Class 10 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.
- 14 chapters
- 210 MCQs
- 28 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 · Number SystemsReal Numbers15 MCQs · 2 case studies · answers and solutionsMCQs on Fundamental Theorem of Arithmetic (4), HCF and LCM by prime factorisation (8), Irrational numbers (3). Case studies: “Bus depot timetable” and “Stationery kits”.Chapter 2 · AlgebraPolynomials15 MCQs · 2 case studies · answers and solutionsMCQs on Zeroes of a polynomial (3), Relationship between zeroes and coefficients (10), Geometrical meaning of zeroes (2). Case studies: “Bakery profit” and “Kitchen garden”.Chapter 3 · AlgebraPair of Linear Equations in Two Variables15 MCQs · 2 case studies · answers and solutionsMCQs on Consistency and number of solutions (7), Algebraic solution (substitution / elimination) (2), Graphical representation (3), Situational problems (3). Case studies: “School canteen” and “Fencing a park”.Chapter 4 · AlgebraQuadratic Equations15 MCQs · 2 case studies · answers and solutionsMCQs on Standard form (1), Solution by factorisation / quadratic formula (5), Discriminant and nature of roots (5), Situational problems (4). Case studies: “Cycling to the village” and “Buying school bags”.Chapter 5 · AlgebraArithmetic Progressions15 MCQs · 2 case studies · answers and solutionsMCQs on Identifying an AP (4), nth term of an AP (7), Sum of first n terms (4). Case studies: “Weekly savings” and “Stadium stand”.Chapter 6 · GeometryTriangles15 MCQs · 2 case studies · answers and solutionsMCQs on Similar figures (5), Basic Proportionality Theorem and its converse (6), Criteria for similarity (AA, SSS, SAS) (4). Case studies: “Pinhole camera” and “Width of a river”.Chapter 7 · Coordinate GeometryCoordinate Geometry15 MCQs · 2 case studies · answers and solutionsMCQs on Distance formula (7), Mid-point formula (4), Section formula (4). Case studies: “Drone deliveries” and “Park fountain”.Chapter 8 · TrigonometryIntroduction to Trigonometry15 MCQs · 2 case studies · answers and solutionsMCQs on Trigonometric ratios (4), Ratios of standard angles (7), Identity sin²A + cos²A = 1 and its applications (4). Case studies: “Solar panel frame” and “Geometry-box set squares”.Chapter 9 · TrigonometrySome Applications of Trigonometry15 MCQs · 2 case studies · answers and solutionsMCQs on Angle of elevation (8), Angle of depression (3), Problems with two right triangles (4). Case studies: “Lighthouse watch” and “Drone at the sports day”.Chapter 10 · GeometryCircles15 MCQs · 2 case studies · answers and solutionsMCQs on Tangent perpendicular to the radius (6), Lengths of tangents from an external point (9). Case studies: “Roundabout and roads” and “Plate in a triangular tray”.Chapter 11 · MensurationAreas Related to Circles15 MCQs · 2 case studies · answers and solutionsMCQs on Area and arc of a sector (13), Area of a segment (2). Case studies: “Lawn sprinkler” and “Pendulum in a science lab”.Chapter 12 · MensurationSurface Areas and Volumes15 MCQs · 2 case studies · answers and solutionsMCQs on Single solids (review for combinations) (5), Surface area of combinations of solids (4), Volume of combinations of solids (6). Case studies: “Rocket model” and “Spinning top”.Chapter 13 · Statistics and ProbabilityStatistics15 MCQs · 2 case studies · answers and solutionsMCQs on Mean of grouped data (6), Relationship between mean, median and mode (2), Median of grouped data (5), Mode of grouped data (2). Case studies: “Electricity use in a housing society” and “Unit-test marks”.Chapter 14 · Statistics and ProbabilityProbability15 MCQs · 2 case studies · answers and solutionsMCQs on Coins and dice (6), Classical probability (6), Complementary events (1), Playing cards (2). Case studies: “Spin wheel at the school fete” and “Class monitor by lottery”.
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 10 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.