes many important concepts that help students understand advanced topics in a simple way. From rational numbers to geometry and algebra to data handling, students learn how to solve different types of problems.
To make problem-solving easier, students must remember all basic math formulas for Class 8, which cover rational numbers, probability, algebraic identities, compound interest, geometry, and more. They help in solving questions during class tests and exams quickly.
Additive inverse of rational number: a/b = -b/a
Multiplicative Inverse of a/b = c/d , if a/b × c/d = 1
Distributives a(b – c) = ab – ac
Volume of a Cone = (1 / 3 )πr2h
Volume of a Sphere = (4/3) π r3
Probability of the occurrence of an event = Number of outcomes that comprise an event/ Total number of outcomes
Compound Interest formula = Amount – Principal, Amount in case the interest is calculated annually = Principal ( 1 + Rate/100)n, where ‘n’ is the period.
(a – b)2 = a2 – 2ab + b2
(a + b) (a – b) = a2 – b2
Euler’s Formula: For any polyhedron, Number of faces + Number of vertices – Number of edges = 2.
The basic math formulas chart is a helpful tool for students to quickly review important formulas from different parts of mathematics. It includes key formulas from trigonometry, the Pythagorean theorem, arithmetic operations, and formulas related to various 3D shapes like cubes, cones, cylinders, and spheres.
This chart makes it easier for students to remember and apply formulas during exams and practice sessions, helping them improve their problem-solving skills and score better in math.
Why is it Important to Learn Basic Formulas of Maths?
Learning basic math formulas is very helpful for solving numerical questions easier and faster. When students know important formulas, they can save time, avoid mistakes, and understand new topics better. This helps them feel confident and do well in exams. Here are some simple reasons why learning basic math formulas is important:
Solve Problems Quickly: Formulas help students finish questions faster.
Avoid Mistakes: Remembering formulas reduces errors in calculations.
Understand New Topics: Basic formulas are the building blocks for harder math.
Boost Confidence: Knowing formulas helps students feel ready and score better.
To build a strong foundation in math and improve mental calculation skills, students can join CuriousJr Mental Math Online Learning Classes. These classes are designed to make math fun and easy, helping children learn important formulas and solve problems confidently.
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