Practice Scaling in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Changing the size of a quantity by multiplying by a factor, making it proportionally larger (factor > 1) or smaller (factor < 1).
Zooming in or out—everything gets bigger or smaller by the same factor.
Example 1
easyA map has a scale of 1:25{,}000. Two cities are 8 cm apart on the map. What is the actual distance in kilometres?
Example 2
mediumA recipe for 4 servings uses 2.5 cups of oats, 1.5 cups of milk, and \frac{1}{4} cup of honey. Scale the recipe up to 10 servings.
Example 3
easyA model car is built at a scale of 1:18. The model is 24 cm long. How long is the actual car in metres?
Example 4
mediumA square has side length 5 cm. It is scaled by a factor of 3. By what factor does the area increase?