Practice Proportional Relationships in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A relationship where two quantities maintain a constant ratio: doubling one always doubles the other, giving .
If you double one, you double the other. Triple one, triple the other.
Showing a random 20 of 50 problems.
Example 1
hardA relationship satisfies . Verify it is proportional and state . Then check whether is proportional.
Example 2
easyIf pens cost , what do pens cost at the same rate?
Example 3
mediumA printer prints pages in minutes. At the same rate, how long to print pages?
Example 4
mediumSolve the proportion .
Example 5
mediumOn a map, cm represents km. How many km does cm represent?
Example 6
easyIf apples cost , how much do apples cost?
Example 7
easyIf , find when .
Example 8
mediumIs the relationship proportional? Is proportional? Explain.
Example 9
easySolve .
Example 10
easyA car travels miles in hours at constant speed. How far will it travel in hours?
Example 11
medium is proportional to with . If is multiplied by , by what factor is multiplied?
Example 12
mediumSolve the proportion for .
Example 13
hardIn a recipe, the ratio of flour to sugar is . If you use cups of flour, how much sugar do you need?
Example 14
mediumA car uses L of fuel per km. Assuming proportional fuel use, how much fuel does it use for a km trip?
Example 15
easyA graph passes through the origin and . What is ?
Example 16
mediumIf meters of cloth cost , how many meters can you buy with ?
Example 17
challengeQuantity is proportional to . If when , find when .
Example 18
easyA car travels km in hour at constant speed. How far in hours?
Example 19
easyIf notebooks cost $20, what is the cost of notebook at the same rate?
Example 20
challengeIf is proportional to and is proportional to , show is proportional to .