Maths Formulas for Class 12 PDF State Board

For some Maths can be fun and for some, it can be a nightmare. Maths Formulas are difficult to memorize and we have curated a list of Maths Formulas for Class 12 PDF State Board just for you. You can use this as a go-to sheet whenever you want to prepare Class 12 Maths Formulas. Students can get Formulas in Algebra, Calculus, and Geometry that can be useful in their preparation and help them do their homework.

Here in this article Maths Formulas for Class 12 PDF State Board, we have listed basic Maths formulas so that you can learn the fundamentals of Maths. Our unique way of solving Maths Problems will make you learn how the equation came into existence instead of memorizing it. Solve all the important problems and questions in Maths with the Best Maths Formulas for Class 12.

Maths Formulas for Class 12 PDF State Board

Feel free to directly use the best Maths formulas during your homework or exam preparation. You need to know the list of Class 12 formulas as they will not just be useful in your academic books but also in your day-to-day lives.

Remember the Maths Formulas smartly by making use of our list. You can practice Questions and Answers based on these Class 12 Maths Formulas. Students can get basic Maths formulas Free PDF Download for Class 12. Candidates can use the handy learning aid Maths Formulas PDF to have in-depth knowledge on the subject as per the latest CBSE Syllabus.

CBSE Class 12 Maths Formulas according to the Chapters are prepared by subject experts and you can rely on them during your preparation. Click on the topic you wish to prepare from the list of formulas prevailing.

Download the 12th Maths Formulas List Pdf State Board below:

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12th Maths Formulas List


SquareSquareA=l2l : length of side
RectangleRectangleA=w×hw : width
h : height
TriangleTriangleA=b×h2b : base
h : height
RhombusRhombusA=D×d2D : large diagonal
d : small diagonal
TrapezoidTrapezoidA=B+b2×hB : large side
b : small side
h: height
Regular polygonRegular polygonA=P2×aP : perimeter
a : apothem
r : radius
P : perimeter
(lateral surface)
coneA=πr×sr : radius
s : slant height
(surface area)
sphereA=4πr2r: radius


CubeCubeV=s3V=s3ss: side
ParallelepipedParallelepipedV=l×w×hV=l×w×hll: length
ww: width
hh: height
Regular prismPrismV=b×hV=b×hbb: base
hh: height
CylinderCylinderV=πr2×hV=πr2×hrr: radius
hh: height
Cone (or pyramid)ConeV=13b×hV=13b×hbb: base
hh: height
SphereSphereV=43πr3V=43πr3rr: radius

Functions and Equations

Directly Proportional     y=kxy=kx                k=yxk=yxkk: Constant of Proportionality
Inversely Proportional     y=kxy=kx                k=yxk=yx
ax2+bx+c=0ax2+bx+c=0Quadratic formulax=−b±b2−4ac−−−−−−−√2ax=-b±b2-4ac2a
ConcavityConcave up: a>0a>0
Concave down: a<0a<0
Vertex of the parabolaV(−b2a,−Δ4a)V(-b2a,-Δ4a)
y=a(x−h)2+ky=a(x-h)2+kConcavityConcave up: a>0a>0
Concave down: a<0a<0
Vertex of the parabolaV(h,k)V(h,k)
Zero-product propertyA×B=0⇔A=0∨B=0A×B=0⇔A=0∨B=0ex : (x+2)×(x−1)=0⇔(x+2)×(x-1)=0⇔
Difference of two squares(a−b)(a+b)=a2−b2(a-b)(a+b)=a2-b2ex : (x−2)(x+2)=x2−22=x2−4(x-2)(x+2)=x2-22=x2-4
Perfect square trinomial(a+b)2=a2+2ab+b2(a+b)2=a2+2ab+b2ex : (2x+3)2=(2x)2+2⋅2x⋅3+32=(2x+3)2=(2x)2+2⋅2x⋅3+32=
Binomial theorem(x+y)n=∑k=0nnCkxn−kyk

Probability and Sets

Neutral elementA∪∅=AA∪∅=AA∩E=AA∩E=A
Absorbing elementA∪E=EA∪E=EA∩∅=∅A∩∅=∅
De Morgan’s lawsA∩B¯¯¯¯¯¯¯¯¯=A¯¯¯∪B¯¯¯A∩B¯=A¯∪B¯A∪B¯¯¯¯¯¯¯¯¯=A¯¯¯∩B¯¯¯A∪B¯=A¯∩B¯
Laplace lawsP(A)=Number of ways it can happen Total number of outcomes P(A)=Number of ways it can happen Total number of outcomes
Complement of an EventP(A¯¯¯)=1−P(A)P(A¯)=1-P(A)
Union of EventsP(A∪B)=P(A)+P(B)−P(A∩B)P(A∪B)=P(A)+P(B)-P(A∩B)
Conditional ProbabilityP(A∣B)=P(A∩B)P(B)P(A∣B)=P(A∩B)P(B)
Independent EventsP(A∣B)=P(A)P(A∣B)=P(A)P(A∩B)=P(A)×P(B)P(A∩B)=P(A)×P(B)
PermutationPn=n!=n×(n−1)×…×2×1Pn=n!=n×(n-1)×…×2×1ex : P4=4!=4×3×2×1=24P4=4!=4×3×2×1=24
Permutations without repetitionnAp=n!(n−p)!nAp=n!(n-p)!ex : 6A2=6!(6−2)!=306A2=6!(6-2)!=30
Permutations with repetitionnA′p=npnAp′=npex : 5A′3=53=1255A3′=53=125
CombinationnCp=nApp!=n!(n−p)!×p!nCp=nApp!=n!(n-p)!×p!ex : 5C4=5A44!=55C4=5A44!=5
Average valueμ=x1p1+x2p2+…+xkpkμ=x1p1+x2p2+…+xkpk
Standard deviationσ=∑i=1kpi(xi−μ)2−−−−−−−−−−−−⎷σ=∑i=1kpi(xi-μ)2
Binomial distributionP(X=k)−p)n−kP(X=k) : B(10;0,6)B(10;0,6)

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2 thoughts on “Maths Formulas for Class 12 PDF State Board”

  1. This is a great post. I am a student of Class 12 and I am finding it difficult to remember all the formulas. This post has helped me a lot.


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