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NCERT Solutions
Class 8
Maths
Chapter 7 Proportional Reasoning 1
Exercise 7.1

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.1

Mastering the relationship between varying quantities is simple with our NCERT Solutions for Class 8 Maths Ch 7: Proportional Reasoning – Exercise 7.1. This exercise introduces the concept of Direct Proportion, where two quantities increase or decrease together such that their ratio remains constant.

Class 8 Math Lessons (Ch 7): Learn to Solve Ratio and Proportion Problems with Ease! The solutions to Exercise 7.1 will be presented in a step-by-step approach to help students understand the formula y1​x1​​=y2​x2​​. These solutions follow CBSE Guidelines to help you improve speed and accuracy in real-world applications like unit conversion, mapping, and fuel consumption.

1.0Download NCERT Solutions for Class 8 Maths Chapter 7 Ex 7.1 : Free PDF

Our easy-to-follow NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.1 are available for download as a PDF. Perfect for offline study and quick reference.

NCERT Solutions Class 8 Maths Chapter 7 Ex 7.1

Download PDF

2.0Key Concepts of Chapter 7 Proportional Reasoning 1 Exercise 7.1

  • Understanding Direct Proportion: Two quantities x and y are in direct proportion if they increase or decrease together in such a way that yx​ remains constant (k).
  • The Constant of Variation (k): The fixed ratio between two proportional quantities.
  • Unitary Method vs. Proportion Method: While the unitary method finds the value of one unit, the proportion method uses the cross-multiplication of ratios.
  • Real-world Examples:
  • The more kilometers a car travels, the more petrol it consumes.
  • The more hours you work at a fixed rate, the more salary you earn.

3.0NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 : All Exercises

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.1

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.2

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.3

NCERT Solutions for Class 8 Maths Chapter 7 Proportional Reasoning 1 - Exercise 7.4

4.0Benefits of NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.1

  • Conceptual Clarity: Clearly explains how to identify if two variables are moving in the same direction.
  • Calculation Speed: Teaches simplification techniques before multiplication to handle large numbers.
  • Exam-Oriented: Focuses on conversion errors (like km/h to m/s) which are common in tests.

NCERT Class 8 Maths Ch. 7 Proportional Reasoning Other Exercises:-

Exercise 7.1

Exercise 7.2

Exercise 7.3

Exercise 7.4


NCERT Solutions Class 8 Maths All Chapters:-

Chapter 1 - A Square and a Cube

Chapter 2 - Power play

Chapter 3 - A story of Numbers

Chapter 4 - Quadrilaterals

Chapter 5 - Number Play

Chapter 6 - We distribute, yet things multiply

Chapter 7 - Proportional Reasoning

Frequently Asked Questions

Ask yourself: "If I increase one value, will the other also increase?" If the answer is yes, and they change by the same factor, it is direct proportion.

In proportion, the ratios must be compared using the same units. You cannot compare "minutes" on one side with "hours" on the other; they must both be the same for the constant k to be accurate.

Only if the straight line passes through the origin (0,0). This means if one quantity is zero, the other must also be zero.

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