Compound measures for density
I can use compound measures for density.
Compound measures for density
I can use compound measures for density.
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Lesson details
Key learning points
- Density can be calculated by dividing the mass by the volume of the solid.
- The units for mass and volume determine the units for density.
- By rearranging the formula, you can calculate either mass or volume.
Keywords
Density - The density of a substance is measured as the substance's mass per unit of volume.
Mass - The mass of a substance is a measure of the quantity of matter in the substance.
Common misconception
Giving a density answer in the wrong units.
Read the question carefully and check the units of the mass and the volume. It may be necessary to convert between metric units.
To help you plan your year 11 maths lesson on: Compound measures for density, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Compound measures for density, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 4 maths lessons from the Compound measures unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Pace is the rate of movement. It is measured as the time taken per unit of .
Q2.A car travels 12 miles in 15 minutes what is its average speed? Make sure you include the unit with your answer.
Q3.Match each scenario with the correct speed.
87.5 kilometres in 1 hour 45 minutes -
50 km/h
30 km in 20 minutes -
90 km/h
112.5 kilometres in 2 hours 30 minutes -
45 km/h
550 kilometres in 3 hours 20 minutes -
150 km/h
Q4.Calculate the speed during the last part of the journey. Remember to include the units of your answer.

Q5.The average speed of a helicopter is 160 mph. How far can it travel in 1 hour 15 minutes?
Q6.The distance from London to Athens is approximately 1500 miles. If a helicopter travels at an average speed of 160 mph. How long will the journey take? Give your answer as an exact answer in hours.
Assessment exit quiz
6 Questions
Q1.The density of a substance is measured as the substance's mass per unit of .
Q2.The volume of an object is 150 $$cm^3$$ and has a mass of 375 g. The density of the object is $$g/cm^3$$.
Q3.Match each with its correct density.
Mass = 300 g and volume = 1.2 $$cm^3$$ -
250 $$g/cm^3$$
Mass = 8.75 kg and volume = 35 kg $$m^3$ -
0.25 $$kg/m^3$$
Mass = 400 g and volume = 16 $$cm^3$$ -
25 $$g/cm^3$$
Mass = 32 kg and volume = 12.8 $$m^3$$ -
2.5 $$kg/m^3$$
Q4.The density of an object is 120 $$g/cm^3$$, the mass of the object is 750 g. The volume of the object is $$cm^3$$.
Q5.The density of an object is 12.8 $$g/cm^3$$, the volume of the object is 24.5 $$cm^3$$. Calculate the mass of the object. (Give your answer in grams).
Q6.The density of this cuboid is 3.6 $$g/cm^3$$. Calculate the mass of the cuboid. (Give your answer in grams).
