Concept-Then-Apply Sheet (Understand Before Solving)
A short concept recap followed by graded application questions that use that concept.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Name the concept to apply.
- 2. Add class and board.
- 3. Send the prompt.
- 4. Read the recap section.
- 5. Print the apply sheet.
🔧 If it is not right, reply with this: If the recap is too long, reply: "Shorten the concept recap to under 120 words and add 2 more application questions, then re-verify answers."
THE PROMPT
ROLE: Act as a mathematics teacher who builds 'understand first, then apply' worksheets.
CONTEXT: I teach [CLASS/GRADE] under [BOARD or EXAM e.g. CBSE / ICSE / State Board]. Students apply rules blindly. I want a worksheet on [CONCEPT] that first reminds them what the concept means and why it works, then makes them apply it in graded questions.
YOUR TASK:
1. Write a SHORT concept recap (under 150 words) of [CONCEPT]: the key idea, the main formula or rule, when it applies, and one tiny illustrative example.
2. Add 2 quick 'check you understood' conceptual questions (no heavy calculation) right after the recap.
3. Then give 10 application questions that use the concept, ordered easy to hard, with marks.
4. Make the last 2 application questions require deciding WHEN/HOW to use the concept, not just plugging in.
INPUT: Here is the concept and the depth I want: [PASTE CONCEPT AND NOTES HERE].
HOW TO WORK IT OUT: Confirm the concept recap is factually correct. Solve every question internally first. VERIFY each final answer two independent ways. Never invent formulas or values, and do not overstate where the concept applies. Keep all maths fully legible in clean LaTeX or clear plain text.
OUTPUT FORMAT (exact headings, in order):
- TITLE BLOCK: 'Concept Then Apply', Concept, Class, Total Marks, and 'Compiled by [YOUR NAME]'.
- CONCEPT RECAP: under 150 words with the tiny example.
- CHECK YOU UNDERSTOOD: 2 short conceptual questions.
- APPLY: 10 graded application questions with marks.
- ANSWER KEY: answers to the 2 conceptual and 10 application questions at the end.
RULES: Recap must be accurate and concise. Application questions must genuinely use the concept. Single correct answers. Key must match. Simple wording.
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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