IGCSEMaths: ExtendedCIEExam Questions1. Number1.11 Compound Measures - Speed, Density, Pressure

Syllabus Edition

First teaching 2021

Last exams 2024

|

Compound Measures - Speed, Density, Pressure (CIE IGCSE Maths: Extended)

Exam Questions

3 hours46 questions

Select a question set to download for
1.11 Compound Measures - Speed, Density, Pressure

Select an answer set to view for
1.11 Compound Measures - Speed, Density, Pressure

Easy
Medium
Hard
1
Sme Calculator1 mark

Liz takes 65 seconds to run 400m.

Calculate her average speed.

.......................................... m/s 

How did you do?

Did this page help you?

2a
Sme Calculator2 marks

Peter goes for a walk.
He walks 15 miles in 6 hours.

Work out Peter's average speed.
Give your answer in miles per hour.

How did you do?

2b
Sme Calculator2 marks

5 miles = 8 km.
Sunita says that Peter walked more than 20 km.

Is Sunita right?
You must show all your working.

How did you do?

Did this page help you?

3a
Sme Calculator3 marks

Gary drove from London to Sheffield.
It took him 3 hours at an average speed of 80km/h

Lyn drove from London to Sheffield.
She took 5 hours.

Assuming that Lyn

       drove along the same roads as Gary
and did not take a break,

work out Lyn's average speed from London to Sheffield.

How did you do?

3b
Sme Calculator1 mark

If Lyn did not drive along the same roads as Gary, explain how this could affect your answer to part (a).

How did you do?

Did this page help you?

4
Sme Calculator3 marks

A train takes 6 hours 39 minutes to travel from New Delhi to Kanpur.
The train travels a distance of 429 km.

Work out the average speed of the train.
Give your answer in km/h correct to one decimal place.

How did you do?

Did this page help you?

5
Sme Calculator3 marks

A train journey from Paris to Amsterdam took 3 hours 24 minutes.
The total distance the train travelled was 433.5 km.

Work out the average speed of the train.
Give your answer in kilometres per hour.

...................................................... km/h 

How did you do?

Did this page help you?

6
Sme Calculator3 marks

A rocket travelled 100 space km at an average speed of 28440 space km divided by straight h.

Work out how long it took the rocket to travel the 100 space km.
Give your answer in seconds, correct to the nearest second.

...................................... seconds

How did you do?

Did this page help you?

7
Sme Calculator3 marks
pressure space equals space force over area

A box is put on a table.

The face of the box in contact with the table is in the shape of a rectangle, 2 space straight m by 1.25 space straight m.
The pressure on the table due to the box is 42 newtons divided by straight m squared

Work out the force exerted by the box on the table.

....................................... newtons

How did you do?

Did this page help you?

8
Sme Calculator3 marks

Abelie flew by plane from Dubai to Rome.

The flight time was 6 hours 42 minutes.
The average speed of the plane was 650 kilometres per hour.

Work out the distance the plane flew.

..........................................kilometres

How did you do?

Did this page help you?

9
Sme Calculator3 marks

pressure space equals space force over area

Find the pressure exerted by a force of 810 newtons on an area of 120 cm squared
Give your answer in newtons divided by straight m squared

...........................newtons divided by straight m squared

How did you do?

Did this page help you?

1
Sme Calculator2 marks

A train journey takes 5 hours 54 minutes.

The average speed of the train for this journey is 80 km/h.
 
Calculate the distance travelled.
 

................................................ km

How did you do?

Did this page help you?

2
Sme Calculator3 marks

A car travels at 108 km/h for 20 seconds.
 
Calculate the distance the car travels.
Give your answer in metres.
 

............................................ m

How did you do?

Did this page help you?

3
Sme Calculator3 marks

The diagram shows a solid triangular prism.

q5-1-11-easy-paper2-cie-igcse-maths-extended

The prism is made from metal.
The density of the metal is 6.6 grams per cm3.

Calculate the mass of the prism.

How did you do?

Did this page help you?

4
Sme Calculator3 marks

q3-1-11-easy-cie-igcse-maths-extended

A, B and C are 3 service stations on a motorway.

AB = 25 miles
BC = 25 miles

Aysha drives along the motorway from A to C.

Aysha drives at an average speed of 50 mph from A to B.
She drives at an average speed of 60 mph from B to C.

Work out the difference in the time Aysha takes to drive from A to B and the time Aysha takes to drive from B to C.
Give your answer in minutes.

How did you do?

Did this page help you?

5
Sme Calculator3 marks

A gold bar has a mass of 12.5 kg.

The density of gold is 19.3 g/cm3

Work out the volume of the gold bar.
Give your answer correct to 3 significant figures.

How did you do?

Did this page help you?

6
Sme Calculator4 marks

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 15 000 pots.

Work out how many seconds the machine takes to fill each tray of 20 pots.

How did you do?

Did this page help you?

7
Sme Calculator3 marks

There are 18500 gallons of fuel in a fuel tank.

The fuel is pumped from the fuel tank into a plane at a rate of 1700 litres per minute.

1 gallon = 4.5 litres.

How many minutes will it take to empty the fuel tank completely?
Give your answer to the nearest minute.

How did you do?

Did this page help you?

8
Sme Calculator3 marks

Change a speed of 50 metres per second to a speed in kilometres per hour.

.......................... kilometres per hour

How did you do?

Did this page help you?

9
Sme Calculator3 marks

A block of wood has a mass of 3.5 space kg.
The wood has density 0.65 space kg divided by straight m cubed

Work out the volume of the block of wood.
Give your answer correct to 3 significant figures.

How did you do?

Did this page help you?

10
Sme Calculator3 marks

Change a speed of 630 kilometres per hour to a speed in metres per second.

How did you do?

Did this page help you?

1
Sme Calculator2 marks

The distance between Prague and Vienna is 254 kilometres.
The local time in Prague is the same as the local time in Vienna.
A train leaves Prague at 15 20 and arrives in Vienna at 19 50 the same day.

Calculate the average speed of the train. 
 

...................................... km/h

How did you do?

Did this page help you?

2
Sme Calculator3 marks

A car travels at a constant speed.
It travels a distance of 146.2 m, correct to 1 decimal place.
This takes 7 seconds, correct to the nearest second.

Calculate the upper bound for the speed of the car.


........................................... m/s

How did you do?

Did this page help you?

3
Sme Calculator3 marks

A train of length 105 m takes 11 seconds to pass completely through a station of length 225 m.
 
Calculate the speed of the train in km/h.
 

........................................ km/h

How did you do?

Did this page help you?

4
Sme Calculator4 marks

Liquid A has a density of 0.7 g/cm3.
Liquid B has a density of 1.6 g/cm3.

140 g of liquid A and 128 g of liquid B are mixed to make liquid C.

Work out the density of liquid C.

How did you do?

Did this page help you?

5
Sme Calculator3 marks

The distance from Fulbeck to Ganby is 10 miles.
The distance from Ganby to Horton is 18 miles.

q5-1-11-hard-cie-igcse-maths-extended


Raksha is going to drive from Fulbeck to Ganby.
Then she will drive from Ganby to Horton.

Raksha leaves Fulbeck at 10 00
She drives from Fulbeck to Ganby at an average speed of 40 mph.

Raksha wants to get to Horton at 10 35

Work out the average speed Raksha must drive at from Ganby to Horton.

How did you do?

Did this page help you?

6
Sme Calculator5 marks

James and Peter cycled along the same 50km route.

James took 2 begin inline style 1 half end style hours to cycle the 50km.

Peter started to cycle 5 minutes after James started to cycle.
Peter caught up with James when they had both cycled 15 km.

James and Peter both cycled at constant speeds.

Work out Peter's speed.

How did you do?

Did this page help you?

7
Sme Calculator4 marks

Sean drives from Manchester to Gretna Green.

He drives at an average speed of 50 mph for the first 3 hours of his journey

He then has 150 miles to drive to get to Gretna Green.
Sean drives these 150 miles at an average speed of 30 mph.

Sean says,

"My average speed from Manchester to Gretna Green was 40 mph."

Is Sean right?
You must show how you get your answer.

How did you do?

Did this page help you?

8a
Sme Calculator2 marks

In May 2019, the distance between Earth and Mars was 3.9 cross times 107 km.

In May 2019, a signal was sent from Earth to Mars.
Assuming that the signal sent from Earth to Mars travelled at a speed of 3 cross times 105 km per second,

how long did the signal take to get to Mars?

....................................seconds

How did you do?

8b
Sme Calculator1 mark

The speed of the signal sent from Earth to Mars in May 2019 was actually less than 3 cross times 105 km per second.

How will this affect your answer to part (a)?

How did you do?

Did this page help you?