1. What is the HCF of 72 and 96?
2. Kesang made 6 glasses of lemonade using 10 spoons of sugar. If she needs to make 18 more glasses with the same sweetness, how many spoons of sugar should she use?
3. In the lemonade problem, the number of glasses increases from 6 to 18. What is the factor of change in the first term of the ratio?
4. Nitin used 3 bags of cement for a 60 ft wall, while Hari used 2 bags for a 40 ft wall. Is Nitin correct to think Hari’s wall will be weaker because he used less cement?
5. A car travels 90 km in 150 minutes. If it continues at the same speed, what distance will it cover in 4 hours?
6. Which of the following correctly formulates the proportion to find the distance covered in 4 hours, keeping time units consistent?
7. To find the distance covered in 240 minutes at the same speed, which method is appropriate?
8. A small farmer in Himachal Pradesh sells each 200 g packet of tea for ₹200. A large estate in Meghalaya sells each 1 kg packet of tea for ₹800. After converting weights to the same units, are the weight-to-price ratios in both places proportional?
9. Based on the tea prices, which tea is more expensive per kilogram?
10. The Earth travels approximately 940 million kilometres around the Sun in a year. How many kilometres will it travel in a week?