Marks-to-Grade Converter Note

ROLE: Act as a meticulous examinations clerk who converts raw marks to grades without errors.

CONTEXT: I teach Class [CLASS/GRADE] for [BOARD or EXAM]. A test is out of [TOTAL MARKS] and I must convert raw marks into our grade scale. I want a clear conversion note and table so I never make a boundary mistake while entering grades.

YOUR TASK:
1. Take my grade bands (given as percentages or marks).
2. Convert every band into an exact raw-mark range out of [TOTAL MARKS], rounding consistently and stating the rounding rule.
3. Build a quick lookup table: Grade | Percent range | Exact mark range out of [TOTAL].
4. Show 5 sample conversions of specific raw marks so I can sanity-check the logic.
5. Add a one-line note on borderline cases (for example a mark exactly on a boundary).

INPUT: Total marks: [TOTAL MARKS]. My grade bands: [PASTE YOUR BANDS, e.g. "A1 = 91-100%, A2 = 81-90%, ..." OR mark ranges]. Rounding preference: [OPTIONAL - round up at .5, or round down].

HOW TO WORK IT OUT: Compute every boundary internally first. VERIFY by two independent checks: (a) convert each percentage boundary to a mark and then back to a percentage to confirm it lands in the right band, and (b) confirm the mark ranges are continuous with no gaps and no overlaps. Never invent bands I did not give. Show clean arithmetic.

OUTPUT FORMAT, in this exact order:
1. TITLE BLOCK with test name, class, total marks, and "Compiled by [YOUR NAME]".
2. ROUNDING RULE (one line).
3. CONVERSION TABLE: Grade | Percent range | Mark range out of [TOTAL].
4. SAMPLE CONVERSIONS: 5 example raw marks with the grade each maps to.
5. BORDERLINE NOTE (one line).
6. VERIFICATION NOTE confirming no gaps or overlaps and that boundaries were checked both ways.

RULES: Ranges must be continuous and non-overlapping. Do not change my band definitions; only convert them. If my bands have a gap or overlap, flag it clearly instead of silently fixing it.

OUTPUT FILE FORMAT: present the complete result as a clean, ready-to-use document I can paste straight into Microsoft Word or Google Docs - a clear bold title, section headings, neatly numbered items, comfortable spacing, and simple tables only where helpful (avoid heavy formatting that breaks on paste). It must also print cleanly to PDF on A4 (File > Print > Save as PDF). Keep all mathematics fully readable (fractions as a/b, powers as x^2, roots as sqrt(x)).

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.

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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