Rate Calculation Practice Test Worksheets
Rate calculation questions test whether you can connect speed, distance, and time while keeping the units consistent. This page shows the core methods for converting between hours, minutes, seconds, kilometres, metres, miles, and yards.
For students who know multiplication and division, but lose marks linking speed, distance, time, and unit conversions.
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What Do Rate Calculation Questions Look Like?
Rate calculation questions test whether you can connect speed, distance, and time while keeping units consistent across kilometres, metres, miles, yards, hours, minutes, and seconds. Here is a worked example.
Kilometres per Hour to Metres per Hour
Question: A high-speed train is travelling at 126 kilometres per hour. What is the speed of the train in metres per hour?
Worked Method
Step 1: 1 kilometre = 1000 metres, so multiply by 1000.
126 × 1000 = 126000 metres per hour
Tip: The time unit has not changed here. Only kilometres have changed into metres.
Rules to Help You Solve Rate Calculation Questions
The worked example above shows how converting between units is the key to solving rate problems. Most rate calculation questions rely on four core rules:
🚗 Rule 1: Speed = distance ÷ time
If you know the distance travelled and the time taken, divide distance by time to find the rate.
Example: 180 metres in 4 seconds gives 180 ÷ 4 = 45 metres per second
📏 Rule 2: Distance = speed × time
Once the speed is in the right unit, multiply by the time to find the distance travelled.
Example: 35 metres per second for 12 seconds gives 35 × 12 = 420 metres
⏱️ Rule 3: Time = distance ÷ speed
When a question asks how long something takes, divide the distance by the speed in matching units.
Example: 140 metres at 35 metres per second gives 140 ÷ 35 = 4 seconds
🔁 Rule 4: Keep the units consistent
Use 1 kilometre = 1000 metres, 1 mile = 1760 yards, and 1 hour = 60 minutes = 3600 seconds. Match the distance and time units when using a formula, then convert the result to the requested unit if needed.
Example: 90 mph = 90 × 1760 = 158400 yards per hour
Two More Worked Examples
A multi-step rate conversion and a classic trap involving mismatched distance and speed units.
Finding Distance in One Minute
Question: A peregrine falcon is diving at 126 kilometres per hour. What distance does the falcon cover in one minute, measured in metres?
Worked Method
Step 1: Convert kilometres per hour to kilometres per minute: 126 ÷ 60 = 2.1 kilometres per minute.
Step 2: Convert the rate to metres per minute: 2.1 × 1000 = 2100 metres per minute.
Step 3: Distance = speed × time: 2100 metres per minute × 1 minute = 2100 metres.
Tip: Divide a rate per hour by 60 to get the rate per minute. To convert a duration from hours to minutes, multiply by 60.
Finding Time from Distance and Speed
Question: A racing cyclist is travelling at 90 kilometres per hour. If the remaining distance to the finish line is 37.5 metres, calculate the time in seconds.
Worked Method
Step 1: Convert speed into metres per hour: 90 × 1000 = 90000 metres per hour.
Step 2: Convert metres per hour into metres per second: 90000 ÷ 3600 = 25 metres per second.
Step 3: Time = distance ÷ speed, so 37.5 ÷ 25 = 1.5 seconds.
Tip: Dividing 37.5 by 90 directly mixes metres with kilometres per hour. Using metres and metres per second gives seconds directly. Alternatively, convert 37.5 m to 0.0375 km, divide by 90 km/h to get hours, then multiply by 3600 to get 1.5 seconds.
