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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) Is David correct?

You must show how you get your answer.

(2)

(Total for question = 4 marks)

Q2.

Change 2 m3 to cm3.

........................................................... cm3


Q3.

A rectangle has an area of 4 m2.

Write this area in cm2.

........................................................... cm2


Q4.

Jane has a flower bed in the shape of an equilateral triangle.

The perimeter of the flower bed is 15 metres.

(a) Work out the area of the flower bed.

Give your answer correct to 1 decimal place.

........................................................... m2

(3)

Jane has some containers in the shape of hemispheres with diameter 35 cm.

Jane is going to fill the containers completely with compost.

She has 80 litres of compost.

1 litre = 1000 cm3.

(b) Work out how many containers Jane can fill completely with compost.

...........................................................

(4)

(Total for Question is 7 marks)

Q5.

Stephanie uses her grandmother's recipe to make apple amber. Here is the list of ingredients to make 8 portions.

Stephanie wants to make 12 portions of apple amber.

(a) Work out how much sugar she needs.

........................................................... ounces

(2)Stephanie has 2kg of apples.

(b) Show that she has enough apples to make 12 portions of apple amber.

You must show your working.

(3)


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


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.


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.

........................................................... litres


Q11.

* The diagram shows the top of Levi's birthday cake.

The top of the cake is in the shape of a circle. The diameter of the circle is 7 inches.

A ribbon is going to be put around the side of the cake. Ribbons are sold in 50 cm lengths.

1 inch is 2.54 cm.

Work out if one length of ribbon is long enough to go all the way around the cake. You must show your working.


Q12.

* The local supermarket sells boxes of Reblochon cheese.

Each box of Reblochon cheese costs 3.10 Swiss francs.

It weighs 160 g.

In England, a box of Reblochon cheese costs £13.55 per kg.

The exchange rate is £1 = 1.65 Swiss francs.

Work out whether Reblochon cheese is better value for money in Switzerland or in England.


Q13. ∗

In a competition, a prize is won every 2014 seconds.

Work out an estimate for the number of prizes won in 24 hours. You must show your working.


Q14.

Emily is driving in France. She sees this sign.

Emily is going to drive to Dijon. She plans to drive at an average speed of 50 miles per hour.

Work out how long it should take Emily to drive to Dijon.

...........................................................


Q15.

(a) Work out the value of

Give your answer correct to 3 decimal places.

..............................................................................................................................................(2)

(b) Change 4.5 km2 to m2.

. . . . . . . . . . . . . . . . . .m2

(2)(Total for Question is 4 marks)

Q16.

* Henry is thinking about having a water meter.

These are the two ways he can pay for the water he uses.

Henry uses an average of 180 litres of water each day.

Henry wants to pay as little as possible for the water he uses.Should Henry have a water meter?


Q17.

Here are the ingredients needed to make 30 biscuits.

Helen wants to make 20 biscuits.

(a) How much sugar does Helen need?

........................................................... g

(2)

John has 1 kg of flour and enough of the other ingredients.

(b) Work out the greatest number of biscuits John can make.

...........................................................

(2)


Q18.

* Tina is going from London to the French town of Lille.

Tina will drive from London to Dover. She will go on the ferry from Dover to Calais. She will then drive from Calais to Lille.

The distance from London to Dover is 80 miles. The distance from Calais to Lille is 120km.

5 miles = 8km

Tina has enough fuel in her car to drive 150 miles.

Does she have enough fuel to get from London to Lille? You must show all your working.


Q19.

Colin works on 5 days each week. Each day he drives from his home to work and from work to his home.

Colin pays £3.50 each day to use the car park at work.

The distance from Colin's home to work is 18 miles. Colin's car uses one gallon of petrol every 45.2 miles.

1 litre of petrol costs 136.9p 1 gallon = 4.546 litres

Work out the total cost for Colin to use his car for work each week. You must show all your working.

£ ...........................................................


Q20.

The diagram shows a swimming pool in the shape of a prism.

The swimming pool is empty.

The swimming pool is filled with water at a constant rate of 50 litres per minute.

(a) Work out how long it will take for the swimming pool to be completely full of water. Give your answer in hours. (1 m3 = 1000 litres)

........................................................... hours

(5)

Here are four graphs.

(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.

...........................................................

(1)


Q21.

Tame Valley is a company that makes yoghurt.

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.


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.


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?


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.


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.


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.

..............................................................................................................................................(3)

The paving slabs cost £8.63 each.

(b) Work out the total cost of the 32 paving slabs.

£. . . . . . . . . . . . . . . . . . . . . .

(3)(Total for Question is 6 marks)

Q27.

Renee buys 5 kg of sweets to sell. She pays £10 for the sweets.

Renee puts all the sweets into bags. She puts 250 g of sweets into each bag. She sells each bag of sweets for 65p.

Renee sells all the bags of sweets.

Work out her percentage profit.

........................................................... %


gcseprep.com€¦ · web view04/05/2020 · jane has a flower bed in the shape of an equilateral...

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