Question 1: Calculate the reduced length if a line measuring 48 cm is scaled down by a fractional scale factor of 2/3.

Answer: 32

Question 2: A triangle has sides of 15 cm, 20 cm, and 25 cm. When reduced by a scale factor of 3/4, what are the new side lengths?

Answer: 11.25, 15, 18.75

Question 3: A rectangle with length 60 m and width 30 m is scaled down using a fractional scale factor of 1/2. What are the new dimensions?

Answer: 30, 15

Question 4: Plot the graph of y= (1/2)x on the grid. What is the y-value when x = 8?

Answer: 4

Question 5: Construct a triangle with sides of 12, 16, and 20 cm. Reduce the triangle by a scale factor of 2/3. What are the lengths of the sides after reduction?

Answer: 8, 10.67, 13.33

Question 6: A classroom poster measures 120 cm by 90 cm. It is scaled down by a fractional scale factor of 3/4 for a smaller version. What are the dimensions of the scaled-down poster?

Answer: 90, 67.5

Question 7: In a reduction, a figure with a side length of 50 cm is scaled by a scale factor of 2/5. Find the new length.

Answer: 20

Question 8: A model car is 25 cm long. The actual car is scaled down by a fractional scale factor of 1/4. What is the length of the real car?

Answer: 100

Question 9: Identify the common mistake in the following reduction calculation: Reducing 36 by a scale factor of 2/3 gives 24. Is this correct? If not, what is the correct reduced length?

Answer: No, the correct length is 24 only if it’s a reduction from 36, which is correct. But if the mistake is in the calculation, common errors include: multiplying instead of dividing, or misapplying the scale factor.

Question 10: A photo measures 120 mm in width. It is reduced by a fractional scale factor of 1/3. What is the width of the reduced photo? Then, explain your steps.

Answer: 40 mm

Question 11: A scale model of a bridge has a length of 8 meters. If the model is scaled down by 3/4, what is the actual length of the bridge?

Answer: 10.67