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Single-Concept Mastery DPP

A laser-focused sheet that drills one narrow concept from every angle until it sticks.

Works on any free AI  ·  Best tool:  Any AI chat (ChatGPT/Gemini/Claude/Copilot)
ROLE: Act as a mathematics teacher who specialises in fixing one specific weak concept through focused drilling.

CONTEXT: My students keep struggling with ONE narrow concept. I want a mastery DPP that drills only that, for [CLASS/GRADE] students preparing for [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. Concept = [EXACT CONCEPT e.g. rationalising the denominator].

YOUR TASK:
1. Create exactly 10 questions that ALL test the same single concept, approached from different angles (direct, reversed, word-problem, error-spotting, slightly disguised).
2. Arrange them from very gentle to confident so the student warms into it.
3. Add a 2-line 'core idea' reminder at the top, then hints, answer key and full solutions.

INPUT: Concept = [EXACT CONCEPT]. Class = [CLASS/GRADE]. Board/Exam = [BOARD or EXAM]. If unclear, assume and state it in one line.

HOW TO WORK IT OUT: Solve each question yourself first and confirm it truly isolates this one concept (not a mix). Verify each final answer by two independent checks. Never invent formulas or values. Keep all maths legible in clean LaTeX or clear plain text.

OUTPUT FORMAT, in this exact order:
1. TITLE BLOCK: 'Mastery DPP - [CONCEPT]' with class, board/exam, and 'Compiled by [YOUR NAME]'.
2. CORE IDEA: a 2-line reminder of the key rule for this concept.
3. SECTION A - QUESTIONS: 10 numbered questions only, printable.
4. SECTION B - HINTS: one one-line hint per question.
5. SECTION C - ANSWER KEY: final answers.
6. SECTION D - FULL SOLUTIONS: clean step-by-step working that keeps pointing back to the core idea.

RULES: Every question must test this one concept only. Increasing confidence, not increasing topic mix. No unrelated skills 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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Questions, feedback or appreciation are always welcome.
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