Class 8 Maths Chapter 13 Solutions – Direct and Indirect Proportion | SCERT Assam | English Medium

Class 8 Mathematics Chapter 13 – Direct and Indirect Proportion – All Textual Solutions | ASSEB Assam (English Medium)

Class 8 Mathematics Chapter 13 – Direct and Indirect Proportion Complete Textual Questions, Answers, and Solutions (ASSEB / SEBA Assam – English Medium)

Chapter 13, ‘Direct and Indirect Proportion’ (also known as Direct and Inverse Variations), is a highly practical arithmetic chapter in the Class 8 Mathematics curriculum. These complete textual solutions (Class 8 Maths Chapter 13 Textual Question Answers) have been carefully prepared according to the latest syllabus guidelines of the new ASSEB (Assam State School Education Board) and the National Education Policy (NEP). This comprehensive guide includes step-by-step solutions to all textbook exercises, real-world word problems, unitary method applications, and objective-type questions. Brought to you by Ospin Academy, these solutions are designed to be accurate, easy to understand, and fully exam-oriented.

In this chapter, students explore how two quantities depend on each other. In a Direct Proportion, as one quantity increases, the other increases at a constant ratio ($\frac{x}{y} = k$). Conversely, in an Indirect (Inverse) Proportion, as one quantity increases, the other decreases such that their product remains constant ($x \times y = k$). Mastering these concepts is vital for solving real-life problems related to time and work, speed and distance, and resource allocation. Our textual solutions provide clear, step-by-step calculations and table formulations for all textbook problems, along with extra practice questions and MCQs to ensure students are fully prepared for their school examinations.

What you will learn and get from these Textual Solutions:

  • Clear methods to identify whether a given situation represents direct or indirect variation.
  • Step-by-step table formulation techniques to organize data clearly before solving.
  • Application of the direct proportion formula: $\frac{x_1}{y_1} = \frac{x_2}{y_2}$.
  • Application of the indirect (inverse) proportion formula: $x_1 \times y_1 = x_2 \times y_2$.
  • Important extra variation word problems and latest pattern MCQs designed according to the new syllabus structure.

Key Features of Ospin Academy’s Solutions:

  • Fully updated solutions based on the latest ASSEB/SEBA new syllabus guidelines.
  • 100% accurate, simplified, and logical step-by-step calculations that make word problems easy to understand.
  • Excellent quick-revision study material (Class 8 Maths Notes) containing practical tips on setting up ratios.
  • Special focus on highly scoring exam topics like ‘time and work’ and ‘speed, distance, and time’.

Ospin Academy is dedicated to supporting students in their academic journey. Start your preparation today with our simplified textbook solutions and aim for the highest marks in your Class 8 Mathematics examinations.

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Chapter 13 – Direct and Indirect Proportion
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Note – If you find any mistakes in this chapter, please let us know or correct them yourself while reading. Thank you!
Class 8 Mathematics Chapter 13 (Direct and Indirect Proportion) – Frequently Asked Questions (FAQs)
What is a direct proportion?
Two quantities ‘x’ and ‘y’ are in direct proportion if they increase or decrease together in such a way that the ratio of their corresponding values remains constant. That is, x / y = k (a constant).
What is an indirect (inverse) proportion?
Two quantities ‘x’ and ‘y’ are in indirect or inverse proportion if an increase in ‘x’ causes a proportional decrease in ‘y’, such that the product of their corresponding values remains constant. That is, x × y = k (a constant).
Are these solutions based on the new syllabus?
Yes, all the solutions provided here are strictly prepared according to the latest ASSEB (formerly SEBA) new syllabus guidelines and textbook updates.
How can I download the PDF notes for this chapter?
You can easily access free chapter-wise PDFs, revision notes, and previous question papers by downloading the EduAssam Solution App via the link provided above.

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