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Bihar Board · Class 8 · MathsChapter 12BSEB

Bihar Board Worksheet for Class 8 Maths — Direct and Inverse Proportions

Explore the concepts of direct and inverse proportions with practical examples and problems.

Free AI-powered worksheet for BSEB Maths, Class 8, Chapter 12.

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Indian context — what this NCERT chapter centres on

Class 8 Maths Chapter 12 (Direct and Inverse Proportions) is taught through these India-specific anchors in the NCERT textbook. The worksheet above is pre-loaded with these so the output reflects the way the chapter is actually taught in Indian classrooms.

  • Price of essential commodities during festivals
  • Speed and distance in Indian Railways
  • Water consumption in agriculture vs. crop yield
  • Population growth and resource allocation in Indian cities

Key terms — Class 8 Maths (Direct and Inverse Proportions)

DIRECT PROPORTIONINVERSE PROPORTIONRATIOVARIABLEPROPORTIONALITY

Teaching tips for Direct and Inverse Proportions

  • 1Use examples of local market prices to illustrate direct proportion, such as the relationship between the quantity of vegetables bought and their total cost.
  • 2Incorporate real-life scenarios like the relationship between the number of hours studied and marks obtained in exams, using local educational contexts.
  • 3Discuss inverse proportion through examples of traffic flow and congestion in Indian cities, relating it to time taken for travel.

Board exam relevance

Questions may include MCQs on definitions, short answer questions on solving problems related to direct and inverse proportions, and numerical problems requiring calculations based on given scenarios.

What to expect in this worksheet

A balanced 10-question Maths worksheet on Direct and Inverse Proportions for Class 8 — mixed difficulty, NCERT-aligned, ready to print or share on WhatsApp.

Easy (40%)

Recall-and-recognise questions that anchor the chapter's key terms.

Standard (40%)

Apply the concept to a new but familiar context.

Challenge (20%)

Higher-order thinking questions in the style of CBSE board exams.

Frequently asked questions

What does this Class 8 Maths worksheet on Direct and Inverse Proportions cover?+

It covers the core ideas of NCERT Class 8 Maths Chapter 12 (Direct and Inverse Proportions) — mixed-difficulty questions from recall to higher-order thinking.

Is the worksheet printable?+

Yes — use the Copy / PDF download once you generate. The output is plain text that pastes cleanly into Word, Pages or Google Docs.

Can I get an answer key?+

Add "Include answer key" in the optional fields before generating. The tool will produce questions and a separate answers block.

Is it free?+

Yes — every IndiaProAI tool is free to use. Sign in once with Google to generate.

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