SPEED, DISTANCE AND TIME
[ESTIMATED TIME: 75 minutes]
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EXAM QUESTION
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1. [3 marks]
M;/08*H'?;*-(1A8;1*/(*078*1B-981*B;'L/)8)F
DK K,C#%.+7/7.'*+<<U O$+%&+:+C-,(*+[?+$%&,D'*H
T-(O+-,D+C%*+#M'(#A'+*4''2+%&+O$ZCH
C'?*.?10*A;/08*)'A(*-==*10-:81*/(*H'?;*A';N/(:F
OF+ 1#*5+/'#(+%&+C#5L*5-Q&+B%8L+3@L--.M+5L'+(#5%-+-?+5L'+&,$O'(+-?+@#&2%2#5'*+?-(+
4]93!+$#5L'$#5%@*+5-+5L'+&,$O'(+-?+@#&2%2#5'*+?-(+4]93!+O%-.-8/+Q#*+X+K+F
+ 0L'+&,$O'(+-?+@#&2%2#5'*+?-(+4]93!+$#5L'$#5%@*+Q#*+EG
+ 6#7++ T-(R+-,5+5L'+&,$O'(+-?+@#&2%2#5'*+?-(+4]93!+O%-.-8/; PD
HHHHHHHHHHHHHHHHHHHHH O$ZC
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................................ km/h
OK2. 0C'+N-(2+6-($,.#+A%M'*+DC'+D%$'F+%&+$%&,D'*F+&''2'2+D-+7--O+#+D,(O'/H [3 marks]
;;;;;;;;;;;;;;;;;;;;;
2 Wendy travelled on the Eurostar train from St Pancras station to the Gare du Nord station. IJK
The Eurostar train travelled0%$'+]+:?+#
a distance ofN'%ACD+%&+OA+^+>?
495 km.
The journey
++++++ 0L'+ time was @#&2%2#5'*+
EG+ $#5L'$#5%@*+ 2 hours 15 Q'('+
minutes.
2%P%2'2+ O'5Q''&+ ^-,&2#5%-&+ #&2+ B%8L'(+ %&+ 5L'+
Q(#5%-+D+K+A
D%$'+-6+! $%&,D'*+%*+&''2'2+D-+7--O+#+D,(O'/+N%DC+#+N'%ACD+-6+" OAH
Work out the average speed of the Eurostar train in kilometres per hour.
++++++T(%D'+2-N&+#+6-($,.#+6-(+!
6O7++T-(R+-,5+5L'+&,$O'(+-?+^-,&2#5%-&+@#&2%2#5'*;
%&+D'($*+-6+"H
PO
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
;;;;;;;;;;;;;;;;;;;;;
................................ IJK PO km/h
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . km/h
3. I<'0-=*!*.-;N1K [3 marks]
E>?U<<5Q [
(Total for Question 2 is 3 marks) ;>:')&F7:
JF+ _$#(+5(#P'..'2+?(-$+:#%(-O%+5-+C-$O#*#+O/+5(#%&;
+ 0L'+`-,(&'/+5--R+DA+L-,(*+DX+$%&,5'*;
+3 The table shows information about the time, in minutes, spent on homework by each of
0L'+#P'(#8'+*=''2+Q#*+UG+R$YL;+
32 pupils in one night.
+ T-(R+-,5+5L'+2%*5#&@'+?(-$+:#%(-O%+5-+C-$O#*#;
Time (t minutes) Number of pupils
0 < t ! 20 7
20 < t ! 40 16
40 < t ! 60 3
60 < t ! 80 6 PJ
;;;;;;;;;;;;;;;;;;;;;+R$
I<'0-=*$*.-;N1K
(a) Calculate the percentage of the 32 pupils who spent more than 60 minutes on their
................................ km
homework.
Contains questions which have been reproduced with the kind Questions compiled by:
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permission of Pearson Education Limited UK @Maths4Everyone
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..........................................................................
4. (Total for Question 1 is 2 marks) [3 marks]
2 An aeroplane flew from Qatar to Bahrain.
The distance flown was 135 km.
The average speed was 180 km/h.
Work out the time taken.
Give your answer in minutes.
3 Here is a list of ingredients for making Apple and Raspberry Crumble for 6 people.
Apple and Raspberry Crumble
Ingredients for 6 people
120 grams plain flour
230 grams apples
200 grams raspberries ................................ minutes
160 grams soft brown sugar
5. 90 grams butter ............................................... minutes [3 marks]
2 A plane flew from Frankfurt to Hong Kong. (Total for Question 2 is 3 marks)
The flight
Sam wantstime was Apple
to make 10 hours
and45Raspberry
minutes. Crumble for 15 people.
The has
She average speed
enough was
plain 852 soft
flour, km/h.
brown sugar and butter.
Work out
Work out the
the amount
distanceoftheapples
planeand
flew.
the amount of raspberries Sam needs.
Do NOT write in this space.
3
*P40613A0324* Turn over
............................ km
apples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . grams
(Total for Question 2 is 3 marks)
................................ km
3 Diagram NOT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . grams
raspberries
7.8 cm accurately drawn
6. (Total for Question 3 is 3 marks) [3 marks]
x cm
4 The length of Rachael’s journey from her home to work is 72 km.
The journey takes 1 hour 20 minutes. 43°
Work out her average speed in km/h.
Work out the value of x.
Give your answer correct to 3 significant figures.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . km/h
................................ km/h
(Total for Question 4 is 3 marks)
7. 1'#F'+ [3 marks]
G.#&Q
!E+ S+5(#%&+5(#F'.*+D`X+Q$;
+ 45*+#F'(#8'+*=''2+?-(+5M'+a-,(&'/+%*+`H+Q$YM;
+ C-(Q+-,5+5M'+5%$'+5M#5+5M%*+a-,(&'/+5#Q'*;
+ _%F'+/-,(+#&*P'(+%&+M-,(*+#&2+$%&,5'*;
;;;;;;;;;;;;;;;;;;;;+M-,(*+;;;;;;;;;;;;;;;;;;;;+$%&,5'* O!
H;'/,<%P%-,:M0J
................................ hours .................... minutes
RE+8. CM'&+<'5'(+8-'*+5-+P-(QN+M'+@#&+G'+'#(./+-(+-&+5%$'+-(+.#5'; [4 marks]
+ 0M'+=(-G#G%.%5/+5M#5+M'+P%..+G'+'#(./+%*+H;E
+ 14Emily
82 Emilyis is driving
driving in in France.
France.
0M'+=(-G#G%.%5/+5M#5+M'+P%..+G'+.#5'+%*+H;D
She
She sees
sees this
this sign.
sign.
+ 6#7+ C-(Q+-,5+5M'+=(-G#G%.%5/+5M#5+M'+P%..+G'+-&+5%$';
Reims 196 km
Dijon 480 km
Lyon 672 km
+ +;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
HIJ
% 6G7+ <'5'(+P%..+8-+5-+P-(Q+EH+5%$'*+&'"5+$-&5M;
+ Emily
+ is going to drive to Dijon.
C-(Q+-,5+#&+'*5%$#5'+?-(+5M'+&,$G'(+-?+5%$'*+M'+P%..+G'+7,:<G+&'"5+$-&5M;
She plansistogoing
Emily drivetoatdrive to Dijon.
an average speed of 50 miles per hour.
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.
Use 5 miles
Work = 8 km.
out how long it should take Emily to drive to Dijon.
+ +;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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!"#$%&'()+*%! ................................
........................................................
(4)
...............................................................................
(Total for Question 1 is 3 marks)
9. [3 marks]
2 Here is part of a timetable for the Paris to Montpellier express train service.
Paris 06 07 10 07 18 07
Valence 08
Nimes 09 09 13 05 15 05
Montpellier 09 37 13 34 15 34
............................ km
(Total for Question 2 is 3 marks)
................................ km
Do NOT write in this space.
10. [3 marks]
2 Lizzy drove by car to visit her aunt.
She left home at 9 30 am. 3
*P43075A0324*
DO NOT WRITE IN THIS AREA
Lizzy arrived at her aunt;s house at 1115 am. Turn over
She drove a distance of 140 km.
Work out, in km/h, Lizzy;s average speed for the journey.
DO NOT WRITE IN T
km/h
.......................................................
................................ km/h
(Total for Question 2 is 3 marks)
3 7 9
11. [4 marks]
12 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 12 is 4 marks)
k3 + 1
13 m =
4
Make k the subject of the formula.
.........................................
(Total for Question 13 is 3 marks)
9
*S49816A0920*
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics - 99
Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Turn over
12. [3 marks]
1. The distance from Fulbeck to Ganby is 10 miles.
14 The distance from Fulbeck to Ganby is 10 miles.
The
Thedistance
distancefrom
fromGanby
GanbytotoHorton
Hortonisis1818miles.
miles.
10 miles 18 miles
Fulbeck Ganby Horton
Rakshaisisgoing
Raksha goingtotodrive
drivefrom
fromFulbeck
FulbecktotoGanby.
Ganby.
Then she will drive from Ganby to Horton.
Then she will drive from Ganby to Horton.
Raksha
Rakshaleaves
leavesFulbeck
Fulbeckatat10100000
She
Shedrives
drivesfrom
fromFulbeck
FulbecktotoGanby
Ganbyatatananaverage
averagespeed
speedofof
40mph.
40mph.
Raksha wants to get to Horton at 10 35
Raksha wants to get to Horton at 10 35
Work out the average speed Raksha must drive at from Ganby to Horton.
Work out the average speed Raksha must drive at from Ganby to Horton.
.......................................... mph
(Total for Question 14 is 3 marks)
................................................ mph
(3)
-1- ................................ mph
16
*P45870A01628*
13. [3 marks]
2. David drives to the supermarket on his way home from work.
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.
Can David get home before 1900?
Give reasons for your answer.
(3)
-2-
14. [3 marks]
10. 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.
................................................ mph
................................ mph
(3)
15. [3 marks]
40. The distance from Caxby to Drone is 45 miles.
11 The
Thedistance
distancefrom
fromDrone
CaxbytotoElton
Droneis 20 miles.
is 45 miles.
The distance from Drone to Elton is 20 miles.
45 miles 20 miles
Caxby Drone Elton
Colin drives from Caxby to Drone.
Thendrives
Colin he drives
fromfrom Drone
Caxby to Elton.
to Drone.
Then he drives from Drone to Elton.
Colin drives from Caxby to Drone at an average speed of 30 mph.
Colin drivesfrom
He drives fromDrone
CaxbytotoElton
Droneat at
anan average
average speed
speed ofof
4030 mph.
mph.
He drives from Drone to Elton at an average speed of 40 mph.
Workout
Work outColin's
Colin’saverage
averagespeed
speedfor
forthe
thewhole
wholejourney
journeyfrom
fromCaxby
CaxbytotoElton.
Elton.
25 The expression x2 – 8x + 21 can be written in the form (x – a)2 + b for all values of x.
(a) Find the value of a and the value of b.
a = ..........................................
b = ..........................................
(3)
-4-
The equation of a curve is y = f(x) where f(x) = x2 – 8x + 21................................................ mph
.............................................
................................ mph
mph
(3)
(Total for Question 11 is 3 marks)
The diagram shows part of a sketch of the graph of y = f(x).
16. [3 marks]
16. 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.
........................................................
(3)
-6- .......................................
17. [5 marks]
43 James and Peter cycled along the same 50 km route.
1
James took 2 hours to cycle the 50 km.
2
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.
............................................... km/h
(5)
-13-
................................ km/h
18. [4 marks]
95 Harry travels from Appleton to Brockley at an average speed of 50 mph.
He then travels from Brockley to Cantham at an average speed of 70 mph.
Harry takes a total time of 5 hours to travel from Appleton to Cantham.
The distance from Brockley to Cantham is 210 miles.
Calculate Harry's average speed for the total distance travelled from Appleton to Cantham.
................................................ mph
(4)
-17-
................................ mph
19. [3 marks]
97 An object is travelling at a speed of 2650 metres per second.
How many seconds will the object take to travel a distance of 3.45 × 1010 metres?
Give your answer in standard form, correct to 2 significant figures.
.......................................... seconds
(3)
................................ seconds
20. [4 marks]
12. Steve travelled from Ashton to Barnfield.
He travelled 235 miles, correct to the nearest 5 miles.
The journey took him 200 minutes, correct to the nearest 5 minutes.
Calculate the lower bound for the average speed of the journey.
Give your answer in miles per hour, correct to 3 significant figures.
You must show all your working.
................................................ mph
(4)
-19-
................................ mph
21. [3 marks]
34 A spacecraft travels from Earth to Mars at an average speed of 13 km/s.
The spacecraft travels a distance of 1.4 × 108 miles.
Calculate the number of days the spacecraft takes to travel from Earth to Mars.
Use
1 mile = 1.6 km
1 km/s = 2250 miles per hour
................................ days
22. ................................................ days [5 marks]
(3)
96 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.
You must show how you get your answer.
-7-
23. [5 marks]
36. 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.
8 Ying eats some yoghurt.
The yoghurt contains 192 mg of calcium.
This is 16% of the total amount of calcium that Ying should have each day.
Work out the total amount of calcium that Ying should have each day.
(5)
..................................................... mg
(Total for Question 8 is 3 marks)
24. [3 marks]
9 A plane flew from Bogotá to Quito.
The distance the plane flew was 725 km.
The time taken by the plane was 1 hour 24 minutes.
Work out the average speed of the plane.
Give your answer correct to 3 significant figures.
-9-
................................ km/h
