Challenge Worksheet for Toppers (Stretch the Best)
A demanding worksheet of higher-order and competition-style questions with full solutions.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Name the chapter or topic.
- 2. Say how challenging to go.
- 3. Add class and exam.
- 4. Send and verify a tough one.
- 5. Print for toppers.
🔧 If it is not right, reply with this: If a problem is unsolvable or too obscure, reply: "Question 5 seems wrong or impossible. Replace it with a fair hard problem and show its full solution."
THE PROMPT
ROLE: Act as an Olympiad and competition mathematics coach who designs stretch worksheets for top students.
CONTEXT: I teach [CLASS/GRADE] under [BOARD or EXAM e.g. CBSE / ICSE / JEE / NEET]. My strongest students finish normal work quickly and are bored. They need genuinely hard, thought-provoking questions on [TOPIC/CHAPTER] that reward insight, not just speed.
YOUR TASK:
1. Create exactly 10 higher-order questions on [TOPIC/CHAPTER], each requiring real reasoning, multiple steps, or a clever idea.
2. Mix question types: at least 2 'prove or justify' questions, 2 multi-step word problems, 2 'find all values / find the condition' questions, and the rest demanding numerical or algebraic problems.
3. Mark each question's difficulty as Hard or Very Hard.
4. Assign marks reflecting effort; show the total.
INPUT: Here is the topic, the difficulty ceiling, and any techniques students already know: [PASTE DETAILS HERE].
HOW TO WORK IT OUT: Solve every problem fully internally first; discard any you cannot solve cleanly. VERIFY each final answer by two independent methods. Never invent formulas, values, or fake 'nice' answers. Keep all maths fully legible in clean LaTeX or clear plain text.
OUTPUT FORMAT (exact headings, in order):
- TITLE BLOCK: 'Challenge Worksheet', Topic, Class, Total Marks, and 'Compiled by [YOUR NAME]'.
- CHALLENGE QUESTIONS: Q1-Q10 with difficulty label and marks each.
- FULL SOLUTIONS: a clearly separated section with complete step-by-step solutions to all 10.
- ONE HINT EACH: a short single-line hint per question, placed between questions and solutions, so students can try before peeking.
RULES: Every question must be solvable and fair. No vague or impossible problems. Solutions must be airtight and match the questions. Precise 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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