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Patterns and Sequences

KS3 Maths Foundation Questions – Speed and Density

1) A car is travelling at 30 miles per hour.

a) How long will it take the car to cover 60 miles?

b) How far could it travel in 3 days?

2) A boat covers a distance of 15km in 3 hours.

a) How fast does it travel?

b) How long would it take to cover half that distance at the same speed?

3) An aeroplane covers 1080 miles at a speed of 365 mph.

a) how long is the plane journey?

b) how long is the journey if the speed is slashed to a fifth of its original.

4) Currently a van is covering a distance of 500 miles does so in 6 hours.

a) What is the van’s speed?

b) How would the speed change if the time was 2 hours?

c) How would speed change if the distance was 300 miles?

KS3 Maths Higher Questions – Speed and Density

1) A van is travelling at 50 miles per hour.

a) How long will it take the car to cover 120 miles?

b) How far could it travel in 4 days?

2) Currently a car is covering a distance of 700 miles does so in 4 hours.

a) What is the van’s speed?

b) How would the speed change if the time was 4.5 hours?

c) How would speed change if the distance was 7000 miles?

3) If the mass of a gold block is 0.78 kg :

a) What is its volume if it’s density is 13.6 kg/m3?

b) What is its density if it’s volume is 20m3?

4) The density of an object is 50 g/m3

a) What is the formula for density?

b) What is the object’s mass if it occupies a volume of 30m3?

c) What is the objects volume if it weighs 200g?

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