Question 1: A map uses a scale of 1 cm : 5 km. If two cities are 8 cm apart on the map, what is the actual distance between the cities?

Answer: 40 km

Question 2: On a map, 1 inch represents 10 miles. If the distance between two towns on the map is 3.5 inches, what is the real distance?

Answer: 35 miles

Question 3: A map shows a river that is 6 cm long, representing 12 km in real life. What is the scale factor of the map?

Answer: 1 cm : 2 km

Question 4: If the scale on a map is 1 cm : 4 km, how far apart are two cities that are 7.5 cm apart on the map?

Answer: 30 km

Question 5: A map ratio of 1:10,000 shows a park that is 4.5 cm long. What is the actual length of the park?

Answer: 45,000 cm or 450 meters

Question 6: A map has a scale of 1 cm : 3 km. Two locations are 12 cm apart on the map. What is the real-world distance between them?

Answer: 36 km

Question 7: Construct a map segment where 2 cm represents 6 km. If the segment on paper is 5 cm long, what is the real distance?

Answer: 15 km

Question 8: A map shows a trail that is 8 cm long, which corresponds to 20 km in real life. If you are given a 12 cm segment on the map, how long is the actual trail?

Answer: 30 km

Question 9: A map's scale is 1:50,000. If a lake measures 2.4 cm on the map, what is its actual size in kilometers?

Answer: 1.2 km

Question 10: A map shows a mountain range that is 3.5 cm long, representing 70 km in real life. What is the scale ratio of the map?

Answer: 1 cm : 20 km

Question 11: Error Analysis: A student calculates that a 5 cm map segment represents 25 km in real life, claiming the scale is 1 cm : 5 km. Is this correct? If not, identify and correct the mistake.

Answer: Incorrect. The correct scale is 1 cm : 5 km, so 5 cm represents 25 km. The calculation is correct; the mistake was in the student's reasoning process.