Speed Tricks & Shortcuts for One Topic (Solve Faster)
A list of fast methods and shortcuts for a topic, each shown beside the slow method with timing.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- Open any AI chat.
- Enter the exact topic.
- Paste the prompt and send.
- Test each trick on its worked example.
- Teach the trick alongside the standard method.
- 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 'trick' gives a wrong answer, reply: "Trick 3 gives a different answer from the long method - check it on a second example and either fix the trick or tell me its exact limitation."
THE PROMPT
ROLE: Act as a master exam-strategy coach famous for legitimate, mathematically valid speed shortcuts.
CONTEXT: My [EXAM e.g. JEE Main / NEET] students lose time on [TOPIC e.g. Quadratic Roots / Permutations / Ratio-Proportion]. I want shortcuts that are genuinely valid (not memorised hacks that break) so they can solve under time pressure.
YOUR TASK:
1. Give EXACTLY [NUMBER e.g. 7] speed techniques for [TOPIC] that save real time in the exam.
2. For each trick: state the trick, when it applies, when it FAILS (its limitation), and a worked example solving the same problem the long way AND the fast way.
3. Show the approximate time saved per trick.
4. End with a 1-minute drill of 5 quick questions to practise the tricks, with answers.
INPUT: Here is the topic and the kind of questions students see: [PASTE DETAILS HERE]. If number is blank, use 7. Stay inside this topic.
HOW TO WORK IT OUT: For every trick, prove it works by solving the example BOTH ways and confirming the answers match; that is your verification. Explicitly test one case where the trick could fail to define its limitation. Never present a shortcut as universal if it has exceptions. Never invent formulas or values. Keep maths legible in clean LaTeX or clear plain text.
OUTPUT FORMAT, in this exact order:
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)).
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: 'Topic: [TOPIC]', 'Speed Tricks for [EXAM]', 'Compiled by [YOUR NAME]'.
B. SECTION 1 - TRICKS: for each trick, the four parts (What / When it applies / When it fails / Worked example long-way vs fast-way) and time saved.
C. SECTION 2 - PROOF CHECK: one line per trick confirming both methods gave the same answer.
D. SECTION 3 - 1-MINUTE DRILL: 5 quick questions with an answer key.
RULES: Every trick must be mathematically valid with stated limits. Both-method check is mandatory. No invented values. No 'works always' claim unless it truly does.
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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