List of Maths formulas
Maths formulas and Maths formulas sheets are the most usefully content for all most every student. We have created a detailed Maths sheet of all important formulas used while solving Maths problems. Our academic team consist of more than six thousand maths teachers who are involved in Home tuitions across the county having experience in teaching students of different boards like CBSE, ICSE, state board and different competitive entrance exams like JEE, NTSE, SSC, and UPSC. Such experienced teachers understand the role and use of Maths formulas and knowhow to prepare the Maths formulas sheet. Based on our teacher's vast experience we have selected the most used Maths formulas and prepared a list of Maths formulas to help students in final revisions.
Most Important Maths formulas class wise List
Key features of Maths formulas
We have prepared one sheet for each Maths formula having the following key features
 All maths formulas are convers in the following sheet starting from class 1 Maths formulas to graduation level Maths formulas.
 For each math formula, we have prepared a different sheet and page to give you all details required.
 Each Maths formulas sheet not only covers the formula details but also added all the details required to understand the application of the formulas in the numerical.
 All formulas are explained with the help of solved examples so that students can not only learn the important formulas but also understand the application of formulas through the use of solved examples
 Few Maths formulas required a bit more explanation, for such formulas we have added proper theory and images to explain such concepts.
10 Most Important Maths formulas class wise
List of Important Maths formulas for class 1
Class 1 is the start of your academics and students learn mainly numbers in this class so the use of maths formulas is limited still few of the maths formulas use in this class are.
1. Counting tricks and Formula for Class 1 Maths
1 ONE 
11 ELEVEN 
21 TWENTY ONE 
31 THIRTY ONE 
41 FORTY ONE 
51 FIFTY ONE 
61 
71 SEVENTY ONE 
81 EIGHTY ONE 
91 
2 
12 
22 
32 
42 
52 
62 
72 
82 
92 
3 
13 
23 
33 
43 
53 
63 
73 
83 
93 
4 
14 
24 
34 
44 
54 
64 
74 
84 
94 
5 
15 
25 
35 
45 
55 
65 
75 
85 
95 
6 
16 
26 
36 
46 
56 
66 
76 
86 
96 
7 
17 
27 
37 
47 
57 
67 
77 
87 
97 
8 
18 
28 
38 
48 
58 
68 
78 
88 
98 
9 
19 
29 
39 
49 
59 
69 
79 
89 
99 
10 
20 
30 
40 
50 
60 
70 
80 
90 
100 
2. Additive identity formula for class 1
If we add or subtract zero from any number we will get the same number.
a + 0 = a ; 0 + a = a
a + 0 = a  0 + a = a  
2 + 0 = 2, 

3 + 0 = 3, 0 + 3 = 3

If we subtract zero from any number we will not get the same number.
2 – 0 = 2, 0 – 2 = 2
3 – 0 = 3, 0 – 3 = 3
0 – a is not equal to a – 0
3. Similar shape used in class 1 Maths
Two shapes are called similar shapes if they have looks the same but size may be different.
5. a + b = b + a is always true.
a – b ≠ b – a is true if a and b are different.
a – b = b – a is true if a and b are the same.
List of Important Maths formulas for class 2
1. Sequence formulas and trick
The sequence is a collection of objects. Which follows a pattern
2. Week
There are seven days a week
Monday  1^{st} day(let) 
Tuesday  2^{nd} day 
Wednesday  3^{rd} day 
Thursday  4^{th} day 
Friday  5^{th} day 
Saturday  6^{th} day 
Sunday  7^{th} day 
Yesterday → 1 day before
Tomorrow → 1 day after.
DAYS OF THE WEEK
Yesterday and Tomorrow
Yesterday  Today  Tomorrow 
SUNDAY  MONDAY  TUESDAY 
MONDAY  TUESDAY  WEDNESDAY 
TUESDAY  WEDNESDAY  THURSDAY 
WEDNESDAY  THURSDAY  FRIDAY 
THURSDAY  FRIDAY  SATURDAY 
FRIDAY  SATURDAY  SUNDAY 
SATURDAY  SUNDAY  MONDAY 
YEAR – In a year, there are 12 months and 365 or 366 days.
January – 31 days. February – 28/29 days. December – 31 days. 4 months have 30 days. 7 months have 31 days. February is the shortest month
3. Knuckles Method and formula used in it
List of Important Maths formulas for class 3
1. Even Number formulas: All numbers that end with 0, 2, 4, 6 or 8 are called even numbers.
Even number example for apples:
If we add or subtract zero from any number we will get the same number.
a + 0 = a ; 0 + a = a
Numbers of Apples  Count 
0  
2  
4  
6  
8 
2. Odd Numbers formulas
All numbers that end with 1, 3, 5, 7 or 9 are called odd numbers.
Odd number example for mangoes:
Numbers of Mangoes  Count 
1  
3  
5  
7  
9 
3. Shapes :
Shape  Name of Shape  
→  Triangle  
→  Rectangle(Opposite side equal)  
→  Square(all sides equal)  
→  Circle 
Q.1. How many CHIPS have a triangle shape?
Ans. 6 chips are having a triangle shape.
Q.2. How many T.V have rectangle shapes?
Ans. There is 5 TV having rectangle shapes.
Q.3. How many biscuits have a square shape?
Ans. 4 biscuits are having a square shape.
Q.4. How many coins have a circular shape?
Ans. 7 coins are having circular shapes.
4. Measurement of length
For lengths: we use, Kilometres, Meters, Centimetres, and MultiMetre.
1 Km = 1000 m
1 m = 100 cm
1 cm = 10 mm
Measuring Length
5. Measurement of weight
For weight: we use, kilogram (kg), Gram(gm), Multigram (m)
1 Kg = 100 gm
weighting 1kg of potato
1 gm = 1000 mg Paperclip weighing 1 gram
6. General measurement
1 litre = 1000 ml
7.1 Rupee = 100 paisa
= 100 times of
8. Face Value formula and application
The face value of any digit is the numerical value of the digit itself.
Place value and Face value in an Abacus
9. Place value
Place value is the value represented by a digit in the number on the bonds of its position.
Place value of digit formula= (face value) × (numerical value of place)
Face value = 6
26749
Place Value = 6 x 1000 = 6000
Difference between place value and face value
10. Table:
x  1  2  3  4  5  6  7  8  9  10  11  12  13  14  15 
2  2  4  6  8  10  12  14  16  18  20  22  24  26  28  30 
3  3  6  9  12  15  18  21  24  27  30  33  36  39  42  45 
4  4  8  12  16  20  24  28  32  36  40  44  48  52  56  60 
5  5  10  15  20  25  30  35  40  45  50  55  60  65  70  75 
6  6  12  18  24  30  36  42  48  54  60  66  72  78  84  90 
7  7  14  21  28  35  42  49  56  63  70  77  84  91  98  105 
8  8  16  24  32  40  48  56  64  72  80  88  96  104  112  120 
9  9  18  27  36  45  54  63  72  81  90  99  108  117  126  135 
10  10  20  30  40  50  60  70  80  90  100  110  120  130  140  150 
9 Times Table
9 x 1 = 09  ↓09↑  0 + 9 = 9  09 
9 x 2 = 18  ↓18↑  1 + 8 = 9  18 
9 x 3 = 27  ↓27↑  2 + 7 = 9  27 
9 x 4 = 36  ↓36↑  3 + 6 = 9  36 
9 x 5 = 45  ↓45↑  4 + 5 = 9  45 
9 x 6 = 54  ↓54↑  5 + 4 = 9  54 
9 x 7 = 63  ↓63↑  6 + 3 = 9  63 
9 x 8 = 72  ↓72↑  7 + 2 = 9  72 
9 x 9 = 81  ↓81↑  8 + 1 = 9  81 
9 x 10 = 90  ↓90↑  9 + 0 = 9  90 
8 Times Table
8 x 1 = 08  ↓08↑ 
8 x 2 = 16  ↓16↑ 
8 x 3 = 24  ↓24↑ 
8 x 4 = 32  ↓32↑ 
8 x 5 = 40  ↓40↑ 
8 x 6 = 48  ↓48↑ 
8 x 7 = 56  ↓56↑ 
8 x 8 = 64  ↓64↑ 
8 x 9 = 72  ↓72↑ 
8 x 10 = 80  ↓80↑ 
7 Times Table
07  14  21  28  35 
42  49  56  63  70 
7 x 1 = 07 
7 x 2 = 14 
7 x 3 = 21 
7 x 4 = 28 
7 x 5 = 35 
7 x 6 = 42 
7 x 7 = 49 
7 x 8 = 56 
7 x 9 = 63 
7 x 10 = 70 
6 Times Table
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
6 x 7 = 42
6 x 8 = 48
6 x 9 = 54
6 x 10 = 60
5 Times Table
05  10  15  20  25 
30  35  40  45  50 
5 x 1 = 05 
5 x 2 = 10 
5 x 3 = 15 
5 x 4 = 20 
5 x 5 = 25 
5 x 6 = 30 
5 x 7 = 35 
5 x 8 = 40 
5 x 9 = 45 
5 x 10 = 50 
4 Times Table
4 x 1 = 04 
4 x 2 = 08 
4 x 3 = 12 
4 x 4 = 16 
4 x 5 = 20 
4 x 6 = 24 
4 x 7 = 28 
4 x 8 = 32 
4 x 9 = 36 
4 x 10 = 40 
3 Times Table
03  06  09  12  15 
18  21  24  27  30 
3 x 1 = 03 
3 x 2 = 06 
3 x 3 = 09 
3 x 4 = 12 
3 x 5 = 15 
3 x 6 = 18 
3 x 7 = 21 
3 x 8 = 24 
3 x 9 = 27 
3 x 10 = 30 
2 Times Table
02  04  06  08  10 
12  14  16  18  20 
2 x 1 = 02 
2 x 2 = 04 
2 x 3 = 06 
2 x 4 = 08 
2 x 5 = 10 
2 x 6 = 12 
2 x 7 = 14 
2 x 8 = 16 
2 x 9 = 18 
2 x 10 = 20 
List of Important Maths formulas for class 4
1. Multiplication and Division (Formula and tricks)
(a) a × b = b × a
Multiplication  Division 

a x b = b x a  a ÷ b ≠ b ÷ a 
5 x 4 = 4 x 5  5 ÷ 6 ≠ 6 ÷ 5 
(b) a × 0 = 0 × a = 0
0 × 1 = 0
0 × 4 = 0
0 × 7 = 0
0 × 9 = 0
0 × 13 = 0
0 × 18 = 0
(c) a × 1 = 1 × a = a
Identity property of multiplication
A number × 1 = the number
1 × a number = the number
0 × 3 = 3
0 × 6 = 6
0 × 8 = 9
0 × 17 = 17
0 × 74 = 74
0 × 99 = 99
2. Division
3.
0 ÷ a = 0 , a ÷ 0 ≠ 0
a ÷ 1 = 0
a ÷ b ≠ b ÷ a
4. Factor
Factors – Factors are numbers that are multiplied together to get the given number.
5. Prime Number
Prime numbers are numbers that are not divisible by any number other than 1 and the number itself
6. Composite Number
These numbers have more than two factor
Examples of Composite Numbers
4,6,8,9,10,12,14,15
Special Note:
Every Whole Number from 2 on is
either composite or prime.
Whole Numbers and Natural Numbers
Divisibility Rule and formula
 A number is divisible by 2 if the digits at the unit place are 0, 2, 4, 6 or 8.
 A number is divisible by 3 if the sum of its digits is divisible by 3.
 A number is divisible by 5 if the digit at one place is 0 or 5
 A number is divisible by 6 if it is divisible by 2 and 3 both.
 A number is divisible by 10 if the digit at one place is 0.
8. Diameter of circle formula = 2 × radii of the circle.
9. Perimeter of square formula = 4 × (length of a side)
Perimeter of rectangle formula = 2 × (length + breadth)
Perimeter of rectangle P = a + b + a + b Example:If a = 3 units and b = 5 units,then 
The perimeter of the triangle = the sum of the length of the sides
P = a + b + c
Perimeter of triangle
10. Area of rectangle formula = length × breadth
Area of Rectangle
Area of square = side × side
List of Important Maths formulas for class 5
1. Volume of Cuboid formula
The volume of cuboid = length × breadth × height
2. Volume of the cube formula
The volume of the cube = side × side × side.
The volume of the cube formula
the volume of a cube with side length s
V = s x s x s = s^{3}
3. Speed
Speed = distance travelled in 1 hours/min/sec.
4. Regular polygon –
Any polygon which has all sides equal is called a Regular polygon. Eg. Square, pentagon, hexagon.
5. Right angle and formula of right angle
when the angle is 90^{°}
6. Acute angle formula
when the angle is 90^{°}
7. Obtuse angle formula
when the angle is 90^{°}
8. Sum and difference of two odd numbers are even.
9. Sum and difference of two even numbers are even.
ODD  ODD  SUM  is the SUM Even or ODD ? 

5  9  14  Even 
23  33  56  Even 
99  71  170  Even 
107  45  152  Even 
621  239  860  Even 
10. If one angle of a triangle is 90° then the triangle is called a rightangled triangle
List of Important Maths formulas for class 6
 Natural Number  All positive integers are called natural numbers.
 Whole Number
Natural numbers along with zero form the collection of whole numbers.  Every prime number except 2 is odd and 2 is the smallest prime number which is even.
 A number is divisible by.
 4 if the number formed by its last two digits is divisible by 4.
 8 if the number formed by the last three digits is divisible by 8
 a9 if the sum of digits of numbers is divisible by 9.
 11 if the difference between the sum of digits at odd places and the sum of digits at even places (from right) of the numbers is either 0 or multiple of 11.
 Equilateral Triangle: A triangle in which all sides are equal
 Rhombus: A quadrilateral in which all sides are equal and opposite sides are parallel.

 a + b = b + a
 (a + b) + c = a + (b +c)

 a × b = b × a
 a × (b + c) = a × b + a × c
 Isosceles Triangle: A triangle in which two sides are equal
 Scalene Triangle: A triangle in which all three sides are of different lengths, and all three angles are of different measures.
List of Important Maths formulas for class 7
Mean
The mean is the average of the norm.
Add up all the values to find the total.
Divide the total by the number of values you added together.
2 + 2 + 5 + 6 + 7 + 8 = 30
30 ÷ 6 = 5
The mean number is 5.???????
???????
Median
Order the set of numbers, the median is the middle number
9 , 3 , 1 , 8 , 3 , 6
1 , 3 , 3 , 6 , 8 , 9
(3 + 6) ÷ 2
The median is 4.5.???????
Mode
The most common number
9 , 3 , 1 , 8 , 3 , 6
The mode is 3.
Range
The difference between the highest and lowest number
9 , 3 , 1 , 8 , 3 , 6
9  1 = 8.
The Renge is 8.
The angle sum property of a triangle states that the angles of a triangle always add up to 180°
∠A + ∠B + ∠C = 180°
∠D + ∠E + ∠F = 180°
∠P + ∠Q + ∠R = 180°
Triangle Inequality Theorem The sum of lengths of any two sides of a triangle is greater than the third side. a + b > c a + c > b b + c > a They have to be able to reach!! Note that there is only one situation in which you can have a triangle; when the sum of two sides of the triangle is greater than the third. Where, P is Principal
List of Important Maths formulas for class 8
List of Important Maths formulas for class 9
List of Important Maths formulas for class 10
List of Important Maths formulas for class 11

Frequently Asked Questions on Maths formulas
. What are the basic Maths formulas?
The basic Maths formulas are used in all most all classes while solving any numerical or maths questions you need to understand the application of basics maths formulas generally these formulas are from a few chapters and used in all most all chapters not only in maths but also in other subjects on which basics maths is required, few chapters having basics maths formulas use are basics of algebra, mensuration, tribometer arithmetic operations, basics Geometry in higher Maths you must learn calculus formulas. A few basics Maths formulas used in every chapter are.
(a+b)2 = a2 + b2 + 2ab
(ab)2 = a2 + b2  2ab
(a+b)(ab) = a2b2
(x + a)(x + b) = x2 + (a + b)x + ab
(x + a)(xb) = x2 + (ab)xab
(a + b)3 = a3 + b3 + 3ab
(a + b) (ab)3 = a3b33ab(ab)
(xa)(x + b) = x2 + (ba)xab.
. What is the basic formula of maths?
Basic formulas of Maths include all the formulas which are being used in calculation of all most chapters of maths like algebra, integers and use of bodamas. We have added all basics maths formulas in this page. Check out the above sheet it includes basic maths formulas class wise.
. What are the 10 formulas?
There is no specific top 10 formulas used in Maths, but a few formulas are used frequently while solving the questions in every class generally, such formulas are form Algebra And Quadratic Equation Formulas. Based on which class you are in maths formulas are selected, we have carefully selected the top 10 Maths formulas classwise for your better learning just check it out the above page and find your class and learn top 10 maths formulas accordingly.
. What is famous math formula?
There are lots of Maths formulas which are used frequently while solving maths questions, just like physics Albert Einstein E=mc2 there is no such maths formulas is famous but still if anyone you wants to ask maths formulas all most all people ask what is (a+b)2. We use this formula so frequently that we can say this is most famous Maths formulas.
. How to get all formulas for Maths?
To simplify your search on Maths formulas we have created this page. This page consists of all most all Maths formulas lists and details. Check out the list given above and download your maths formulas.
. How to use Maths formulas?
The best way to use Maths formulas starts with understanding the concepts used in the chapters. Always start with understanding the syllabus of Maths and then select one chapter read the theory given in the chapter, and make sure you are preparing the proper notes and writing all the formulas used in the chapters. Once you understood the chapter start solving the numerical. Solving numerical is the best way to have a solid foundation in Maths subjects. Once you are in the stage of solving questions of maths you will find it fun and your speed of solving the numerical are depends on how fast you remember the basic maths formulas and their applications. Numerical solving skill enterally depends on your skill and concepts and its speed depends on how you have practised the Maths formulas. In short, students must remember that memorising only maths formulas won’t help you before start memorising the formulas you must have a very clear concept in the chapter.