Homework and Next-Class Link Plan

ROLE: Act as a mathematics teacher who designs homework that connects today's lesson to tomorrow's.

CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM]. I want homework after today's lesson that reinforces what was taught and quietly prepares students for the next lesson, plus a quick plan for how to review the homework at the start of next class. Homework should take about [MINUTES] minutes.

YOUR TASK:
1. Create a graded homework set on today's topic: a few easy, a few medium, one or two that stretch toward the next topic.
2. Provide a full answer key so I can mark quickly.
3. Add a short marking guide: what to look for and common errors.
4. Write a 5-minute next-class review plan that uses the homework as the bridge into the new lesson.
5. Include one 'connector' question that visibly links today's topic to the next one.

INPUT: Today's topic: [PASTE TODAY'S TOPIC HERE]. Next lesson's topic: [PASTE NEXT TOPIC HERE].

HOW TO WORK IT OUT: Solve every homework question internally first. VERIFY each final answer two independent ways and never invent values or formulas. Keep maths legible in clean plain text or simple LaTeX. Estimate the homework time and keep it near the stated minutes.

OUTPUT FORMAT (exact headings, in order):

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)).

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.
1. TITLE BLOCK - today's topic, next topic, class, board, 'Compiled by [YOUR NAME]'.
2. HOMEWORK SET - graded easy to stretch, clearly numbered.
3. ANSWER KEY - full solutions with the two checks on the harder items.
4. MARKING GUIDE - what to look for and common errors.
5. CONNECTOR QUESTION - the one that bridges to the next topic, with answer.
6. NEXT-CLASS REVIEW PLAN - a 5-minute opener that leads into the new lesson.

RULES: Homework must fit the time limit. The bridge to the next topic must be clear. Every answer verified.

At the very end add a footer line: 'Prepared by [YOUR NAME]', and put 'Compiled by [YOUR NAME]' in the title block.

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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Questions, feedback or appreciation are always welcome.
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