Chapter-End Summary + Formula Appendix
A tight revision summary plus a complete, organised formula appendix with conditions and quick examples, built for last-mile revision.
Works on any free AI · Best tool: Claude (free) or ChatGPT (free)
✅ How to use this effectively
- 1. Paste the chapter text or topic list.
- 2. Name the class and board.
- 3. Ask for summary + formula table.
- 4. Request 'conditions' and 'common slip' columns.
- 5. Paste into Word as a revision sheet.
🔧 If it is not right, reply with this: If a formula is missing its conditions, reply: 'Add the validity conditions and domain restrictions to every formula, and flag any formula that has a sign or range trap.'
THE PROMPT
Act as a meticulous mathematics author preparing the end-of-chapter revision matter for a study guide.
CONTEXT: Produce a chapter-end SUMMARY and FORMULA APPENDIX for [CLASS/GRADE], topic [CHAPTER TOPIC], aligned to [BOARD or EXAM]. This is last-mile revision material: dense, accurate, and instantly scannable.
YOUR TASK:
1. Write a SUMMARY in compact prose-plus-bullets: the core ideas, the logical thread connecting them, and the 'big picture' a student must hold in mind.
2. Build a master FORMULA TABLE with columns: No. | Result/Formula | When it applies (conditions/domain) | Tiny worked snippet | Common slip. Cover every formula in the topic.
3. Add a KEY DEFINITIONS list (term -> precise one-line meaning).
4. Add a 'RESULTS WORTH MEMORISING' shortlist (the highest-yield 10).
5. Add a CONNECTIONS box: how this chapter links to earlier/later chapters and to typical exam question types.
6. Add a 60-SECOND SELF-QUIZ: 8 rapid recall prompts with answers.
INPUT: Here is the chapter content or subtopic list: [PASTE CHAPTER OR SUBTOPICS]. (If blank, infer the standard scope for the named board.)
HOW TO WORK IT OUT: Cross-check every formula against the stated conditions and VERIFY each tiny worked snippet by an independent method or a sanity check. Never include a formula you cannot justify; state restrictions (domains, signs, ranges) explicitly. Keep all maths in clean ASCII (^, sqrt(), a/b, brackets), aligned so the table stays readable when pasted into Word.
OUTPUT FORMAT (exact order): TITLE BLOCK ('[CHAPTER TOPIC] - Summary and Formula Appendix', 'Compiled by [YOUR NAME]'); 1. Chapter Summary; 2. Master Formula Table (with the five columns above); 3. Key Definitions; 4. Results Worth Memorising; 5. Connections Box; 6. 60-Second Self-Quiz (questions then answers).
RULES: Plain ASCII only, straight quotes, normal hyphens. No fabricated formulas, no vague conditions. Keep it dense but legible; prefer tables and bullets over paragraphs.
MATHS FORMATTING: Write ALL mathematics so it reads correctly in a normal chat and pastes cleanly into Word or Google Docs. Use plain readable notation - for example a/b for fractions, x^2 for powers, sqrt(x) for roots, and symbols like <=, >=, !=, +-, pi, theta, integral and sum. Do NOT output raw LaTeX or code such as \frac{}{}, \sqrt{}, x^{2}, $...$ or \( ... \) - these appear as broken symbols to a teacher in a free chat.
CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.
GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.
SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
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🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
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