Name: _______________________________________________
Compund Measures (SDT)
Date:
Time:
Total marks available:
Total marks achieved: ______
Questions
Q1.
A plane travels at a speed of 213 miles per hour.
(a) Work out an estimate for the number of seconds the plane takes to travel 1 mile.
........................................................... seconds
(3)
(b) Is your answer to part (a) an underestimate or an overestimate?
Give a reason for your answer.
.............................................................................................................................................
.............................................................................................................................................
(1)
(Total for question = 4 marks)
Q2.
A plane travels at a speed of 213 miles per hour.
(a) Work out an estimate for the number of seconds the plane takes to travel 1 mile.
........................................................... seconds
(3)
(b) Is your answer to part (a) an underestimate or an overestimate?
Give a reason for your answer.
.............................................................................................................................................
.............................................................................................................................................
(1)
(Total for question = 4 marks)
Q3.
The distance from Fulbeck to Ganby is 10 miles.
The distance from Ganby to Horton is 18 miles.
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 40mph.
Raksha wants to get to Horton at 10 35
Work out the average speed Raksha must drive at from Ganby to Horton.
........................................................... mph
(Total for question = 3 marks)
Q4.
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,
(a) work out Lyn's average speed from London to Sheffield.
........................................................... km/h
(3)
(b) If Lyn did not drive along the same roads as Gary, explain how this could affect your answer to part
(a).
.............................................................................................................................................
.............................................................................................................................................
(1)
(Total for question = 4 marks)
Q5.
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,
(a) work out Lyn's average speed from London to Sheffield.
........................................................... km/h
(3)
(b) If Lyn did not drive along the same roads as Gary, explain how this could affect your answer to part
(a).
.............................................................................................................................................
.............................................................................................................................................
(1)
(Total for question = 4 marks)
Q6.
A sprinter runs a distance of 200 metres in 25 seconds.
Work out the average speed of the sprinter.
........................................................... m/s
(Total for question = 1 mark)
Q7.
Emily drives 186 miles in 3 hours.
(a) What is her average speed?
........................................................... mph
(2)
Sarah drives at an average speed of 58 mph for 4 hours.
(b) How many miles does Sarah drive?
........................................................... miles
(2)
(Total for question = 4 marks)
Q8.
David drives to the supermarket on his way home from work.
The table shows some information about his journey.
(a) How many minutes is David at the supermarket?
........................................................... minutes
(1)
David leaves the supermarket at 1810
He drives 20 miles to his home.
The speed limit for the journey is 30 mph.
David drives within the speed limit.
*(b) Can David get home before 1900?
Give reasons for your answer.
(3)
(Total for question = 4 marks)
Q9.
Find the pressure extered by a force of 900 newtons on an area of 60cm2.
Give your answer in newtons/m2.
........................................................... newtons/m 2
(Total for question = 2 marks)
Q10.
Eric and Geraldine both drove from town A to town B.
Both Eric and Geraldine left town A at 2 pm.
Eric drove on route 1
He got to town B at 2 48 pm.
Geraldine drove on route 2
She got to town B at 3 25 pm.
Who drove at the greater average speed?
You must show all your working.
(Total for question = 3 marks)
Q11.
Eric and Geraldine both drove from town A to town B.
Both Eric and Geraldine left town A at 2 pm.
Eric drove on route 1
He got to town B at 2 48 pm.
Geraldine drove on route 2
She got to town B at 3 25 pm.
Who drove at the greater average speed?
You must show all your working.
(Total for question = 3 marks)
Q12.
Liquid A has a density of 1.42 g/cm3
7 cm3 of liquid A is mixed with 125 cm3 of liquid B to make liquid C.
Liquid C has a density of 1.05 g/cm3
Find the density of liquid B.
Give your answer correct to 2 decimal places.
........................................................... g/cm 3
(Total for question = 3 marks)
Q13.
Lara is a skier.
She completed a ski race in 1 minute 54 seconds.
The race was 475 m in length.
Lara assumes that her average speed is the same for each race.
(a) Using this assumption, work out how long Lara should take to complete a 700 m race.
Give your answer in minutes and seconds.
........................................ minutes ........................................ seconds
(3)
Lara's average speed actually increases the further she goes.
(b) How does this affect your answer to part (a)?
.............................................................................................................................................
.............................................................................................................................................
(1)
(Total for question = 4 marks)
Q14.
Andy cycles a distance of 30 km at an average speed of 24 km/h.
He then runs a distance of 12 km at an average speed of 8 km/h.
Work out the total time Andy takes.
Give your answer in hours and minutes.
........................................ hours ........................................ minutes
(Total for question = 3 marks)
Q15.
Nimer was driving to a hotel.
He looked at his Sat Nav at 13 30
Nimer arrived at the hotel at 14 48
Work out the average speed of the car from 13 30 to 14 48
You must show all your working.
........................................................... mph
(Total for question = 4 marks)
Q16.
Nimer was driving to a hotel.
He looked at his Sat Nav at 13 30
Nimer arrived at the hotel at 14 48
Work out the average speed of the car from 13 30 to 14 48
You must show all your working.
........................................................... mph
(Total for question = 4 marks)
Q17.
The density of ethanol is 1.09 g/cm3
The density of propylene is 0.97 g/cm3
60 litres of ethanol are mixed with 128 litres of propylene to make 188 litres of antifreeze.
Work out the density of the antifreeze.
Give your answer correct to 2 decimal places.
........................................................... g/cm 3
(Total for question = 4 marks)
Q18.
Machine A and machine B both make car parts.
Machine A makes 6 parts every 10 minutes.
Machine B makes 13 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.
...........................................................
(Total for question = 4 marks)
Q19.
Andy cycles a distance of 30 km at an average speed of 24 km/h.
He then runs a distance of 12 km at an average speed of 8 km/h.
Work out the total time Andy takes.
Give your answer in hours and minutes.
................ hours ................ minutes
(Total for question = 3 marks)
Q20.
Manchester airport is on a bearing of 330° from a London airport.
(a) Find the bearing of the London airport from Manchester airport.
...........................................................°
(2)
The London airport is 200 miles from Manchester airport.
A plane leaves Manchester airport at 10 am to fly to the London airport.
The plane flies at an average speed of 120 mph.
(b) What time does the plane arrive at the London airport?
...........................................................
(4)
(Total for question = 6 marks)
Q21.
Regan cycles 78 miles in 6 hours.
His average speed for the first 30 miles is 15 miles per hour.
Work out Regan's average speed for the last 48 miles.
........................................................... miles per hour
(Total for question = 3 marks)
Q22.
Peter goes for a walk.
He walks 15 miles in 6 hours.
(a) Work out Peter's average speed.
Give your answer in miles per hour.
..............................................................................................................................................
(2)
5 miles = 8 km.
Sunita says that Peter walked more than 20 km.
* (b) Is Sunita right?
You must show all your working.
(2)
(Total for Question is 4 marks)
Q23.
Peter goes for a walk.
He walks 15 miles in 6 hours.
(a) Work out Peter's average speed.
Give your answer in miles per hour.
..............................................................................................................................................
(2)
5 miles = 8 km.
Sunita says that Peter walked more than 20 km.
*(b) Is Sunita right?
You must show all your working.
(2)
(Total for Question is 4 marks)
Q24.
A cycle race across America is 3069.25 miles in length
Juan knows his average speed for his previous races is 15.12 miles per hour.
For the next race across America he will cycle for 8 hours per day.
(a) Estimate how many days Juan will take to complete the race.
...........................................................
(3)
Juan trains for the race.
The average speed he can cycle at increases.
It is now 16.27 miles per hour.
(b) How does this affect your answer to part (a)?
.............................................................................................................................................
.............................................................................................................................................
(1)
(Total for question = 4 marks)
Q25.
A cycle race across America is 3069.25 miles in length.
Juan knows his average speed for his previous races is 15.12 miles per hour.
For the next race across America he will cycle for 8 hours per day.
(a) Estimate how many days Juan will take to complete the race.
...........................................................
(3)
Juan trains for the race.
The average speed he can cycle at increases.
It is now 16.27 miles per hour.
(b) How does this affect your answer to part (a)?
.............................................................................................................................................
.............................................................................................................................................
(1)
(Total for question = 4 marks)
Q26.
Sue is driving home from her friend's house.
Sue drives
10 miles from her friend's house to the motorway
240 miles on the motorway
5 miles from the motorway to her home
Sue
takes 20 minutes to drive from her friend's house to the motorway
drives at an average speed of 60 mph on the motorway
takes 25 minutes to drive from the motorway to her home
Sue stops for a 30 minute rest on her drive home.
Sue leaves her friend's house at 9.00 am.
What time does Sue get home?
You must show all your working.
...........................................................
(Total for Question is 3 marks)
Q27.
Here is part of a train timetable from Cambridge to London Kings Cross.
Matt is going to catch a train from Cambridge.
He needs to get to Letchworth before 10 00
(a) Write down the time of the latest train Matt can catch from Cambridge.
...........................................................
(1)
The 09 35 train left Royston on time.
The train took 50 minutes to travel from Royston to London Kings Cross.
The train was late when it got to London Kings Cross.
(b) How many minutes late?
........................................................... minutes
(2)
(Total for question = 3 marks)
Q28.
Axel and Lethna are driving along a motorway.
They see a road sign.
The road sign shows the distance to Junction 8
It also shows the average time drivers take to get to Junction 8
The speed limit on the motorway is 70 mph.
Lethna says
"We will have to drive faster than the speed limit to drive 30 miles in 26 minutes."
Is Lethna right?
You must show how you get your answer.
(Total for question = 3 marks)
Q29.
Axel and Lethna are driving along a motorway.
They see a road sign.
The road sign shows the distance to Junction 8
It also shows the average time drivers take to get to Junction 8
The speed limit on the motorway is 70 mph.
Lethna says
"We will have to drive faster than the speed limit to drive 30 miles in 26 minutes."
Is Lethna right?
You must show how you get your answer.
(Total for question = 3 marks)
Q30.
A train travelled along a track in 110 minutes, correct to the nearest 5 minutes.
Jake finds out that the track is 270 km long.
He assumes that the track has been measured correct to the nearest 10 km.
(a) Could the average speed of the train have been greater than 160 km/h?
You must show how you get your answer.
(4)
Jake's assumption was wrong.
The track was measured correct to the nearest 5 km.
(b) Explain how this could affect your decision in part (a).
.............................................................................................................................................
.............................................................................................................................................
.............................................................................................................................................
(1)
(Total for question = 5 marks)
Q31.
* A road is 4530 m long, correct to the nearest 10 metres.
Kirsty drove along the road in 205 seconds, correct to the nearest 5 seconds.
The average speed limit for the road is 80 km/h.
Could Kirsty's average speed have been greater than 80 km/h?
You must show your working.
(Total for question = 5 marks)
Q32.
James and Peter cycled along the same 50 km route.
James took hours to cycle the 50 km.
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.
Word out Peter's speed.
........................................................... km/h
(Total for question = 5 marks)
Q33.
On Monday, Tarek travelled by train from Manchester to London.
Tarek's train left Manchester at 08 35
It got to London at 11 05
The train travelled at an average speed of 110 miles per hour.
On Wednesday, Gill travelled by train from Manchester to London.
Gill's train also left at 08 35 but was diverted.
The train had to travel an extra 37 miles.
The train got to London at 11 35
Work out the difference between the average speed of Tarek's train and the average speed
of Gill's train.
........................................................... miles per hour
(Total for question = 4 marks)
Q34.
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.
(Total for question is 4 marks)
Q35.
* Axel and Lethna are driving along a motorway.
They see a road sign.
The road sign shows the distance to Junction 8
It also shows the average time drivers will take to get to Junction 8
To Junction 8
30 miles
26 minutes
The speed limit on the motorway is 70 mph.
Lethna says,
'We will have to drive faster than the speed limit to go 30 miles in 26 minutes.'
Is Lethna right?
You must show how you got your answer.
(Total for Question is 3 marks)
Q36.
* Axel and Lethna are driving along a motorway.
They see a road sign.
The road sign shows the distance to Junction 8
It also shows the average time drivers will take to get to Junction 8
The speed limit on the motorway is 70 mph.
Lethna says,
'We will have to drive faster than the speed limit to go 30 miles in 26 minutes.'
Is Lethna right?
You must show how you got your answer.
(Total for Question is 3 marks)
Q37.
* Debbie drove from Junction 12 to Junction 13 on a motorway.
The travel graph shows Debbie's journey.
Ian also drove from Junction 12 to Junction 13 on the same motorway.
He drove at an average speed of 66 km/hour.
Who had the faster average speed, Debbie or Ian?
You must explain your answer.
(Total for Question is 4 marks)
Q38.
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.
..............................................................................................................................................
(Total for Question is 3 marks)
Q39.
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.
..............................................................................................................................................
(Total for Question is 3 marks)
Q40.
On Monday, Tarek travelled by train from Manchester to London.
Tarek's train left Manchester at 08 35
It got to London at 11 05
The train travelled at an average speed of 110 miles per hour.
On Wednesday, Gill travelled by train from Manchester to London.
Gill's train also left at 08 35 but was diverted.
The train had to travel an extra 37 miles.
The train got to London at 11 35
Work out the difference between the average speed of Tarek's train and the average speed
of Gill's train.
........................................................... miles per hour
(Total for question = 4 marks)
