Speed is the rate at which something is moving. It is measured as the distance travelled per unit of time.

Pace is the rate of movement. It is measured as the time taken per unit of distance.

Compound measures for speed

Maths

Checking and further securing understanding of direct proportion in context

Compound measures for density

Compound measures for pressure

Converting between metric speed measures

Converting between metric and imperial speed measures

Combining speeds

Combining densities

Problem solving with compound measures

In this unit, pupils will be exploring the multiplicative relationship between different compound measures. Ratio will be one of the ways in which this is explored and the skills from the prior unit will aid understanding. There are also links to the volume units as volume is required for the density formula.

In this unit, pupils explore the multiplicative relationship between different compound meaures and units such as speed, rates of pay, density and pressure.

Compound measures

Speed is the rate at which something is moving.  It is measured as the distance travelled per unit of {{}}.

If a car travels 12 miles in 20 minutes what is its average speed? Make sure you include the unit with your answer.

Match each scenario with the correct speed.

Calculate the speed during the first part of the journey. Remember to include the units of your answer.

The average speed of a helicopter is 160 mph. How far can it travel in 2 hour 45 minutes?

The distance of a flight from London to Cape Town is approximately 6000 miles. If a plane travels at an average speed of 500 mph, how long will the journey take in hours?

Two variables are in direct proportion if they have a constant {{}} relationship. 

Which of these ratios represents this sentence? For every 1 dollar, you get 54 pence.

Izzy says, "I changed £200 and got $244".  What is this as a unit ratio in pounds?

Andeep says, "I changed £200 and got €250".  What is this as a unit ratio in euros?

A tap fills at a rate of 15 litres per minute. How long will it take to fill a paddling pool with a capacity of 360 litres?

Starter Quiz

Two variables are in direct proportion if they have a constant relationship.