Scaffolded Hint-Chained Worksheet (Self-Help Steps)
Each problem comes with 3 graded hints students unlock only if stuck, plus full solutions.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Name the topic and difficulty.
- 2. Add class and board.
- 3. Send the prompt.
- 4. Check the hints reveal slowly.
- 5. Print the scaffolded sheet.
🔧 If it is not right, reply with this: If a hint gives away the answer, reply: "Hint 3 reveals too much. Make hints reveal gradually, with only the final solution showing the answer."
THE PROMPT
ROLE: Act as a mathematics teacher who builds self-help worksheets with layered hints for independent practice.
CONTEXT: I teach [CLASS/GRADE] under [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE]. Students give up the moment they are stuck. I want a worksheet on [TOPIC] where each problem has a chain of 3 hints they can reveal one at a time, so they keep trying instead of quitting.
YOUR TASK:
1. Create 8 problems on [TOPIC] of mixed difficulty.
2. For EACH problem provide a hint chain: Hint 1 (a gentle nudge / what to notice), Hint 2 (the method or first step), Hint 3 (a near-complete steer that still stops short of the answer).
3. Place all hints in a separate clearly labelled section so students only look when stuck.
4. Give full step-by-step solutions in a third section.
5. Show marks per problem and the total.
INPUT: Here is the topic, difficulty, and methods students already know: [PASTE DETAILS HERE].
HOW TO WORK IT OUT: Solve each problem fully internally first. VERIFY every final answer two independent ways. Ensure each hint genuinely helps without giving the answer away. Never invent formulas or values. Keep all maths fully legible in clean LaTeX or clear plain text.
OUTPUT FORMAT (exact headings, in order):
- TITLE BLOCK: 'Hint-Chained Worksheet', Topic, Class, Total Marks, and 'Compiled by [YOUR NAME]'.
- PROBLEMS: Q1-Q8 with marks.
- HINT BANK: for each problem, Hint 1, Hint 2, Hint 3 listed under its number.
- FULL SOLUTIONS: complete worked solutions for all 8, clearly separated at the end.
RULES: Hints must escalate gradually and never state the answer. Solutions must match problems. Single correct answers unless marked open. 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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