Questions from Class 8 Mathematics Chapter 7 Proportional Reasoning-1 come up often in the CBSE Class 8 exam. These class 8 maths handwritten notes chapter 7 Proportional Reasoning-1 follow the 2026-27 NCERT and cover similar images and proportional change, ratios and their terms, ratios in simplest form using hcf. This page hosts the notes PDF, key terms, and.
- CBSE Class 8 Weightage: a scoring chapter in the Mathematics paper, asked in short and long answers.
- What the notes cover: similar images and proportional change, ratios and their terms, ratios in simplest form using hcf, when two ratios are in proportion.
- Best for: quick revision before Class 8 exams and a strong base for Class 9.
You can read the complete class 8 maths handwritten notes for Proportional Reasoning-1, with key terms, boxed definitions, and quick revision points, in the PDF below.
These handwritten notes are written by subject teachers, mapped to the 2026-27 NCERT, and checked against the last five years of CBSE Class 8 Mathematics papers.
What the Proportional Reasoning-1 Handwritten Notes Cover
This chapter is about ratios and proportional reasoning. You learn when two quantities change in the same way, how to write and simplify ratios, and how to use proportion and cross multiplication to solve real problems.
- Similar images and proportional change
- Ratios and their terms
- Ratios in simplest form using HCF
- When two ratios are in proportion
- Problem solving with proportional reasoning
- Cross multiplication of a proportion
- The rule of three
- Sharing a quantity in a given ratio
- Unit conversions using ratios
Proportional Reasoning-1 Topic-wise Weightage for CBSE Class 8 Mathematics
Some parts of this chapter are asked more often than others. The table below shows which sub-topics to revise first, based on recent CBSE Class 8 question trends.
| Sub-topic | Weightage | CBSE Frequency |
|---|---|---|
| Ratios and their simplest form | High | asked often |
| Proportion and cross multiplication | High | asked often |
| The rule of three problems | High | asked often |
| Sharing a quantity in a given ratio | Medium | asked sometimes |
| Similar figures and proportional change | Medium | asked sometimes |
| Unit conversions | Low | asked rarely |
Key Terms and Ideas in Proportional Reasoning-1
These are the terms and ideas the exam asks about most. Learn each one so you can define it and use it in your answers.
| Term / Idea | What it means |
|---|---|
| Ratio | a way to compare two quantities, written as a : b |
| Terms of a ratio | the two numbers a and b in the ratio a : b |
| Simplest form | a ratio divided by the HCF of its terms, like 60 : 40 becoming 3 : 2 |
| Proportional | two ratios are in proportion when their simplest forms are equal |
| Proportion symbol | a : b :: c : d means the ratios a : b and c : d are proportional |
| Cross multiplication | if a : b :: c : d then ad equals bc |
| Rule of three | given three of four proportional quantities, find the fourth |
| Sharing in a ratio m : n | split the whole into m plus n equal groups and give m and n groups |
| Unit conversion | changing a measure from one unit to another using a fixed rate |
How Collegedunia's Handwritten Notes Help You Revise Proportional Reasoning-1
These notes are made for the night before the exam. They keep the facts short and easy to scan. Collegedunia maps every point to the 2026-27 NCERT.
- Clear handwriting: each topic is written in neat, easy-to-read handwriting.
- Boxed key terms: the main terms and definitions are boxed by hand for fast recall.
- Diagrams and tables: simple hand-drawn tables and charts make ideas clear.
- Colour-coded headings: new sub-topics stand out, so you find any section in seconds.
Proportional Reasoning-1 Self-Assessment Quiz
Try these quick questions after you read the notes. Tap each question to check your answer. They cover the points CBSE asks most often.
The simplest form of the ratio 60 : 40 is
(a) 6 : 4 (b) 3 : 2 (c) 2 : 3 (d) 30 : 20
Answer: (b) 3 : 2 - divide both terms by the HCF 20
Two ratios are in proportion when
(a) their first terms match (b) their simplest forms are equal (c) their sums are equal (d) their terms differ by the same amount
Answer: (b) their simplest forms are equal - that is what proportional means
If a : b :: c : d then
(a) a plus d equals b plus c (b) ad equals bc (c) ac equals bd (d) a equals c
Answer: (b) ad equals bc - this is cross multiplication
Is 3 : 4 proportional to 72 : 96?
(a) yes, both simplify to 3 : 4 (b) no (c) only if you add 4 (d) cannot tell
Answer: (a) yes, both simplify to 3 : 4 - 72 : 96 divides by 24
Sharing 42 counters in the ratio 4 : 3 gives
(a) 20 and 22 (b) 24 and 18 (c) 21 and 21 (d) 28 and 14
Answer: (b) 24 and 18 - split into 7 groups of 6, then take 4 and 3 groups
For the same sweetness, 6 glasses need 10 spoons of sugar, so 18 glasses need
(a) 20 spoons (b) 30 spoons (c) 15 spoons (d) 36 spoons
Answer: (b) 30 spoons - the number of glasses is multiplied by 3, so multiply sugar by 3
How to Use These Handwritten Notes for Class 8 Mathematics Revision
Use these class 8 maths handwritten notes in two passes. Read them slowly once for the full chapter. Then, near the exam, read only the boxes and key terms for a fast recall.
- Read the notes once with the NCERT chapter open beside you.
- Say each key term and idea in your own words.
- Practise one long-answer question from a past paper.
- On the last day, revise only the key terms and the boxes.
Class 8 Mathematics Handwritten Notes for All Chapters
The table below links the class 8 maths handwritten notes for every chapter. Use it to jump to any other chapter's notes.
| Chapter | Resource |
|---|---|
| Chapter 1 | A Square and A Cube Handwritten Notes |
| Chapter 2 | Power Play Handwritten Notes |
| Chapter 3 | A Story of Numbers Handwritten Notes |
| Chapter 4 | Quadrilaterals Handwritten Notes |
| Chapter 5 | Number Play Handwritten Notes |
| Chapter 6 | We Distribute, Yet Things Multiply Handwritten Notes |
| Chapter 7 | Proportional Reasoning-1 Handwritten Notes |
Proportional Reasoning-1 Class 8 Mathematics Handwritten Notes FAQs
Ques. Where can I download Proportional Reasoning-1 Class 8 Mathematics Handwritten Notes PDF?
Ans. You can download the Proportional Reasoning-1 Class 8 Mathematics Handwritten Notes PDF directly from this page. Both the Normal and HD versions are free.
Ques. Are these handwritten notes aligned with the 2026-27 NCERT?
Ans. Yes. These notes follow the current 2026-27 syllabus for Class 8 Mathematics. How to tell whether two ratios are proportional.
Ques. How many pages is the Class 8 Mathematics Proportional Reasoning-1 Handwritten Notes PDF?
Ans. The notes run about 20 pages. They cover the full chapter with key terms, hand-drawn boxes, and a short self-assessment quiz.
Ques. What is the main idea of the 8th standard Mathematics chapter Proportional Reasoning-1?
Ans. The chapter teaches you to compare quantities using ratios and to reduce them to their simplest form. It shows how proportion and cross multiplication solve rule of three problems and how a whole can be shared in a given ratio.
Ques. Are these Proportional Reasoning-1 notes enough for the CBSE Class 8 exam?
Ans. Yes, for revision. The Collegedunia handwritten notes cover every key point and exam term. Read them with the NCERT chapter and practise past questions.
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