Comprehensive List Of Basic Math Formulas

 Comprehensive List Of Basic Math Formulas

Math Homework Help

The basic math formulas are usually used in math and along with this, it is used not only in educational books but also in our daily routine.

Additionally, math can be quite too interesting for some, but also very difficult for some people. So, in this case, the math formula is very vital and helpful.

With the help of formulas, you can conveniently or ingeniously solve math questions. Moreover, the math formulas are also a brief method to convey the formation symbolically. 

There are different math formulas to solve different math problems. Math formulas can be complicated and you might seek online math homework help

Furthermore, if you are searching for the math formulas list, then don’t panic. In this guide, we will provide a list of math formulas in detail. So, let’s go ahead with the math formulas.

Significance of comprehending basic math formulas 

To solve the math question with the help of math formulas, you need to deem the importance of learning the formulas. Below are some of the main reasons for which we need to identify and deem math formulas. Let’s get started with the reasons. 

  1. Firstly, the basic math formulas enhance and improve your score in board exams and also in the entrance exams.
  2. Secondly, it helps all the students to conclude their math syllabus in an exceptional do-learn standard of study. 
  3. Lastly, with the help of formulas, all exam preparation is concluded on time.

Similarly, these are some reasons for learning math formulas. 

Elaborating Basic Math Formulas list  

Math formulas exhibit how math questions can be solved with the help of equations. In the given below list, the math formulas are presented. 

Fractions Formulas:

The first and most important math formula is fractions. It is ordinarily utilized to display a section of a whole. 

  • Adding formula: u/v + y/z = uz+vy/vz
  • Subtracting formula: u/v – y/z = uz-vy/vz 
  • Multiplying: (u/v) x (y/z) = uy/vz 
  • Dividing: u/v / y/z = (u/v) / (y/z) = (u/v) (z/y) = uz/vy  

The adding fraction is slightly different from the normal fraction. Now, let’s start the basic steps of adding fractions.

a). Adding fraction with the same number 

  1. First of all, ensure the bottom numbers like denominators are the same. 
  2. Then, add the top number (numerator) and place the answer over the common denominators. For instance, (2+1)/4= ¾.
  3. In the end, simplify the fraction. 


                              (2/6) + (2/6)

  1. First, the denominators (Bottom number) are already the same. Go ahead to the next step. 
  2. Add the top numbers (numerator) and place the sum over the same bottom number (denominator):

             (2/6) + (2/6) = 2+2/6 = 4/6 

  1. Simplify the fraction:

             4/6 = ⅔

b). Adding fraction with different number 


                (2/4) + (2/8) 

  1. Firstly, the given bottom numbers (denominators) are different, we ascertain the LCM of 4 and 8 to make them the same. The LCM of 4 and 8 is 8.
  2. Next, multiply 2/4 with 2/2, (2/4) x (2/2) = 4/8, and 2/8 with 1/1, (2/8) x (1/1) = 2/8. 
  3. Finally, the denominators(bottom number) of both the fractions are the same, so we exclusively add the top number (numerator) and write the total sum over the common denominator. So, 4/8 + 2/8 = (4+2) /8 = 6/8. 

Average Formula 

The average formula is also comprehended as the arithmetic mean. This formula is the ratio of the total given observations to the total number of observations.


                Average = (sum of observation) / (Total number of observation) 

Basic probability formula 

Probability can be basically described as the proportion of the number of favorable outcomes to the complete number of outcomes of an event. For instance, having ‘a’ number of outcomes, the number of favorable outcomes can be represented by ‘b’. The formulas are as follows:

Probability = Favorable outcomes(b) / Total outcomes(a) = b/a 

The Formula of probability:

                                        P(A) = (number of favorable outcomes to A) / (total no. of possible outcomes) \

Basic percent formula

The Percentage makes your calculation very easy and simple. As well, the percentage can be computed by dividing the value by the total value and then multiplying the outcome’s result by 100. 


              P = (Value/Total value) × 100 

Percent to a fraction is Y% = Y/100 

Areas basic math formulas

Generally, different area formulas are utilized to compute the area of distinct geometric figures. The geometric figure is a rectangle, triangle, circle, square, cone, sphere, rhombus. 

Square formula:

The square formula is computed by discovering the square of the length of square’s each side. 

Formula: Side x Side = side² (A= a²) 

Circle formula:

The formula of the area of the circle is:

A = πr² 

A = area of the circle 

R = radius of the circle 

Rectangle formula:

The area of a rectangle is computed by the breadth & length of a rectangle. 

A = l × b 

L = length of rectangle 

B = breadth of rectangle  

Rhombus formula:

Here’s are rhombus formula:

A = ½ × D × d 

D = big diagonal 

d = small diagonal 

Triangle formula:

The area of a triangle formula are as given:

A = ½ × b × h 

b = base of the rectangle 

h = height of the rectangle 

Area Cone formula:

The area of the cone formula are as presented below:

A = πr × s 

r = radius of the cone 

s = slant height of the cone 

Sphere formula:

The formula of the sphere is given below:

A = 4πr²

r = radius of the sphere 

Basic volumes formula 

 Here’s are some volume basic math formulas:


The formula of the cube is as presented below:

V = s³

s = all sides of the cube 


The cylinder formula is as given below:

V = πr² × h

r = radius of the cylinder 

h = height of the cylinder 


The formula of the cone is as:

V = ⅓b × h 

b = base of the cone

h = height of the cone 



V = l × h × w 

l = length 

h = height 

w = width 


Here’s are sphere formula:

V = 4/3πr³

r = radius of the sphere

Statistics formula

The statistics formulas usually help to collect and analyze the data and also represent the outcomes. The basic statistics formula is as presented below:


The mean is handy to compute: sum up all given terms, and then divide by how many terms there are. 


               m = sum of the terms/ number of terms 


First of all, you have to count how many numbers you have. Next, if you have an odd number like 1,3,5,7….., divide by 2 and round up to obtain the status of the median number. Moreover, if you have an even number like 2,4,6,8,… divide by 2. 


If n is odd, then: 

                        M = (n + 1 / 2) 

If n is even, then: 

                        M = [(n/2)th term + {(n/2)+1}/2] 

n = total nu. Of observation  


The mode formulas are as given below. 

M = L + h (fm-f1) (fm-f1) – (fm-f2)

L = lower limit of modal class

h = size of the class interval 

fm = frequency of modal class 

f1 = frequency of the class preceding the model class

f2 = frequency of the class succeeding the modal class 

Quadratic formula 

As well, the quadratic formula helps us solve any quadratic equation(xa²+ya+z = 0). 


               x = -b ± √b²-4ac/2a 

Thus, these are some basic math formulas. To resolve the math question, you can also try these formulas. 


In the end, from my point, the math formulas usually help to calculate the math question. By using this formula, you can effortlessly solve any math equation. As well, it is a rule or fact that is written with all mathematical symbols. Basically, math formulas join two or more quantities with an equal symbol. When one knows the value of one quantity one can also find the value of the other using the formula respectively. 

On the other hand, the math formulas ordinarily help school and college students to solve various math questions with more accuracy and efficiency.

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