12th Maths Formulas List

❴SHARE THIS PDF❵ FacebookX (Twitter)Whatsapp

12th Maths Formulas List

If you are looking for the Class 12th Maths Formulas List, then you at the right place. In 12th grade mathematics, understanding and applying formulas is crucial for success. These formulas serve as powerful tools to solve complex problems and gain insights into various mathematical concepts. By mastering these 12th-grade math formulas, students can enhance their problem-solving skills.

Algebraic formulas, such as the quadratic formula, help find solutions to quadratic equations. Arithmetic and geometric progression formulas enable the computation of sums and terms in these sequences. Trigonometric identities, like the Pythagorean identities, establish relationships between trigonometric functions. Calculus formulas, including derivative and integration rules, are indispensable for analyzing rates of change and calculating areas. Probability and statistics formulas facilitate the interpretation of data and aid in making informed decisions.

Class 12th Maths Formulas Download

Here we have given the list of some formulas for 12th class Math.


Square Square A=l2 l : length of side
Rectangle Rectangle A=w×h w : width
h : height
Triangle Triangle A=b×h2 b : base
h : height
Rhombus Rhombus A=D×d2 D : large diagonal
d : small diagonal
Trapezoid Trapezoid A=B+b2×h B : large side
b : small side
h: height
Regular polygon Regular polygon A=P2×a P : perimeter
a : apothem
Circle Circle A=πr2
r : radius
P : perimeter
(lateral surface)
cone A=πr×s r : radius
s : slant height
(surface area)
sphere A=4πr2 r: radius


Cube Cube V=s3V=s3 ss: side
Parallelepiped Parallelepiped V=l×w×hV=l×w×h ll: length
ww: width
hh: height
Regular prism Prism V=b×hV=b×h bb: base
hh: height
Cylinder Cylinder V=πr2×hV=πr2×h rr: radius
hh: height
Cone (or pyramid) Cone V=13b×hV=13b×h bb: base
hh: height
Sphere Sphere V=43πr3V=43πr3 rr: radius

 Functions and Equations for 12th Maths

Directly Proportional      y=kxy=kx                k=yxk=yx kk: Constant of Proportionality
Inversely Proportional      y=kxy=kx                k=yxk=yx
ax2+bx+c=0ax2+bx+c=0 Quadratic formula x=b±b24ac−−−−−−−√2ax=-b±b2-4ac2a
Concavity Concave up: a>0a>0
Concave down: a<0a<0
Discriminant Δ=b24acΔ=b2-4ac
Vertex of the parabola V(b2a,Δ4a)V(-b2a,-Δ4a)
y=a(xh)2+ky=a(x-h)2+k Concavity Concave up: a>0a>0
Concave down: a<0a<0
Vertex of the parabola V(h,k)V(h,k)
Zero-product property A×B=0A=0B=0A×B=0⇔A=0∨B=0 ex : (x+2)×(x1)=0(x+2)×(x-1)=0⇔
Difference of two squares (ab)(a+b)=a2b2(a-b)(a+b)=a2-b2 ex : (x2)(x+2)=x222=x24(x-2)(x+2)=x2-22=x2-4
Perfect square trinomial (a+b)2=a2+2ab+b2(a+b)2=a2+2ab+b2 ex : (2x+3)2=(2x)2+22x3+32=(2x+3)2=(2x)2+2⋅2x⋅3+32=
Binomial theorem (x+y)n=k=0nnCkxnkyk

 Probability and Sets for 12th Maths Formulas

Commutative AB=BAA∪B=B∪A AB=BAA∩B=B∩A
Associative A(BC)=A(BC)A∪(B∪C)=A∪(B∪C) A(BC)=A(BC)A∩(B∩C)=A∩(B∩C)
Neutral element A=AA∪∅=A AE=AA∩E=A
Absorbing element AE=EA∪E=E A=A∩∅=∅
Distributive A(BC)=(AB)(AC)A∪(B∩C)=(A∪B)∩(A∪C) A(BC)=(AB)(AC)A∩(B∪C)=(A∩B)∪(A∩C)
De Morgan’s laws AB¯¯¯¯¯¯¯¯¯=A¯¯¯B¯¯¯A∩B¯=A¯∪B¯ AB¯¯¯¯¯¯¯¯¯=A¯¯¯B¯¯¯A∪B¯=A¯∩B¯
Laplace laws P(A)=Number of ways it can happenTotal number of outcomesP(A)=Number of ways it can happenTotal number of outcomes
Complement of an Event P(A¯¯¯)=1P(A)P(A¯)=1-P(A)
Union of Events P(AB)=P(A)+P(B)P(AB)P(A∪B)=P(A)+P(B)-P(A∩B)
Conditional Probability P(AB)=P(AB)P(B)P(A∣B)=P(A∩B)P(B)
Independent Events P(AB)=P(A)P(A∣B)=P(A) P(AB)=P(A)×P(B)P(A∩B)=P(A)×P(B)
Permutation Pn=n!=n×(n1)××2×1Pn=n!=n×(n-1)×…×2×1 ex : P4=4!=4×3×2×1=24P4=4!=4×3×2×1=24
Permutations without repetition nAp=n!(np)!nAp=n!(n-p)! ex : 6A2=6!(62)!=306A2=6!(6-2)!=30
Permutations with repetition nAp=npnAp′=np ex : 5A3=53=1255A3′=53=125
Combination nCp=nApp!=n!(np)!×p!nCp=nApp!=n!(n-p)!×p! ex : 5C4=5A44!=55C4=5A44!=5
Average value μ=x1p1+x2p2++xkpkμ=x1p1+x2p2+…+xkpk
Standard deviation σ=i=1kpi(xiμ)2−−−−−−−−−−−−⎷σ=∑i=1kpi(xi-μ)2
Binomial distribution P(X=k)=nCk.pk.(1p)nkP(X=k)=nCk.pk.(1-p)n-k ex : B(10;0,6)B(10;0,6)

You can download the 12th Maths Formulas List PDF using the link given below.

12th Maths Formulas List PDF Free Download

REPORT THISIf the purchase / download link of 12th Maths Formulas List PDF is not working or you feel any other problem with it, please REPORT IT by selecting the appropriate action such as copyright material / promotion content / link is broken etc. If this is a copyright material we will not be providing its PDF or any source for downloading at any cost.