Class 8 NCERT • Ganita Prakash Part 1 Portal (New Syllabus)
Ch 07: Proportional Reasoning-1
Select a topic or study module below to explore similarity in change, ratios in simplest form, cross-multiplication proportions, recipe scaling, unequal sharing, ancient mathematical rules, and step-by-step textbook solutions.
Topic 01 • Similarity in Change
Investigating Resized Images, Scale Factors and Visual Distortion vs. Proportional Fidelity
Topic 02 • Ratios & Simplest Form
Comparing Quantities, Finding HCF and Expressing Ratios in Simplest Terms
Topic 03 • Proportions
Testing Ratio Equality, Cross-Multiplication Rules & True Proportional Statements
Topic 04 • Proportional Problem Solving
Real-World Word Problems, Scaling Recipes and Travel Distance Calculations
Topic 05 • Unequal Sharing
Dividing Quantities into Given Ratios, Part-to-Whole Relations & Acid-Water Mixtures
Topic 06 • Unit Conversions & Density
Using Proportions for Physical Quantities & Mass-to-Volume Relations Like Gold and Water
Topic 07 • Historical Methods
Exploring Traditional Techniques Like the Rule of Three (Pramāṇa, Phala, Ichchhā)
Module 08 • Solutions & Quiz