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Graphs of Physical Phenomena
Book - Series K-1
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s
t
Mathletics
Instant
Workbooks
Copyright ©
Graphs of Physical Phenomena
Student Book - Series K
Contents
Topics
Date completed
Topic 1 - Dependent and independent variables (1)
__/__/__
Topic 2 - Dependent and independent variables (2)
__/__/__
Topic 3 - Distance-time graphs
__/__/__
Topic 4 - Column graphs and sector graphs
__/__/__
Topic 5 - Step graphs and conversion graphs
__/__/__
Topic 6 - Graphs describing other rates
__/__/__
Practice Tests
Topic 1 - Topic test A
__/__/__
Topic 2 - Topic test B
__/__/__
Author of The Topics and Topic Tests: AS Kalra
Graphs of physical phenomena
Mathletics Instant Workbooks – Series K
Copyright © 3P Learning
CHAPTER 7
CHAPTER 7
Graphs
of physical ph
Cphenomena
HAPTER
Graphs
ofof
physical
CHAPTER
7
Graphs
physical
phenomena
7
Graphs
of
physical
pheno
Graphs
of
physical
phenomena
CHAPTER 7
UNIT
1: Dependent
and in
UNIT
1: Dependent
and
independent
variables
(1) (1)
UNIT
1: Dependent
and
independent
variables
Graphs
of
physical
phenome
Graphs
of
physical
phenomena
UNIT
1:
Dependent
indepen
Dependent
and
independent
variables
(1)
Which
of
the followingand
are variables
a
Q
of the1:
following
are variables
and which
are constants?
Q 1 Which
1 UNIT
Which
of
the
following
are
variables
andQwhich
are1constants?
Graphs
of
physical
phenomena
Graphs
of
physical
phenomena
1: of
Dependent
independent
UNIT
Dependent
and independent
variables
Q which are
1UNIT
Which
the(1)
followingand
are variables
and whi
Q
1 Which
of the1:following
are variables
and
constants?
ANSWERS
ANSWERS
page 153
page 153
ANSWERS
page 153
UESTION
UESTION
UESTION
UESTION
UESTION
ANSWERS
page 153
ANSWERS
page 153
size
your
dining
______________
aTopic
The
of
your
dining
table.
______________
b (1)
The
of of
a piece
of
wood.
___________
Dependent
independent
variables
a 1:size
The
size
ofUNIT
yourand
dining
table.
______________
b a thickness
TheThe
thickness
of
a piece
oftable.
wood.
___________
1:
Dependent
and
independent
variables
(1)
Q
UESTION
1
Which
of
the
following
are
variables
and which are c
QUESTION 1 Which of the following are variables and
whichsize
areofconstants?
a
your
dining
table.
______________
b
Th
a
The
size
of
your
dining
table.
______________
b
The
thickness
of
a
piece
of
wood.
___________
______________________________________
______________________________________
_______________________________________
______________________________________
_______________________________________
QUESTION
1 Which of the following are variables
and
which
are
constants?
a
Thebsize_______________________________________
of your
diningoftable.
______________
b
The thickne
a
The
size of your dining table. ______________
The
thickness
a piece
of wood. ___________
______________________________________
___
______________________________________
sound
music.
_____________________
c
The
of music.
_____________________
The
of rainfall
in a forest.
___________
c sound
The sound
of music.
_____________________d
d c amount
TheThe
amount
ofofrainfall
in
a forest.
___________
a
The
size of your dining table. ______________
b _______________________________________
The thickness of a piece of wood. ___________ _________
______________________________________
sound
ofofmusic.
_____________________
d
Th
c
The
sound of music. _____________________ ______________________________________
dc _______________________________________
The amount
rainfall
in a forest. ___________
______________________________________
______________________________________
______________________________________
_______________________________________
______________________________________
_______________________________________
c
Thedsound
ofamount
music. of
_____________________
d
The amoun
c
The
sound of music. _____________________
The
rainfall in a forest. ___________
______________________________________
___
______________________________________
_______________________________________
area
of
_____________
e
The
a basketball
court.court.
_____________
The
of a triangular
prism.court.
___________
e area
The of
area
of a basketball
_____________f
f e volume
TheThe
volume
of aa basketball
triangular
prism.
___________
c
The
sound
of
music.
_____________________
d
The
amount
of
rainfall
in
a
forest.
___________
______________________________________
_______________________________________
area______________________________________
of aofbasketball
court.
_____________
f
Th
e
The
area of a basketball court. _____________ ______________________________________
fe _______________________________________
The
volume
a triangular
prism.
___________ _________
______________________________________
______________________________________
_______________________________________
______________________________________
_______________________________________
e
Thef area_______________________________________
of avolume
basketball
_____________
f
The volum
e
The
area of a basketball court. _____________
The
of acourt.
triangular
prism. ___________
______________________________________
___
______________________________________
Q
UESTION
2
Identify
the
independent
variable
and t
Q
UESTION
2
Identify
the
independent
variable
and
the
dependent
variable
in
the
following.
Q
UESTION
2
Identify
the
independent
variable
and
the
dependent
variable
in
the
following.
e
The
area of a basketball court. _____________ ______________________________________
f
The volume of a triangular prism. ___________ _________
______________________________________
_______________________________________
Q
UESTION
2Thevariable
Identify
the
independent
and
the dep
Q
UESTION
2
Identify
the
independent
variable
and
the
dependent
following.
a_________________________________________
amount in
of the
fuel
consumed variable
by a car as
it accelerat
a
The
amount
of fuel
by a car
it accelerates._________________________________________
a______________________________________
The amount
ofconsumed
fuel consumed
by aascar
as it accelerates.
_______________________________________
QUESTION
Identify
the
independent
variable
dependent
2 Identify
the independent
and the
variable
in the following.
a 2dependent
The
amount
of fuel
consumed
by a car and
as it the
accelerates.
____v
aQUESTION
The amount
of fuel consumed
by a carvariable
as it accelerates._________________________________________
___________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
QUESTION
2 Identify
the independent
variable
and
the
dependent
variable
in
the
astudies
Theand
amount
of fuel
consumed
a following.
carstudents
as it accelerates.
_________________________________________________
The number
amount
of hours
fuel
by a devote
car
ittoaccelerates._________________________________________
______________________________________________________________________________________
b the
The
number
ofby
hours
devote to ___________
their studies
ba
students
devote
to as
their
the
they
get.
b
The number
of consumed
hours
students
their studies
andmarks
marks
they________________________
get.
________________________
________________________________________________________
a
The
amount
of
fuel
consumed
by
a
car
as
it
accelerates._________________________________________
b the
Themarks
number
hours
students devote to their studies and the
b ______________________________________________________________________________________
number
hours students devote to their studies and
theyofget.
________________________
___________________________________________
______________________________________________________________________________________
bstudies
Theand
number
of hours
students
to their
studies
theand
marks
th
_________________________________________________
of soft
hours
students
their
the
they
get.
number
ofdevote
softmakes.
drink
cans
a____________
shopand
sells
the am
cb ______________________________________________________________________________________
cans devote
acans
shopa to
sells
and
the
ofcmarks
money
the
shopkeeper
____________
cThe number
The number
ofdrink
soft
drink
shop
sells
andamount
the amount
ofThe
money
the________________________
shopkeeper
makes.
The number of soft
hours
students
their
they
cand the
The
number
ofget.
soft________________________
drink cans
a shop
sells and the amount of
cb ______________________________________________________________________________________
drink
cans devote
a shop to
sells
andstudies
the________________________________________________________
amount
ofmarks
money
the
shopkeeper
makes.
____________
___________________________________________
______________________________________________________________________________________
c hotThe
number
of soft
drink
cans
sellsadds
and to
thefood
amount
money
_________________________________________________
The more
number
of soft
drink
cans to
a shop
and
amount
offood
shopkeeper
makes.
____________
______________________________________________________________________________________
dmoney
Thethe
more
chillia ashop
person
and of
how
hot th
dc
chilli
a person
adds
food
and
the
d
The more
chilli
a person
adds
to sells
foodhow
andthe
how
hotfood
the
________________________________________________________
c
The
number
of
soft
drink
cans
a
shop
sells
and
the
amount
of
money
the
shopkeeper
makes.
____________
d food
The more chilli a person
adds to food and how hot the food
______________________________________________________________________________________
d
more chilli
a person adds to food and how hot the
becomes.__________________________
becomes.______________________________
becomes.______________________________
d hot
The
a person
adds to food and how hot the food
______________________________________________________________________________________
becomes.______________________________
d ______________________________________________________________________________________
The
more
chilli
a person adds to food and how
themore
food chilli ___________________________________________
becomes.______________________________
______________________________________________________________________________________
becomes.______________________________
The more chilli
a personyou
adds to food
and
howand
hotits
theeffect
food on
becomes.______________________________
______________________________________________________________________________________
e your
Theyour
amount of practice you have on the piano and it
ed The
of practice
on the
e amount
The amount
of practicehave
you have
onpiano
the piano
and its_________________________________________________
effect
on
becomes.______________________________
The
you have____________________
on the piano and its effect
______________________________________________________________________________________
e
The
amount
of practice
you
have
on the piano and________________________________________________________
itse effect
onamount
your of practice
performance.
performance.
____________________
performance.
____________________
e andThe
practice
you have____________________
on the piano and its effect on your
______________________________________________________________________________________
performance.
e
The
amount
of practice you
have on the piano
its amount
effect onofyour
performance.
____________________
___________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
performance.
____________________
The amountperformance.
of baking
practicepowder
you
have
the piano
and itshow
effect
on
your
____________________
______________________________________________________________________________________
f the
The
amount
of baking
powder you add to a cake and
fe The
of
youonadd
a cake
high
cake
will
____________________
f amount
The amount
of baking
powder
youtoadd
to a and
cake and_________________________________________________
how
high
the
cakerise.
will
rise. ____________________
________________________________________________________
performance.
____________________
ofwill
baking
you add to a cake and how hi
f
The amount
of baking powder you add to a cake andf howThe
highamount
the___________________________________________
cake
rise.powder
____________________
______________________________________________________________________________________
______________________________________________________________________________________
f
The how
amount
baking
add to a cake and how high the ca
_________________________________________________
f
The amount of baking powder you add to a cake
and
highofthe
cake powder
will rise.you
____________________
______________________________________________________________________________________
Qvariable
UESTION
3
Ifshould
the
are to be drawn
QUESTION
3 If3theIffollowing
graphs
are toare
betodrawn,
whichwhich
should
go following
ongothe
QUESTION
the following
graphs
be drawn,
variable
onhorizontal
thegraphs
horizontal
f
The amount of baking powder you add to a cake ________________________________________________________
and how high the cake will rise. ____________________
______________________________________________________________________________________
QUESTION
3 If the
following
are to be drawn, whic
QUESTION 3 If the following graphs are to be drawn,
which variable
should
go on graphs
the horizontal
axis
axis axis
______________________________________________________________________________________
QUESTION
3 If variable
the following
graphs
to
be drawn,
which
variab
QUESTION 3 and
If the following
graphs
are
to be
drawn,
go
onare
the
horizontal
and
which
should
go on the
vertical
ax
should
go ongo
the
axis?which
axisshould
and which
should
onvertical
the vertical
axis?
axis which
Q
UESTION
3
If
the
following
graphs
are
to
be
drawn,
which
variable
should
go
on
the
horizontal
should go
thetotal
vertical
a
Theand
areawhich
of a courtyard
andonthe
cost ofaxis?
paving i
and
should
go
oncost
the of
vertical
axis?
a
The
a courtyard
and the
total
paving
it. __________________________________________
axis
a area
The of
area
ofwhich
a courtyard
and
the
total
cost
of paving
it. __________________________________________
axis
and
which
should goand
onthe
thetotal
vertical
axis?
The
area
of a courtyard
cost of
paving it. _____
a ______________________________________________________________________________________
The area
ofand
a courtyard
and thego
total
pavingaxis?
it.a __________________________________________
___________________________________________
which should
oncost
the of
vertical
axis
______________________________________________________________________________________
The
area
ofbamuch
courtyard
and
total cost
of paving
_________________________________________________
and
which
go
onworks
thea store
vertical
axis?
The number
area
aofcourtyard
anda the
total
cost
of
it.
__________________________________________
______________________________________________________________________________________
The
ofishours
a student
worksit.in____________
a store and h
ba
hours
a should
student
works
in
and
how
much
the
student
is the
b
The of
number
of hours
student
inapaving
a store
and
how
thenumber
student
ba
b
cb
c
dc
dc
76
ed
76
d
f76
76
________________________________________________________
area ofpaid.
aofcourtyard
and theworks
total cost
paving
it.
b __________________________________________
The number
of hours
a student
works in a store and how muc
______________________________________________________________________________________
The
number
hours
a____________________
student
in a of
store
and
how
much
the student
is paid.
____________________
____________________
paid.
b and
The
number
a student
works in a store and how much the stu
______________________________________________________________________________________
paid.
____________________
The
number
of hours
a student works in a store
how
muchof
thehours
student
is
paid.
____________________
___________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
paid.
____________________
student
is_________________________
number
of people
hours
aemployed
student
works
in
how
_________________________________________________
paid.
____________________
______________________________________________________________________________________
cof the
The
number
of _________________________
people employed in a factory and the
The
of
in a factory
andand
the
volume
production.
cThe number
The number
of people
employed
in aa store
factory
and
themuch
volume
of
production.
________________________________________________________
paid.
____________________
cvolume
Theofnumber
of people
employed in a factory and the volume
The number
of people
employed in a factory and the
production.
_________________________
___________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
cand
The
number
people
employed
in a factory
produ
_________________________________________________
_________________________
The number
of hours
people
employed
a factory
the
volume
______________________________________________________________________________________
dofofproduction.
The number
of hours
walkedand
andthe
thevolume
distanceoftravell
walked
andinthe
distance
travelled.
d
The number
of hours
walked
and
the distance
travelled.
________________________________________________________
employed
the
production.
_________________________
dvolume
Theofnumber
of hours
walked and the distance travelled.
______________________________________________________________________________________
The
number of people
hours walked
andinthea factory
distanceand
travelled.
EXCEL
ESSEN
EXCEL ESSENTIAL
SKILLS:76
YEAR
10YEAR
MATHEMATICS
REVISION
AND EXAM
1
EXCEL
ESSENTIAL
SKILLS:
10 MATHEMATICS
REVISION
ANDWORKBOOK
EXAM WORKBOOK
1
d travelled.
The
number
walked
and
the
distance
travelled.
______________________________________________________________________________________
The
number of
of hours
hours the
walked
76 number
The
rain and
fallsthe
anddistance
the amount
of water
on of
thehours
roads.
EXCEL1 ESSENTIAL SKILL
EXCEL ESSENTIAL
76 SKILLS: YEAR 10 MATHEMATICS REVISION AND EXAM WORKBOOK
The number of hours walked and the distance travelled.
76
EXCEL
ESSENTIAL1SKILLS: YEAR 10
EXCEL ESSENTIAL SKILLS: YEAR 10 MATHEMATICS REVISION AND EXAM
WORKBOOK
The number of people gathered in the concert hall and the volume of the noise.
EXCEL ESSENTIAL SKILLS: YEAR 10 MATHEMATICS REVISION AND EXAM WORKBOOK 1
Graphs of physical phenomena
Mathletics Instant Workbooks – Series K
Copyright © 3P Learning
1
Graphs of physical phenomena
Graphs of physical phenomena
ANSWERS
page 154
UNIT 2: Dependent and independent variables (2)
Topic 2: Dependent and independent variables (2)
QUESTION 1 Consider the equation y = 3x + 1.
a
b
c
d
e
When drawing up a table of values, for which variable
(x or y) do we choose different values?
_____________________________________________
Which is the independent variable?
_____________________________________________
Which variable depends on the independent variable?
_____________________________________________
Which is the dependent variable?
_____________________________________________
Draw up a table of values for y = 3x + 1, x 0
x
0
1
2
3
4
5
6
y
f
Graph y = 3x + 1 on the axes provided.
QUESTION 2 Determine which is the dependent and which the independent variable for each equation?
a
b
y = 5x – 4
c
p = 8q + 7
m = 12 – 5n
independent: _____________
independent: _____________
independent: _____________
________________________
________________________
_______________________
dependent: _______________
dependent: _______________
dependent: ______________
________________________
________________________
_______________________
QUESTION 3 Complete each table of values, label the axes correctly and graph:
a
b
s = 2t + 3
t
0
1
2
3
m = 4k – 5
k
s
0
1
2
3
m
77
Chapter 7: Graphs of physical phenomena
Graphs of physical phenomena
Mathletics Instant Workbooks – Series K
Copyright © 3P Learning
2
Graphs of physical phenomena
Graphs of physical phenomena
ANSWERS
page 154
UNIT 3: Distance–time graphs
Topic 3: Distance-time graphs
QUESTION 1 Suzie and Roger start at 10 a.m. from Sydney for a trip north and travel 160 km in 2
hours at a constant speed of 80 km/h. Between 12 noon and 1 p.m. they stop for lunch.
Then from 1 p.m. to 5 p.m. they travel at a constant speed of 60 km/h until they reach
their destination.
a
Drawn a line graph to represent the above information.
b
Find the total distance that Suzie and Roger travelled
to reach their destination. ________________________
360
______________________________________________
320
How will you know from the graph when their speed is
280
greatest? _____________________________________
240
______________________________________________
d
e
How will you known from the graph that they are having
Distance R
c
Trip North
400
200
160
lunch? _______________________________________
120
______________________________________________
80
What was their average speed over the whole trip? ____
40
______________________________________________
10 11 12
1
2
3
4
5
a.m. a.m. noon p.m. p.m. p.m. p.m. p.m.
______________________________________________
Time R
QUESTION 2 Use this graph to find the speed
of the car in km/h.
Speed = ___________________________________
__________________________________________
200
__________________________________________
175
150
__________________________________________
125
__________________________________________
__________________________________________
Distance (metres)
__________________________________________
__________________________________________
Motion of the car
100
75
50
•
25
__________________________________________
0
1
•
2
__________________________________________
78
•
3
•
4
5
6
7
Time (seconds)
8
9
10
EXCEL ESSENTIAL SKILLS: YEAR 10 MATHEMATICS REVISION AND EXAM WORKBOOK 1
Graphs of physical phenomena
Mathletics Instant Workbooks – Series K
Copyright © 3P Learning
3
Graphs of physical phenomena
Graphs of physical phenomena
ANSWERS
page 154
UNIT 4: Column graphs and sector graphs
Topic 4: Column graphs and sector graphs
QUESTION 1 In 2005 there were 240 students in Year 10 at Green Waters High School. The sector graph
a
b
How many students were employed?
_____________________________
_____________________________
What fraction were unemployed?
_____________________________
_____________________________
yed
_____________________________
pl o
How many students entered Year 11?
_____________________________
Entered
Year 11
Employed
em
Un
c
shows what all the Year 10 students were doing at the beginning of 2006.
Enrolled at
Tech Colleges
QUESTION 2 The column graph shows average annual rainfall for the city of Green Waters.
Av erag e Annual
Rai nfal l – Ci ty
o f Green Waters
150
140
130
Rainfall (mm)
120
110
100
90
80
70
60
a
J
F M A M J Jy A S O N D
Months
Which month has the highest average rainfall? ________________________________________________
______________________________________________________________________________________
b
What is the average rainfall for June? _____________________________________________________
______________________________________________________________________________________
c
What month has an average rainfall of 140 mm? _____________________________________________
______________________________________________________________________________________
d
For what months is the average rainfall above 90 mm? ________________________________________
______________________________________________________________________________________
e
Which month has the lowest average rainfall? _______________________________________________
______________________________________________________________________________________
79
Chapter 7: Graphs of physical phenomena
Graphs of physical phenomena
Mathletics Instant Workbooks – Series K
Copyright © 3P Learning
4
Graphs of physical phenomena
Graphs of physical phenomena
ANSWERS
page 154
UNIT 5: Step graphs and conversion graphs
Topic 5: Step graphs and conversion graphs
QUESTION 1 The step graph shows the parking charges at a parking station in the city of Green
Waters.
_______________________________
For how much time can you park for
twelve dollars? __________________
_______________________________
c
d
e
$15.00
_______________________________
→
b
What is the cost for one hour? ______
Charges
a
$12.00
$9.00
$6.00
$3.00
_______________________________
What is the cost for 314 hours? ______
1
_______________________________
_______________________________
2
3
4
5
Time (hours)
6
What are the charges for 5 hours? ___________________________________________________________
_______________________________________________________________________________________
What is the maximum cost shown? __________________________________________________________
_______________________________________________________________________________________
QUESTION 2 Use the currency conversion graph below to answer the following questions.
100
Currency Co nv ers i o n Graph
$ AUS and $ US
90
80
70
$AUS
60
50
40
30
20
10
0
10 20 30 40 50 60 70 80 90 100
$US
a
Convert $US60 to Australian dollars. _________________________________________________________
b
Convert $AUS100 to United States dollars. ____________________________________________________
c
What does each division of the horizontal axis represent? _________________________________________
d
What does each division of the vertical axis represent? ___________________________________________
80
EXCEL ESSENTIAL SKILLS: YEAR 10 MATHEMATICS REVISION AND EXAM WORKBOOK 1
Graphs of physical phenomena
Mathletics Instant Workbooks – Series K
Copyright © 3P Learning
5
Graphs of physical phenomena
Graphs of physical phenomena
ANSWERS
page 154
UNIT 6: Graphs describing other rates
Topic 6: Graphs describing other rates
QUESTION 1
a
Amy and Albert own two take-away food shops, one in North Sydney and one in Manly.
The monthly sales (in dollars) for each shop are shown on the following radar chart.
For each of the stores, which month had the best sales?
Dec
____________________________________________
b
c
d
Find the monthly sales at the North Sydney shop in:
i
March __________________________________
ii
December _______________________________
Jan
25 000
20 000
Feb
15 000
Nov
Mar
10 000
5 000
Oct
Apr
Find the monthly sales at the Manly shop in:
i
July ____________________________________
ii
September _______________________________
Sep
May
Aug
Which shop had the lower sales throughout the year?
June
July
____________________________________________
Manly
North Sydney
QUESTION 2 Annie drew the following graph to give the weekly cost of running her car.
a
What is Annie’s weekly cost if she travels 600 km?
___________________________________________
___________________________________________
___________________________________________
45
What is the cost if she does not travel at all? _______
40
___________________________________________
30
___________________________________________
35
Cost ($)
b
___________________________________________
c
Weekly car cost
50
Why is this cost (in part b) not $0? Briefly explain.
___________________________________________
25
20
15
10
5
0
___________________________________________
100
200
300
400
Distance (km)
500
600
___________________________________________
81
Chapter 7: Graphs of physical phenomena
Graphs of physical phenomena
Mathletics Instant Workbooks – Series K
Copyright © 3P Learning
6
Graphs of physical phenomena
Topic
Test
TOPIC
TOPIC
TEST
TEST
Graphs
Graphs of
of physical
physical phenomena
phenomena
Time allowed: 15 minutes
Time
Timeallowed:
allowed:15
15minutes
minutes
PART A
PART
PART
A
ANSWERS
ANSWERS
Total marks
= 15
Total
Totalmarks
marks==15
15
page
page154
154
Marks
11 Change
Change90
90km/h
km/hinto
intokm/min.
km/min.
AA
11km/min
km/min
BB 1·5
1·5km/min
km/min
CC 22km/min
km/min
DD 2·5
2·5km/min
km/min
11
CC 90
90km/h
km/h
DD 100
100km/h
km/h
11
CC 144
144km/h
km/h
DD 154
154km/h
km/h
11
22 AAcar
cartravels
travels570
570km
kminin661313hours.
hours.Calculate
Calculatethe
theaverage
averagespeed.
speed.
AA
70
70km/h
km/h
BB 80
80km/h
km/h
33 AAspeed
speedof
of40m/s
40m/sisishow
howmany
manykm/h?
km/h?
AA
124
124km/h
km/h
BB 134
134km/h
km/h
44 AAcar
cartravels
travels48
48km
kmbetween
between7.45
7.45am
amand
and8.30
8.30am.
am.What
Whatisisits
itsaverage
averagespeed
speedininkm/h?
km/h?
AA
36
36km/h
km/h
BB 60
60km/h
km/h
CC 64
64km/h
km/h
DD 72
72km/h
km/h
11
55 InIntravelling
travelling300
300km,
km,aacar
caruses
uses50
50LLof
ofpetrol.
petrol.At
Atthis
thisrate,
rate,how
howmany
manylitres
litresof
ofpetrol
petrolare
areneeded
needed
tototravel
travel11km?
km?
AA
66LL
CC 0·16
0·16 LL
BB 33LL
DD 0·13
0·13 LL
11
66 For
Forthe
theequation
equationmm==15n
15n++40,
40,consider
considerthe
thefollowing
followingstatements:
statements:
IImmisisindependent
independentvariable
variable IIIInnisisthe
thedependent
dependentvariable.
variable.Which
Whichisiscorrect?
correct?
AA
IIonly
only
BB IIIIonly
only
CC both
bothIIand
andIIII
DD neither
neitherIInor
norIIII
11
DD 55
11
CC 22
DD 99
11
CC (0,
(0,0)
0)
DD (1,
(1,5)
5)
11
CC 2000
2000m/min
m/min
DD 7200
7200m/min
m/min
11
DD 100
100km/h
km/h
11
77 For
Forthe
theequation
equationyy==3x
3x++5,5,which
whichisisthe
thedependent
dependentvariable?
variable?
AA
xx
BB yy
CC 33
88 For
Forthe
theequation
equationss==2t2t++9,9,which
whichisisthe
theindependent
independentvariable?
variable?
AA
ss
BB t t
99 The
Theline
lineyy==5x
5xpasses
passesthrough
throughthe
thepoint:
point:
AA
(0,
(0,5)
5)
BB (5,
(5,0)
0)
10
10 Change
Change120
120km/h
km/hinto
intom/min.
m/min.
AA
22m/min
m/min
BB 7·2
7·2m/min
m/min
11
11 AAcar
cartravels
travels1360
1360km
kminin17
17hours.
hours.Calculate
Calculatethe
theaverage
averagespeed.
speed.
AA
60
60km/h
km/h
BB 80
80km/h
km/h
CC 90
90km/h
km/h
Total marks achieved for PART A
82
82
Graphs of physical phenomena
15
EXCEL
EXCELESSENTIAL
ESSENTIALSKILLS:
SKILLS:YEAR
YEAR10
10MATHEMATICS
MATHEMATICSREVISION
REVISIONAND
ANDEXAM
EXAMWORKBOOK
WORKBOOK11
Mathletics Instant Workbooks – Series K Copyright © 3P Learning
7
Graphs of physical phenomena
Topic Test
12
12 The
Thegradient
gradientofofthis
thisline
lineis:is:
A
A
C
C
33
33
55
PART A
yy
B
B 55
D
D 53 53
66
55
11
44
33
22
11
11 22 33 44 55 66
xx
13
13 The
Thesolution
solutiontotothese
thesetwo
twosimultaneous
simultaneous
equations
equationsis:is:
AA xx==3,3,yy==11
C
C
xx==4,4,yy==55
B
B xx==1,1,yy==33
D
D xx==5,5,yy==44
yy
55
44
11
33
22
11
11 22 33 44 55 66 xx
different
differentmasses
massesisisshown
shownininthe
thestep
step
graph.
graph.Two
Twoparcels
parcelsweighing
weighing0·5
0·5kg
kg
and
and2·25
2·25kg
kgare
aresent
sentseparately
separatelytoto
the
thesame
sameaddress.
address.How
Howmuch
muchwould
would
have
havebeen
beensaved
savedby
bysending
sendingthem
them
together?
together?
AA $1
$1
BB $2
$2
C
C
$3
$3
$10.00
$10.00
z z
$8.00
$8.00
z z
Cost ($)
Cost ($)
14
14 The
Thecost
costofofsending
sendingparcels
parcelsby
bypost
postfor
for
$6.00
$6.00
z z
$4.00
$4.00
$2.00
$2.00
D
D $4
$4
00
z z
z z
11
22
33
44
Weight
Weight(kg)
(kg)
55
11
15
15 This
Thisconversion
conversiongraph
graphhas
hasbeen
beendrawn
drawn
C
C
145
145km
km
D
D 175
175km
km
150
150
125
125
100
100
Miles
Miles
totoconvert
convertkilometres
kilometrestotomiles.
miles.
Ninety
Ninetymiles
milesisisapproximately:
approximately:
AA 55
55km
km
BB 75
75km
km
11
7575
5050
2525
4040 8080120
120160
160200
200240
240
Kilometres
Kilometres
Total marks achieved for PART A
Graphs of physical phenomena
Mathletics Instant Workbooks – Series K
Chapter
Chapter7:7:Graphs
Graphsofofphysical
physicalphenomena
phenomena
Total
Totalmarks
marksfor
forPART
PARTAA
Copyright © 3P Learning
15
15
158
83
83
Graphs of physical phenomena
TOPIC
TOPIC TEST
TEST
Topic Test
Graphs of physical phenomena
Time allowed: 15 minutes
Time
Time allowed:
allowed: 15
15 minutes
minutes
Answers
Question
Question 1
1
Which
Which of
of the
the following
following are
are variables
variables and
and which
which are
are constant?
constant?
aa
bb
iiii
cc
The
The area
area of
of your
your classroom
classroom floor.
floor.
The body
body temperature
temperature of
of aa patient.
patient.
The
bb
cc
The distance
distance from
from your
your home
home to
to school.
school.
The
The number
number of
of hours
hours spent
spent on
on exercise
exercise and
and its
its effect
effect on
on
The
health.
health.
The
The number
number of
of cars
cars on
on the
the road
road and
and the
the time
time taken
taken to
to
reach
reach school.
school.
The number
number of
of students
students in
in the
the class
class and
and the
the level
level of
of
The
concentration possible
possible for
for individual
individual students.
students.
concentration
Question
Question 2
2 The
The step
step graph
graph below
below shows
shows parking
parking charges
charges
at
at aa parking
parking station.
station. Use
Use the
the graph
graph to
to answer
answer
the
the following
following questions.
questions.
bb
cc
dd
ee
What
What is
is the
the cost
cost of
of parking
parking for
for one
one hour?
hour?
How
How long
long can
can you
you park
park for
for $15.00?
$15.00?
What
What is
is the
the cost
cost of
of 221212 hours
hours parking?
parking?
$10.00
$10.00
$10.00
000
111
222
333
444
555
Time
Time
Time(hours)
(hours)
(hours)
666
11
11
11
11
___________________________
___________________________
11
___________________________
___________________________
11
___________________________
___________________________
11
___________________________
___________________________
$5.00
$5.00
$5.00
Marks
___________________________
___________________________
___________________________
___________________________
$15.00
$15.00
$15.00
What
What is
is the
the parking
parking charge
charge for
for 55 hours?
hours?
What is
is the
the maximum
maximum cost
cost shown
shown on
on
What
the graph?
graph?
the
___________________________
___________________________
___________________________
___________________________
$20.00
$20.00
$20.00
Parking
Parking charge
charge
aa
___________________________
___________________________
___________________________
___________________________
Identify the
the independent
independent variable
variable and
and the
the dependent
dependent variable
variable
Identify
in each
each of
of the
the following:
following:
in
aa
ANSWERS
ANSWERS
ANSWERS
page
page
154
154
Total marks
= 15
Total
Total marks
marks == 15
15
ii
PART
PART B
B
PART B
11
11
11
___________________________
___________________________
11
___________________________
___________________________
11
___________________________
___________________________
11
___________________________
___________________________
11
___________________________
___________________________
11
Question
Question 3
3 The
The graph
graph below
below converts
converts students’
students’ test
test marks
marks
out
out of
of 150
150 to
to percentages.
percentages. Use
Use the
the graph
graph to
to
answer
answer the
the following
following questions.
questions.
bb
cc
dd
A
A student
student gets
gets 120
120 marks
marks out
out of
of 150.
150.
What
What percentage
percentage is
is this?
this?
As
As 50%
50% is
is aa pass
pass mark,
mark, how
how many
many
marks
marks out
out of
of 150
150 must
must aa student
student
get
get to
to obtain
obtain aa pass?
pass?
A
A distinction
distinction mark
mark is
is 80%
80% or
or better.
better.
How
How many
many marks
marks out
out of
of 150
150 are
are
needed
needed to
to gain
gain aa distinction?
distinction?
••
100
100
100
90
90
90
80
80
80
70
70
70
Percentage mark
mark
Percentage
aa
60
60
60
50
50
50
40
40
40
30
30
30
20
20
20
10
10
10
000
A
A student
student has
has to
to be
be demoted
demoted to
to aa
lower
lower class
class ifif they
they get
get 30
30 marks
marks or
or
less
less out
out of
of 150.
150. What
What percentage
percentage is
is this?
this?
15
15
15 30
30
30 45
45
45 60
60
60 75
75
75 90
90
90 105
105
105120
120
120135
135
135150
150
150
Test
Test
Testmarks
marks
marksout
out
outof
of
of150
150
150
Total
Total marks
marks for
for PART
PART B
B
Total marks achieved for PART B
84
84
15
15
15
EXCEL
EXCEL
EXCELESSENTIAL
ESSENTIAL
ESSENTIALSKILLS:
SKILLS:
SKILLS:YEAR
YEAR
YEAR10
10
10MATHEMATICS
MATHEMATICS
MATHEMATICSREVISION
REVISION
REVISIONAND
AND
ANDEXAM
EXAM
EXAMWORKBOOK
WORKBOOK
WORKBOOK111
Graphs of physical phenomena
Mathletics Instant Workbooks – Series K
Copyright © 3P Learning
9