Unit Rates Worksheets

Use equivalent ratios and unit rates to solve proportional relationships.

Learn the skill

Finding and using unit rates

A unit rate compares a quantity to one unit of another quantity. Dividing the total amount by the number of units gives an amount per one. The units tell what the quotient means.

A method you can use

  1. Write the comparison with units in the intended order.
  2. Divide numerator and denominator by the denominator’s value to make it one.
  3. Use the unit rate to compare options or scale to a new quantity.

Worked examples

Example 1

Four notebooks cost $10. Find the price per notebook.

  1. Divide dollars by notebooks: 10 ÷ 4.
  2. Keep the unit dollars per notebook.

Answer: $2.50 per notebook

Example 2

A cyclist travels 45 km in 3 hours at a constant speed. Find the speed.

  1. Divide distance by time: 45 ÷ 3.
  2. The rate is measured in kilometers per hour.

Answer: 15 km/h

Example 3

Which costs less per kg: 3 kg for $12 or 5 kg for $15?

  1. First option: 12 ÷ 3 = $4/kg.
  2. Second option: 15 ÷ 5 = $3/kg.

Answer: 5 kg for $15

Try it yourself

Solve these before opening the answers. The printable sets below give you more practice.

1. Six pens cost $9. Find the price per pen.

Show answer and explanation

$1.50 per pen

9 ÷ 6 = 1.50.

2. A vehicle travels 120 km in 2 hours. Find its average speed.

Show answer and explanation

60 km/h

Divide total distance by total time: 120 ÷ 2.

Take the three-skill math check for this grade →

Before you begin

Multiply, divide and simplify fractions. Read quantities with their units.

Choose your level

  • Easy: Use whole-number rates and small factors.
  • Medium: Find missing values in equivalent ratios.
  • Hard: Use two steps or reverse a relationship.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
3 identical notebooks cost $15. What is the cost per notebook?
2
6 identical notebooks cost $24. What is the cost per notebook?
3
7 identical notebooks cost $14. What is the cost per notebook?
4
6 identical notebooks cost $18. What is the cost per notebook?
5
8 identical notebooks cost $32. What is the cost per notebook?
6
2 identical notebooks cost $8. What is the cost per notebook?

Answer Key

1. 5 dollars per notebook2. 4 dollars per notebook3. 2 dollars per notebook4. 3 dollars per notebook5. 4 dollars per notebook6. 4 dollars per notebook

Full worksheet sets