The NCERT Solutions for Class 8 Mathematics Part 1 Chapter 7 cover Proportional Reasoning-1 from the 2026-27 Ganita Prakash textbook. Students can download the PDF for step-by-step answers on ratios, proportional statements, cross multiplication, sharing in a ratio and unit conversions.
- Resource: Class 8 Maths Part 1 Chapter 7 NCERT Solutions PDF.
- Chapter focus: ratios, proportion, equivalent ratios, Rule of Three and sharing.
- Question type: Figure it Out, Math Talk and proportional-reasoning answers.
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Student Feedback: These solutions help students compare ratios with factors instead of only looking at differences.
In This Article
Chapter 7 Solutions Overview
Class 8 Mathematics Part 1 Chapter 7 introduces proportional reasoning through digital images, coffee mixtures, wall patterns, sharing, speed, market prices and unit conversions. The PDF solves every Figure it Out question with clear ratio setup and final answer checks.
The main habit is to compare multiplication factors, not simple differences. Two ratios are proportional only when their simplified forms match or when their cross products are equal.
Important Methods in Proportional Reasoning-1
The chapter uses simplest form, cross multiplication, unit conversion and part sharing. These methods help students solve real-life problems involving mixtures, maps, prices, age ratios and land area.
- Reduce a : b and c : d before deciding if they are proportional.
- Use ad = bc for a : b :: c : d.
- For sharing x in m : n, first divide x by m + n.
- Convert units before setting up a proportion.
Class 8 Maths Chapter 7 Ratio and Proportion Video Lesson
Source: Magnet Brains on YouTube
All NCERT Solutions for Class 8 Mathematics Part 1 Chapter 7 Proportional Reasoning-1 with Step-by-Step Solutions
The complete solution PDF covers 26 prompts from the chapter. Use the question-card page for quick checking after solving the PDF questions independently.
Practice with expandable question cards
Open the chapter questions with Check Solution and Expert Solution tabs.
Class 8 Maths Part 1 Chapter 7 Resource Links
Use these related resources when you want the same chapter in another format.
| Resource | Best use | Link |
|---|---|---|
| NCERT Solutions | Step-by-step answers for chapter prompts | Open solutions |
| Notes | Concept summary and quick revision | Open notes |
| Handwritten Notes | Fast visual revision before class tests | Open handwritten notes |
| NCERT Book PDF | Official textbook chapter | Open book PDF |
All NCERT Solutions for Class 8 Mathematics Part 1 Chapters
| Chapter | Title | Solutions link |
|---|---|---|
| Chapter 1 | A Square and A Cube | NCERT Solutions Chapter 1 |
| Chapter 2 | Power Play | NCERT Solutions Chapter 2 |
| Chapter 3 | A Story of Numbers | NCERT Solutions Chapter 3 |
| Chapter 4 | Quadrilaterals | NCERT Solutions Chapter 4 |
| Chapter 5 | Number Play | NCERT Solutions Chapter 5 |
| Chapter 6 | We Distribute, Yet Things Multiply | NCERT Solutions Chapter 6 |
| Chapter 7 | Proportional Reasoning-1 | NCERT Solutions Chapter 7 |
Proportional Reasoning-1 Class 8 Maths NCERT Solutions FAQs
Ques. What does Class 8 Maths Chapter 7 Proportional Reasoning-1 explain?
Ans. It explains ratios, proportion, cross multiplication, sharing in a ratio and unit conversion.
Ques. How do we check if two ratios are proportional?
Ans. Reduce both ratios to simplest form or check whether their cross products are equal.
Ques. Does the PDF follow the 2026-27 NCERT textbook?
Ans. Yes. The solutions follow the 2026-27 Ganita Prakash Class 8 Mathematics Part 1 chapter.
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