Class 8 Math: Direct and Inverse Proportions Solved Examples & Step Solutions
NexPro Tools Mathematics TeamJune 5, 20266 min read
The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 8 Direct and Inverse Proportions.
Step-by-Step Solved Problems
Example 1: Inverse Proportion Solver
Question: If 12 workers can build a wall in 30 hours, how many hours will 18 workers take?
Worked Solution Steps:
- Determine relation: More workers means less time (Inverse Proportion).
- Apply formula: x₁ * y₁ = x₂ * y₂.
- Substitute: 12 * 30 = 18 * y₂ => 360 = 18 * y₂.
- Divide: y₂ = 360 / 18 = 20 hours.
Final Answer: 20 hours
Self-Practice Method
When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.
📚 Class 8 Math Resource Hub for Direct and Inverse Proportions:
• 🧮 Interactive Solver: Solve Direct and Inverse Proportions Problems - Verify steps in real-time.
• 📝 Timed Practice Quiz: Take Direct and Inverse Proportions Online Quiz - Test your speed and concepts.
• 📄 Printable Worksheet: Download Direct and Inverse Proportions PDF Worksheet - Interactive problems with answers.
• 📐 Formula Sheet: View Direct and Inverse Proportions Key Equations - Complete revision references.
• 🔄 Next Topic Guide: Factorisation Study Notes
• 🎓 Syllabus Overview: Class 8 Mathematics Portal - Access all chapter guides.