Interpret and estimate measures, Conversion (H) - Questions Q1. A car travels for 18 minutes at an average speed of 72 km/h. (a) How far will the car travel in these 18 minutes? ........................................................... km (2) David says, "72 kilometres per hour is faster than 20 metres per second." (b) Is David correct? You must show how you get your answer. (2) (Total for question = 4 marks) Q2. Change 2 m 3 to cm 3 .
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Interpret and estimate measures, Conversion (H) - Questions
Q1.
A car travels for 18 minutes at an average speed of 72 km/h.
(a) How far will the car travel in these 18 minutes?
........................................................... km
(2)David says,
"72 kilometres per hour is faster than 20 metres per second."
(b) Show that she has enough apples to make 12 portions of apple amber.
You must show your working.
(3)
(Total for question = 5 marks)
Q6.
Judy drives at an average speed of 80 km per hour for 2 hours 45 minutes.
Work out the number of miles Judy drives.
. . . . . . . . . . . . . miles
(Total for Question is 3 marks)
Q7.
The diagram shows a sand pit. The sand pit is in the shape of a cuboid.
Sally wants to fill the sand pit with sand. A bag of sand costs £2.50 There are 8 litres of sand in each bag.
Sally says,
"The sand will cost less than £70"
Show that Sally is wrong.
(Total for question is 5 marks)
Q8.
* The world speed record for a train is 360 mph. It takes Malcolm 6 seconds to drive a train 1 kilometre.
Has the train broken the world speed record? Use 5 miles = 8 km.
(Total for question = 5 marks)
Q9.
Sam has a swimming pool.
There are 60000 litres of water in the swimming pool.
Sam wants to put chlorine powder in the water.
She needs 0.75 mg of chlorine powder for each litre of water.
Work out the total amount of chlorine powder Sam needs. Give your answer in grams.
..............................................................................................................................................(Total for Question is 3 marks)
Q10.
The diagram shows a fish tank in the shape of a cuboid.
The dimensions of the tank are 50 cm by 32 cm by 20 cm.
The tank is full of water and sand.
The ratio of the volume of water to the volume of sand is 5 : 1
Work out the number of litres of water in the tank. You must show all your working.
(b) Write down the letter of the graph that best shows how the depth of the water in the pool above the line MN changes with time as the pool is filled.
A machine fills trays of 20 pots with yoghurt. In one hour, the machine fills a total of 15000 pots.
Work out how many seconds the machine takes to fill each tray of 20 pots.
..............................................................................................................................................(Total for Question is 4 marks)
Q22.
Sumeet has a pond in the shape of a prism.
The pond is completely full of water. Sumeet wants to empty the pond so he can clean it. Sumeet uses a pump to empty the pond.
The volume of water in the pond decreases at a constant rate. The level of the water in the pond goes down by 20 cm in the first 30 minutes.
Work out how much more time Sumeet has to wait for the pump to empty the pond completely.
..............................................................................................................................................(Total for Question is 6 marks)
Q23.
* In the UK, petrol cost £1.24 per litre. In the USA, petrol cost 3.15 dollars per US gallon.
1 US gallon = 3.79 litres £1 = 1.47 dollars
Was petrol cheaper in the UK or in the USA?
(Total for Question is 4 marks)
Q24.
The diagram shows a swimming pool. The swimming pool is in the shape of a prism. The swimming pool is filled with water at a rate of 5 litres per second.
Jeremy has 10 hours to fill the swimming pool. 1 m3 = 1000 litres.
Will he completely fill the swimming pool in 10 hours? You must show all your working.
(Total for question = 5 marks)
Q25.
Here is a diagram of part of a wall in Sarah's house.
Sarah is going to cover this part of the wall with square tiles. The square tiles have sides of 20 cm.
Work out the number of tiles Sarah needs.
..............................................................................................................................................(Total for Question is 3 marks)
Q26.
The diagram shows a patio in the shape of a rectangle.
Diagram NOT accurately drawn
The patio is 3.6 m long and 3 m wide.
Matthew is going to cover the patio with paving slabs.Each paving slab is a square of side 60 cm.
Matthew buys 32 of the paving slabs.
(a) Does Matthew buy enough paving slabs to cover the patio?You must show all your working.