Question 1: If a map scale shows that 1 cm represents 5 km, how many kilometers does 3.5 cm represent?

Answer: 17.5

Question 2: A recipe calls for 2 cups of sugar for every 5 cups of flour. How much sugar is needed if 12 cups of flour are used?

Answer: 4.8

Question 3: Construct a triangle on the grid with sides in the ratio 3:4:5. Label the lengths accordingly.

Answer: Any multiple of 3, 4, and 5 that fits the grid

Question 4: A photograph is scaled down from its original size by a ratio of 1:4. If the original width is 24 cm, what is the width of the scaled-down photo?

Answer: 6

Question 5: A scale model car is 15 cm long. If the actual car is 4.5 meters long, what is the ratio of the model to the real car?

Answer: 1:30

Question 6: A school bus is scaled up by a factor of 3 to create a model. If the model bus is 2 meters long, what is the actual length of the bus?

Answer: 6

Question 7: Identify and correct the mistake: A student says that if a figure is scaled by a ratio of 2:1, all its sides should be doubled. Is this correct? Explain.

Answer: No, only the corresponding sides are scaled by 2; the other dimensions are unchanged.

Question 8: In a drawing, a rectangle's length is 6 cm and width is 3 cm. If scaled by 1:2, what are the new dimensions?

Answer: 12 cm and 6 cm

Question 9: A small sculpture is scaled up by a factor of 4 to create a display piece. If the original sculpture is 30 cm tall, what is the height of the display?

Answer: 120

Question 10: A model airplane has a wingspan of 25 cm. If the scale ratio is 1:50, what is the actual wingspan?

Answer: 1250

Question 11: Compare the following two ratios: 3:4 and 6:8. Are they proportional? Justify your answer.

Answer: Yes, they are proportional because 3/4 = 6/8 = 0.75.