Rates · Grades 6–8

Rates Worksheets

Unit rate problems (distance per hour, words per minute, and more) built from clean, evenly-dividing numbers so every worksheet has exact whole-number answers.

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What it is

A rate compares two different quantities, like distance and time. A unit rate tells you the amount for just one unit of the second quantity, divide the total by the number of units.

Why it matters

Rates are the bridge between ratios and real-world reasoning: speed, pricing, and pace all rely on comparing two quantities with different units, a skill that carries straight through to proportional reasoning and later algebra.

How to do it

  1. Identify the total amount and how many units of time (or count) it took.
  2. Divide the total by the number of units.
  3. Write the answer with both units, like 'km/h' or 'words/min'.

Examples by level

  • Beginner20 kilometres in 5 hours. What is the rate?4 km/h
  • Intermediate24 kilometres in 6 hours. What is the rate?4 km/h
  • Advanced99 pages in 11 hours. What is the rate?9 pages/h

Examples are generated by the same engine as the worksheets, so they're always mathematically correct. Built to avoid repeats, not reshuffle the same handful of questions.

Common mistakes

  • Dividing in the wrong order (units per total instead of total per unit).
  • Forgetting to include both units in the final answer.
  • Confusing a rate (different units) with a ratio (same units).

Tips

  • A unit rate always has '1' as the second number, even though it's not written, '12 km/h' means 12 km per 1 hour.
  • Divide the bigger quantity by the smaller one, in the order the question gives them.

For parents

Point out rates in daily life (car speed on a dashboard, a recipe's cooking time per pound) to make the abstract division feel concrete.

For teachers

Keep the numbers evenly divisible while students learn the concept; save messier division for once the unit-rate idea itself is solid.

Key vocabulary

rate
a comparison of two quantities with different units
unit rate
a rate for exactly one unit of the second quantity

Frequently asked questions

What grade are rates taught in?
Rates build on ratio and proportion work starting around Grade 6, extending through Grade 8 as numbers and contexts get more complex.
What's the difference between a rate and a ratio?
A ratio compares two quantities with the SAME units (3 red to 2 blue marbles); a rate compares quantities with DIFFERENT units (60 km in 2 hours).

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