{"id":297310,"date":"2026-02-27T12:45:21","date_gmt":"2026-02-27T07:15:21","guid":{"rendered":"https:\/\/www.aakash.ac.in\/blog\/?p=297310"},"modified":"2026-03-02T11:10:17","modified_gmt":"2026-03-02T05:40:17","slug":"must-know-algebraic-numerical-formulas-for-cbse-class-12-maths","status":"publish","type":"post","link":"https:\/\/www.aakash.ac.in\/blog\/must-know-algebraic-numerical-formulas-for-cbse-class-12-maths\/","title":{"rendered":"Must-Know Algebraic & Numerical Formulas for CBSE Class 12 Maths"},"content":{"rendered":"

In the CBSE Class 12 Maths exam 2026, formulas honestly make a bigger difference than most students realise. But that does not mean that you just have to memorise them. You need to be so comfortable with them that the moment you read a question, you know exactly which formula to apply and how to start.<\/p>\n

At Aakash, our experts have been guiding thousands of students to not just clear the CBSE Class 12 Maths exam, but to actually ace it. So, here is a guide to help you with all the important algebraic and numerical formulas in one place.<\/p>\n

Weightage in CBSE Class 12 Maths Exam 2026<\/span><\/h2>\n

Before you jump into formulas, first analyse and understand where the marks are actually coming from.<\/span><\/p>\n

The paper is 80 marks in total. And roughly, this is how it\u2019s divided:<\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n
Unit No.<\/span><\/td>\nUnit Name<\/span><\/td>\nMarks<\/span><\/td>\n<\/tr>\n
I<\/span><\/td>\nRelations and Functions<\/span><\/td>\n08<\/span><\/td>\n<\/tr>\n
II<\/span><\/td>\nAlgebra (Matrices & Determinants)<\/span><\/td>\n10<\/span><\/td>\n<\/tr>\n
III<\/span><\/td>\nCalculus<\/span><\/td>\n35<\/span><\/td>\n<\/tr>\n
IV<\/span><\/td>\nVectors and 3D Geometry<\/span><\/td>\n14<\/span><\/td>\n<\/tr>\n
V<\/span><\/td>\nLinear Programming<\/span><\/td>\n05<\/span><\/td>\n<\/tr>\n
VI<\/span><\/td>\nProbability<\/span><\/td>\n08<\/span><\/td>\n<\/tr>\n
<\/td>\nTotal Theory Score<\/span><\/td>\n80<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Now look at that properly.<\/span><\/p>\n

Calculus alone is 35 marks. That\u2019s almost half the paper. If your derivative and integration formulas are weak, the paper automatically feels tough. Also, Algebra and Probability together take a decent chunk of marks.<\/span><\/p>\n

These chapters are not unpredictable. The question style doesn\u2019t change much every year. If your formulas are clear, you won\u2019t feel stuck at the starting step. That\u2019s half the battle in Maths.<\/span><\/p>\n

Algebraic & Numerical Formulas<\/span><\/h2>\n

You will notice that the same few formulas keep coming back, whether it\u2019s Algebra, Calculus or Probability. So instead of revising them unit by unit, keep them in one list.<\/span><\/p>\n

Read them. Write them once. Then solve a couple of questions.\u00a0<\/span><\/p>\n

Here is a list to help you:<\/span><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Topic<\/span><\/td>\nFormula<\/span><\/td>\n<\/tr>\n
All Algebraic Identities Formulas<\/span><\/a><\/td>\n(a + b)\u00b2 = a\u00b2 + 2ab + b\u00b2<\/span><\/p>\n

(a \u2212 b)\u00b2 = a\u00b2 \u2212 2ab + b\u00b2<\/span><\/p>\n

a\u00b2 \u2212 b\u00b2 = (a \u2212 b)(a + b)<\/span><\/p>\n

(a + b)\u00b3 = a\u00b3 + 3a\u00b2b + 3ab\u00b2 + b\u00b3<\/span><\/p>\n

(a \u2212 b)\u00b3 = a\u00b3 \u2212 3a\u00b2b + 3ab\u00b2 \u2212 b\u00b3<\/span><\/td>\n<\/tr>\n

Quadratic Equation Formula<\/span><\/td>\nx = [\u2212b \u00b1 \u221a(b\u00b2 \u2212 4ac)] \/ 2a<\/span><\/td>\n<\/tr>\n
Formula to Solve a Quadratic Equation<\/span><\/a><\/td>\nDiscriminant: D = b\u00b2 \u2212 4ac<\/span><\/td>\n<\/tr>\n
Arithmetic Progression Formula<\/span><\/td>\na\u2099 = a + (n \u2212 1)d<\/span><\/td>\n<\/tr>\n
Arithmetic Progression All Formula (sum)<\/span><\/td>\nS\u2099 = n\/2 [2a + (n \u2212 1)d]<\/span><\/p>\n

S\u2099 = n\/2 (a + l)<\/span><\/td>\n<\/tr>\n

Sum and Difference Formulas<\/span><\/td>\nsin(A \u00b1 B) = sinA cosB \u00b1 cosA sinB<\/span><\/p>\n

cos(A \u00b1 B) = cosA cosB \u2213 sinA sinB<\/span><\/td>\n<\/tr>\n

Trigonometry Double Angle Formula<\/span><\/td>\nsin(2x) = 2 sinx cosx<\/span><\/p>\n

cos(2x) = cos\u00b2x \u2212 sin\u00b2x<\/span><\/p>\n

tan(2x) = [2 tanx]\/[1 \u2212 tan\u00b2x]<\/span><\/td>\n<\/tr>\n

Inverse Trig Properties<\/span><\/td>\nsin(sin\u207b\u00b9 x) = x<\/span><\/p>\n

cos(cos\u207b\u00b9 x) = x<\/span><\/p>\n

tan(tan\u207b\u00b9 x) = x<\/span><\/td>\n<\/tr>\n

Basic Derivative Formulas<\/span><\/td>\nd\/dx(x\u207f) = nx\u207f\u207b\u00b9<\/span><\/p>\n

d\/dx(e\u02e3) = e\u02e3<\/span><\/p>\n

d\/dx(ln x) = 1\/x<\/span><\/p>\n

d\/dx(sin x) = cos x<\/span><\/p>\n

d\/dx(cos x) = \u2212sin x<\/span><\/td>\n<\/tr>\n

Basic Integral Formulas<\/span><\/td>\n\u222b x\u207f dx = x\u207f\u207a\u00b9\/(n+1)<\/span><\/p>\n

\u222b e\u02e3 dx = e\u02e3<\/span><\/p>\n

\u222b (1\/x) dx = ln<\/span><\/p>\n

\u222b sin x dx = \u2212cos x<\/span><\/p>\n

\u222b cos x dx = sin x<\/span><\/td>\n<\/tr>\n

Binomial Theorem Formula<\/span><\/a><\/td>\n(a + b)\u207f = \u03a3 \u207fC\u1d63 a\u207f\u207b\u02b3 b\u02b3<\/span><\/p>\n

General Term T\u1d63\u208a\u2081 = \u207fC\u1d63 a\u207f\u207b\u02b3 b\u02b3<\/span><\/td>\n<\/tr>\n

Logarithm Formula<\/span><\/td>\nlog(ab) = loga + logb<\/span><\/p>\n

log(a\/b) = loga \u2212 logb<\/span><\/p>\n

log(a\u207f) = n loga<\/span><\/td>\n<\/tr>\n

Permutation and Combination Formula<\/span><\/a><\/td>\n\u207fP\u1d63 = n! \/ (n \u2212 r)!<\/span><\/p>\n

\u207fC\u1d63 = n! \/ [r!(n \u2212 r)!]<\/span><\/td>\n<\/tr>\n

Probability Formula 12th Class<\/span><\/td>\nP(E) = Number of favourable outcomes \/ Total possible outcomes<\/span><\/p>\n

P(A \u222a B) = P(A) + P(B) \u2212 P(A \u2229 B)<\/span><\/td>\n<\/tr>\n

Conditional Probability Formula<\/span><\/td>\nP(A | B) = P(A \u2229 B) \/ P(B)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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