Class 6 Maths Formulas

Class 6 maths formulas play an important role in solving questions easily. Getting all the formulas at one place for a quick reference along with some practical tips is really helpful. Apart from this, if the concepts are clear, then these formulas can be easily memorized with the help of the relevant figures and graphs, which makes the task easier. This article gives a compiled list of all class 6 math formulas covering the following topics starting from the number system, fractions, decimals, ratio, proportion, algebra, geometry and mensuration.

Class 6 maths formulas play an important role in building up a clear understanding of numbers. Take the reference of the following example.

Can you guess how many tennis balls it will take to fill a football stadium?

If your answer is 10 then that's the number of balls it would take to fill a basket but not stadium.

If your answer is 1000 then they can fill a truck but less to fill a stadium.

If your answer is 1,000,000 then they can fill a swimming pool.

But if the answer is 1,000,000,000 then these many balls can fill a complete stadium. 

Class 6 maths formulas will help the students get a feel of these numbers. Also, class 6 mathematics introduces the students to the art of geometry. It is the power of geometry and arithmetic combined which solved many mysteries of mankind. But in order to learn this interesting mathematics, students often fear the class 6 maths formulas that come in the process. To overcome this hurdle, this article comes to the rescue, as students can find all the important class 6 math formulas at one place for their quick reference along with some practical tips to remember them.

List of Important Maths Formulas for Class 6

Here is a summarized list of a few important Math Formulas for Class 6.

• 1,000,000,000 is called one billion.
• Anything divided by zero is called ‘undefined’.
• A number is divisible by 2 if it has 0, 2, 4, 6 or 8 in ones place.
• A number is divisible by 3 if the sum of the digits is a multiple of 3.
• A simple closed figure formed by line segments is referred to as a polygon. Triangle is a three-sided polygon, quadrilaterals are four-sided polygons.
• An equation is a condition represented on a variable. An equation is composed of two sides, known as the Left Hand Side and Right Hand Side, separated by an equal (=) sign. 
• Perimeter of a Square = 4 × Length of its side
• Perimeter of a Rectangle = 2 × (Length + Breadth)
• Perimeter of an Equilateral triangle = 3 × Length of a side
• Area of a Rectangle = length × breadth

Knowing Our Numbers Class 6 Math Formulas

Learning about Class 6 Math formulas will help students in understanding the different types of numbers like natural numbers, their comparison, meaning of place value, estimating sum or difference, and their products. There are certain boundaries of mathematics which will get revealed as well like division of any number by zero is undefined. They will get introduced to the Roman numbers that were used in the past.

Here is a list of some of the important divisibility rules or formulas that will help the students in solving the problems quickly:

• If a given number has 0 in the ones place then it will be divisible by 10.
• A number is divisible by 5 if it has either 0 or 5 in ones place.
• A number is divisible by 2 if it has 0, 2, 4, 6 or 8 in ones place.
• A number is divisible by 3 if the sum of the digits is a multiple of 3.
• In case a number is divisible by 2 and 3 both, then it is divisible by 6 too.
• For numbers with 3 or more digits, divisibility by 4 is confirmed if the number formed by its last two digits is divisible by 4, or the last two digits are 0.
• For numbers with 4 or more digits, divisibility by 8 is confirmed if the number formed by the last three digits is also divisible by 8 or the last three digits are 0.
• Divisibility by 9 can be checked by seeing if the sum of the digits of a number is divisible by 9.
• To confirm the divisibility of a number by 11, find the difference between the sum of the digits at odd places (starting from the right) and the sum of the digits at even places (starting from the right) of the number. If the difference comes as 0 or it is divisible by 11, then the number is said to be divisible by 11.

Geometry Class 6 Math Formulas

Geometry class 6 math formulas introduce the students to the interesting concept of geometry revolving around shapes that they observe daily. 

Here is a list of some of the important concepts and formulas that will help students figure out the topic of geometry: 

• A simple closed figure formed by line segments is referred to as a polygon.
• Triangle is a three-sided polygon and quadrilaterals are four-sided polygons.
• The pathway of a point travelling at the same distance from a fixed point is called a circle.The centre is the fixed point, the radius is the fixed distance from the centre, and the circumference is the total distance of the path around the circle.
• A circle's chord is a line segment that connects any two points on the circle.
• Triangles can be classified based on the angles their sides make with each other. If one angle of a triangle is 90 degrees then it is a right-angled triangle. 
• Cubes, spheres, cuboids, cylinders, prisms, cones, and pyramids are the three dimensional shapes that we observe around us.

Integer, Fraction and Decimal Formulas for Class 6 Maths

Integers are numbers that can be written without a fractional part. For example, -3, -2, -1 , 0, 1, 2, 3 are integers. Fractions represent a numerical value of a part of a whole, and it consists of a numerator and a denominator. For example, ⅔, 6/7, and so on. Decimal is a number in which the whole number part and the fractional part is separated by a dot called the decimal point. For example, 3.45, 7.12, and so on.

Let us learn about class 6 maths formulas for integers, fractions and decimals. 

• Addition of two positive integers gives a positive integer, for example, (+ 5) + ( + 2) = + 7
• Addition of two negative integers gives a negative integer, for example, (–5) + ( – 1) = – 6
• For adding one positive and one negative integer, subtract them as whole numbers without taking their signs into account, and then keep the sign of the larger number in the result of subtraction.
• If the numerator is less than the denominator then it is a proper fraction.
• If the numerator is greater than the denominator then it is an improper fraction.
• Any decimal number can be represented on a number line.

Mensuration Formulas for Class 6 Maths

Mensuration Formulas for Class 6 are used to calculate the dimensions of closed figures like the length, breadth, area and perimeter. The area of a closed figure refers to the amount of surface it covers. The perimeter is the distance covered along the boundary of the closed figure.

• Perimeter of a Square = 4 × Length of its side
• Perimeter of a Rectangle = 2 × (Length + Breadth)
• Perimeter of an Equilateral triangle = 3 × Length of a side
• Area of a Square = side × side
• Area of a Rectangle = length × breadth

Ratio and Proportion Formulas for Class 6 Maths

We often use the approach of taking out the difference between quantities when comparing quantities of the same type. In many cases, division is used to make a more meaningful comparison of amounts.

Comparison by ratio is the name given to this procedure. Some important pointers regarding ratio and proportion class 6 math formulas are given below that will help students understand this concept better:

• To proceed with comparison by ratio the two quantities in question must be in the same unit.
• Two ratios said to be equivalent, if the given fractions corresponding to them are also equivalent.
• Four quantities are called proportionate, if the ratio of the first and the second quantity is equal to the ratio of the third and the fourth quantity. 

Algebra Formulas for Class 6 Maths

Algebra formulas for class 6 maths will introduce students to the concept of variables and constants and how any problem in mathematics can be solved by creating algebraic expressions out of them.

• Variable refers to a value that is not fixed. It can take different values.
• The value of the variable in an equation which holds true for the equation is known as the solution to that equation.
• An equation is a condition represented on a variable.
• An equation is composed of two sides, known as the Left Hand Side and Right Hand Side, separated by an equal (=) sign. 

Applications of Class 6 Maths Formulas

Class 6 math formulas help students explore the numbers a bit further. They also get introduced to the subject of geometry. The concept of integers, decimals, fractions, quadrilaterals, algebra have their respective applications as given below:

• We usually come across negative numbers on a number line or when we talk about the dipping temperature. The concept of negative numbers helps in calculation of temperatures, water and oil levels in lakes and seas. 
• Decimals also have their widespread usage in our lives. For example, they help represent units of money, weight and length. 
• Algebra gives us the power to find the unknown, with the help of equations that can be formed using variables and constants. One just needs to be sure to balance out its right hand side and left hand sides to reach the answer. All the formulas in mathematics are derived using the entities of algebra be it geometry or mensuration.

Tips to Memorize Class 6 Maths Formulas

We have seen how class 6 math formulas have their relevance in our day-to-day lives justifying their importance. To make the learning of formulas easy the students can find some of the strategies below that will undoubtedly assist them in learning the fundamentals of class 6 maths more effectively.

• The students must ensure to clear up their smallest doubts, if any, from their teachers and friends. They must not shy away from the doubts that they have as this will lead to more confusion in understanding complex topics in future. Clearing the doubts at the first moment helps in understanding the underlying logic of the formula which makes them easy to remember.
• The students must try to practice as many problems as possible based on the formulas. This helps them get acquainted with the different cases where a single formula can be used in different ways, thus, enabling them to recall them as and when required easily.
• In this era of technology students use gadgets be it in the form of mobile or laptop hence, they must save these formulas in the form of wallpapers. Whenever they will use their gadget they will tend to look at the formula wallpaper that will result in a quick revision.

Class 6 Maths Formulas Examples

Example 1: What is the perimeter of a square which has one side as 6 units?

Solution : Given, side length = 6 units; Perimeter = ?

We will use the formula, Perimeter of a square = 4 × Length of its side

Perimeter = 4 × 6 = 24 units.

Example 2: The area of a rectangular piece of chart paper is 28 square cm and its length is 4 cm. What is the breadth of the chart paper?

Solution: Given,Area of the rectangle = 28 square cm 

Length = 4 cm 

Breadth = ? 

Area of a Rectangle = Length × Breadth

So, Breadth = Area / Length = 28 / 4 = 7 

Thus, the breadth of the rectangular chart paper is 7 cm

Students can download the printable Maths Formulas Class 6 sheet from below.