Year 8 - Rates - Free practice
Year 8 Rates Worksheets & Practice Tests
Speed, density, unit pricing - the everyday rate problems.
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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
About this worksheet
Why we built it
Rates are the secret backbone of physics, chemistry and even VCE economics. Year 8 introduces them properly - distance/time, unit price, density. These worksheets give your student practice setting up the right ratio every time, then converting units cleanly.
What's covered
Sub-skills your student will practise
- ✓Speed = distance / time problems
- ✓Unit pricing and best-buy comparisons
- ✓Density and similar rate-based quantities
- ✓Converting between rate units (km/h to m/s, $/kg to $/g)
- ✓Multi-step word problems involving rates
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Frequently asked
Questions parents ask about rates
What's a rate in maths?
A comparison of two quantities with different units. Speed is a rate (km per hour), so is unit price ($ per kg), density (kg per m^3), and pay (dollars per hour).
How do students convert between rate units?
Convert each unit separately. To go from km/h to m/s: km to m is x 1000, h to s is /3600, so the rate gets multiplied by 1000/3600 = 5/18. So 36 km/h = 36 x 5/18 = 10 m/s.
What's the difference between a ratio and a rate?
A ratio compares two quantities with the same units (3 boys to 5 girls). A rate compares two quantities with different units (50 km in 2 hours). The arithmetic looks similar but the interpretation differs.
What real-world problems use rates in Year 8?
Speed, density, currency exchange, fuel consumption, water flow, and unit pricing for shopping comparisons. These worksheets pull from a mix so students get fluent across contexts.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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