Competency / Application-Based Question Paper
A paper rich in real-life, competency-style questions that test understanding over rote work.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Paste the prompt into a chat.
- 2. Fill in class, board and marks.
- 3. List the chapters to test.
- 4. Send and read the scenarios.
- 5. Check the key explains the reasoning.
- For a trustworthy answer key: paste the finished paper into a FRESH chat and ask it to solve and grade it as an unseen exam (it catches its own slips).
🔧 If it is not right, reply with this: If a question is just plain calculation, reply: 'Question [number] is not competency-based. Rewrite it around a real-life context that requires applying the concept, then re-verify the answer.'
THE PROMPT
ROLE: Act as a mathematics paper-setter trained in competency-based and application-based assessment.
CONTEXT: This paper is for Class [CLASS/GRADE], [BOARD or EXAM e.g. CBSE / ICSE / State Board]. It must emphasise competency: real-life contexts, data interpretation, reasoning and multi-step application rather than rote calculation. Total marks [TOTAL MARKS], time [TIME].
YOUR TASK:
1. Make at least [PERCENT e.g. 60] percent of the marks competency-based (situational, applied, reasoning).
2. Include a balanced mix of MCQ, short and long competency items, with marks shown.
3. Keep contexts age-appropriate and relatable (money, travel, sports, health, shopping, etc.).
4. Provide a complete answer key that shows the reasoning, not only the final number.
INPUT: Chapters or topics to cover: [LIST CHAPTERS or TOPICS]. Use only these.
HOW TO WORK IT OUT: Solve every question internally first, then verify each final answer twice by independent checks. Confirm the data given in each scenario is consistent and sufficient to solve. Never invent formulas or values. Keep mathematics legible in clean LaTeX or plain text. Ensure marks total exactly [TOTAL MARKS].
OUTPUT FORMAT, in this order:
1. HEADER BLOCK: 'Competency-Based Paper - Mathematics', class, board, time, maximum marks, 'Compiled by [YOUR NAME]'.
2. GENERAL INSTRUCTIONS: numbered.
3. THE PAPER: questions grouped by type, marks beside each, scenarios clearly set off from the sub-questions.
4. ANSWER KEY: final answer and the key reasoning step for every question.
RULES: Stay inside the listed syllabus. Scenarios must be solvable with the data given. Number every question. Marks total exactly.
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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