Math Formulas

Maths is an abstract subject that needs a firm grasp of different Maths formulas. In-depth knowledge of Maths formulas prepares the students of Cass 6 to Class 12 to solve complex maths problems. Often students find it challenging to remember formulas and apply them in the right way. They only need to learn some tricks to memorize the formulas throughout their academic sessions.

List of Maths Formulas

  1. Algebra Formula
  2. Algebraic Expressions Formula
  3. Angle Formula
  4. Area Formula of Quadrilaterals
  5. Area Formula
  6. Area of a Pentagon Formula
  7. Area of an Octagon Formula
  8. Area Under the Curve Formula
  9. Arithmetic Sequence Explicit Formula
  10. Arithmetic Sequence Recursive Formula
  11. Binary Formula
  12. Calculus Formula
  13. Change of Base Formula
  14. Cofactor Formula
  15. Complex Number Division Formula
  16. Complex Number Power Formula
  17. Conditional Probability Formula
  18. Cos Inverse Formula
  19. Cosine Formula
  20. Cube Formula
  21. Cubic Equation Formula
  22. Daily Compound Interest Formula
  23. Decay Formula
  24. Decimal to Fraction Formula
  25. Derivative Formula
  26. Diagonal Formula
  27. Equation Formula
  28. Exponential Formula
  29. Factorial Formula
  30. Function Formulas
  31. Geometric Distribution Formula
  32. Graphs of Trigonometric Formula
  33. HYPERBOLA FORMULA
  34. Integral Formula
  35. Lateral Area Formula
  36. Limit Formula
  37. LCM Formula
  38. Newton’s Method Formula
  39. Parabola Formula
  40. Parallelogram Formula
  41. Percentile Formula
  42. Perimeter Formulas
  43. Probability Distribution Formulas
  44. Proportion Formula
  45. Pythagorean Triples Formulas
  46. Radius Formula
  47. Ratio Formula
  48. Rhombus Formula
  49. Sequence Formula
  50. Sin Tan Formula
  51. Sin Cos Formula
  52. Surface Areas Formula
  53. Statistics Formulas
  54. Tangent Formula
  55. Tan Theta Formula
  56. Volume Charge Density Formula
  57. The volume of a Cone Formula
  58. The volume of a Cylinder Formula
  59. The volume of a Rectangular Prism Formula
  60. The volume of a Square Pyramid Formula
  61. The volume of A Triangular Prism Formula
  62. 30-60-90 Formulas
  63. Vertex Formula
  64. X and Y Intercept Formula
  65. Z Score Formula

BODMAS Formula

B = Bracket 

O = Of

D = Division

M = Multiplication 

A = Addition

S = Subtraction 

Basic Algebra Formulas

  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 +⋯
  17. (x+ y+ z)2=x2+y2+z2+2xy+2yz+2xz
  18. (x +y−z)2=x2+y2+z2+2xy−2yz−2xz
  19. (x− y+ z)2=x2+y2+z2−2xy−2yz+2xz
  20. (x−y−z)2=x2+y2+z2−2xy+2yz−2xz
  21. x3+y3+z3−3xyz=(x+ y+ z)(x2+y2+z2−xy−yz−xz)
  22. x2+y2=1/2[(x+ y)2+(x−y)2]
  23. (x +a)(x +b)(x +c)=x3+(a +b+ c)x2+(ab +bc+ ca)x+ abc
  24. x3+y3=(x+ y)(x2−xy+y2)
  25. x3−y3=(x−y)(x2+xy+y2)
  26. x2+y2+z2−xy−yz−zx=1/2[(x−y)2+(y−z)2+(z−x)2]

All Math Formulas from Class 6 to Class 12

A detailed understanding of the Maths formulas makes the students of any standard perform better in examinations, whether it is class tests, final exams or board exams. Most of the chapters in the Maths syllabus are interrelated with each other. Therefore, if one understands the formulas of one chapter, the further chapters become simpler to them. Some of the interlinked chapters are percentage and profit-loss, percentages and fractions, real numbers and complex numbers, etc.

Students need to invest enough time and effort to analyse and understand the formulas methodically. The lists of Maths formulas are available for every chapter allocated in the latest syllabus of respective standards. 

Class 6 Maths formulas

  1. 1,000,000,000 is called one billion.
  2. Anything divided by zero is called ‘undefined’.
  3. A number is divisible by 2 if it has 0, 2, 4, 6 or 8 in one place.
  4. A number is divisible by 3 if the sum of the digits is a multiple of 3.
  5. A simple closed figure formed by line segments is a polygon. Triangle is a three-sided Polygon. Quadrilaterals are four-sided polygons.
  6. 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. 
  7. The perimeter of a Square = 4 × Length of its side
  8. Perimeter of a Rectangle = 2 × (Length + Breadth)
  9. The perimeter of an Equilateral triangle = 3 × Length of a side
  10. Area of a Rectangle = length × breadth
  11. Variable refers to a value that is not fixed. It can take different values.
  12. An equation is a condition represented on a variable.
  13. An equation is composed of two sides, known as the Left-Hand Side and Right Hand Side, separated by an equal (=) sign.

Class 7 Maths formulas

  1. Product of rational numbers = (Product of Numerators) / (Product of Denominators)
  2. First Rational Number × (Reciprocal of other Rational Number)
  3. Area of a Square = Side2
  4. Perimeter of a Square = 4 × Side
  5. Area of Rectangle = Length × Breadth
  6. Perimeter of a Rectangle = 2 × (Length + Breadth)
  7. Area of a Parallelogram = Base × Height
  8. Area of Triangle = 1/ 2 × Base × Height
  9. Circumference of a Circle = π d, where ‘d’ is the diameter of a circle and π = 22/7 or 3.14
  10. Area of a Circle = πr2
  11. Law of Product: am × an = am+n
  12. Law of Quotient: am/an = am-n
  13. Law of Zero Exponent: a0 = 1
  14. Law of Negative Exponent: a-m = 1/am
  15. Law of Power of a Power: (am)n = amn
  16. Law of Power of a Product: (ab)m = ambm
  17. Law of Power of a Quotient: (a/b)m = am/bm
  18. (a-b) 2 = a2 – 2ab + b2 
  19. (a-b-c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ac

If their two ratios are equivalent for any four quantities, those four quantities are said to be proportionate.

  • Increase in Percentage = (Change / Original Amount) × 100
  • Profit Percentage = (Profit / Cost price) × 100
  • Simple Interest = (Principal × Rate × Time) / 100
  • Amount = Principal + Interest

Class 8 Math formulas

  1. Additive inverse of rational number: a/b = -b/a
  2. Multiplicative Inverse of a/b = c/d , if a/b × c/d = 1
  3. Distributives a(b – c) = ab – ac
  4. Probability of the occurrence of an event = Number of outcomes that comprise an event/ Total number of outcomes
  5. Compound Interest formula = Amount – Principal, Amount in case the interest is calculated annually = Principal ( 1 + Rate/100)n, where ‘n’ is the period.
  6. (a – b)2 = a2 – 2ab + b2
  7. (a + b) (a – b) = a2 – b2  
  8. Euler’s Formula: For any polyhedron, Number of faces + Number of vertices – Number of edges = 2
  9. Volume of a Cone = (1 / 3 )πr2h
  10. Volume of a Sphere = (4/3) π r3

Class 9 Math formulas

1. Real Numbers 

  1. √ab = √a √b
  2. √(a/b) = √a / √b
  3. (√a + √b) (√a – √b) = a – b 
  4. (√a + √b)2 = a + 2√ab + b
  5. (a + √b) (a – √b) = a2 – b
  6. (a + b) (a – b) = a2 – b2

2. Geometry Formulas  – Geometry Shapes Formulas for Class 9

Shape Formula Type Formula
Triangle Area  

12×base×height\frac{1}{2} \times \text{base} \times \text{height}

Perimeter  

a+b+ca + b + c

(where

aa

,

bb

, and

cc

are the sides)
Heron’s Formula  

s(s−a)(s−b)(s−c)\sqrt{s(s-a)(s-b)(s-c)}

, where

s=a+b+c2s = \frac{a+b+c}{2}

Rectangle Area  

length×breadth\text{length} \times \text{breadth}

Perimeter  

2×(length+breadth)2 \times (\text{length} + \text{breadth})

Square Area  

side2\text{side}^2

Perimeter  

4×side4 \times \text{side}

Parallelogram Area  

base×height\text{base} \times \text{height}

Perimeter  

2×(base+side)2 \times (\text{base} + \text{side})

Rhombus Area  

12×diagonal1×diagonal2\frac{1}{2} \times \text{diagonal}_1 \times \text{diagonal}_2

Perimeter  

4×side4 \times \text{side}

Trapezium Area  

12×(sum of parallel sides)×height\frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}

Perimeter  

sum of all sides\text{sum of all sides}

Circle Area  

π×radius2\pi \times \text{radius}^2

Circumference  

2π×radius2 \pi \times \text{radius}

Cylinder Surface Area  

2π×radius×(height+radius)2 \pi \times \text{radius} \times (\text{height} + \text{radius})

Volume  

π×radius2×height\pi \times \text{radius}^2 \times \text{height}

Cone Surface Area  

π×radius×(radius+slant height)\pi \times \text{radius} \times (\text{radius} + \text{slant height})

Volume  

13π×radius2×height\frac{1}{3} \pi \times \text{radius}^2 \times \text{height}

Sphere Surface Area  

4π×radius24 \pi \times \text{radius}^2

Volume  

43π×radius3\frac{4}{3} \pi \times \text{radius}^3

3. Algebra Identities for Class 9

Identity Formula
Square of a Sum  

(a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2

Square of a Difference  

(a−b)2=a2−2ab+b2(a – b)^2 = a^2 – 2ab + b^2

Product of a Sum and a Difference  

(a+b)(a−b)=a2−b2(a + b)(a – b) = a^2 – b^2

Cube of a Sum  

(a+b)3=a3+b3+3ab(a+b)(a + b)^3 = a^3 + b^3 + 3ab(a + b)

Cube of a Difference  

(a−b)3=a3−b3−3ab(a−b)(a – b)^3 = a^3 – b^3 – 3ab(a – b)

Sum of Cubes  

a3+b3=(a+b)(a2−ab+b2)a^3 + b^3 = (a + b)(a^2 – ab + b^2)

Difference of Cubes  

a3−b3=(a−b)(a2+ab+b2)a^3 – b^3 = (a – b)(a^2 + ab + b^2)

Expansion of

(a+b+c)2(a + b + c)^2

 

(a+b+c)2=a2+b2+c2+2ab+2bc+2ca(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca

Expansion of

(a+b+c)3(a + b + c)^3

 

(a+b+c)3=a3+b3+c3+3(a+b)(b+c)(c+a)(a + b + c)^3 = a^3 + b^3 + c^3 + 3(a + b)(b + c)(c + a)

Square of a Binomial Sum  

(x+y+z)2=x2+y2+z2+2xy+2yz+2zx(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx

Sum of Squares of Three Terms  

x2+y2+z2=(x+y+z)2−2(xy+yz+zx)x^2 + y^2 + z^2 = (x + y + z)^2 – 2(xy + yz + zx)

Square of a Binomial Difference  

(x−y−z)2=x2+y2+z2−2xy+2yz−2zx(x – y – z)^2 = x^2 + y^2 + z^2 – 2xy + 2yz – 2zx

4. Surface Area and Volume Formulas for Class 9

Here is a table with the surface area and volume formulas for various 3D shapes typically covered in Class 9:

Shape Formula Type Formula
Cuboid Surface Area  

2(lb+bh+hl)2 (lb + bh + hl)

Volume  

l×b×hl \times b \times h

Cube Surface Area  

6a26a^2

Volume  

a3a^3

Cylinder Curved Surface Area  

2πrh2 \pi r h

Total Surface Area  

2πr(r+h)2 \pi r (r + h)

Volume  

πr2h\pi r^2 h

Cone Curved Surface Area  

πrl\pi r l

(where

ll

is the slant height)
Total Surface Area  

πr(r+l)\pi r (r + l)

Volume  

13πr2h\frac{1}{3} \pi r^2 h

Sphere Surface Area  

4πr24 \pi r^2

Volume  

43πr3\frac{4}{3} \pi r^3

Hemisphere Curved Surface Area  

2πr22 \pi r^2

Total Surface Area  

3πr23 \pi r^2

Volume  

23πr3\frac{2}{3} \pi r^3

Prism Surface Area  

Base Perimeter×h+2×Base Area\text{Base Perimeter} \times h + 2 \times \text{Base Area}

Volume  

Base Area×h\text{Base Area} \times h

Pyramid Surface Area  

Base Area+12×Base Perimeter×l\text{Base Area} + \frac{1}{2} \times \text{Base Perimeter} \times l

(where

ll

is the slant height)
Volume  

13×Base Area×h\frac{1}{3} \times \text{Base Area} \times h

These formulas are essential for solving various problems related to surface area and volume in Class 9.

5. Heron’s Formula

Here is a table of Heron’s Formula for calculating the area of a triangle, along with its components:

Formula Explanation
 

Area=s(s−a)(s−b)(s−c)\text{Area} = \sqrt{s(s-a)(s-b)(s-c)}

Heron’s Formula to calculate the area of a triangle
Components Explanation
 

a,b,ca, b, c

The lengths of the sides of the triangle
 

s=a+b+c2s = \frac{a + b + c}{2}

The semi-perimeter of the triangle

This table encapsulates the essentials of Heron’s Formula used in Class 9 to find the area of a triangle when the lengths of all three sides are known.

6. Polynomial Formula 

The general Polynomial Formula is,

F(x) = anxn + bxn-1 + an-2xn-2 + …….. + rx +s

7. Statistics (Measure of Central Tendency)

Here is a table summarizing the formulas for mean, median, and mode typically covered in Class 9:

Measure Formula
Mean  

Mean=Sum of all observationsTotal number of observations\text{Mean} = \frac{\text{Sum of all observations}}{\text{Total number of observations}}

Median For Odd Number of Observations:

(n+12)thobservation\left(\frac{n+1}{2}\right)^{th} \text{observation}

For Even Number of Observations:

(n2)thobservation+((n2)+1)thobservation2\frac{\left(\frac{n}{2}\right)^{th} \text{observation} + \left(\left(\frac{n}{2}\right) + 1\right)^{th} \text{observation}}{2}

Mode The value which occurs most frequently in the data

Maths Formulas For Class 10

1. Algebra Formulas For Class 10

  • (a+b)2 = a2 + b2 + 2ab
  • (a-b)2 = a2 + b2 – 2ab
  • (a+b) (a-b) = a2 – b2
  • (x + a)(x + b) = x2 + (a + b)x + ab
  • (x + a)(x – b) = x2 + (a – b)x – ab
  • (x – a)(x + b) = x2 + (b – a)x – ab
  • (x – a)(x – b) = x2 – (a + b)x + ab
  • (a + b)3 = a3 + b3 + 3ab(a + b)
  • (a – b)3 = a3 – b3 – 3ab(a – b)
  • (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
  • (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
  • (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
  • (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
  • x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
  • x2 + y2 =½ [(x + y)2 + (x – y)2]
  • (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc
  • x3 + y3= (x + y) (x2 – xy + y2)
  • x3 – y3 = (x – y) (x2 + xy + y2)
  • x2 + y2 + z2 -xy – yz – zx = ½ [(x-y)2 + (y-z)2 + (z-x)2]

2. Basic Formulas For Powers For Class 10

  • pm x pn = pm+n
  • {pm}⁄{pn} = pm-n
  • (pm)n = pmn
  • p-m = 1/pm
  • p1 = p
  • P0 = 1

3. Arithmetic Formulas For Class 10

  1. an = a + (n – 1) d, where an is the nth term.
  2. Sn= n/2 [2a + (n – 1)d]

4. Trigonometry Formulas For Class 10

  1. sin(90° – A) = cos A
  2. cos(90° – A) = sin A
  3. tan(90° – A) = cot A
  4. cot(90° – A) = tan A
  5. sec(90° – A) = cosec A
  6. cosec(90° – A) = sec A
  7. sin2 θ + cos2 θ = 1 ⇒ sin2 θ = 1 – cos2 θ ⇒ cos2 θ = 1 – sin2 θ
  8. cosec2 θ – cot2 θ = 1 ⇒ cosec2 θ = 1 + cot2 θ ⇒ cot2 θ = cosec2 θ – 1
  9. sec2 θ – tan2 θ = 1 ⇒ sec2 θ = 1 + tan2 θ ⇒ tan2 θ = sec2 θ – 1
  10. sin θ cosec θ = 1 ⇒ cos θ sec θ = 1 ⇒ tan θ cot θ = 1

Circle Formula

  1. The tangent to a circle equation x2 + y2 = a2 for a line y = mx + c is given by the equation y = mx ± a √ [1+ m2].
  2. The tangent to a circle equation x2 + y2 = a2 at (a1,b1) is xa1 + yb1 = a2

Area and Volume Formulas 

  1. Volume of Sphere = 4/3 ×π r3
  2. Lateral Surface Area of Sphere (LSA) = 4π r2
  3. Total Surface Area of Sphere (TSA) = 4πr2
  4. The volume of the Right Circular Cylinder = πr2h
  5. Lateral Surface Area of Right Circular Cylinder (LSA) = 2×(πrh)
  6. Total Surface Area of Right Circular Cylinder (TSA) = 2πr×(r + h)
  7. Volume of Hemisphere = ⅔ x (πr3)
  8. Lateral Surface Area of Hemisphere (LSA) = 2πr2
  9. Total Surface Area of Hemisphere (TSA) = 3πr2
  10. Volume of Prism = B × h
  11. Lateral Surface Area of Prism (LSA) = p × h

Class 11 Math formulas

Algebra Formulas

  1. a × (b + c) = a × b + a × c (Distributive property)
  2. a + b = b + a (Commutative Property of Addition)
  3. a × b = b × a (Commutative Property of Multiplication)
  4. a + (b + c) = (a + b) + c (Associative Property of Addition)
  5. a × (b × c) = (a × b) × c (Associative Property of Multiplication)
  6. a + 0 = a (Additive Identity Property)
  7. a × 1 = a(Multiplicative Identity Property)
  8. a + (-a) = 0 (Additive Inverse Property)
  9. a⋅(1/a) = 1 (Multiplicative Inverse Property)
  10. a × (0) =0 (Zero Property of Multiplication)

Trigonometry Formulas

  1. sin(90° – A) = cos A
  2. cos(90° – A) = sin A
  3. tan(90° – A) = cot A
  4. cot(90° – A) = tan A
  5. sec(90° – A) = cosec A
  6. cosec(90° – A) = sec A
  7. sin2 θ + cos2 θ = 1 ⇒ sin2 θ = 1 – cos2 θ ⇒ cos2 θ = 1 – sin2 θ
  8. cosec2 θ – cot2 θ = 1 ⇒ cosec2 θ = 1 + cot2 θ ⇒ cot2 θ = cosec2 θ – 1
  9. sec2 θ – tan2 θ = 1 ⇒ sec2 θ = 1 + tan2 θ ⇒ tan2 θ = sec2 θ – 1
  10. sin θ cosec θ = 1 ⇒ cos θ sec θ = 1 ⇒ tan θ cot θ = 1

Calculus Formulas

  1. d/dx [f(x) + g (x)] = d/dx [f(x)] + d/dx [g(x)]
  2. d/dx [f(x) – g (x)] = d/dx [f(x)] – d/dx [g(x)]
  3. d/dx [f(x) × g (x)] = d/dx [f(x)] × [g(x)] + [f(x)] × d/dx [g(x)]
  4. d/dx [f(x) / g (x)] = {d/dx [f(x)] × [g(x)] – [f(x)] × d/dx [g(x)]} / g(x)2

Geometry and Lines Formulas 

  1. Slope m = rise/run = Δy/Δx = y2−y1/x2−x1
  2. Point-Slope Form y−y1 = m (x−x1)

Class 12 Math Formulas

Vector Formulas

  1. A + B = B + A (Commutative Law)
  2. A + (B + C) = (A + B) + C (Associative Law)
  3. (A • B )= |P| |Q| cos θ ( Dot Product )
  4. (A × B )= |P| |Q| sin θ (Cross Product)
  5. k (A + B )= kA + kB
  6. A + 0 = 0 + A (Additive Identity)

Trigonometry Formulas

  1. sin-1(-x) = – sin-1x 
  2. tan-1x + cot-1x = π / 2
  3. sin-1x + cos-1 x = π / 2
  4. cos-1(-x) = π – cos-1x
  5. cot-1(-x) = π – cot-1x

Calculus Formulas

  1. ∫ f(x) dx = F(x) + C
  2. Power Rule: ∫ xn dx = (xn+1) / (n+1) + C. (Where n ≠ -1)
  3. Exponential Rules: ∫ ex dx = ex + C 
  4. ∫ ax dx = ax / ln(a) + C
  5. ∫ ln(x) dx = x ln(x) – x + C
  6. Constant Multiplication Rule: ∫ a dx = ax + C, where a is the constant. 
  7. Reciprocal Rule: ∫ (1/x) dx = ln(x)+ C 
  8. Sum Rules: ∫ [f(x) + g(x)] dx = ∫f(x) dx + ∫g(x) dx
  9. Difference Rules: ∫ [f(x) – g(x)] dx = ∫f(x) dx – ∫g(x) dx
  10. ∫k f(x) dx = k ∫f(x) dx, , where k is any real number.
  11. Integration by parts: ∫ f(x) g(x) dx = f(x) ∫ g(x) dx – ∫[d/dx f(x) × ∫ g(x) dx]dx
  12. ∫cos x dx = sin x + C
  13. ∫ sin x dx = -cos x + C
  14. ∫ sec2 x dx = tan x + C
  15. ∫ cosec2 x dx = -cot x + C
  16. ∫ sec x tan x dx = sec x + C
  17. ∫ cosec x cot x dx = – cosec x + C

Geometry Formulas 

  1. Cartesian equation of a plane: lx + my + nz = d 
  2. Distance between two points P(x1, y1, z1) and Q(x2, y2, z2): PQ = √ ((x1 – x2)2 + (y1 – y2)2 + (z1 – z2)2) 

Basic Maths Formulas –  All Math Formulas Chart


Math Formulas-1
Math Formulas-2
Math Formulas-3

Maths Formulas for Class 6 to 12 for CBSE (NCERT) Board

If a student is searching for exciting ways to understand Maths formulas easily, Extramarks is the right place. The academic experts’ maths formula list helps the students of classes 6 to 12 understand the basics. The mentors carefully design the most significant Maths formulas list based on the chapters allotted to the current year syllabus. The following section presents the most vital formulas the students must study. 

The Extramarks’ Advantage

Extramarks benefits the students of classes 6 to 12 by providing them with the basic maths formulas for free. The students can enjoy the following advantages with our assistance. 

  1. Make it easy to memorize the formulas. 
  2. Perform and score better in all examinations.
  3. Allocate extra time for board exams.
  4. Finish the Maths syllabus before time.
  5. Aware of the strengths and weaknesses.
  6. Prepare for the high-level entrance examinations.

Maths Formulas List
Absolute Value Formula Margin Of Error Formula
2cosa Cosb Formula Matrix Formula
30-60-90 Formulas Mean Absolute Deviation Formula
Algebraic Expressions Formula Mean Deviation Formula
Addition Formula Mean Value Theorem Formula
Algebra Formulas Mean Median Mode Formula
trigonometry formulas Midpoint Formula
Angle Formula Monthly Compound Interest Formula
Angle between Two Vectors Formula Multiple Angle Formulas
Anova Formula Natural Log Formula
Annulus Formula N Choose K Formula
Antiderivative Formula Newtons Method Formula
Arc Length Formula Normal Distribution Formula
Arccot Formula Octagon Formula
Arctan Formula Orthocenter Formula
Area Formulas Parallel Line Formula
Area Formula For Quadrilaterals Parabola Formula
Area Of A Circle Formula Parallelogram Formula
Area Of A Pentagon Formula Partial Differential Equations Formula
Area Of A Kite Formula Pearson Correlation Formula
Area Of A Sector Of A Circle Formula Percent Decrease Formula
Area Of A Rectangle Formula Percent Composition Formula
Area Of A Square Formula Percent Difference Formula
Area Of An Octagon Formula Percent Error Formula
Area Of Regular Polygon Formula Percentage Change Formula
Area Of A Trapezoid Formula Percentage Decrease Formula
Area Under The Curve Formula Percentage Formula
Arithmetic Mean Formula Percentage Increase Formula
Arithmetic Sequence Explicit Formula Percentile Formula
Arithmetic Sequence Formula Perfect Square Formula
Arithmetic Sequence Recursive Formula Perfect Square Trinomial Formula
Associative Property Formula Perimeter Formulas
Asymptote Formula Perimeter Of A Kite Formula
Average Deviation Formula Perimeter Of A Square Formula
Average Rate Of Change Formula Perimeter Of A Trapezoid Formula
Axis Of Symmetry Formula Perimeter Of Hexagon Formula
Bayes Theorem Formula Perimeter Of Rhombus Formula
Binary Formula Periodic Formulas
Binary To Decimal Formula Perimeter Of A Triangle Formula
Binomial Distribution Formula Permutation Formula
Binomial Expansion Formula Perpendicular Line Formula
Binomial Theorem Formula Pi Formulas
Calculus Formulas Platonic Solids Formula
Celsius Formula Point Gradient Formula
Central Angle Of A Circle Formula Point Slope Form Formula
Central Limit Theorem Formula Point Of Intersection Formula
Centroid Formula Poisson Distribution Formula
Centroid Of A Trapezoid Formula Polygon Formula
Chain Rule Formula Polynomial Formula
Change Of Base Formula Population Mean Formula
Chi Square Formula Prime Number Formula
Circle Graph Formula Prism Formula
Circle Formula Probability Distribution Formula
Circumference Formula Product Rule Formula
Coefficient Of Determination Formula Probability Formulas
Coefficient Of Variation Formula Probability Distribution Function Formula
Cofactor Formula Product To Sum Formula
Cofunction Formulas Profit Formula
Coin Toss Probability Formula Profit Margin Formula
Combination Formula Pyramid Formula
Commutative Property Formula Proportion Formula
Completing The Square Formula Pythagorean Theorem Formula
Complex Number Division Formula Pythagorean Triples Formula
Complex Number Formula Quadratic Function Formula
Complex Number Power Formula Quadratic Interpolation Formula
Compound Interest Formula Quartile Formula
Conditional Probability Formula Quadrilateral Formulas
Cone Formula Quotient Rule Formula
Confidence Interval Formula R Squared Formula
Consecutive Integers Formula Radians To Degrees Formula
Correlation Coefficient Formula Radical Formula
Cos Square Theta Formula Radius Formula
Cos Theta Formula Radius Of Curvature Formula
Cos Inverse Formula Rate Of Change Formula
Cosec Cot Formula Ratio Analysis Formula
Cos Double Angle Formula Ratio Formula
Cosecant Formula Rectangle Formula
Cosine Formula Rectangular Parallelepiped Formula
Cot Half Angle Formula Recursive Formula
Cot Tan Formula Reduction Formula
Cotangent Formula Regression Sum Of Squares Formula
Covariance Matrix Formula Regular Hexagon Formula
Covariance Formula Regular Square Pyramid Formula
CPK Formula Relative Frequency Formula
Cp Formula Regular Tetrahedron Formula
Cross Product Formula Relative Standard Deviation Formula
Cube Formula Resistors In Parallel Formula
Cubic Equation Formula Resultant Vector Formula
Cube Root Formula Revenue Formula
Curved Surface Area Cylinder Formula Rhombus Formula
Cyclic Quadrilateral Formula Riemann Sum Formula
Daily Compound Interest Formula Right Angle Formula
De Moivre Formula Root Mean Square Formula
Decay Formula Rotation Formula
Decimal To Binary Formula Sample Mean Formula
Decimal To Fraction Formula Sample Size Formula
Definite Integral Formula Sampling Error Formula
Degree And Radian Measure Formula Scientific Notation Formula
Degrees Of Freedom Formula Secant Square X Formula
Derivative Formula Scalene Triangle Formula
Determinant Formula Secant Formula
Diagonal Formula Selling Price Formula
Diagonal Of Parallelogram Formula Sequence and Series Formulas
Diagonal Of A Cube Formula Sequence Formula
Diagonal Of Polygon Formula Sets Formulas
Difference Of Cubes Formula Series Formula
Diagonal Of Square Formula Side Angle Side Formula
Diameter Formula Signal To Noise Ratio Formula
Difference Of Squares Formula Simple Interest Formula
Differential Equations formula Sin 30 Formula
Differentiation And Integration Formula Simpsons Rule Formula
Difference Quotient Formula Sin Squared X Formula
Direct Variation Formula Sin Cos Formulas
Direction Of A Vector Formula Sin Tan Formula
Discriminant Formula Sin Theta Formula
Discount Formula Sin To Cos Formula
Distributive Property Formula Sine Cosine Tangent Formula
Division Formula Sine Formula
Dot Product Formula Sin2x Formula
Double Angle Formulas Sine Rule Formula
Double Time Formula Sine Half Angle Formula
Effect Size Formula Skewness Formula
Ellipse Formula Slant Asymptote Formula
Empirical Probability Formula Slope Formula
Equation Of A Circle Formula Slope Intercept Form Formula
Equation Formula Slope of the Secant Line Formula
Equilateral Triangle Formula Z Transformation Formula
Equation Of A Line Formula Z Score Formula
Euler Maclaurin Formula Y Intercept Formula
Exponential Distribution Formula X Intercept Formula
Eulers Formula X And Y Intercept Formula
Exponential Equation Formula Weighted Mean Formula
Exponential Formula Weighted Average Formula
Exponential Function Formula Volume Of Parallelepiped Formula
Exponential Growth Formula Volume Of An Ellipsoid Formula
Exponents Formula Volume Of A Square Pyramid Formula
Factorial Formula Volume Of A Triangular Prism Formula
F Test Formula Volume Of A Sphere Formula
Factoring Formulas Volume Of A Rectangular Prism Formula
Factoring Trinomials Formula Volume Of A Cylinder Formula
Fahrenheit To Celsius Formula Volume Of A Pyramid Formula
Fibonacci Formula Volume Of A Cube Formula
Foil Formula Volume Of A Cone Formula
Fourier Series Formula Volume Formulas
Frequency Distribution Formula Volume Charge Density Formula
Frustum Of A Regular Pyramid Formula Vertex Formula
Frustum Of A Right Circular Cone Formula Vector Projection Formula
Function Formulas Vietas Formula
Function Notation Formula Vector Formulas
Gaussian Distribution Formula Variance Formula
Geometric Distribution Formula Unit Rate Formula
Geometric Mean Formula Unit Vector Formula
Geometric Series Formula Uniform Distribution Formula
Geometry Formulas Unit Circle Formula
Geometric Sequence Formula U Substitution Formula
Graph Formula Trigonometric Function Formulas
Graphs Of Trigonometric Functions Formula Triangular Pyramid Formula
Great Circle Formula Trapezoidal Rule Formula
Harmonic Mean Formula Triangle Formula
Half Life Formula Trapezoid Formula
Half Angle Formula Trajectory Formula
Height Of A Parallelogram Formula The Distance Formula
Hexagon Formula Temperature Conversion Formula
Hexagonal Pyramid Formula Taylor Series Formula
Hyperbola Formula Tangential Quadrilateral Formula
Hyperbolic Function Formula Tangent Line Formula
Hypergeometric Distribution Formula Tangent Addition Formula
Hypothesis Testing Formula Tangent 3 theta Formula
Implicit Differentiation Formula Tangent Circle Formula
Infinite Geometric Series Formula Tangent Formula
Infinite Series Formula Tan2x Formula
Integral Calculus Formula Tan Theta formula
Integral Formulas T Test Formula
Integration By Parts Formula T Distribution Formula
Integration By Substitution Formula Surface Area Of Rectangle Formula
Interest Formula Surface Area Of Circle Formula
Interpolation Formula Surface Area Of Hemisphere Formula
Interquartile Range Formula Surface Area Of A Square Pyramid Formula
Inverse Function Formula Surface Area Of A Triangular Prism Formula
Inverse Hyperbolic Functions Formula Surface Area Of A Rectangular Prism Formula
Inverse Tangent Formula Surface Area Of A Sphere Formula
Inverse Trigonometric Formulas Surface Area Of A Pyramid Formula
Inverse Variation Formula Surface Area Of A Cylinder Formula
Inverse Matrix Formula Surface Area Of A Prism Formula
Isosceles Trapezoid Formula Surface Area Of A Cone Formula
Isosceles Triangle Perimeter Formula Surface Area Of A Cube Formula
Lagrange Interpolation Formula Surface Area Formulas
Lateral Area Formula Summation Formula
Law Of Cosines Formula Sum Of Cubes Formula
Law Of Sine And Cosine Formula Sum Of Squares Formula
Law Of Tangent Formula Sum Of Arithmetic Sequence Formula
Law Of Sines Formula Subtraction Formulas
Lcm Formula Stirling Formula
Limit Formula Statistics Formulas
Line Of Best Fit Formula Statistical Significance Formula
Linear Approximation Formula Standard Form Formula
Linear Correlation Coefficient Formula Standard Error Formula
Linear Equations Formula Standard Deviation Formula
Linear Function Formula Square Root Formula
Linear Interpolation Formula Square Footage Formula
Linear Regression Formula Square Root Property Formula
Loan Balance Formula Spherical Wedge And Spherical Lune Formula
Logarithm Formula Spherical Segment Formula
Maclaurin Series Formula Spherical Sector Formula
Magnitude Of A Vector Formula Spherical Cap Volume Formulas

FAQs (Frequently Asked Questions)

1. Where do I get all basic Maths formulas for Class 6 to Class 12?

You will get all the basic Maths formulas for classes 6 to 12 in Extramarks.

2. How to memorise the Maths formulas?

The students can memorise the Maths formulas through regular practise and revision.