Starter quiz
- The amount of space occupied by a closed 3D shape is known as __________.
- volume ✓
- area
- surface area
- capacity
- vacuum
-
- 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.
- 1600 cm
- 16 000 000 cm
- 16 000 cm ✓
- 160 cm
-
- How many cm are in 1 litre?
- '1000' ✓
- How many litres are in 1 m?
- '1000' ✓
- Put the following volumes in descending order, the largest volume at the top and the smallest at the bottom.
- 1⇔A cube with lengths = 0.15 m
- 2⇔A triangular prism with base = 120 mm, height = 240 mm and length = 200 mm
- 3⇔A cuboid of length = 8 cm, width = 9 cm and height = 0.1 m
- 4⇔A trapezium faced prism h = 4 cm, parallel lengths = 5cm & 3cm and depth = 0.4 m
- 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.
- '38' ✓
Exit quiz
- __________ measures the volume of fluid that passes through a particular pipe/channel per unit of time.
- Rate of flow ✓
- Rate of speed
- Rate of time
- Rate of volume
- Rate of rate
-
- Match the correct unit with the correct statement.
- 1 m/h⇔A flow of 1 m per 1 hour. ✓
- 1 L/s⇔A flow of 1 L per 1 hour. ✓
- 1 cm/s⇔A flow of 1 cm per 1 second. ✓
- 1 m/s⇔A flow of 1 m per 1 second. ✓
- 1 L/h⇔A flow of 1 L per 1 hour. ✓
- 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 per minute.
- '200' ✓
- 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.
- 24 000 hours
- 4000 hours
- 6.67 hours (2 d.p.) ✓
- 1.1 hour (1 d.p.)
- 3.34 hours (2 d.p.)
-
- A car travels at a speed of km/h for 30 minutes and then for km/h for 90 minutes. Find the average speed of the car.
- km/h
- km/h
- km/h
- km/h ✓
-
- 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 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
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Average speed cameras are a context involving average speed.
- Engineers care about the density of materials.
- Divers care about the pressure exerted on them when diving.
Common misconception
E.g 4.5 hours is 4 hours and 50 minutes
Encouraging pupils to use ratio tables to represent proportional relationships using minutes allows them to appreciate the multiplier of 60 when converting hours to minutes, or minutes to seconds
Keywords
Rate of flow - Rate of flow measures the volume of fluid that passes through a particular pipe/channel per unit of time.
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