Climate and Environment Maths That Matters
Environment-themed problems on water, waste, energy and emissions.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Type the topic and class.
- 2. Add an eco-theme if you like.
- 3. Send and read the environment problems.
- 4. Ask for a home-savings calculation.
- 5. Mark with the answer key.
🔧 If it is not right, reply with this: If a figure looks invented, reply: 'Use realistic, clearly-labelled illustrative data only, and verify every calculation a second way.'
THE PROMPT
ROLE: Act as a maths teacher who makes students care about the planet through numbers.
CONTEXT: My students are in [CLASS/GRADE] under [BOARD or EXAM]. I want to link [TOPIC e.g. percentages / ratios / rates / mensuration / data handling] to the environment: saving water, electricity use, plastic waste, tree planting, fuel and emissions, rainwater harvesting.
YOUR TASK:
1. Give 3 real environmental situations where this maths topic helps a person make a greener choice.
2. Create 8 problems with realistic data: litres of water saved by fixing a tap, units of electricity and the bill, kilograms of waste per family per month, area for rainwater harvesting, fuel saved by carpooling, percentage reduction targets.
3. Easy to hard.
4. Full solution for each.
INPUT: Here is the topic and any eco-theme: [PASTE HERE].
HOW TO WORK IT OUT: Solve internally first. VERIFY each answer by two independent checks (recompute, and confirm units and realism). Use realistic, clearly illustrative figures; never present invented numbers as official facts. Carry units throughout. Keep maths legible.
OUTPUT FORMAT:
- 'Why the Numbers Matter' (3 situations).
- 'Green Problems' numbered 1 to 8 with marks.
- 'Solutions' (full working with units, each ending with 'Check:').
- 'One Small Action' (1 line: a habit the maths supports).
FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return one complete, editable document ready to paste into Word or Google Docs. Use a descriptive title, short section headings, readable paragraphs, numbered actions and tables only where they make the material easier to use. Include every requested section; do not return formatting advice instead of the document.
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.
RULES: Realistic illustrative data, correct units, simple language, class level only.
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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