Proportional Reasoning-2 NCERT Solutions for Class 8 Mathematics Part 2 Chapter 3 cover all major Figure it Out questions from the 2026-27 NCERT book. The PDF gives step-by-step answers for multi-term ratios, pie chart angles, inverse proportion tables, work-time problems, and speed-time questions.
- 22 solved questions with Solution and Expert Solution blocks.
- Best for revision: ratio division, pie charts, constant products, and unit-rate checks.
- Prepared from official NCERT: Class 8 Ganita Prakash Part 2 Chapter 3.
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Each Class 8 Mathematics Part 2 Chapter 3 solution is matched with the official NCERT question and checked for the 2026-27 syllabus.
Proportional Reasoning-2 Class 8 Solutions PDF Highlights
The chapter teaches students to decide whether a total, a quotient, or a product stays fixed. The solutions use this first decision before doing any arithmetic.
- Ratio division: add parts, find one part, then scale each term.
- Pie charts: convert each share to an angle out of 360 degrees.
- Inverse proportion: keep the product constant.
Proportional Reasoning-2 Class 8 Video
Source: YouTube
Ratio Method Used in Proportional Reasoning-2 Solutions
For a fixed total, the sum of ratio terms becomes the divisor. If 150 minutes are divided in the ratio 3 : 4 : 3 : 5, each part is 10 minutes.
Inverse Proportion and Pie Chart Checks
For inverse proportion, products such as workers times days or machines times days remain fixed. For pie charts, every central angle is the part divided by the whole, multiplied by 360 degrees.
Proportional Reasoning-2 Exercise Coverage
| Section | What students practise |
|---|---|
| Multi-term ratios | Dividing a quantity among several parts and reading scale factors. |
| Pie charts | Finding sector angles from counts or percentages. |
| Inverse proportion | Constant product tables, work-time problems, and speed-time questions. |
Student Feedback on Proportional Reasoning-2 Solutions
What 9,840 students told us about this ratio chapter: most mistakes happened when students used direct proportion in worker-day and speed-time questions.
Source: 2026-27 Class 8 Mathematics student poll. Sample of 9,840 students from CBSE schools across India.
Class 8 Mathematics Part 2 Related Resources
| Resource | Use |
|---|---|
| Proportional Reasoning-2 Notes | Revise concepts before solving the PDF. |
| Proportional Reasoning-2 NCERT Book PDF | Read the official textbook chapter. |
| Proportional Reasoning-2 Handwritten Notes | Use quick notes for last-day revision. |
All Class 8 Mathematics Part 2 NCERT Solutions Chapters
| Chapter | NCERT Solutions |
|---|---|
| Chapter 1 | Fractions in Disguise NCERT Solutions |
| Chapter 2 | The Baudhayana-Pythagoras Theorem NCERT Solutions |
| Chapter 3 | Proportional Reasoning-2 NCERT Solutions |
All NCERT Solutions for Class 8 Mathematics Chapter 3 Proportional Reasoning-2 with Step-by-Step Solutions
All solved questions are available in the companion question set. Use it to open one question at a time and compare the regular solution with the expert solution.
- Check Solution: direct working and final answer.
- Expert Solution: a second route with explanation.
- MathJax support: ratios, fractions, and formulas render cleanly.
| Question Set | Open |
|---|---|
| Proportional Reasoning-2 all solved questions | Open question-wise NCERT Solutions |
Proportional Reasoning-2 Class 8 Mathematics NCERT Solutions FAQs
Ques. What is the main idea in Proportional Reasoning-2?
Ans. The main idea is to decide what remains fixed: a ratio, a total, or a product.
Ques. How many questions are solved in this PDF?
Ans. The PDF solves the major Figure it Out questions from Chapter 3 with step-by-step working.
Ques. What formula is used for pie chart angles?
Ans. Use angle equals part divided by whole, multiplied by 360 degrees.
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