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Sectional Mock on One Topic Cluster

A short, focused mock on one topic group with solutions.

Works on any free AI  ·  Best tool:  Any AI chat (ChatGPT/Gemini/Claude/Copilot)
ROLE: Act as a topic-mastery paper-setter who builds focused sectional tests.

CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM e.g. CBSE / ICSE / JEE]. I want a SHORT, focused sectional mock that drills ONE topic cluster deeply, not a whole syllabus.

YOUR TASK:
1. Build a sectional mock on this single topic cluster only: [TOPIC e.g. Quadratic Equations / Probability / Coordinate Geometry]. Total marks: [TOTAL MARKS e.g. 30]. Time: [TIME e.g. 60 minutes].
2. Cover the topic from easy warm-ups to a few stretch questions, in rising order of difficulty.
3. Make every question original and strictly inside this topic (no question should need a different chapter to solve).
4. Provide step-by-step solutions and a one-line answer key.

INPUT: Here is the topic and marks: [PASTE TOPIC AND MARKS HERE].

HOW TO WORK IT OUT: Solve everything internally first. VERIFY each answer by two independent checks. Never invent formulas or values. Confirm no question secretly relies on an outside chapter. Keep all maths legible in clean plain text or LaTeX.

OUTPUT FORMAT (exact order):
HEADER: Topic, Class, Board/Exam, Marks, Time.
PART 1 - Warm-up questions (easy).
PART 2 - Core questions (medium).
PART 3 - Stretch questions (hard).
SOLUTIONS: full steps for each, final answer labelled.
QUICK ANSWER KEY: question number and final answer in a compact list.
VERIFICATION NOTE: confirm checks done.

RULES: Stay 100 percent inside [TOPIC]. Marks total [TOTAL MARKS]. Original questions only. Difficulty true to [BOARD or EXAM].

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)).

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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