This video is a walkthrough of speed, density and pressure questions – aimed at around grade 5 for GCSE maths …. please do

– stop the video

– work through the questions

– compare your solutions

I hope the video helps and please do leave a comment – thanks!

Download a copy of the questions here: QT Compound Measures

Download a copy of the written answers here: QT Compound Measures ANSWERS

Speed, density and pressure questions questions (‘compound measures’) are usually calculator, around 3 – 4 marks, and appear in all the main GCSE exam boards – Edexcel, AQA, OCR and Educas

Here’s the questions

1. A bar of gold has a length of 8cm, a height of 5cm and a width of 2cm as shown below. The bar of gold has a mass of 1.52kg. Work out the density of the bar of gold giving your answer in g/cm^3

2. A steel block exerts a force of 120 Newtons on the ground. The block has an area of 2.5m^2. Work out the pressure on the ground, giving your answer in N/m^2

3. A crystal rock has a density of 1.6 g/cm and a mass of 80g. Work out the volume of the crystal rock.

4. A solid cylinder is made of wood.

It has a diameter of 18cm and a height of 2.5cm

The cylinder has a mass of 392 grams

Work out the density of the wood

Give your answer correct to 2 significant figures.

5. A train travels a distance of 295 miles in 3 hours and 20 minutes. Work out the average speed of the train in miles per hour.

6. An iron bar exerts a force of 38 Newtons on a table. The pressure on the table is 30 N/m2. Work out the area of the iron bar that is in contact with the table

7. Govin drives 200 miles from Leeds to London. He drives the first 78 miles at an average speed of 65mph. From this point it takes Govin 1 hour and 48 minutes to complete his journey.

Work out Govin’s average speed for the whole journey.

Give your answer correct to 1 decimal place.

8. John drives from Leeds to London at an average speed of 65 miles per hour. The journey takes him 3 hours and 15 minutes.

Julie makes the same journey in 3 hours and 35 minutes.

Work out Julie’s average speed for the journey.

Give your answer correct to 2 significant figures.

9. A cylinder is placed on the ground. The cylinder has a weight of 95 Newtons and a radius of 3cm. Work out the pressure on the ground in N / cm^2

10. A cone with a perpendicular height of 20cm, is placed on a table. The weight of the cone is 62N. The cone exerts a pressure of 4200 N / m^2 on the table. Work out the volume of the cone, giving your answer in cm^3.

Here’s the timestamps:

0:00 Intro

0:30 Q1 Density

1:58 Q2 Pressure

2:40 Q3 Density

3:59 Q4 Density of cylinder

5:56 Q5 Speed Distance Time

7:16 Q6 Pressure

8:10 Q7 Speed Distance Time

11:32 Q8 Speed Distance Time

13:30 Q9 Pressure

15:09 Q10 Pressure volume

**Top Tips!**

- Always work methodically and show your working
- Check your calculations
- Is it a reasonable answer?

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Speed, Density and Pressure Questions – GCSE maths grade 5

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