Scale Factor Worksheet
Explore and apply scale factors to geometric figures and real-world problems in this Grade 7 math worksheet.
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Scale Factor Exploration
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is a scale factor? Explain in your own words.
2. If a scale factor is greater than 1, will the new figure be larger or smaller than the original? Explain why.
3. A rectangle has a length of 10 cm and a width of 5 cm. If it is enlarged by a scale factor of 2, what will be the new dimensions?
Length: 12 cm, Width: 7 cm
Length: 20 cm, Width: 10 cm
Length: 5 cm, Width: 2.5 cm
Length: 10 cm, Width: 5 cm
4. A triangle has sides of 6 inches, 8 inches, and 10 inches. If it is reduced by a scale factor of 1/2, what will be the new side lengths?
3 in, 4 in, 5 in
12 in, 16 in, 20 in
6 in, 8 in, 10 in
None of the above
5. A model car is 10 cm long. The real car is 400 cm long. The scale factor of the model to the real car is .
6. An original photo is 4 inches wide and 6 inches tall. A copy of the photo is 8 inches wide and 12 inches tall. The scale factor of the copy to the original is .
7. A map has a scale of 1 cm = 50 km. If two cities are 3.5 cm apart on the map, what is the actual distance between them?
8. Draw a rectangle with a length of 6 units and a width of 4 units. Then, draw a new rectangle using a scale factor of 1.5.