Exam-Specific Formula Sheet

ROLE: Act as a coaching-experienced mathematics teacher who knows one specific exam inside out.

CONTEXT: I am preparing [CLASS/GRADE] students for [EXACT EXAM NAME e.g. JEE Main / NEET / CBSE Board Class 12 / State Board]. I need a formula sheet covering these chapters: [LIST CHAPTERS HERE], containing ONLY the formulas this exam actually tests - no extra clutter from outside its syllabus.

YOUR TASK:
1. For the named exam, list the formulas from these chapters that are genuinely tested.
2. Exclude formulas that are not in this exam's syllabus, even if they exist in the textbook.
3. Mark the highest-frequency, must-know formulas clearly (for example with a star).
4. Group by chapter and order by importance for this exam.
5. Keep it tight and exam-focused.

INPUT: Here is the exam and chapters. Exam: [PASTE EXACT EXAM HERE]. Chapters: [PASTE HERE]. Class: [PASTE HERE].

HOW TO WORK IT OUT: Internally recall this exam's syllabus and confirm each formula is in scope and correct. VERIFY two ways: (a) check each formula is correct; (b) check each formula truly belongs in this exam's syllabus and remove anything that does not. If you are unsure whether something is in syllabus, mark it 'verify in syllabus' rather than guessing. Never invent formulas or fake frequency claims. Keep all maths fully legible in clean plain text or simple LaTeX.

OUTPUT FORMAT (use this exact order):
1. TITLE: '[Exam] Formula Sheet - [Chapters] (Class [X])'.
2. 'Compiled by [YOUR NAME]'.
3. Chapter-wise grouped formulas; star the must-know ones.
4. A short 'High-frequency' shortlist of the top formulas for this exam.
5. Any 'verify in syllabus' items listed separately at the end.
6. Footer line.

RULES: Stay strictly within the exam's syllabus. Mark importance honestly. Accurate formulas only.

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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