Scale Factors and Similar Figures: Grade 6 Quiz

1. A rectangle has a length of 8 cm and a width of 4 cm. If a similar rectangle has a length of 12 cm, what is its width?

• 7 cm

• 6 cm

• 5 cm

• 9 cm

2. Two triangles are similar. The first triangle has sides measuring 5 cm, 12 cm, and 13 cm. If the longest side of the second triangle is 20 cm, what are the lengths of the other two sides?

• 6 cm and 14 cm

• Approximately 7.69 cm and 18.46 cm

• 8 cm and 16 cm

• 10 cm and 15 cm

3. A model of a car is 1.5 feet long and is similar to the actual car, which is 12 feet long. What is the scale factor from the model to the actual car?

• 8

• 10

• 12

• 6

4. A painting is 24 inches wide and 36 inches tall. If a similar painting is 18 inches wide, what is its height?

• 30 inches

• 27 inches

• 24 inches

• 36 inches

5. Two similar pentagons have a scale factor of 3:5. If the perimeter of the smaller pentagon is 30 cm, what is the perimeter of the larger pentagon?

• 60 cm

• 40 cm

• 25 cm

• 50 cm

6. A garden is shaped like a rectangle that is 10 meters long and 5 meters wide. If a similar garden is 15 meters long, what is the width of the similar garden?

• 7.5 meters

• 10 meters

• 5 meters

• 12.5 meters

7. A map is drawn to a scale of 1:100. If a park measures 2 cm by 3 cm on the map, what are the actual dimensions of the park?

• 100 cm by 150 cm

• 150 cm by 250 cm

• 200 cm by 300 cm

• 300 cm by 400 cm

8. Two similar squares have areas of 64 cm² and 144 cm². What is the scale factor between the two squares?

• 0.5

• 3

• 1.5

• 2

9. A small model of a building is 3 feet tall and is similar to the actual building, which is 15 feet tall. What is the scale factor from the model to the actual building?

• 5

• 6

• 3

• 4

10. A triangle has a base of 6 cm and a height of 8 cm. If a similar triangle has a height of 12 cm, what is the length of its base?

• 9 cm

• 10 cm

• 12 cm

• 6 cm