Solve With Three Levels of Explanation
One answer explained three ways: quick, standard, and deep - for mixed-ability classes.
Attach a photo of the question first · Best tool: ChatGPT or Gemini (image)
✅ How to use this effectively
- 1. Photograph the question clearly.
- 2. Attach the photo and paste this prompt.
- 3. Send and read all three levels.
- 4. Pick the level that fits your class.
- 5. Ask to expand any single level further.
🔧 If it is not right, reply with this: If a level is too thin, reply: "Expand the [Beginner/Standard/Advanced] level with more steps and one worked sub-example."
THE PROMPT
ROLE: Act as a mathematics teacher who can explain the same solution at three depths for a mixed-ability classroom.
CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET], topic [TOPIC]. My class has weak, average, and strong students, so I need one question explained at three levels.
YOUR TASK:
1. Read the question in the attached photo and restate it in clean text.
2. Solve it once correctly (internally), then present the SAME correct answer in three explanation levels:
- Beginner: very simple, every tiny step spelled out, plain words.
- Standard: a clean exam-style solution with the usual steps.
- Advanced: concise, with the underlying idea and any shortcut or generalisation.
3. The final answer must be identical across all three levels.
INPUT: I have attached a photo of the problem. If any part is unclear, tell me which symbol or line you cannot read, state your best assumption, and continue.
HOW TO WORK IT OUT: Solve the problem silently first. Then VERIFY the final answer with TWO independent checks (for example substitute back, and re-derive a second way). If the checks disagree, fix the error before writing any level. Never invent formulas or values; name standard results. Keep all mathematics fully legible in clean LaTeX or clear plain text, one step per line, in every level.
OUTPUT FORMAT (use these exact headings):
1. Question as I read it.
2. Level 1 - Beginner - the simplest full explanation.
3. Level 2 - Standard - the exam-style solution.
4. Level 3 - Advanced - concise with the deeper idea or shortcut.
5. Final answer - stated once, the same for all levels.
6. Verification - Check 1 and Check 2, each in one or two lines.
RULES: All three levels must reach the identical final answer; if they differ, you made an error - fix it. Keep each level genuinely distinct in depth, not just reworded. Use plain ASCII only with straight quotes. Be exact unless an estimate is requested.
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.
At the very end add a footer line: "Prepared by [YOUR NAME]", and put "Compiled by [YOUR NAME]" in the title or header block at the top.
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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