Grade 7 Math: Understanding Scaling
This worksheet focuses on understanding and applying scaling concepts, including scale factors, scale drawings, and proportional relationships, for 7th-grade math students.
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Grade 7 Math: Understanding Scaling
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. A map has a scale of 1 inch = 10 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them?
10 miles
35 miles
3.5 miles
13.5 miles
2. If a photograph is enlarged by a scale factor of 3, how many times greater is the area of the new photograph compared to the original?
3 times
6 times
9 times
12 times
3. A is a drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount called the scale.
4. When a figure is scaled down, the scale factor will be a number than 1.
5. A model car is built with a scale of 1:24. If the actual car is 12 feet long, what is the length of the model car in inches? (Hint: 1 foot = 12 inches)
6. Draw a rectangle with a length of 6 units and a width of 3 units. Then, draw a new rectangle scaled by a factor of 1/2. Label the dimensions of both rectangles.
7. A scale factor greater than 1 indicates an enlargement.
True
False
8. When you scale a figure, its shape changes.
True
False
Match the term on the left with its definition on the right.
9. Scale Drawing
a. The ratio of the length in a drawing to the length of the actual object.
10. Scale Factor
b. A drawing that uses a scale to represent an object as smaller or larger than the actual object.