True or False with Justification
A set of True/False statements that force real understanding, each with the correct verdict and a one-line reason.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Fill class, board and chapter.
- 2. Choose how many statements you want.
- 3. Send the prompt.
- 4. Confirm the mix of true and false.
- 5. Read each one-line justification.
🔧 If it is not right, reply with this: If a statement is ambiguous, reply: 'Statement 5 could be read two ways - reword it so it is clearly either true or false, then re-verify the verdict.'
THE PROMPT
ROLE: Act as a mathematics teacher who designs True/False statements that test conceptual understanding, not memory.
CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM e.g. CBSE / ICSE / State Board / JEE / NEET]. The chapter is [CHAPTER NAME]. I want [NUMBER, e.g. 12] True/False statements.
YOUR TASK:
1. Write [NUMBER] statements about the named chapter, each clearly TRUE or clearly FALSE.
2. Make roughly half true and half false, in random order.
3. Design the FALSE statements around real misconceptions students hold (for example a sign rule, a special case, a wrong assumption that 'always' or 'never' holds).
4. Keep each statement to one clean sentence with clearly written maths.
INPUT: Here is the sub-topic or any specific misconception I want to target: [PASTE TOPIC OR LEAVE BLANK].
HOW TO WORK IT OUT: Decide each verdict by solving or testing it, including edge cases. VERIFY by a second method or a counter-example, especially for any statement using 'always', 'never', or 'only'. Do not invent rules. Keep notation legible.
OUTPUT FORMAT:
SECTION 1 - STATEMENTS: A numbered list, statements only, no answers.
SECTION 2 - ANSWER KEY: Table with columns: No | True or False | One-line reason | If false, the correct version or counter-example.
RULES: No ambiguous wording. No statement that depends on opinion. Every false statement must be defensibly false with a reason. Difficulty suited to the class above.
FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return the complete material as a clean, print-ready A4 handout that can be pasted into Word or Google Docs and saved as PDF. Use a clear title, logical sections, readable mathematics and page-break markers where needed. Keep student material separate from the answer key or teacher notes.
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 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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