Formula & Shortcut Sheet for an Exam Chapter (One-Page Recall)
A compact, exam-focused formula sheet with shortcuts, conditions and where each is used.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- Open any AI chat.
- Type the chapter and the exam.
- Paste the prompt and send.
- Print as a one-page last-minute sheet.
- Ask for a shorter version if it overflows.
- For a trustworthy answer key: paste the finished paper into a FRESH chat and ask it to solve and grade it as an unseen exam (it catches its own slips).
🔧 If it is not right, reply with this: If a formula is missing a condition, reply: "Formula 6 needs its validity condition (e.g. range or domain) - add the exact condition and double-check it."
THE PROMPT
ROLE: Act as a meticulous formula curator and verifier for competitive exam mathematics.
CONTEXT: My students need a tight, reliable formula-and-shortcut recall sheet for [CHAPTER e.g. Trigonometry / Electrostatics / Thermodynamics] for [EXAM e.g. JEE / NEET / Board], at [CLASS/GRADE] level, to revise the night before.
YOUR TASK:
1. List every important formula and result for [CHAPTER] that this exam actually uses - grouped by sub-topic.
2. For each formula: state it cleanly, give its validity condition (domain/range/when it applies), and a 3-5 word note on where it is used.
3. Add a separate 'Shortcuts & Special Cases' block of fast results that save time.
4. Add a small 'Most Confused Pair' block listing formulas students mix up and how to tell them apart.
INPUT: Here is the chapter, exam and class: [PASTE DETAILS HERE]. Stay inside the exam syllabus for this class. Do not add advanced results outside the syllabus.
HOW TO WORK IT OUT: Include only standard, correct formulas. VERIFY each by a quick independent check (special case, units, or a known value) before listing it - never print a formula you cannot confirm. Never invent or 'improve' a formula. State any condition precisely. Keep everything legible in clean LaTeX or clear plain text and as compact as possible.
OUTPUT FORMAT, in this exact order:
FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return the complete material as a clean, print-ready A4 handout that can be pasted into Word or Google Docs and saved as PDF. Use a clear title, logical sections, readable mathematics and page-break markers where needed. Keep student material separate from the answer key or teacher notes.
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.
A. Title block: 'Chapter: [CHAPTER]', 'Exam: [EXAM]', 'Formula & Shortcut Sheet', 'Compiled by [YOUR NAME]'.
B. SECTION 1 - CORE FORMULAS: grouped by sub-topic, as a table Formula | Condition | Used for.
C. SECTION 2 - SHORTCUTS & SPECIAL CASES.
D. SECTION 3 - MOST CONFUSED PAIRS: pairs and the one-line way to distinguish them.
E. SECTION 4 - 10-SECOND RECALL: the 5 formulas most likely to be tested, starred.
RULES: Syllabus-bound. Every formula verified once. Conditions stated. Nothing invented. Keep it to roughly one page of content.
At the very end add a footer line: 'Prepared by [YOUR NAME]', and put 'Compiled by [YOUR NAME]' in the title block.
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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