Relations, Functions & Inverse Trigonometry
~10 marksMostly 1–2 mark questions; master domain/range of inverse trig and composition of functions for quick guaranteed marks.
- Relations and Functions
- Inverse Trigonometric Functions
NCERT reference page
NCERT Class 12 Maths — Board Mark Weightage Guide
Class 12 board papers follow a predictable mark distribution year after year. This page maps the 13 NCERT chapters into 6 mark-weight groups so students can prioritise revision time where it returns the most marks — not just work through the textbook in order.
13
chapters covered
6
mark-weight groups
~44%
from Calculus
Mark map
Approximate board weightage per group
Relations, Functions & Inv. Trig.
~10 marksMatrices & Determinants
~13 marksCalculus — Differentiation
~17 marksCalculus — Integration
~17 marksVectors, 3D & Linear Programming
~17 marksProbability
~8 marksBoard paper total
80 marks theory + 20 marks internal. The mark map above covers the 80-mark written paper.
Chapters by board weightage
Revise by mark priority, not by chapter number
Each group shows which NCERT chapters it covers and what to focus on for the board paper. The mark figures are representative of the standard CBSE blueprint.
Algebra: Matrices & Determinants
~13 marksA reliable scoring section — properties of determinants and matrix operations follow fixed patterns that repeat every year.
- Matrices
- Determinants
Calculus — Differentiation
~17 marksHighest single-section weightage. Prioritise chain rule, implicit differentiation, and maxima/minima word problems.
- Continuity and Differentiability
- Application of Derivatives
Calculus — Integration
~17 marksLearn the standard integral forms by heart. For area problems, sketch the region before integrating.
- Integrals
- Application of Integrals
- Differential Equations
Vectors, 3D Geometry & Linear Programming
~17 marksVector and 3D questions have high formula density; Linear Programming is fully graphical and reliably scorable.
- Vector Algebra
- Three Dimensional Geometry
- Linear Programming
Probability
~8 marksBayes' theorem and conditional probability appear every year. One medium question guaranteed in board papers.
- Probability
Practice bridge
Turn the syllabus into a board-style practice session
Use these ready-made prompts in the practice test generator. Copy any prompt into the question input, pick the mark type, and generate a targeted set.
Prompt 1
Generate 5 board-style 4-mark questions on Application of Derivatives covering maxima, minima, and rate of change.
Prompt 2
Create a mixed Integration practice set with substitution, integration by parts, and definite integrals.
Prompt 3
Generate a full-section Matrices and Determinants drill with 1-mark, 2-mark, and 4-mark questions.
How to use this page
Start with Calculus, not Chapter 1
With two months left before boards, working through chapters in textbook order wastes time on low-weight topics while Calculus — worth roughly 44% of the paper — waits until the end. Start with Calculus and Matrices (13 marks, high predictability) first, then fill in the rest of the syllabus in whatever order fits your remaining time.
The board paper rules in the sidebar come from common examiner patterns and show exactly where step marks are gained or lost. Pair them with the AI practice test to move from syllabus awareness to active question practice in the same sitting.
Official resources