Rate of flow measures the volume of fluid that passes through a particular pipe/channel per unit of time.

Advanced problem solving with compound measures

Maths

Checking and further securing understanding of direct proportion in context

Compound measures for speed

Compound measures for density

Compound measures for pressure

Converting between metric speed measures

Converting between metric and imperial speed measures

Converting between other compound measures

Combining speeds

Combining densities

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

__________ measures the volume of fluid that passes through a particular pipe/channel per unit of time.

Match the correct unit with the correct statement.

This cuboid was full of water and then is empty after 2 hours. The lengths of the cuboid are 40 cm by 20 cm by 30 cm. Work out the rate of flow and give the answer in cm$$^3$$ per minute.

A swimming pool is in the shape of a cuboid with lengths 5 m by 8 m by 1.2 m. The hose pumps water at a constant rate of 2 L per second. Work out how many hours it will take to fill the pool.

A car travels at a speed of $$4x$$ km/h for 30 minutes and then for $$5x$$ km/h for 90 minutes. Find the average speed of the car.

The densities of Cube A : Cube B is 1 : 4

The densities of Cube A : Cube B is 1 : 10

The densities of Cube A : Cube B is 1 : 16

The densities of Cube A : Cube B is 1 : 64

The mass of Cube A : Cube B is in the ratio 1 : 4. The ratio of the lengths of the cubes is in the ratio of 1 : 4. Which statement is correct?

The amount of space occupied by a closed 3D shape is known as __________.

Work out the volume of a cuboid with a length of 20 cm, width of 80 cm and a height of 10 cm. Give your answer in cm$$^3$$.

A triangular prism with base = 120 mm, height = 240 mm and length = 200 mm

A cuboid of length = 8 cm, width = 9 cm and height = 0.1 m

A trapezium faced prism h = 4 cm, parallel lengths = 5cm & 3cm and depth = 0.4 m

Put the following volumes in descending order, the largest volume at the top and the smallest at the bottom.

A car travels at 36 mph for 20 minutes, then for 42 mph for 10 minutes. Find the average speed for the whole journey. Give your answer in mph.

Advanced problem solving with compound measures

Lesson outcome