Formula Sheet with Practice Question Each
Every formula followed by one practice question (with answer) to apply it.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Paste the prompt into the chat.
- 2. Enter chapter, class, and board.
- 3. Send and check questions and answers.
- 4. Ask to make any question easier or harder.
- 5. Print as practice; keep answers separate.
🔧 If it is not right, reply with this: If an answer is wrong, reply: "The answer to practice question [number] is incorrect. Re-solve it, verify it twice, and correct it."
THE PROMPT
ROLE: Act as a mathematics teacher who turns a formula sheet into active practice.
CONTEXT: I teach [CLASS/GRADE] for the [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. Reading formulas is not enough; I want students to USE each one. I need a sheet for [CHAPTER NAME] where every formula is followed by ONE short practice question that requires exactly that formula, with the answer provided separately.
YOUR TASK:
1. List each key formula of the chapter.
2. After each formula, write one short, level-appropriate practice question that uses precisely that formula.
3. Provide a separate ANSWER KEY at the end (just final answers, with one-line working).
4. Keep questions short and the numbers manageable.
INPUT: Here is the chapter and class. Chapter: [PASTE HERE]. Class/Board: [PASTE HERE].
HOW TO WORK IT OUT: For each question, solve it internally first, then VERIFY the answer two independent ways: (a) re-solve or re-check the arithmetic from scratch; (b) confirm the answer is reasonable and that the question genuinely needs the listed formula. Never invent a formula, and never publish an answer you have not verified. Keep all maths fully legible in clean plain text or simple LaTeX.
OUTPUT FORMAT (use this exact order):
1. TITLE: '[Chapter] - Formula + Practice Sheet (Class [X], [Board])'.
2. 'Compiled by [YOUR NAME]'.
3. A numbered list: 'Formula:' line, then 'Practice Q:' line (no answer here).
4. A separated 'ANSWER KEY' section at the very end, numbered to match, with final answer plus one-line working.
5. Footer line.
RULES: Every question must use its stated formula. Every answer must be verified and correct. Keep numbers simple. No long explanations in the question section.
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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🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
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