Section A: Short Answer Questions (2-3 marks each)
1. Find the additive inverse of -5/7 and 3/4.
2. Simplify: (2/3) + (5/6) – (1/4)
3. Convert 3.75 into a rational number (p/q form).
4. Multiply and simplify: (4/9) × (3/8)
5. Find the reciprocal of -7/12. Why does zero have no reciprocal?
6. Divide: (5/8) ÷ (15/32)
7. Express 0.242424… as a fraction.
8. Which is greater: 7/9 or 0.75? Justify your answer.
9. Arrange in ascending order: 3/5, 0.6, 7/10
10. A wire of length 3/4 m is cut into 3 equal pieces. What is the length of each?
Section B: Long Answer Questions (5-6 marks each)
11. A tank is filled 5/8 of its capacity. If another 1/4 is added, what fraction is now filled?
12. A ribbon of length 2.5 m is divided into 5 equal parts. Express each part as a fraction & decimal.
13. The sum of two rational numbers is 7/12. If one is 5/8, find the other.
14. A shopkeeper buys 5 kg sugar at ₹27.50/kg and 3 kg rice at ₹43.75/kg. Find total cost.
15. A road is 5.6 km long. A cyclist covers 2/5 in the first hour and 3/10 in the second. Distance left?
16. Find the value of: ((3/5) + (2/3)) × (5/7) – (4/9) ÷ (2/3)
17. Reena had 7.8 liters of milk. She gave 2.65 L to her friend, used 3.25 L for sweets. How much is left?
18. A tank holds 240 L water. A family uses 5/8 daily. How much water is left?
19. A shopkeeper sold 5/9 kg wheat in the morning & 2/3 kg in the evening. Total wheat sold?
20. A farmer has 12.5 acres. He sells 3/5 of it. How much does he own now? Express as fraction & decimal.