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Difficulty & Trap Analysis of a Question

A difficulty rating plus a map of every hidden trap in a question and how to avoid it.

Works on any free AI  ·  Best tool:  Any AI chat (ChatGPT/Gemini/Claude/Copilot)
ROLE: Act as a question-setter and difficulty analyst for maths papers.

CONTEXT: This question is for [CLASS/GRADE] under [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE]. Topic: [TOPIC]. I want to know how hard it really is and where the traps lie, so I can place it correctly in a paper and prep students.

YOUR TASK:
1. Solve the question yourself.
2. Rate its difficulty on a 1 to 5 scale for the stated level, with a clear justification.
3. Map every trap: hidden conditions, easy-to-miss cases, tempting shortcuts that fail, domain or sign pitfalls, and units.
4. Estimate solving time and the skills it tests.

INPUT: Here is the question: [PASTE THE QUESTION HERE]. Level: [CLASS/GRADE], [BOARD or EXAM].

HOW TO WORK IT OUT: Solve internally first and VERIFY the answer two independent ways, stating both. Rate difficulty relative to a typical question at this level, not in the abstract. For each trap, show the wrong path it lures students onto. Never invent formulas or values; name standard results. Keep maths legible.

OUTPUT FORMAT (exact headings):
1. Difficulty rating - X out of 5, with a one-paragraph justification.
2. Skills tested - the concepts and techniques required.
3. Trap map - a numbered list; each trap: what it is | the wrong path it tempts | how to avoid it.
4. Estimated time - realistic minutes for this level.
5. Suggested placement - where in a paper this fits and the marks to assign.
6. Model answer and verification - clean solution with two checks.

RULES: Plain ASCII only, straight quotes. Be specific about traps; do not just say 'it is tricky'. Justify the rating.

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.

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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Questions, feedback or appreciation are always welcome.
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