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
A ratio compares two quantities of the same kind, but a rate compares different ones, and that jump is exactly what makes speed and pricing problems click instead of feeling like a different topic each time.
How to do it
- Identify the total amount and how many units of time (or count) it took.
- Divide the total by the number of units.
- Write the answer with both units, like 'km/h' or 'words/min'.
Examples by level
- Beginner20 kilometres in 5 hours. What is the rate?Answer4 km/h
- Intermediate24 kilometres in 6 hours. What is the rate?Answer4 km/h
- Advanced99 pages in 11 hours. What is the rate?Answer9 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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