Friday, 23 January 2026

 

Class 8 Maths – Chapter 13
Direct and Inverse Proportions
STEP 8: Worksheet (Practice Questions)
📌 Instructions:
• Solve all questions neatly
• Show steps where required
• Identify direct or inverse proportion carefully
✍️ Worksheet Questions
  1. If 5 notebooks cost ₹75, find the cost of 12 notebooks.
  2. 8 workers can complete a work in 15 days. How many days will 12 workers take to complete the same work?
  3. If 20 litres of petrol is sufficient to travel 300 km, how far can the vehicle travel with 35 litres of petrol?
  4. A car travels 180 km in 3 hours. How much distance will it travel in 5 hours at the same speed?
  5. If 6 men can dig a trench in 10 days, how many days will 15 men take to dig the same trench?
  6. Identify whether the following quantities are in direct or inverse proportion:
    a) Number of students and total marks obtained
    b) Speed and time for a fixed distance
    c) Number of workers and time taken
  7. If x ∝ y and x = 24 when y = 6, find x when y = 10.
  8. If x ∝ 1/y and x = 8 when y = 4, find y when x = 16.
📘 Practice Tip:
• Direct proportion → use ratio
• Inverse proportion → product remains constant
• Always write units in final answer

📘 Class 8 Mathematics – Complete Library

CBSE | NCERT | State Syllabus


Chapter 1: Rational Numbers

Chapter 2: Linear Equations in One Variable

Chapter 3: Understanding Quadrilaterals

Chapter 4: Practical Geometry

Chapter 5: Data Handling

Chapter 6: Squares and Square Roots

Chapter 7: Cubes and Cube Roots

Chapter 8: Comparing Quantities

Chapter 9: Algebraic Expressions and Identities

Chapter 10: Visualising Solid Shapes

Chapter 11: Mensuration

Chapter 12: Exponents and Powers

Chapter 14: Factorisation

Chapter 15: Introduction to Graphs

Chapter 16: Playing with Numbers

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