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FREE CHAPTER TEST · CBSE CLASS 12 · MATHEMATICS · CONTINUITY AND DIFFERENTIABILITY

Continuity and Differentiability — CBSE Class 12 Mathematics Chapter Test

An original chapter test on Continuity and Differentiability in the pattern of the CBSE Class XII Mathematics board paper: Sections A to E with MCQs, assertion-reason, very short, short and long answer and case study questions. 19 questions, 40 marks, 1½ hours. Section A is marked the moment you submit; you then mark your written answers against the model answer and the step marks of the marking scheme.

General instructions.
  1. This question paper contains 19 questions. All questions are compulsory.
  2. This question paper is divided into five sections: A, B, C, D and E.
  3. In Section A, Questions 1 to 8 are multiple choice questions (MCQs) and Questions 9 and 10 are assertion-reason based questions of 1 mark each.
  4. In Section B, Q11–13 are very short answer (VSA) type questions, carrying 2 marks each.
  5. In Section C, Q14–15 are short answer (SA) type questions, carrying 3 marks each.
  6. In Section D, Q16–17 are long answer (LA) type questions, carrying 5 marks each.
  7. In Section E, Q18–19 are case study based questions, carrying 4 marks each, with sub-parts of the values of 1, 1 and 2 marks.
  8. There is no overall choice. However, an internal choice has been provided in 1 question of Section B, 1 question of Section C, 1 question of Section D and in the 2-mark sub-part of each question of Section E.
  9. Use of calculators is not allowed. log x denotes the natural logarithm of x.
  10. This chapter test follows the section structure, question types and marks per question of the CBSE Class XII Mathematics (041) Sample Question Paper 2026-27, released on 21 September 2026 at cbseacademic.nic.in, at half the length of the 80-mark board paper: 40 marks in 1½ hours.
  11. Write your answers on paper or in the boxes below. No marks are deducted for wrong answers.
All questions are original and © Master Testing Agency. Free to download and use for personal practice; not for resale. Master Testing Agency is an independent test-prep publisher, not affiliated with, endorsed by or connected to the Central Board of Secondary Education (CBSE) or any other exam-conducting body.
QUESTIONS
19 (Sections A–E)
TIME ALLOWED
1½ hours
MAXIMUM MARKS
40
MARKING
CBSE scheme, no negative marks
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