Question 1: A map has a scale of 1:50,000. What is the actual distance in kilometers if two points are 7 cm apart on the map?

Answer: 3.5

Question 2: A map shows a route of 12 cm between two cities. If the scale is 1:100,000, what is the real distance in kilometers?

Answer: 12

Question 3: A student states that a scale of 1:25,000 means 25,000 cm on the ground for every 1 cm on the map. Is this correct? Explain your reasoning.

Answer: No, because 25,000 cm is 250 meters, not 25 km. The correct ground distance for 1 cm on the map is 250 meters.

Question 4: Calculate the ground distance in kilometers if a map with a scale of 1:75,000 shows a river length of 8 cm.

Answer: 6

Question 5: Construct a statement that correctly interprets the scale 1:200,000 in terms of real-world measurement.

Answer: A line of 1 cm on the map represents 200 km in real distance.

Question 6: A map scale states 1:50,000. A feature measures 4.2 cm on the map. What is its actual size in meters?

Answer: 2100

Question 7: Identify the error in this statement: 'Since the scale is 1:100,000, I just multiply the map measurement by 100,000 to find the real distance.'

Answer: The mistake is only multiplying by 100,000; the correct method is to convert the map measurement to ground distance by multiplying and then converting units if necessary.

Question 8: A map has a scale of 1:10,000. If two points measure 3.5 cm apart on the map, what is the actual distance in meters?

Answer: 350

Question 9: In a map reading, a student interprets the scale 1:25,000 as 25,000 m per 1 cm. Is this correct? Why or why not?

Answer: No, because 1 cm on the map at a scale of 1:25,000 equals 25,000 cm, which is 250 meters, not 25 km.

Question 10: A map shows a city park measuring 6 cm on the map. The scale is 1:60,000. Calculate the actual area in square meters assuming the park is rectangular and measures 6 cm by 4 cm on the map.

Answer: 864000

Question 11: A map scale is incorrectly labeled as 1:80,000 when it actually is 1:8,000. Describe how this mistake could affect the interpretation of distances and what correction is needed.

Answer: The mistake would cause overestimation of distances by a factor of 10. Correcting it involves recognizing the actual scale is 1:8,000, not 1:80,000.