Rates and comparisons

A runner travels 5 km in 25 minutes. Find the speed in km/h.

Find the unit price if 750 g costs $6.00.

Convert 90 km/h to metres per second.

A student compares $4 for 500 g with $7 for 1 kg using total price only. Correct the comparison.

Write the rule or formula most useful for Rates and comparisons.

Show how to check one answer using estimation, substitution or inverse operations.

Write one common mistake students make in Rates and comparisons and correct it.

Create a small table, diagram or equation that represents this topic.

State where units, exact form or rounding matter in this topic.

Write one exam-style short question on Rates and comparisons and solve it.

Compare three internet plans using dollars per GB and explain the best value for different users.

A cyclist rides 18 km in 45 minutes, rests, then rides 12 km in 30 minutes. Find average speed for riding time.

Solve a multi-step problem involving Rates and comparisons and explain every step clearly.

Create a realistic word problem for Rates and comparisons, solve it and interpret the answer.

Compare two methods for a problem in Rates and comparisons and explain which is more efficient.

Write a worked solution that includes a check for reasonableness.

Create a problem with a deliberate trap, then solve it correctly and explain the trap.

Use a diagram, table, graph or equation to model a situation involving Rates and comparisons.

Explain how this topic connects to a previous Year 7 or Year 8 maths skill.

Write a full-mark response to a challenging Rates and comparisons question, including reasoning and final answer.