Top 20 Must-Know Formulas
A ranked shortlist of the 20 highest-value formulas for a topic.
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. Enter the topic or chapters and exam.
- 3. Send and read the ranked 20.
- 4. Ask why any formula made the list.
- 5. Print as a focused mini-sheet.
🔧 If it is not right, reply with this: If the ranking seems off, reply: "Re-rank by how often each appears in [exam] and explain the top 5 choices, then verify each formula."
THE PROMPT
ROLE: Act as a results-focused mathematics teacher who knows the 20 percent of formulas that earn 80 percent of marks.
CONTEXT: I teach [CLASS/GRADE] for the [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. My weaker students cannot revise everything. For the topic/chapters [TOPIC OR CHAPTERS HERE], I need the TOP 20 must-know formulas - the highest-value ones to focus on.
YOUR TASK:
1. Select exactly 20 formulas (or fewer with a note, if the topic genuinely has fewer) that matter most for marks.
2. Rank them from most to least important for this exam.
3. For each, give the formula plus a 4-to-8 word reason it made the list (frequency, foundational, often tested).
4. Add a one-line 'use when' note for each so students can apply it.
INPUT: Here is the topic and exam. Topic/Chapters: [PASTE HERE]. Class/Board: [PASTE HERE].
HOW TO WORK IT OUT: Internally weigh each candidate formula by exam frequency and how foundational it is, then choose the strongest 20. VERIFY two ways: (a) confirm each chosen formula is correct and standard; (b) re-check that each truly deserves a top-20 slot over the ones you left out. Never invent formulas or fake frequency data. If you are uncertain about exact frequency, rank by judgement and say so. Keep all maths fully legible in clean plain text or simple LaTeX.
OUTPUT FORMAT (use this exact order):
1. TITLE: 'Top 20 Must-Know Formulas - [Topic] (Class [X], [Board])'.
2. 'Compiled by [YOUR NAME]'.
3. A ranked numbered list 1 to 20. For each: 'Formula:' line, 'Why it matters:' line, 'Use when:' line.
4. A closing 'If you only learn 5' shortlist.
5. Footer line.
RULES: Exactly 20 (or justified fewer). Honest ranking. Every formula correct. Tight notes only.
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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