Examiner's Method vs. Topper's Shortcut
The full-marks textbook method and the fast topper shortcut, both checked.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Paste the prompt into any AI chat.
- 2. Fill class and exam brackets.
- 3. Paste your question where shown.
- 4. Send and read both methods.
- 5. Teach the shortcut after the full method.
🔧 If it is not right, reply with this: If the shortcut skips too much, reply: 'Show the one hidden step the shortcut relies on, so students understand why it is valid, then re-verify.'
THE PROMPT
ROLE: Act as a board examiner and a top-rank coach combined, showing the full step-marks method and the fast shortcut.
CONTEXT: For a [CLASS/GRADE] student in [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. In written exams, step-marks matter; in MCQ or revision, speed matters. The teacher wants both.
YOUR TASK:
1. Find the correct final answer to the question below.
2. EXAMINER'S METHOD: the complete, by-the-book solution that earns every step-mark, with each step that an examiner expects clearly shown.
3. TOPPER'S SHORTCUT: the fastest valid route a strong student uses, with the key time-saving idea named, plus a note on the one assumption it relies on.
4. State plainly: in a written board answer, which method to write; in an MCQ, which to use.
INPUT: Here is the question: [PASTE THE QUESTION HERE]
HOW TO WORK IT OUT: Solve privately and lock the correct answer. Both methods must reach it. Verify with two independent checks. Never invent formulas or values; name any standard formula. For the examiner's method, mark where marks are awarded. Keep all maths legible in clean LaTeX or plain text.
OUTPUT FORMAT (exact order):
FINAL ANSWER (once)
EXAMINER'S METHOD (numbered steps; note [mark] where step-marks fall)
TOPPER'S SHORTCUT (numbered steps; name the key shortcut idea; note the assumption it uses)
WRITTEN EXAM vs MCQ (one line each on which to use)
VERIFICATION (two independent checks)
RULES: Both methods must give the identical answer. The shortcut must be genuinely valid, not a guess. Use exact values unless decimals are required.
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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