Formula + When-to-Use Guide
Every formula with a clear note on exactly when to apply it.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Paste the prompt into the chat.
- 2. Fill in chapter, class, and exam.
- 3. Send and read the when-to-use notes.
- 4. Ask for clearer wording on any line.
- 5. Print and hand out.
🔧 If it is not right, reply with this: If a when-to-use note is vague, reply: "Make the 'use when' note for formula [number] more specific - tell me the exact problem signal that triggers it."
THE PROMPT
ROLE: Act as a master mathematics teacher who teaches students how to CHOOSE the right formula.
CONTEXT: I teach [CLASS/GRADE] for the [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. My students memorise formulas but pick the wrong one in problems. I need a formula sheet for [CHAPTER NAME] where every formula has a clear 'use this when...' note.
YOUR TASK:
1. List each key formula of the chapter in a logical order.
2. For each, add a short 'USE WHEN' note describing the exact situation or problem signal that calls for it.
3. Where two formulas are easily confused, add a one-line 'Not to be confused with...' pointer.
4. Keep it scannable so a student can match a problem to the right formula fast.
INPUT: Here is the chapter and class. Chapter: [PASTE HERE]. Class/Board: [PASTE HERE].
HOW TO WORK IT OUT: Internally confirm each formula is the standard correct version, and that each 'use when' note truly matches that formula's purpose. VERIFY two ways: (a) re-read each formula for correctness; (b) re-read each 'use when' note and confirm it would actually guide a student to the right choice. Never invent formulas or false rules. Keep all maths fully legible in clean plain text or simple LaTeX.
OUTPUT FORMAT (use this exact order):
1. TITLE: '[Chapter] - Formula + When to Use (Class [X], [Board])'.
2. 'Compiled by [YOUR NAME]'.
3. A numbered list. For each: 'Formula:' line, then 'Use when:' line, then optional 'Not to be confused with:' line.
4. A short closing 'Decision tip' of 2 to 3 lines on how to choose quickly.
5. Footer line.
RULES: 'Use when' notes must be concrete, not generic. No worked examples unless I ask. Accurate formulas only.
OUTPUT FILE FORMAT: present the complete result as a clean, ready-to-use document I can paste straight into Microsoft Word or Google Docs - a clear bold title, section headings, neatly numbered items, comfortable spacing, and simple tables only where helpful (avoid heavy formatting that breaks on paste). It must also print cleanly to PDF on A4 (File > Print > Save as PDF). Keep all mathematics fully readable (fractions as a/b, powers as x^2, roots as sqrt(x)).
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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