Image absente : /home/_math/_exercice/d1/1425/metapost/coteIvoire.svg
/home/_math/_exercice/d1/1425/metapost coteIvoire
Compilation SVG ex:-1 fichier:coteIvoire.mp
/usr/bin/mpost -interaction=nonstopmode -halt-on-error -tex=/usr/bin/latex -s 'outputformat="svg"' -s prologues=3 -s 'outputtemplate="%j-%c.svg"' '\def filenametemplate text t = enddef; fontmapfile "=/home/_siteWeb/chingmath.fr/gestion/svg/psfonts-nouveau.map"; input coteIvoire' 2>&1
Erreur MetaPost ex:-1
This is MetaPost, version 2.10 (TeX Live 2025/dev/Debian) (kpathsea version 6.4.0/dev)
! I can't write on file `coteIvoire.log'.
Please type another transcript file name Image absente : /home/_math/_exercice/d1/1444/metapost/cameroun3.svg
/home/_math/_exercice/d1/1444/metapost cameroun3
Compilation SVG ex:-1 fichier:cameroun3.mp
/usr/bin/mpost -interaction=nonstopmode -halt-on-error -tex=/usr/bin/latex -s 'outputformat="svg"' -s prologues=3 -s 'outputtemplate="%j-%c.svg"' '\def filenametemplate text t = enddef; fontmapfile "=/home/_siteWeb/chingmath.fr/gestion/svg/psfonts-nouveau.map"; input cameroun3' 2>&1
Erreur MetaPost ex:-1
This is MetaPost, version 2.10 (TeX Live 2025/dev/Debian) (kpathsea version 6.4.0/dev)
! I can't write on file `cameroun3.log'.
Please type another transcript file name Image absente : /home/_math/_exercice/d0/399/metapost/cameroun3.svg
/home/_math/_exercice/d0/399/metapost cameroun3
Compilation SVG ex:-1 fichier:cameroun3.mp
/usr/bin/mpost -interaction=nonstopmode -halt-on-error -tex=/usr/bin/latex -s 'outputformat="svg"' -s prologues=3 -s 'outputtemplate="%j-%c.svg"' '\def filenametemplate text t = enddef; fontmapfile "=/home/_siteWeb/chingmath.fr/gestion/svg/psfonts-nouveau.map"; input cameroun3' 2>&1
Erreur MetaPost ex:-1
This is MetaPost, version 2.10 (TeX Live 2025/dev/Debian) (kpathsea version 6.4.0/dev)
! I can't write on file `cameroun3.log'.
Please type another transcript file name Image absente : /home/_math/_exercice/d1/1734/metapost/coteIvoire.svg
/home/_math/_exercice/d1/1734/metapost coteIvoire
Compilation SVG ex:-1 fichier:coteIvoire.mp
/usr/bin/mpost -interaction=nonstopmode -halt-on-error -tex=/usr/bin/latex -s 'outputformat="svg"' -s prologues=3 -s 'outputtemplate="%j-%c.svg"' '\def filenametemplate text t = enddef; fontmapfile "=/home/_siteWeb/chingmath.fr/gestion/svg/psfonts-nouveau.map"; input coteIvoire' 2>&1
Erreur MetaPost ex:-1
This is MetaPost, version 2.10 (TeX Live 2025/dev/Debian) (kpathsea version 6.4.0/dev)
! I can't write on file `coteIvoire.log'.
Please type another transcript file name image PNG : /home/_math/_exercice/d1/1429/metapost/04_1.png
image PNG : /home/_math/_exercice/d1/1427/metapost/04_2.png
image PDF : /home/_math/_exercice/d11/11664/image/cite_scolaire_combes2.pdf
ChingQuizz
:
2
exercises
a v ailable
for
Quizz
assessmen t
:
1.
Reminders
on
pr op ortionality
E.1709
The
purp ose
of
this
exercise
is
to
complete
the
prop ortionalit y
tables
prop osed
b elo w
using
the
three
tec hniques
kno wn
in
sixth
grade
ab out
prop ortionalit y :
1
Passage
to
unit :
Numb er
of
min utes
1
7
2.5
Communication
price
(in
e
)
0.40
1
12
2
Horizontal
displacemen t
(linearity
pr op erty)
:
Run
time
(in
min)
2
4
7
9
Distance
tra v eled
(in
m)
650
1625
2275
3
Coefficien t
of
prop ortionalit y :
Numb er
of
lengths
2
7
11
23
Distance
tra v eled
(in
m
)
50
E.1707
F or
eac h
question,
justify
that
the
table
is
not
a
prop ortionalit y
table
:
1
Tiller
w eigh t
(p er
kg)
1
5
6.5
12
Strawb erry
prices
(in
e
)
3.40
17
22.10
40.60
2
Metal
w eigh t
(in
kg
)
4
8
12
40
Metal
v olume
(liter)
0.5
1
1.6
5
E.10147
Justify
that
the
table
is
not
a
pro- p ortional
table
:
Numb er
of
letters
2
21
114
2008
Shipping
price
(in
e
)
1
11
57
1004
E.1454
The
t w o
tables
b elo w
are
not
pro- p ortional.
Justify
this
statemen t
:
a
5
10
15
10
15
20
b
12
18
30
8.4
12.6
20
E.1452
Using
the
horizon tal
displacemen ts,
complete
the
prop ortionalit y
table
b elo w
:
3
1
4
2.1
21
10.5
2.
Switching
to
the
unit
E.1733
Consider
the
table
b elo w
:
1
3.125
2.5
4
150
0.32
1
40
64
12.8
1
Chec k
that
the
first
t w o
columns
of
this
table
form
a
prop ortionalit y
situation.
2
Complete
the
table
to
obtain
a
situation
of
prop ortional- it y
b et w een
the
t w o
ro ws
of
the
table.
E.401
Consider
the
table
b elo w
:
1
0.16
3.6
4
12
6.25
1
2.5
3
4.4
1
Chec k
that
the
first
t w o
columns
of
this
table
form
a
prop ortionalit y
situation.
2
Complete
the
table
to
obtain
a
situation
of
prop ortional- it y
b et w een
the
t w o
ro ws
of
the
table.
3.
Horizontal
displac ement
(line arity
pr op erty)
https:/ /c hingmath.fr
chapExoCorrec/1709 sacados/1709 chapExoCorrec/1707 sacados/1707 chapExoCorrec/10147 sacados/10147 chapExoCorrec/1454 sacados/1454 chapExoCorrec/1452 sacados/1452 chapExoCorrec/1733 sacados/1733 chapExoCorrec/401 sacados/401
0,4 8 1,5 30 2,6 52 3,4 68 Quotient ( 2 / 1 ) Quotient ( 1 / 2 ) × ::: × :::
E.1419
Using
horizon tal
displacemen ts,
de- termine
the
v alue
of
x
to
obtain
a
prop ortionalit y
table.
a
3
x
4
1.2
b
30
x
20
22
Indication
:
one
will
use
the
in termediate
b o xes
to
indicate,
if
necessary ,
the
stages
of
one’s
reasoning.
E.1456
F or
eac h
question,
find
the
v alue
of
x
verifying
a
prop ortionalit y
relationship
in
the
table.
T o
do
this,
w e’ll
use
horizon tal
displacemen ts
to
fill
in,
if
nec- essary ,
the
empt y
columns
and
th us
obtain
the
v alue
of
x
.
a
5.2
26
2
x
b
12
1.5
6
x
E.1420
Using
horizon tal
displacemen ts,
de- termine
the
v alue
of
x
to
obtain
a
prop ortionalit y
table.
a
5
3
2
x
b
2.1
x
7
4.9
Indication
:
one
will
use
the
in termediate
b o xes
to
indicate,
if
necessary ,
the
stages
of
one’s
reasoning.
E.400
Using
horizon tal
displacemen ts,
de- termine
the
v alue
of
x
to
obtain
a
prop ortionalit y
table.
a
3
2.1
2
x
b
15
x
6
8
Indication
:
one
will
use
the
in termediate
b o xes
to
indicate,
if
necessary ,
the
stages
of
one’s
reasoning.
E.1792
Using
horizon tal
displacemen ts,
de- termine
the
v alue
of
x
to
obtain
a
prop ortionalit y
table.
a
5
3
12
x
b
5
x
8
2.4
Indication
:
one
will
use
the
in termediate
b o xes
to
indicate,
if
necessary ,
the
stages
of
one’s
reasoning.
E.6595
Using
horizon tal
displacemen ts,
de- termine
the
v alue
of
x
to
obtain
a
prop ortionalit y
table.
a
4
1.2
7
x
b
96
2.4
10
x
Indication
:
one
will
use
the
in termediate
b o xes
to
indicate,
if
necessary ,
the
stages
of
one’s
reasoning.
E.10151
Using
horizon tal
displacemen ts,
de- termine
the
v alue
of
x
to
obtain
a
prop ortionalit y
table.
a
24
36
14
x
b
77
x
14
1.8
Hint :
one
will
use
the
in termediate
b o xes
to
indicate,
if
necessary ,
the
steps
of
one’s
reasoning.
E.10149
Using
horizon tal
displacemen ts,
de- termine
the
v alue
of
x
to
obtain
a
prop ortionalit y
table.
a
10
10.5
7
X
b
8
16.8
5
X
Indication
:
one
will
use
the
in termediate
b o xes
to
indicate,
if
necessary ,
the
steps
in
one’s
reasoning.
E.10150
Using
horizon tal
displacemen ts,
de- termine
the
v alue
of
x
to
obtain
a
prop ortionalit y
table.
a
1.5
3.3
6.3
x
b
3
6.03
150
x
Indication
:
one
will
use
the
in termediate
b o xes
to
indicate,
if
necessary ,
the
steps
of
his
reasoning.
4.
Coefficient
of
pr op ortionality :
che ck
the
situation
of
pr op ortionality
E.1455
Consider
the
table
b elo w
:
https:/ /c hingmath.fr
chapExoCorrec/1419 sacados/1419 chapExoCorrec/1456 sacados/1456 chapExoCorrec/1420 sacados/1420 chapExoCorrec/400 sacados/400 chapExoCorrec/1792 sacados/1792 chapExoCorrec/6595 sacados/6595 chapExoCorrec/10151 sacados/10151 chapExoCorrec/10149 sacados/10149 chapExoCorrec/10150 sacados/10150 chapExoCorrec/1455 sacados/1455 0,4 8 1,5 30 2,6 52 3,4 68 Quotient ( 2 / 1 ) Quotient ( 1 / 2 ) × ::: × :::
0,75 3 2,25 9 1,75 7 1,35 5,4 Quotient ( 2 / 1 ) Quotient ( 1 / 2 ) × ::: × ::: 3,5 6,5 7,5 10 2,8 5,2 6 8 × ::: × :::
4,34 3,1 7,7 5,5 18,2 13 31,5 22,5 Quotient ( 2 / 1 ) Quotient ( 1 / 2 ) × ::: × :::
1
Complete
the
t w o
lines
of
quotien ts
2
=
1
and
1
=
2
.
2
Complete
the
t w o
co efficien ts
of
prop ortionalit y
with
their
exact
decimal
v alues.
E.10153
Consider
the
table
b elo w
:
1
Complete
the
t w o
ro ws
of
quotien ts
2
=
1
and
1
=
2
.
2
Complete
the
t w o
co efficien ts
of
prop ortionalit y
with
their
exact
decimal
v alues.
E.11015
Consider
the
table
b elo w
:
1
Justify
that
this
table
is
a
prop ortionalit y
table.
2
Indicate
on
the
table
the
t w o
prop ortionalit y
co efficien ts
as
decimal
n um b ers.
E.398
Consider
the
table
b elo w
:
1
Complete,
if
p ossible,
b oth
ro ws
with
the
exact
decimal
v alues
of
the
quotien ts
2
=
1
et
1
=
2
.
2
Complete,
if
p ossible,
the
t w o
prop ortionalit y
co efficien ts
with
their
exact
decimal
v alues.
E.1415
Consider
the
table
b elo w
:
5.2
4
2.2
3
33.8
26
14.3
19.5
Justify
that
this
table
represen ts
a
prop ortional
relationship
b y
giving
the
exact
decimal
v alue
of
one
of
its
co efficien ts
of
prop ortionalit y .
E.1731
Consider
the
table
:
7.7
19.25
38.5
2.625
2.2
5.5
11
0.75
Justify
that
this
table
represen ts
a
prop ortional
relationship
b y
giving
the
exact
decimal
v alue
of
one
of
its
co efficien ts
of
prop ortionalit y .
E.10152
Consider
the
table
b elo w
:
3
4.4
12.1
7.6
0.6
0.88
2.42
1.52
Justify
that
this
table
is
a
prop ortionalit y
table
b y
giving
the
exact
v alue
of
at
least
one
of
its
prop ortionalit y
co efficien ts.
5.
Use
of
the
de cimal
c o efficient
of
pr op ortionality
E.10997
Consider
the
table
b elo w
:
3
14
77
101
2.1
9.8
46.2
70.7
Justify
that
this
table
do es
not
represen t
a
situation
of
pro- p ortionalit y .
E.10998
Consider
the
table
b elo w
:
2.3
4.5
0.8
5
6.9
14.4
2.4
15
Justify
that
this
table
do es
not
represen t
a
situation
of
pro- p ortionalit y .
E.10999
Consider
the
table
b elo w
:
3.72
6.48
2.6
4.44
3.1
5.4
2
3.7
Justify
that
this
table
do es
not
represen t
a
situation
of
pro- p ortionalit y .
E.11001
Consider
the
table
b elo w
:
4
5.5
2.2
9
5.6
7.7
3.08
13.5
Justify
that
this
table
do es
not
represen t
a
situation
of
pro- p ortionalit y .
https:/ /c hingmath.fr
chapExoCorrec/10153 sacados/10153 0,75 3 2,25 9 1,75 7 1,35 5,4 Quotient ( 2 / 1 ) Quotient ( 1 / 2 ) × ::: × ::: chapExoCorrec/11015 sacados/11015 3,5 6,5 7,5 10 2,8 5,2 6 8 × ::: × ::: chapExoCorrec/398 sacados/398 4,34 3,1 7,7 5,5 18,2 13 31,5 22,5 Quotient ( 2 / 1 ) Quotient ( 1 / 2 ) × ::: × ::: chapExoCorrec/1415 sacados/1415 chapExoCorrec/1731 sacados/1731 chapExoCorrec/10152 sacados/10152 chapExoCorrec/10997 sacados/10997 chapExoCorrec/10998 sacados/10998 chapExoCorrec/10999 sacados/10999 chapExoCorrec/11001 sacados/11001
4,8 9,6 14 17,6 24 7,5 15 17,5 27,5 37,5 2 ; 4 15 ::: 3 ; 5 1 ; 8 ::: ::: 1 1 ::: × ::: × ::: 2 ; 3 5 ; 75 1 ; 4 ::: ::: 12 ; 5 8 ; 6 ::: × ::: × ::: 3 ; 2 4 5 ; 1 ::: ::: 7 ; 5 7 ; 1 ::: × ::: × ::: 6 1,5 7,5 14,4 25 62,4 × ::: × ::: 5 ; 1 20 ; 4 3 ; 4 ::: ::: 4 ; 8 × ::: × ::: 4 ; 4 13 ; 2 ::: 1 ; 8 5 ::: ::: 1 1 ::: × ::: × ::: 1 ; 8 0 ; 3 7 ; 2 ::: ::: 9 × ::: × :::
E.11016
Consider
the
table
b elo w
:
Establish
that
this
table
do es
not
represen t
a
situation
of
pro- p ortionalit y .
6.
Prop ortionality
with
2
de cimal
c o efficients
E.10992
Consider
the
follo wing
prop ortion- alit y
table
:
1
Complete
the
t w o
prop ortionalit y
co efficien ts.
2
Complete
the
table.
E.10993
Consider
the
prop ortionalit y
table
:
1
Complete,
if
p ossible,
the
t w o
prop ortionalit y
co efficien ts
with
their
exact
decimal
v alues.
2
Complete
the
prop ortionalit y
table.
E.10994
Consider
the
prop ortionalit y
table
:
1
Complete
the
prop ortionalit y
co efficien ts
with
their
dec- imal
v alues
2
Complete
the
table.
E.10995
Consider
the
follo wing
table
of
pro- p ortionalit y :
1
Complete
the
t w o
prop ortionalit y
co efficien ts
with
their
decimal
v alues.
2
Complete
the
table.
E.10996
Consider
the
prop ortionalit y
table
b elo w
:
1
Complete
the
t w o
prop ortionalit y
co efficien ts
with
their
exact
decimal
v alues.
2
Complete
the
table.
7.
Sear ch
for
de cimal
c o efficients
E.1732
Consider
the
table
of
prop ortional- it y :
1
Complete,
if
p ossible,
the
co efficien ts
of
prop ortionalit y
with
their
exact
decimal
v alues.
2
Complete
the
table.
E.1793
Consider
the
prop ortionalit y
table
b elo w
:
1
If
p ossible,
fill
in
the
prop ortionalit y
co efficien ts
with
their
exact
decimal
v alues.
2
Complete
the
table.
https:/ /c hingmath.fr
chapExoCorrec/11016 sacados/11016 4,8 9,6 14 17,6 24 7,5 15 17,5 27,5 37,5 chapExoCorrec/10992 sacados/10992 2 ; 4 15 ::: 3 ; 5 1 ; 8 ::: ::: 1 1 ::: × ::: × ::: chapExoCorrec/10993 sacados/10993 2 ; 3 5 ; 75 1 ; 4 ::: ::: 12 ; 5 8 ; 6 ::: × ::: × ::: chapExoCorrec/10994 sacados/10994 3 ; 2 4 5 ; 1 ::: ::: 7 ; 5 7 ; 1 ::: × ::: × ::: chapExoCorrec/10995 sacados/10995 6 1,5 7,5 14,4 25 62,4 × ::: × ::: chapExoCorrec/10996 sacados/10996 5 ; 1 20 ; 4 3 ; 4 ::: ::: 4 ; 8 × ::: × ::: chapExoCorrec/1732 sacados/1732 4 ; 4 13 ; 2 ::: 1 ; 8 5 ::: ::: 1 1 ::: × ::: × ::: chapExoCorrec/1793 sacados/1793 1 ; 8 0 ; 3 7 ; 2 ::: ::: 9 × ::: × :::
1 ; 6 2 ; 8 12 ::: ::: 35 33 ; 6 ::: × ::: × ::: 2 7 ::: 8 ; 4 0 ; 4 ::: 5 ::: × ::: × ::: 7 4,9 16,1 2,5 1,33 b a × ::: × ::: 4 ; 9 ::: 15 33 12 ::: ::: 7 ; 7 ::: 16 ; 5 5 ; 1 ::: × ::: × ::: 1 ; 8 4 ; 05 3 ; 2 ::: ::: 9 ::: 12 ; 15 6 ; 6 ::: × ::: × ::: 3 ; 08 2 ; 2 ::: 2 ; 8 4 ; 9 ::: 5 ; 88 ::: ::: 5 × ::: × :::
1,4 4,9 8,4 ... ... ... ... 9,6 12 16 × ::: × :::
E.402
Consider
the
follo wing
prop ortional- it y
table
:
1
Complete
the
table,
if
p ossible,
with
the
exact
decimal
v alues
of
the
prop ortionalit y
co efficien ts.
2
Complete
the
table.
E.1725
Consider
the
table
of
prop or- tionalit y :
1
Complete,
if
p ossible,
the
co efficien ts
of
prop ortionalit y
with
their
exact
decimal
v alue.
2
Complete
the
table.
E.1418
Consider
the
follo wing
table
of
pro- p ortionalit y :
1
Complete,
if
p ossible,
the
co efficien ts
of
prop ortionalit y
with
their
exact
decimal
v alue.
2
Complete
the
table.
E.1416
Consider
the
prop ortionalit y
table
b elo w
:
1
Complete,
if
p ossible,
the
prop ortionalit y
co efficien ts
with
their
exact
decimal
v alues.
2
Complete
the
table.
E.10154
Consider
the
prop ortionalit y
table
b elo w
:
1
Complete,
if
p ossible,
the
t w o
prop ortionalit y
co efficien ts
with
their
exact
decimal
v alues.
2
Complete
the
table.
E.10155
Consider
the
prop ortionalit y
table
b elo w
:
1
Complete
the
t w o
prop ortionalit y
co efficien ts
with
their
exact
decimal
v alues.
2
Complete
the
table.
E.1448
1
Determine
the
v alues
of
x
and
y
verifying
eac h
of
the
follo wing
equalities :
a
18
42
=
x
5.6
b
1.4
3.5
=
2.2
y
2
Complete
the
t w o
prop ortionalit y
tables
b elo w
:
a
18
:
:
:
42
5.6
b
1.4
2.2
3.5
:
:
:
E.11017
Consider
the
prop ortionalit y
table
:
1
Complete,
if
p ossible,
the
prop ortionalit y
co efficien ts
with
their
exact
decimal
v alues.
2
Complete
the
missing
v alues
in
the
table.
8.
Prop ortionality
pr oblem
E.9459
A
motorist
needs
to
mak e
the
P aris- Marseille
journey .
T o
connect
these
t w o
cities,
he
will
ha v e
to
driv e
663
km
on
the
freew a y .
T aking
the
freew a y ,
he
estimates
his
v ehicle’s
consumption
at
9.5
‘
of
p etrol
for
100
km
.
In
this
case,
what
will
his
car’s
consumption
b e
for
this
journey ,
rounded
to
the
nearest
liter?
E.10857
T o
mak e
a
co c ktail,
Jean
needs
1.5
‘
of
orange
juice
for
6
people.
He
w an ts
to
mak e
the
same
co c ktail
for
10
people.
Ho w
man y
liters
of
orange
juice
will
he
need?
9.
Use
of
ladders
https:/ /c hingmath.fr
chapExoCorrec/402 sacados/402 1 ; 6 2 ; 8 12 ::: ::: 35 33 ; 6 ::: × ::: × ::: chapExoCorrec/1725 sacados/1725 2 7 ::: 8 ; 4 0 ; 4 ::: 5 ::: × ::: × ::: chapExoCorrec/1418 sacados/1418 7 4,9 16,1 2,5 1,33 b a × ::: × ::: chapExoCorrec/1416 sacados/1416 4 ; 9 ::: 15 33 12 ::: ::: 7 ; 7 ::: 16 ; 5 5 ; 1 ::: × ::: × ::: chapExoCorrec/10154 sacados/10154 1 ; 8 4 ; 05 3 ; 2 ::: ::: 9 ::: 12 ; 15 6 ; 6 ::: × ::: × ::: chapExoCorrec/10155 sacados/10155 3 ; 08 2 ; 2 ::: 2 ; 8 4 ; 9 ::: 5 ; 88 ::: ::: 5 × ::: × ::: chapExoCorrec/1448 sacados/1448 chapExoCorrec/11017 sacados/11017 1,4 4,9 8,4 ... ... ... ... 9,6 12 16 × ::: × ::: chapExoCorrec/9459 sacados/9459 chapExoCorrec/10857 sacados/10857
San F rancisco Los Angeles San Diego
E.1425
Belo w
is
a
map
of
Iv ory
Coast
at
a
éc helle
1
=
9
000
000
.
1
Determine
the
distance
b et w een
the
p olitical
capital
Y a- moussoukro
and
the
economic
capital
Abidjan
as
the
cro w
flies.
2
An
airplane
mak es
the
follo wing
rotation :
Abidjan
Korhogo
Man
Abidjan.
Determine
the
distance
of
this
rotation.
Hint :
you
can
use
the
prop ortionalit y
table
:
Échelle
Reduced
distance
(in
cm)
1
Actual
distance
(in
cm)
9000000
E.11019
Belo w
is
a
map
of
the
state
of
Cal- ifornia
:
The
distance
b y
plane
from
San
F rancisco
to
Los
Angeles
is
560
km
.
1
Complete
the
prop ortionalit y
table
b elo w
(we
wil l
c om- plete
the
values
in
units)
San
F rancisco
Los
Angeles
Reference
Actual
size
(in
cm)
Reduced
size
(in
cm)
1
2
Deduce
the
actual
distance
b et w een
San
F rancisco
and
San
Diego,
rounded
to
the
nearest
meter.
https:/ /c hingmath.fr
chapExoCorrec/1425 sacados/1425 chapExoCorrec/11019 sacados/11019 San F rancisco Los Angeles San Diego
Oaxaca D.F. Zacatecas Chih uah ua Mon terrey Cancun V eracruz
San F rancisco Los Angeles Houston Chicago Miami A tlan ta W ashington New Y ork Seattle
E.1444
Belo w
is
a
map
of
Camero on
at
1
=
20
000
000
scale
:
1
Determine
the
distance
separating,
as
the
cro w
flies,
the
p olitical
capital
Y aoundé
from
the
economic
capital
Douala.
2
A
plane
mak es
the
follo wing
rotation :
Douala
Ngaoundéré
Maroua
Douala.
Determine
the
distance
of
this
rotation.
E.1440
Belo w
is
a
scale
map
of
Mexico
1
25
000
000
:
1
Determine
the
distance
from
the
federal
capital
D.F.
(fed- er al
district)
to
Oaxaca.
2
A
plane
mak es
the
follo wing
rotation :
D
.
F
.
Cancún
Chihuah ua
D
.
F
.
Determine
the
distance
of
this
rotation.
E.1428
George
has
a
mo del
of
a
figh ter
plane.
After
making
v arious
measuremen ts,
he
comes
to
the
conclu- sion
that
the
prop ortionalit y
co efficien t
for
going
from
full
size
to
reduced
size
is
0.025
.
Find
the
scale
of
this
mo del?
E.1426
George
has
a
map
of
his
to wn
on
whic h
the
scale
is
not
written.
After
making
v arious
measuremen ts,
he
comes
to
the
conclu- sion
that
the
prop ortionalit y
co efficien t
for
going
from
real
size
to
reduced
size
is
0.000
04
.
Can
y ou
help
him
find
the
scale
of
this
map?
10.
Sear ch
for
sc ales
E.11003
Belo w
is
a
map
of
the
United
States
of
America :
https:/ /c hingmath.fr
chapExoCorrec/1444 sacados/1444 chapExoCorrec/1440 sacados/1440 Oaxaca D.F. Zacatecas Chih uah ua Mon terrey Cancun V eracruz chapExoCorrec/1428 sacados/1428 chapExoCorrec/1426 sacados/1426 chapExoCorrec/11003 sacados/11003 San F rancisco Los Angeles Houston Chicago Miami A tlan ta W ashington New Y ork Seattle
× : : : Distance réduite (en cm) Distance réelle (en cm) 1 ::: ::: 398200000
Oaxaca D.F. Zacatecas Chih uah ua Mon terrey Cancun V eracruz
The
distance
b et w een
ˇ
Los
Angeles
ı
and
ˇ
New
Y ork
ı
is
3982
km
.
Complete
the
prop ortionalit y
table
b elo w
to
obtain
the
scale
of
this
map
:
E.399
Camero on
and
its
main
cities
are
sho wn
opp osite.
W e
kno w
that
the
distance
Douala
to
Y aoundé
as
the
cro w
flies
is
200
km
.
1
a
Complete
the
follo wing
table
:
Douala
-
Y aoundé
Référence
Taille
réelle
(en
cm)
Taille
réduite
(en
cm)
1
b
Giv e
the
scale
of
this
map.
2
Cop y
on to
y our
cop y
and
complete
the
follo wing
table
:
Distance
de
Douala
to
:
Maroua
Ngaoundéré
Ebolo w a
Taille
Réduite
(en
cm)
Taille
Réelle
(en
cm)
Taille
Réelle
(en
km)
E.1430
Note:
Lengths
will
b e
rounded
to
the
nearest
millimeter.
1
a
Giv en
that
the
distance
from
the
F ederal
District
to
Cancún
is
1275
km
(as
the
cr ow
flies)
,
,
cop y
and
complete
the
follo wing
table
:
F.D.
ffl
Cancún
Reference
Actual
Size
(in
cm)
x
Scaled-Down
Size
(in
cm)
1
b
What
is
the
scale
of
this
map?
2
Determine
the
distance
b et w een
D.F.
and
Mon terrey .
https:/ /c hingmath.fr
× : : : Distance réduite (en cm) Distance réelle (en cm) 1 ::: ::: 398200000 chapExoCorrec/399 sacados/399 chapExoCorrec/1430 sacados/1430 Oaxaca D.F. Zacatecas Chih uah ua Mon terrey Cancun V eracruz
E.1734
1
Giv en
that
the
distance
from
Abidjan
to
Y amoussoukro
is
220
km
(as
the
cr ow
flies)
,
cop y
and
complete
the
fol- lo wing
table
:
Abidjan
Y amoussoukro
Référence
Taille
Réelle
(en
cm)
Taille
réduite
(en
cm)
1
2
What
is
the
scale
of
this
map?
3
Cop y
the
follo wing
table
on to
y our
answ er
sheet
and
com- plete
it :
Distance
from
Abidjan
to
:
Korhogo
Man
Bouaké
Reduced
size
(en
cm)
Actual
size
(en
cm)
Actual
size
(en
km)
E.1429
The
Eiffel
T o w er
w as
built
in
1889
and
w as,
un- til
1930
,
the
w orld’s
tallest
mon umen t
at
325
meters.
1
a
In
a
souv enir
store
in
P aris,
a
miniature
Eiffel
T o w er
is
sho wn
in
full
size
opp osite.
Calculate
the
scale
of
this
miniature.
b
Then
calculate
the
width
of
the
Eiffel
T o w er
2
In
another
store,
another
miniature
of
the
Eiffel
T o w er
is
to
scale
1
4000
.
Determine
the
heigh t
of
the
miniature.
E.1427
The
car
b elo w
is
a
scale
mo del
of
the
F errari
F40.
In
realit y ,
it
measures
4.5
meters
in
length.
1
Giv e
the
scale
of
this
represen tation
2
Kno wing
that
the
car
(the
r e al
one)
is
1.98
meters
wide,
giv e
the
width
of
the
to y .
W e’ll
giv e
the
default
appro x- imate
v alue
to
the
nearest
millimeter
for
this
measure- men t.
E.11664
Ci-dessous
est
représen té
la
cité
scolaire
F.
Com b es
de
Mon tp ellier
Sac han t
que
la
largeur
du
batimen t
principal
est
de
76
m
.
1
Donner
l’éc helle
de
cette
carte.
2
Déterminer
la
longueur
de
ce
batimen t.
Indication
:
on
p ourra
utiliser
un
tableau
telle
que
:
Référence
Taille
réelle
(en
cm)
Taille
réduite
(en
cm)
1
11.
Graphic al
r epr esentation
https:/ /c hingmath.fr
chapExoCorrec/1734 sacados/1734 chapExoCorrec/1429 sacados/1429 chapExoCorrec/1427 sacados/1427 chapExoCorrec/11664 sacados/11664 fichierPlus/11664/diaporama.pdf
x 0 1 2 3 4 y 1 2 3 4 5 6 100 12 200 20 120 340 3 ; 4 Somme possédée Argent perçu par les impôts × ÷
75 175 225 300 Nom bre de p oup ées pro duites Nom bre de p oup ées testees ×
E.1708
1
Complete
the
table
b elo w
so
that
it
is
prop ortional :
x
0.5
1
2
4
y
1.5
4.5
5.25
2
Place
the
p oin ts
the
four
p oin ts
(
x
;
y
)
found
in
the
pre- vious
question
in
the
landmark
b elo w.
What
do
y ou
notice?
12.
Perc entage
E.10981
1
The
tax
collector
go es
through
a
neigh b orho o d
and
tak es
12
%
of
the
money
that
eac h
residen t
has
:
that
is,
he
tak es
12
e
for
ev ery
100
e
.
Complete
the
table
:
2
Using
the
table
ab o v e,
answ er
the
follo wing
questions
:
T ak e
12
%
from
200
e
,
is
to
tak e
.
.
.
.
.
.
e
.
T aking
12
%
of
120
grams,
whic h
is
:
:
:
:
:
:
g
Taking
12
%
of
.
.
.
.
.
.
kilometers,
is
to
tak e
2.4
km
E.11577
In
a
doll
man ufacturing
compan y ,
the
"qualit y
con trol
departmen t" tak es
samples
of
4
%
of
the
dolls
pro duced
ev ery
da y
to
c hec k
pro duction
qualit y .
Complete
the
table
b elo w
with
the
n um b er
of
dolls
sampled
:
E.10983
Giv e
the
prop ortionalit y
co efficien t
asso ciated
with
eac h
of
the
p ercen tages
b elo w
:
a
50
%
b
25
%
c
20
%
d
10
%
E.10984
Belo w
are
giv en
a
sum
and
a
part
of
this
sum.
Giv e
the
p ercen tage
of
eac h
of
these
shares
relativ e
to
the
initial
sum
:
a
6
e
from
60
e
b
11
e
from
44
e
c
6
e
from
15
e
d
42
e
from
120
e
13.
Perc entage :
use
E.10987
1
In
a
class
of
28
students,
75
%
of
the
studen ts
b eliev e
they
passed
a
math
test.
Ho w
man y
studen ts
passed
the
test?
2
A
family
of
four
consumes
600
liters
of
w ater
p er
da y .
Appro ximately
60
%
of
this
w ater
is
used
for
sho w ering
and
bathing.
Ho w
m uc h
w ater
is
used
for
sho w ering
and
bathing
eac h
da y
b y
this
family?
E.10989
1
A
motorist
uses
50
liters
of
gasoline
ev ery
w eek.
He
uses
40
%
of
this
fuel
for
comm uting.
Ho w
m uc h
fuel
is
used
for
these
journeys?
2
The
am usemen t
park
ˇ
Six
drap eaux
ı
w elcomes
15
000
vis-itors
in
one
da y .
42
%
of
visitors
are
c hildren.
Ho w
man y
c hildren
visited
the
park
that
da y?
E.10990
1
In
Decem b er,
an
emplo y ee
receiv ed
a
b on us
of
600
e
,
whic h
represen ts
20
%
of
his
mon thly
salary .
What
is
his
total
salary
for
the
mon th
of
Decem b er?
2
A t
a
matc h,
12
000
spectators
w ere
presen t
in
a
stadium,
represen ting
80
%
of
the
stadium’s
total
capacit y .
What
is
the
total
capacit y
of
this
stadium?
https:/ /c hingmath.fr
chapExoCorrec/1708 sacados/1708 x 0 1 2 3 4 y 1 2 3 4 5 6 chapExoCorrec/10981 sacados/10981 100 12 200 20 120 340 3 ; 4 Somme possédée Argent perçu par les impôts × ÷
chapExoCorrec/11577 sacados/11577 75 175 225 300 Nom bre de p oup ées pro duites Nom bre de p oup ées testees × chapExoCorrec/10983 sacados/10983 chapExoCorrec/10984 sacados/10984 chapExoCorrec/10987 sacados/10987 chapExoCorrec/10989 sacados/10989 chapExoCorrec/10990 sacados/10990
E.10991
1
A
factory
man ufactured
1
320
cars
in
Marc h.
This
rep- resen ted
22
%
of
this
y ear’s
pro duction.
Ho w
man y
cars
did
the
factory
man ufacture
this
y ear?
2
A
neigh b orho o d
has
12
500
residents,
represen ting
16
%
of
the
cit y’s
total
p opulation.
What
is
the
p opulation
of
this
cit y?
E.11020
1
F or
Karim’s
birthda y ,
his
friends
ate
80
%
of
the
cak e.
Kno wing
that
his
cak e
w eighed
1.2
kg
,
giv e
the
w eigh t
of
the
rest
of
the
cak e.
2
Alice
go es
on
v acation
and
fills
up
her
gas
tank.
Up on
arriv al,
she
has
used
75
%
of
her
tank,
whic h
holds
24
‘
.
Giv e
the
total
capacit y
of
her
tank.
E.10988
1
A
mark et
gardener
go es
to
mark et
with
150
kg
of
apples.
A t
the
end
of
the
da y ,
he
has
20
%
of
his
apples
left.
Ho w
man y
apples
are
sold?
2
A
studen t
sp ends
an
a v erage
of
4
hours
a
da y
on
screens.
His
paren ts
ask
him
to
reduce
his
screen
time
b y
30
%
.
By
ho w
man y
min utes
will
he
reduce
his
screen
usage?
14.
Perc entage :
se ar ch
for
a
p er c entage
E.10985
In
a
class
of
24
students,
6
students
regularly
pla y
v olleyball.
What
p ercen tage
of
studen ts
in
this
class
pla y
this
sp ort?
E.10986
In
a
flo c k
of
72
sheep,
18
sheep
sho w
signs
of
disease.
What
p ercen tage
of
the
flo c k
is
affected
b y
this
disease?
E.11021
The
sc ho ol
bus
can
tak e
48
stu-den ts.
But
this
morning,
42
pupils
got
on
the
bus.
What
is
the
o ccupancy
p ercen tage
of
the
bus
that
da y?.
15.
Perc entage :
an
intr o duction
to
developments
E.1704
A
retailer
is
offering
a
discoun t
of
25
%
on
certain
items
:
a
bicycle
at
220
e
,
a
tennis
rac k et
at
76
e
and
sp ortsw ear
at
54
e
.
1
Repro duce
and
complete
the
table
b elo w
indicating
the
discoun t
that
will
b e
giv en
on
eac h
item :
Price
(in
eur o)
100
220
76
54
Remise
(en
e
)
2
Repro duce
and
complete
the
follo wing
table
sho wing
the
price
of
eac h
item
after
the
discoun t
:
Price
(in
eur o)
100
220
76
54
Prix
après
la
remise
(en
e
)
16.
Spe e d
E.1442
A
v ehicle
crosses
F rance
from
north
to
south
on
the
freew a y .
It
will
b e
assumed
that
it
has
b een
tra v elling
throughout
this
journey
at
constan t
sp eed
(it
wil l
b e
assume d
that
stops
at
tol l
b o oths
ar e
ne gligible)
:
its
motion
is
uniform.
1
Kno wing
that
in
three
hours
he
has
co v ered
three
h un- dred
and
thirt y
kilometers,
complete
the
follo wing
table
:
Duration
1
=
4
h
1
=
2
h
1
h
2
h
3
h
10
h
Distance
(in
km
)
2
Determine
the
v alue
of
the
prop ortionalit y
co efficien t
to
go
from
duration
to
distance.
The
co efficien t
of
prop ortionalit y
for
going
from
du- ration
to
v elo cit y
is
called
the
v elo cit y
of
uniform
motion.
17.
With
a
little
algebr a
E.10956
Consider
the
table
b elo w
:
4
x
+
3
3
x
+
1
x
+
1
9
x
+
18
9
x
+
3
8
x
−
12
1
F or
x
=3
,
is
this
a
prop ortionalit y
table?
Justify
y our
answ er.
2
F or
x
=1
,
is
this
a
prop ortionalit y
table?
Justify
y our
answ er.
https:/ /c hingmath.fr
chapExoCorrec/10991 sacados/10991 chapExoCorrec/11020 sacados/11020 chapExoCorrec/10988 sacados/10988 chapExoCorrec/10985 sacados/10985 chapExoCorrec/10986 sacados/10986 chapExoCorrec/11021 sacados/11021 chapExoCorrec/1704 sacados/1704 chapExoCorrec/1442 sacados/1442 chapExoCorrec/10956 sacados/10956
Prix (en eur o) Quan tité 3 20 14,95 2 30 32,89 × 2 ; 99
18.
Use
of
the
pr op ortionality
c o efficient
E.2991
Gérard
go es
to
the
sup ermark et
to
buy
Camem b erts
;
kno wing
that
the
price
p er
unit
is
2.99
e
,
complete
the
table
b elo w
to
find
the
price
of
his
purc hases
as
a
function
of
the
n um b er
of
Camem b erts
b ough t
:
19.
Sear ch
for
a
pr op ortionality
c o efficient
E.1703
Justify
that
the
t w o
tables
b elo w
represen t
a
situation
of
prop ortionalit y .
1
Poids
(en
kg
)
4
8
10
13
20
Prix
(en
e
)
6
12
15
19.5
30
2
Poids
(en
kg
)
3
5
2.5
7
0.5
Prix
(en
e
)
7.2
12
6
16.8
1.2
E.10432
1
Justify
that
the
table
b elo w
represen ts
a
situation
of
pro- p ortionalit y :
Weigh t
(in
kg
)
3
4.4
Price
(in
e
)
6.75
9.9
2
Justify
that
the
table
b elo w
do es
not
represen t
a
situa- tion
of
prop ortionalit y :
Weigh t
(in
kg
)
2.1
3.3
Price
(in
e
)
3.15
4.62
E.2687
Consider
the
t w o
tables
sho wn
b elo w
:
a
2
7
11
15
0.8
2.8
4.4
6
b
5
6
8
10
6
7.2
9.8
12
Specify ,
justifying
y our
answ ers,
whether
these
tables
are
of
prop ortionalities
or
not.
E.10525
Consider
the
t w o
tables
sho wn
b elo w
:
a
1.6
2
4.4
7
2
2.3
5.06
8.05
b
0.8
1.5
4
6.5
4.32
8.1
21.6
35.1
Specify ,
justifying
y our
answ ers,
whether
these
tables
are
of
prop ortionalities
or
not.
E.3029
Justify
that
eac h
example
b elo w
do es
not
represen t
a
situation
of
prop ortionalit y :
1
A
motorist
has
noted
his
fuel
exp enditure
o v er
the
mon th
in
the
follo wing
table
:
Numb er
of
liters
12
20
33
10
5
Price
(en
e
)
14.4
24
39.6
13
6
2
Amandine,
organizing
her
birthda y ,
mak es
the
same
cak e
sev eral
times
;
she
has
noted
in
the
table
b elo w
the
w eigh t
of
the
cak e
and
the
amoun t
of
flour
used
(both
units
ar e
gr ams)
:
Weigh t
of
cak e
600
750
580
960
Weigh t
of
flour
90
114
87
144
E.2993
Justify
that
eac h
example
b elo w
do es
not
represen t
a
prop ortionalit y
situation
:
a
As
Julie
w alks,
she
measures
the
n um b er
of
steps
tak en
and
the
distance
tra v eled.
Here
is
the
c hart
she
obtained
:
Numb er
of
pas
3
5
10
30
54
Distance
(en
m
)
1.8
2.8
6
18
32.4
b
A
customer
at
a
store
alw a ys
buys
the
same
t yp e
of
so da
;
here
is
the
table
represen ting
his
purc hases
:
Quantité
9
5
13
4
16
Prix
(en
e
)
10.8
6
15.6
4.6
25.6
c
The
follo wing
is
the
fuel
consumption
reading
for
an
au- tomobile
in
relation
to
the
distance
tra v eled
:
Distance
(en
km
)
50
254
370
70
Consommation
(en
‘
)
3.6
20.32
28.12
5.67
E.2995
The
table
b elo w
sho ws
the
differen t
screen
resolutions
a v ailable
on
a
computer
;
dimensions
are
expressed
in
pixels :
Ecran
a
b
c
d
e
f
L
800
1024
1152
1280
1280
1600
‘
600
768
864
720
960
900
There
are
t w o
t yp es
of
screen
:
4
=
3
and
16
=
9
.
They
corresp ond
to
the
quotien t
of
width
b y
heigh t.
Determine
the
corresp onding
resolutions
for
eac h
of
these
for- mats.
https:/ /c hingmath.fr
chapExoCorrec/2991 sacados/2991 Prix (en eur o) Quan tité 3 20 14,95 2 30 32,89 × 2 ; 99 chapExoCorrec/1703 sacados/1703 chapExoCorrec/10432 sacados/10432 chapExoCorrec/2687 sacados/2687 chapExoCorrec/10525 sacados/10525 chapExoCorrec/3029 sacados/3029 chapExoCorrec/2993 sacados/2993 chapExoCorrec/2995 sacados/2995
Prix (en eur o) Quan tité 3 1,38 5 3,22 2 4,6 12 × ::: Prix (en eur o) P oids (en k g ) 2,4 22,8 28,5 2 3.8 4,75 0,8 × :::
Distance parcourue (en k m ) Durée de l’en trainemen t (en min ) 3 1,5 20 23 2 43 109,5 × ::: Oaxaca D.F. Zacatecas Chih uah ua Mon terrey Cancun D. réduite (en cm ) D. réelle (en k m ) DF / Chih uah ua 5,5 1240 DF / Oaxaca DF / Mon terrey Cancun / Chih uah ua ×
20.
Finding
and
using
the
pr op ortionality
c o efficient
E.1705
Consider
the
table
b elo w
:
Weigh t
of
oranges
(in
kg)
3.5
4
Price
(in
e
)
14
1
Determine
the
prop ortionalit y
co efficien t
of
this
prop or- tionalit y
table.
2
Determine
the
price
of
4
kilograms
of
oranges.
E.2992
In
a
bak ery ,
three
baguettes
of
bread
cost
1.38
e
:
Complete
the
table
b elo w.
E.3030
In
a
butc her’s
shop,
the
shopk eep er
has
partially
recorded
his
sales
for
the
da y ;
complete
his
ta- ble
:
E.2686
A
cyclist
trains
at
a
constan t
sp eed.
1
Complete
the
prop ortionalit y
table
b elo w
:
2
A t
this
same
sp eed,
ho w
far
will
he
tra v el
in
3
h
47
min
?
21.
Prop ortionality
and
maps
E.10434
Belo w
is
a
map
of
Mexico :
1
Complete
the
prop ortionalit y
table
b elo w
b et w een
the
t w o
quan tities
ˇ
distance
measured
on
the
map
ı
and
ˇ
dis-tance
réelle
ı
:
Indication
:
we
will
round
off
:
actual
distances
to
the
nearest
kilometer.
distances
on
the
map
to
the
nearest
cen timeter.
the
prop ortionalit y
co efficien t
to
the
unit.
2
Puerto
V allarta
is
a
large
cit y
in
Mexico
lo cated
981
km
from
Oaxaca
on
the
P acific
side.
a
Determine
the
distance
ˇ
Oaxaca/Puerto
V allarta
ı
on
the
map.
b
Place
the
cit y
of
Puerto
V allarta
the
map.
https:/ /c hingmath.fr
chapExoCorrec/1705 sacados/1705 chapExoCorrec/2992 sacados/2992 Prix (en eur o) Quan tité 3 1,38 5 3,22 2 4,6 12 × ::: chapExoCorrec/3030 sacados/3030 Prix (en eur o) P oids (en k g ) 2,4 22,8 28,5 2 3.8 4,75 0,8 × ::: chapExoCorrec/2686 sacados/2686 Distance parcourue (en k m ) Durée de l’en trainemen t (en min ) 3 1,5 20 23 2 43 109,5 × ::: chapExoCorrec/10434 sacados/10434 Oaxaca D.F. Zacatecas Chih uah ua Mon terrey Cancun D. réduite (en cm ) D. réelle (en k m ) DF / Chih uah ua 5,5 1240 DF / Oaxaca DF / Mon terrey Cancun / Chih uah ua ×
San Francisco Los Angeles Houston Chicago Miami Atlanta Washington New York Seattle D. réduite (en cm ) D. réelle (en k m ) Chicago / San F rancisco 5,7 2972 Los Angeles / Miami New Y ork / Houston Seattle / Miami ×
Arab es Espagnol Anglais Italien Allemand % E∑ectif Angles Langue Espagnol Anglais AllemandItalien Arabes × ::: × :::
E.10435
Belo w
is
a
map
of
the
United
States
of
America :
1
Complete
the
table
b elo w
sho wing
the
prop ortionalit y
b e- t w een
the
t w o
quan tities
ˇ
distance
measured
on
the
map
ı
and
ˇ
actual
distance
ı
:
Note:
round
off
:
actual
distances
to
the
nearest
kilometer.
distances
on
the
map
to
the
nearest
cen timeter.
the
co efficien t
of
prop ortionalit y
to
the
nearest
unit.
2
Boston
is
a
large
cit y
in
the
US
lo cated
4353
km
from
San
F rancisco
on
the
A tlan tic
coast.
a
Determine
the
distance
ˇ
San
F rancisco/Boston
ı
on
the
map.
b
Place
the
cit y
of
Boston
on
the
map.
22.
Angles
and
pr op ortionalities :
pie
chart
E.3012
Eac h
disk
b elo w
is
divided
in to
10
equal
parts
:
1
Hatc h,
for
eac h
disc,
the
part
corresp onding
to
the
giv en
p ercen tage :
a
50
%
b
20
%
c
70
%
d
25
%
2
Using
prop ortionalit y ,
complete
the
table
b elo w
to
deter- mine
the
measure
of
the
angles
formed
in
the
previous
question
:
Pourcen tage
50
20
70
25
100
Angle
E.3022
The
pie
c hart
b elo w
repre- sen ts,
in
a
sc ho ol
of
830
studen ts,
the
c hoice
of
stu- den ts
among
the
fiv e
pro- p osed
L.V.2 :
In
order
to
determine
the
p ercen tage
and
n um b er
of
studen ts
corresp onding
to
eac h
foreign
language,
w e
will
complete
the
table
b e- lo w
as
the
questions
are
ask ed
:
1
Using
the
protractor,
determine
the
angle
represen ting
eac h
part
of
this
diagram.
2
a
Giv e
the
v alue
of
the
prop ortionalit y
co efficien t
to
c hange
from
p ercen tages
to
angles.
b
Complete
the
p ercen tages
line
with
v alues
appro xi- mated
b y
excess
to
the
nearest
unit.
3
a
Giv e
the
v alue
of
the
prop ortionalit y
co efficien t
to
pass
from
the
p ercen tages
to
the
headcoun t
of
eac h
of
the
groups
of
L.V.2.
b
Complete
the
headcoun t
line
with
v alues
appro ximated
b y
excess
to
the
nearest
unit.
https:/ /c hingmath.fr
chapExoCorrec/10435 sacados/10435 San Francisco Los Angeles Houston Chicago Miami Atlanta Washington New York Seattle D. réduite (en cm ) D. réelle (en k m ) Chicago / San F rancisco 5,7 2972 Los Angeles / Miami New Y ork / Houston Seattle / Miami ×
chapExoCorrec/3012 sacados/3012 chapExoCorrec/3022 sacados/3022 Arab es Espagnol Anglais Italien Allemand % E∑ectif Angles Langue Espagnol Anglais AllemandItalien Arabes × ::: × :::
P assion 7 % Cho colat 42 % V anille 25 % Citron 13 % F raise 13 % Angle E∑ectif % P arfum Cho colat P assion F raise Citron V anille T otal × ::: × ::: Op éra In ternet Explorer Firefo x Autres % Nom bre Angle Internet Explorer Firefox Opéra Autres × ::: × :::
F rancophone 48 % Anglophone 36 % Hispa- nophone 12 % 4 % Angle E∑ectif % Langue F ranco phone Anglo phone Hispano phone Germano phone T otal × ::: × ::: Rouge V ert Bleu Jaune
E.3023
Here
are
the
results
of
a
surv ey
of
540
people
ab out
their
fa v orite
ice
cream
fla- v or :
W arning,
this
diagram
has
not
b een
dra wn
with
the
correct
measuremen ts
:
1
Repro duce
and
com- plete
the
table
b elo w,
taking
the
default
ap- pro ximate
v alue
to
the
nearest
unit
from
y our
calculations
:
2
Dra w
the
pie
c hart
in
accordance
with
the
measuremen ts
found
in
question
1
.
E.3033
In
a
large
compan y
with
4
300
em-plo y ees,
a
study
of
the
in ternet
bro wsers
used
b y
its
emplo y ees
pro duced
the
pie
c hart
b elo w
:
The
aim
of
the
exercise
is
to
find
the
n um b er
of
users
for
eac h
of
these
bro wsers.
W e
will
complete
the
table
b elo w
as
w e
go
through
the
questions
:
1
Using
the
protractor,
determine
the
measure
of
the
cen- tral
angle
defining
eac h
of
the
segmen ts
of
this
pie
c hart.
2
Using
the
prop ortionalit y
co efficien ts
giv en
in
this
table,
giv e
:
the
p ercen tage
of
use
of
eac h
bro wser,
rounded
to
the
nearest
ten th
;
the
n um b er
of
users
of
eac h
bro wser,
rounded
to
the
nearest
whole
n um b er.
E.10527
In
a
sc ho ol
with
575
stu-den ts,
a
surv ey
w as
con- ducted
on
the
nativ e
lan- guages
of
its
studen ts.
The
surv ey
results
are
sho wn
in
the
graph
opp osite.
The
smallest
section
corresp onds
to
German- sp eaking
studen ts.
Note:
the
graph
has
not
b een
dra wn
to
scale.
Reproduce
and
complete
the
table
b elo w,
indicating
the
v alue
rounded
to
the
nearest
whole
n um b er
for
eac h
of
y our
calcu- lations
:
23.
Unclassified
exer cises
E.222
Studen ts
w ere
ask ed
to
indicate
their
fa v orite
color
among
red,
green,
blue
and
y ello w.
The
results
of
this
study
is
giv en
in
the
diagram
b elo w
:
Unfortunately ,
the
y-axis
scale
has
b een
erased.
1
What
p ercen tage
of
p eople
c hose
the
color
ˇredı?
2
Dra w
up
the
pie
c hart
corresp onding
to
this
study .
https:/ /c hingmath.fr
chapExoCorrec/3023 sacados/3023 P assion 7 % Cho colat 42 % V anille 25 % Citron 13 % F raise 13 % Angle E∑ectif % P arfum Cho colat P assion F raise Citron V anille T otal × ::: × ::: chapExoCorrec/3033 sacados/3033 Op éra In ternet Explorer Firefo x Autres % Nom bre Angle Internet Explorer Firefox Opéra Autres × ::: × :::
chapExoCorrec/10527 sacados/10527 F rancophone 48 % Anglophone 36 % Hispa- nophone 12 % 4 % Angle E∑ectif % Langue F ranco phone Anglo phone Hispano phone Germano phone T otal × ::: × ::: chapExoCorrec/222 sacados/222 Rouge V ert Bleu Jaune
5 2 × ::: 3 1 ; 2 × ::: 2 ; 5 1 × ::: 10 4 × ::: 2 5 1 ; 2 3 1 2 ; 5 4 10 × ::: × :::
E.1719
Consider
the
table
:
2
1.2
1
4
5
3
2.5
10
1
Complete
the
follo wing
four
diagrams
:
2
a
What
can
w e
sa y
ab out
these
four
n um b ers?
Method
:
if
in
a
table,
w e
obtain
the
n um b ers
in
one
ro w
b y
m ultiplying
those
in
the
other
ro w
b y
the
same
n um b er
then
this
n um b er
is
called
proportionalit y
co efficien t
and
w e
will
sa y
that
this
table
is
a
proportionalit y
ta- ble.
b
What
is
the
name
of
this
table?
2
Complete
the
follo wing
table
:
E.11665
Un
établissemen t
comprend
275
élèves
de
la
classe
de
5e.
72
%
d’entre
eux
son t
inscrits
à
la
sortie
scolaire
de
jeudi.
Com bien
d’élèv es
particip eron t
à
cette
sortie
scolaire?
E.11666
P our
ac heter
la
nouv elle
table
de
ping-p ong
de
l’asso ciation,
Thomas
a
v ersé
114
euros
ce
qui
représen te
38
%
du
prix
total.
Com bien
coûte
la
table
de
ping-p ong?
E.11667
Omar
a
dép ensé
21
euros
de
ses
150
euros.
Quel
p ourcen tage
de
son
argen t
a-t-il
dép ensé?
E.877
A
purc hase
of
1542
e
is
paid
as
follo ws
:
1
=
3
of
the
price
will
b e
paid
at
the
time
of
order
;
25
%
of
the
remaining
balance
will
b e
paid
up on
deliv ery ;
The
balance
will
b e
paid
on
credit.
1
What
is
the
amoun t
paid
at
the
time
of
order?
2
What
is
the
amoun t
paid
up on
deliv ery?
3
The
balance
of
771
e
,
plus
8
%
is
paid
in
four
equal
mon thly
installmen ts.
Calculate
the
amoun t
of
one
mon thly
installmen t.
https:/ /c hingmath.fr
chapExoCorrec/1719 sacados/1719 5 2 × ::: 3 1 ; 2 × ::: 2 ; 5 1 × ::: 10 4 × ::: 2 5 1 ; 2 3 1 2 ; 5 4 10 × ::: × ::: chapExoCorrec/11665 sacados/11665 fichierPlus/11665/diaporama.pdf chapExoCorrec/11666 sacados/11666 fichierPlus/11666/diaporama.pdf chapExoCorrec/11667 sacados/11667 fichierPlus/11667/diaporama.pdf chapExoCorrec/877 sacados/877 Extrait Juin 2002 - Groupe Est - 8 points