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CBSE Class 12 Math HOTS Questions

CBSE CLASS 12 MATH HOTS QUESTIONS

"Develop Analytical Thinking Skills Through Challenging Math Problems"

This comprehensive CBSE Class 12 Mathematics HOTS (Higher Order Thinking Skills) practice covers all chapters from the NCERT syllabus with carefully curated challenging questions. Each chapter contains application-based, analytical, and evaluative questions designed to test your conceptual understanding and problem-solving abilities. These questions will help you excel in CBSE board exams and develop the skills needed to tackle complex mathematical problems.

1. Relations and Functions

15 HOTS Questions | Advanced applications of relations, functions and composition

2. Inverse Trigonometric Functions

12 HOTS Questions | Complex problems involving inverse trig functions and their properties

3. Matrices

18 HOTS Questions | Advanced matrix operations and applications

4. Determinants

15 HOTS Questions | Advanced applications of determinants and properties

5. Continuity and Differentiability

20 HOTS Questions | Advanced problems on continuity, differentiability and L'Hôpital's rule

6. Application of Derivatives

22 HOTS Questions | Optimization problems and rate of change applications

7. Integrals

25 HOTS Questions | Advanced integration techniques and applications

8. Applications of Integrals

18 HOTS Questions | Area under curves and between curves problems

9. Differential Equations

15 HOTS Questions | Formation and solution of differential equations

10. Vector Algebra

12 HOTS Questions | Advanced vector operations and geometric applications

11. Three Dimensional Geometry

18 HOTS Questions | Lines and planes in 3D space problems

12. Linear Programming

10 HOTS Questions | Optimization problems using graphical method

13. Probability

15 HOTS Questions | Conditional probability and Bayes' theorem applications

HOTS Strategy

"For HOTS questions, always break down complex problems into smaller, manageable parts and apply fundamental concepts systematically."

- CBSE Topper

Math HOTS illustration

Math HOTS Tip

"Focus on understanding the underlying concepts and developing problem-solving strategies rather than memorizing solutions for HOTS questions."

- CBSE Examiner