Skip to main content
Super TutorResources
Chapter 13 of 15
Study Plan

Appendix 1: Proofs in Mathematics — Study Plan

Madhya Pradesh Board · Class 12 · Mathematics

A step-by-step study plan for Appendix 1: Proofs in Mathematics, Madhya Pradesh Board Class 12 Mathematics: what to learn first, what to practise and when.

76 questions48 flashcards9 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Appendix 1: Proofs in Mathematics? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for study plan and more.

Try Super Tutor — Free

Free trial, no card needed.

Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Meaning of Proof and Main Types, 2. Direct Proof Methods, 3. Indirect Proof Methods.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 76 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Appendix 1: Proofs in Mathematics after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • A proof is a chain of deductive arguments.
  • Every step must be justified logically.
  • There are two broad ways to prove a proposition: directly and indirectly.
  • Direct proof starts with the given statement.
  • It includes straightforward approach, mathematical induction, and proof by cases.
  • It is a natural method when the conclusion follows step by step from the hypothesis.
  • Straightforward approach moves directly from hypothesis to conclusion.
  • Factorization is often used in algebraic proofs.
  • Each transformation must preserve equivalence.

Common Mistakes to Avoid

A proof can begin with a conclusion and still be valid if the final answer is correct.

Direct proof and proof by contradiction are basically the same thing because both try to prove the statement.

If one example works, then the whole general statement is true.

Memory Tips

A proof is a chain of deductive arguments

Direct proof starts from what is given

Straightforward approach

Factorization of x^2 - 5x + 6

Want a personalised study plan?

Super Tutor builds a day-by-day plan for Madhya Pradesh Board Class 12 Mathematics that fits your exam date and pace.

Create My Study Plan

Frequently Asked Questions

What are the important topics in Appendix 1: Proofs in Mathematics for Madhya Pradesh Board Class 12 Mathematics?
Key topics in Appendix 1: Proofs in Mathematics include Meaning of Proof and Main Types, Direct Proof Methods, Indirect Proof Methods, Important Worked Examples to Revise. Study these first, then practise questions on each for the Madhya Pradesh Board Class 12 board exam.
How should I revise Appendix 1: Proofs in Mathematics for the Madhya Pradesh Board Class 12 board exam?
Learn the core ideas first, then work through the 76 practice questions on Appendix 1: Proofs in Mathematics. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Appendix 1: Proofs in Mathematics

All Madhya Pradesh Board Class 12 Mathematics Study Plan

For serious students

Get the full Appendix 1: Proofs in Mathematics chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for Madhya Pradesh Board Class 12 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free