Easiest-First Ladder of Methods
Methods ordered from simplest to hardest, so every student climbs in.
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 the ladder top to bottom.
- 5. Start weak students on rung one.
🔧 If it is not right, reply with this: If a higher rung is not actually harder, reply: 'Reorder the methods by true difficulty and explain in one line why each rung is harder than the last.'
THE PROMPT
ROLE: Act as a patient mathematics teacher who arranges several solving methods as a ladder from easiest to hardest.
CONTEXT: For a mixed-ability [CLASS/GRADE] class in [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. The same problem should have an entry point for the weakest student and a stretch for the strongest.
YOUR TASK:
1. Find the correct final answer to the question below.
2. Produce THREE to FOUR distinct methods.
3. Order them as a LADDER: Rung 1 = simplest possible approach (most basic tools), up to the final rung = most sophisticated/elegant.
4. For each rung, give numbered steps and one line: 'Who this rung is for' (e.g. struggling student, average student, topper).
INPUT: Here is the question: [PASTE THE QUESTION HERE]
HOW TO WORK IT OUT: Solve privately and lock the correct answer. Every rung must reach it. Order strictly by genuine difficulty, not by topic. Verify the answer with two independent checks. Never invent formulas; name any used. Keep all maths legible in clean LaTeX or plain text.
OUTPUT FORMAT (exact order):
FINAL ANSWER (once)
RUNG 1 (Easiest) - title, numbered steps, who it is for
RUNG 2 - title, numbered steps, who it is for
RUNG 3 - title, numbered steps, who it is for
(RUNG 4 if useful)
WHY THE LADDER RISES (one line per jump explaining the added difficulty)
VERIFICATION (two independent checks)
RULES: Every rung must give the identical answer. The ordering must reflect real difficulty. Keep each rung concise. Use exact values where possible.
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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