Practice Proportionality in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

A relationship where two quantities maintain a constant ratio: doubling one always doubles the other, giving y=kxy = kx.

If you double one, you double the other. Triple one, triple the other.

Showing a random 20 of 50 problems.

Example 1

hard
A relationship satisfies y=4x+0y = 4x + 0. Verify it is proportional and state kk. Then check whether y=4x+1y = 4x + 1 is proportional.

Example 2

easy
If 44 pens cost $12\$12, what do 66 pens cost at the same rate?

Example 3

medium
A printer prints 2424 pages in 33 minutes. At the same rate, how long to print 200200 pages?

Example 4

medium
Solve the proportion 3x=915\frac{3}{x} = \frac{9}{15}.

Example 5

medium
On a map, 22 cm represents 55 km. How many km does 77 cm represent?

Example 6

easy
If 1212 apples cost $3.60\$3.60, how much do 2020 apples cost?

Example 7

easy
If y=7xy = 7x, find yy when x=5x = 5.

Example 8

medium
Is the relationship y=3x+2y = 3x + 2 proportional? Is y=5xy = 5x proportional? Explain.

Example 9

easy
Solve x4=68\frac{x}{4} = \frac{6}{8}.

Example 10

easy
A car travels 150150 miles in 33 hours at constant speed. How far will it travel in 55 hours?

Example 11

medium
yy is proportional to xx with k=2.5k = 2.5. If xx is multiplied by 44, by what factor is yy multiplied?

Example 12

medium
Solve the proportion x18=56\dfrac{x}{18} = \dfrac{5}{6} for xx.

Example 13

hard
In a recipe, the ratio of flour to sugar is 3:23:2. If you use 7.57.5 cups of flour, how much sugar do you need?

Example 14

medium
A car uses 44 L of fuel per 5050 km. Assuming proportional fuel use, how much fuel does it use for a 325325 km trip?

Example 15

easy
A graph passes through the origin and (2,8)(2, 8). What is kk?

Example 16

medium
If 77 meters of cloth cost $21\$21, how many meters can you buy with $15\$15?

Example 17

challenge
Quantity yy is proportional to x2x^2. If y=12y = 12 when x=2x = 2, find yy when x=5x = 5.

Example 18

easy
A car travels 6060 km in 11 hour at constant speed. How far in 33 hours?

Example 19

easy
If 55 notebooks cost $20, what is the cost of 11 notebook at the same rate?

Example 20

challenge
If aa is proportional to bb and bb is proportional to cc, show aa is proportional to cc.
← Back to Proportionality Worked Examples Formula Explained