Class 8 Maths – Chapter 13
Direct and Inverse Proportions
STEP 6: Important Exam Questions

🔹 Very Short Answer (VSA – 1 Mark)

1. Define direct proportion.
2. Define inverse proportion.
3. Write the relation between two directly proportional quantities.
4. If x ∝ y, what happens to y when x is doubled?
5. Write the formula used in inverse proportion problems.

🔹 Short Answer (SA – 2/3 Marks)

1. State two real-life examples of direct proportion.
2. State two real-life examples of inverse proportion.
3. If 5 books cost ₹150, find the cost of 9 books.
4. 8 men can complete a work in 15 days. How long will 12 men take?
5. Explain why speed and time are inversely proportional.

🔹 Long Answer (LA – 5 Marks)

1. The cost of 12 chairs is ₹5400. Find the cost of 18 chairs.
   (Assume cost varies directly with number of chairs.)
2. 15 workers can build a wall in 20 days. How many workers are required to build the same wall in 12 days?
3. A car covers 360 km in 6 hours. How far will it travel in 10 hours at the same speed?

📌 Examiner’s Tip:
• Identify whether the situation is Direct or Inverse proportion
• Write the formula clearly
• Show all steps neatly
• Final answer must be boxed