Class 12 Maths MCQ and case study questions, chapter-wise
A free, original set for every chapter: 15 multiple-choice questions and 2 case-based questions in the board paper's format, each with the answer, a one-line reason and a worked solution that opens on a tap.
- 13 chapters
- 195 MCQs
- 26 case studies
- Free, no sign-in
Chapters
In NCERT order. Current rationalised syllabus only, and every question can be done without a calculator, as in the board exam.
Chapter 1 · Relations and FunctionsRelations and Functions15 MCQs · 2 case studies · answers and solutionsMCQs on Types of relations (5), One-one and onto functions (7), Equivalence relations and classes (3). Case studies: “School houses” and “Temperature converter”.Chapter 2 · Relations and FunctionsInverse Trigonometric Functions15 MCQs · 2 case studies · answers and solutionsMCQs on Principal values (5), Domain and range of principal value branches (3), Evaluating expressions (7). Case studies: “Ramps at the community centre” and “Playground swing”.Chapter 3 · AlgebraMatrices15 MCQs · 2 case studies · answers and solutionsMCQs on Order, types and equality of matrices (3), Transpose, symmetric and skew-symmetric matrices (5), Operations on matrices (6), Invertible matrices (1). Case studies: “Canteen sales” and “Fertiliser mix”.Chapter 4 · AlgebraDeterminants15 MCQs · 2 case studies · answers and solutionsMCQs on Evaluating determinants (4), Minors, cofactors and adjoint (4), Inverse of a matrix (3), Area of a triangle (3), Systems of linear equations (1). Case studies: “Triangular plot” and “Tea stall orders”.Chapter 5 · CalculusContinuity and Differentiability15 MCQs · 2 case studies · answers and solutionsMCQs on Continuity (2), Differentiability (2), Chain rule and standard derivatives (6), Implicit, parametric and logarithmic differentiation (3), Second-order derivatives (2). Case studies: “Taxi fare” and “Cooling cup of tea”.Chapter 6 · CalculusApplication of Derivatives15 MCQs · 2 case studies · answers and solutionsMCQs on Rate of change (3), Increasing and decreasing functions (3), Maxima and minima (9). Case studies: “Fencing a kitchen garden” and “Inflating a balloon”.Chapter 7 · CalculusIntegrals15 MCQs · 2 case studies · answers and solutionsMCQs on Indefinite integrals: standard forms (5), Integration by parts (2), Integration by substitution (1), Integration by partial fractions (1), Definite integrals and their properties (6). Case studies: “Cyclist's speed” and “Revenue from marginal revenue”.Chapter 8 · CalculusApplication of Integrals15 MCQs · 2 case studies · answers and solutionsMCQs on Area under simple curves (11), Areas of circles and ellipses (4). Case studies: “Elliptical pond” and “Curved flower bed”.Chapter 9 · CalculusDifferential Equations15 MCQs · 2 case studies · answers and solutionsMCQs on Order and degree (3), General and particular solutions (3), Variables separable (4), Linear equations (4), Homogeneous equations (1). Case studies: “Medicine in the bloodstream” and “Drip infusion”.Chapter 10 · Vectors and Three-Dimensional GeometryVector Algebra15 MCQs · 2 case studies · answers and solutionsMCQs on Magnitude, direction and components (3), Scalar (dot) product (6), Vector (cross) product (4), Section formula and collinearity (2). Case studies: “Pushing a trolley” and “Sail of a model boat”.Chapter 11 · Vectors and Three-Dimensional GeometryThree Dimensional Geometry15 MCQs · 2 case studies · answers and solutionsMCQs on Direction cosines and ratios (5), Equation of a line (3), Angle between two lines (4), Shortest distance between two lines (3). Case studies: “Zip-line cable” and “Two drone flight paths”.Chapter 12 · Linear ProgrammingLinear Programming15 MCQs · 2 case studies · answers and solutionsMCQs on Corner points and optimal values (8), Feasible regions (3), Terminology and formulation (4). Case studies: “Wooden toys and boxes” and “Weekly study plan”.Chapter 13 · ProbabilityProbability15 MCQs · 2 case studies · answers and solutionsMCQs on Conditional probability (4), Multiplication theorem and independent events (6), Total probability and Bayes' theorem (2), Random variable and its mean (3). Case studies: “Two filling machines” and “Choosing a quiz team”.
How these questions fit the board paper
- Section A has 18 MCQs and 2 assertion–reason questions of 1 mark each; these sets practise the MCQs chapter by chapter.
- Section E has three case-based questions of 4 marks (1 + 1 + 2, with a choice on the 2-mark part); each chapter here has two. See them all on one page: Class 12 case study questions, chapter-wise.
- Checked twice. Every answer was worked out a second time and checked again by an independent reviewer.
Beyond these sets
Each chapter page has revision notes and the first step of the Route to 95 free. CBSE Pro adds every question in the chapter banks with full step-marking schemes and the Route to 95 checkpoints. Our sample papers are free.
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Original questions written by CBSE Math Revision; not taken from NCERT, NCERT Exemplar or CBSE papers. CBSE Math Revision is independent and not affiliated with CBSE or NCERT.