Question 1: Convert 3 hours and 30 minutes into minutes, then simplify the ratio of hours to minutes.

Answer: 1:70

Question 2: A recipe calls for 200g of sugar to 500g of flour. Convert the sugar amount to kilograms and express the ratio of sugar to flour in simplest form.

Answer: 0.2:0.5 or 2:5

Question 3: A car travels 150 km in 3 hours. Convert the speed to km per hour and then find the ratio of distance to time.

Answer: 50:1

Question 4: Express the ratio of 2 hours and 45 minutes to 1 hour and 15 minutes after converting both to minutes.

Answer: 11:5

Question 5: A map scale shows 1 cm representing 50 km. Convert 3 hours of travel at 60 km/h into the equivalent map distance, then express as a ratio.

Answer: 3.6 cm and ratio 1:14

Question 6: A mixture contains 2 liters of alcohol and 3 liters of water. Convert both to milliliters and find the ratio of alcohol to water in simplest form.

Answer: 2000:3000 or 2:3

Question 7: Construct a ratio of 5:8 and convert both parts to percentages of the total.

Answer: 62.5% and 37.5%

Question 8: A student converts 2 hours into minutes as 120 minutes but then writes the ratio of hours to minutes as 1:60. Identify and correct the mistake in the conversion and ratio.

Answer: Correct conversion: 2 hours = 120 minutes. Ratio of hours to minutes should be 2:120 or simplified to 1:60.

Question 9: If a bike covers 30 km in 45 minutes, convert the speed to km/h and express the ratio of distance to time.

Answer: 40:1

Question 10: Express the ratio 100g of sugar to 250g of flour after converting both to kilograms and simplify.

Answer: 0.1:0.25 or 2:5

Question 11: Calculate the ratio of 4 hours 15 minutes to 2 hours 30 minutes after converting both to minutes. Then, simplify the ratio.

Answer: 17:10

Question 12: In a ratio of 3:7, convert both parts to percentages of the total and explain the process.

Answer: 3/10=30%, 7/10=70%