a
Middle
School
Grade 6
Grade 7
Grade 8
Grade 9
Ressource
Out Middle
High
School
Grade 10
Grade 11
Grade 11 - STMG
Grade 12 - STMG
Grade 12
Grade 12 - Comp.
Grade 12 - Exp.
Ressource
Out High
4
3
2
1
Grade 8
/ Proportionality
62 exercises (including 61 corrected)
a
Reminders on proportionality
(4 exercices)
Graphical representation of proportionality
(1 exercice)
Cross product and fourth proportional
(7 exercices)
Cross product and problems
(5 exercices)
Reduction: use of the scale
(1 exercice)
Reduction: search for scale
(3 exercices)
Speed
(2 exercices)
Percentage
(6 exercices)
Use of percentages
(3 exercices)
Search for a percentage
(4 exercices)
Introduction to developments
(8 exercices)
Evolutions : search for the percentage
(3 exercices)
image PNG : /home/_math/_exercice/d1/1134/metapost/04_1.png
2
;
3
5
;
75
1
;
4
12
;
5
8
;
6
×
?
×
?
a
1
;
6
2
;
8
12
35
33
;
6
×
?
×
?
b
3
4
;
2
5
7
1
2
14
×
?
×
?
Durée
Prix
ChingQuizz
:
11
exercises
a
v
ailable
for
Quizz
assessmen
t
:
1.
R
eminders
on
pr
op
ortionality
E.1132
1
In
eac
h
question
and
for
eac
h
column
of
the
tables,
de-
termine
the
exact
v
alue
of
the
co
efficien
t
to
mo
v
e
from
the
first
ro
w
to
the
second.
a
5.2
4
2.2
3
33.8
26
14.3
19.5
Co
eff.
b
2.3
0.8
4
5
6.9
2.4
12.4
15
Co
eff.
2
Sa
y
whether
or
not
the
tables
ab
o
v
e
represen
t
a
prop
or-
tionalit
y
situation.
E.8825
F
or
eac
h
question,
find
the
v
alue
of
x
v
erifying
a
prop
ortionalit
y
relationship
in
the
table.
T
o
do
this,
horizon
tal
displacemen
ts
will
b
e
used
to
fill
in,
if
necessary
,
the
empt
y
columns
and
th
us
obtain
the
v
alue
of
x
.
a
3
x
4
1.2
b
24
x
14
2.1
c
30
x
20
22
b
10
10.5
7
X
E.8826
Complete
the
tables
b
elo
w
so
that
they
represen
t
a
situation
of
prop
ortionalit
y
and,
if
p
ossible,
the
prop
ortionalit
y
co
efficien
ts
of
these
tables
:
E.8827
Complete
the
follo
wing
diagram
so
that
the
table
represen
ts
a
situation
of
prop
ortionalit
y
:
2.
Gr
aphic
al
r
epr
esentation
of
pr
op
ortionality
E.452
Henry
and
Hugues
ha
v
e
raised
their
telephone
bill
in
recen
t
mon
ths
:
Henry
:
Durée
(en
minutes)
7.5
20
35
40
Prix
(en
CF
A)
1
500
4
000
7
000
8
000
Hugues
:
Durée
(en
minutes)
10
20
30
40
Prix
(en
CF
A)
1
250
3
000
5
250
9
000
1
Chec
k
whether
these
tables
presen
t
a
prop
ortionalit
y
sit-
uation.
2
Consider
the
grid
b
elo
w
:
a
Use
a
reference
frame
suc
h
that
:
h
ttps:/
/c
hingmath.fr
chapExoCorrec/1132
sacados/1132
chapExoCorrec/8825
sacados/8825
chapExoCorrec/8826
sacados/8826
2
;
3
5
;
75
1
;
4
12
;
5
8
;
6
×
?
×
?
a
1
;
6
2
;
8
12
35
33
;
6
×
?
×
?
b
chapExoCorrec/8827
sacados/8827
3
4
;
2
5
7
1
2
14
×
?
×
?
chapExoCorrec/452
sacados/452
Durée
Prix
a
b
c
d
r
6
6
5
-
0
2
5
7
x
On
the
y-axis,
1
000
F
C
F
A
b
e
represen
ted
b
y
1
cm
.
On
the
x-axis,
5
min
b
e
represen
ted
b
y
1
cm
to
place
the
p
oin
ts
defined
b
y
the
v
alues
in
the
columns
of
eac
h
table,
then
connect
these
p
oin
ts
to
represen
t
the
ˇ
curv
es
ı
of
Henry
and
Hugues’
consumption.
b
What
prop
ert
y
do
es
the
curv
e
represen
ting
a
prop
or-
tionalit
y
situation
ha
v
e?
3.
Cr
oss
pr
o
duct
and
fourth
pr
op
ortional
E.4922
Prop
ert
y
of
the
ˇ
pro
duced
in
croix
ı
:
Let
a
,
b
,
c
,
d
b
e
four
non-zero
n
um
b
ers
realiz-
ing
the
prop
ortionalit
y
relation
represen
ted
b
y
the
table
opp
osite,
then
w
e
ha
v
e
the
relation
:
a
×
d
=
b
×
c
Example
of
use
:
A
ccording
to
the
cross
pro
duct
prop
ert
y
,
w
e
ha
v
e
:
2
×
x
=
5
×
7
2
×
x
=
35
x
=
35
2
x
=
17.5
Determine
the
v
alue
of
the
fourth
prop
ortional
in
eac
h
of
the
follo
wing
prop
ortionalit
y
tables
:
a
24
x
9
3
b
15
12
9
x
c
x
54
3
27
E.2097
The
tables
b
elo
w
represen
t
prop
or-
tional
situations.
Determine
the
missing
fourth
prop
ortional
using
the
cross
pro
duct
:
a
3
5
x
1.4
b
21
x
3
5
c
4
x
1.2
0.6
E.8833
Determine,
without
the
aid
of
the
calculator,
the
missing
fourth
prop
ortional
using
the
cross
pro
duct
:
a
9
x
1.2
0.4
b
0.5
0.1
x
0.2
c
x
5.6
2
8
E.2115
Eac
h
of
the
tables
b
elo
w
represen
ts
a
prop
ortional
situation.
Determine
the
missing
fourth
pro-
p
ortional
using
the
cross
pro
duct
and
giv
e
the
result
as
irre-
ducible
fractions
a
6
12
x
5
b
0.7
x
0.6
4
c
15
2
25
x
E.4870
Determine,
without
the
aid
of
the
calculator,
the
missing
fourth
prop
ortional
using
the
cross
pro
duct
:
a
5
3
x
12
b
4
6
x
9
c
14
6
3
x
E.8832
The
tables
b
elo
w
represen
t
prop
or-
tionalit
y
situations.
Determine
the
missing
fourth
prop
or-
tional
using
the
cross
pro
duct
:
a
7
2
5
x
b
5
x
21
14
c
x
0.3
6.4
0.3
E.4871
Determine,
without
the
aid
of
the
calculator,
the
missing
fourth
prop
ortional
using
the
cross
pro
duct
:
a
x
3
2
5
2
1
4
b
10
3
x
2
3
1
2
c
15
14
5
7
x
3
2
4.
Cr
oss
pr
o
duct
and
pr
oblems
E.5650
On
30
July
2013
,
one
euro
(
e
)
w
as
w
orth
1.3256
dollars
($)
.
1
A
computer
costs
450
$
.
What
is
its
price
in
euros?
(we’l
l
r
ound
to
the
ne
ar
est
hundr
e
dth)
.
2
A
tourist
tra
v
els
to
the
United
States
with
the
sum
of
2
000
e
.
After
c
hanging
his
money
in
to
dollars,
what
amoun
t
of
dollars
will
he
get?
(we
wil
l
r
ound
to
the
ne
ar
est
hundr
e
dth)
.
E.5649
A
motorist
m
ust
mak
e
the
trip
from
P
aris
to
Marseille.
These
t
w
o
cities
are
separated
b
y
663
k
m
.
T
aking
the
high
w
a
y
,
he
estimates
the
consumption
of
his
v
ehi-
cle
at
9.5
‘
of
gasoline
for
100
k
m
.
What
will
b
e,
in
this
case,
the
consumption
of
his
car
for
this
trip?
W
e
will
round
this
consumption
to
the
nearest
liter.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/4922
sacados/4922
a
b
c
d
r
6
6
5
-
0
2
5
7
x
chapExoCorrec/2097
sacados/2097
chapExoCorrec/8833
sacados/8833
chapExoCorrec/2115
sacados/2115
chapExoCorrec/4870
sacados/4870
chapExoCorrec/8832
sacados/8832
chapExoCorrec/4871
sacados/4871
chapExoCorrec/5650
sacados/5650
chapExoCorrec/5649
sacados/5649
Tahiti
Raitea
Bora-Bora
Rangiroa
Ahe
Fakarava
×
Ec
helle
Mesure réelle
Mesure réduite
(en
cm)
(en
cm)
a
1
?
?
Marseille
Toulouse
Montpellier
Nice
Bordeaux
Lyon
Nantes
Orléans
Strasbourg
Nancy
Paris
Lille
E.4872
Answ
er,
if
p
ossible,
the
follo
wing
questions
:
1
T
o
mak
e
a
co
c
ktail,
John
needs
1.5
‘
of
orange
juice
for
6
p
eople.
Ho
w
man
y
liters
of
orange
juice,
if
he
wishes
to
mak
e
this
same
co
c
ktail
for
10
p
eople?
2
By
studying
for
3
hours
on
his
math
test,
Eric
has
im-
pro
v
ed
b
y
5
p
oin
ts.
By
ho
w
m
uc
h
will
he
increase
his
grade,
if
he
reviews
the
next
test
for
5
hours?
E.9031
Answ
er,
if
p
ossible,
the
follo
wing
questions
:
1
A
math
teac
her
grades
4
copies
in
to
22
min
.
Ho
w
long,
k
eeping
this
pace,
will
it
tak
e
him
to
grade
a
class
of
26
studen
ts?
2
On
a
trip
of
144
k
m
,
a
motorist
has
consumed
12
‘
of
gasoline.
Ho
w
man
y
miles
will
he
driv
e
on
15
‘
gasoline?
E.5927
The
island
of
Aratik
a
is
north
of
the
island
of
F
ak
ara
v
a.
Using
the
follo
wing
do
cumen
ts
and
the
map
and
considering
that
all
fligh
ts
b
et
w
een
T
ahiti
and
the
T
uamotu
islands
are
at
the
same
a
v
erage
sp
eed,
place
the
island
of
Aratik
a
on
the
map
as
accurately
as
p
ossible,
explaining
in
detail
on
y
our
cop
y
y
our
approac
h.
F
or
this
question,
an
y
trace
of
researc
h,
ev
en
incomplete,
will
b
e
tak
en
in
to
accoun
t
in
the
ev
aluation.
Handout
1
:
T
emps
fligh
t
b
et
w
een
T
ahiti
and
the
T
uamotu
Islands
(North)
:
T
ahiti-Rangiroa
:
55
min
T
ahiti-Apataki
:
1
h
05
min
T
ahiti-Arutua
:
1
h
05
min
T
ahiti-Ahe
:
1
h
15
min
T
ahiti-Aratik
a
:
1
h
15
min
Handout
2
:
Distance
b
et
w
een
the
islands
T
ahiti-Mo
orea
:
17
k
m
F
ak
ara
v
a-Aratik
a
:
50
k
m
T
ahiti-Rangiroa
:
355
k
m
Apataki-Arutua
:
17
k
m
T
ahiti-Raiatea
:
210
k
m
F
aaite-Anaa
:
61
k
m
T
ahiti-Bora
Bora
:
268
k
m
F
ak
ara
v
a-F
aaite
:
21
k
m
T
ahiti-Huahine
:
175
k
m
5.
R
e
duction
:
use
of
the
sc
ale
E.5648
Definition
:
(Wikip
edia)
A
scale
is
the
relationship
b
et
w
een
the
measuremen
t
of
a
real
ob
ject
and
the
measuremen
t
of
its
represen
tation.
It
is
expressed
b
y
a
n
umerical
v
alue
that
is
usually
in
fraction
form.
The
scale
1
=
100
is
also
noted
1.100
or
ˇ
to
100
e
ı
Prop
osition
:
l’
éc
helle
is
the
prop
ortionalit
y
co
efficien
t
for
going
from
real
dimensions
to
reduced
dimensions.
Metho
d
:
for
a
scale
map
1
=
a
,
w
e
use
the
prop
ortionalit
y
table
b
elo
w
:
F
rance
is
sho
wn
b
elo
w
at
scale
1
=
12
000
000
:
h
ttps:/
/c
hingmath.fr
chapExoCorrec/4872
sacados/4872
chapExoCorrec/9031
sacados/9031
chapExoCorrec/5927
sacados/5927
Tahiti
Raitea
Bora-Bora
Rangiroa
Ahe
Fakarava
chapExoCorrec/5648
sacados/5648
×
Ec
helle
Mesure réelle
Mesure réduite
(en
cm)
(en
cm)
a
1
?
?
Marseille
Toulouse
Montpellier
Nice
Bordeaux
Lyon
Nantes
Orléans
Strasbourg
Nancy
Paris
Lille
×
Ec
helle
Mesure réelle
Mesure réduite
(en
cm)
(en
cm)
x
1
?
?
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
1
a
Complete
the
prop
ortionalit
y
table
b
elo
w
:
Distance
P
aris-Marseille
Ec
helle
Distance
réelle
x
Distance
sur
la
carte
b
Determine
the
distance
separating,
as
the
cro
w
flies,
the
capital
P
aris
from
the
cit
y
of
Marseille.
2
A
plane
mak
es
the
follo
wing
daily
rotation
:
P
aris
Nan
tes
Mon
tp
ellier
P
aris
Determine
the
length
of
this
rotation.
6.
R
e
duction
:
se
ar
ch
for
sc
ale
E.8831
Metho
d
:
to
determine
the
denominator
x
of
the
scale
1
=
x
,
w
e
use
the
prop
ortionalit
y
table
b
elo
w
:
Belo
w
is
a
map
of
Mexico,
noting
the
names
of
some
ma
jor
cities
:
Kno
wing
that
the
distance
b
et
w
een
the
cities
of
Cancun
and
Chih
uah
ua
is
2100
k
m
.
Rounding
the
denominator
of
the
scale
to
the
nearest
million,
the
scale
of
the
map
is
:
a
1
=
39
000
000
b
1
=
40
000
000
c
1
=
41
000
000
d
1
=
42
000
000
E.8830
Belo
w
is
a
map
of
the
United
States
of
America
:
The
distance
b
et
w
een
ˇ
Los
Angeles
ı
and
ˇ
New
Y
ork
ı
is
3982
k
m
.
1
Determine
the
distance
b
et
w
een
ˇ
San
F
rancisco
ı
and
ˇ
Miami
ı,
rounded
to
the
nearest
kilometer.
2
The
scale
of
this
map
is
noted
as
1
=
x
.
Rounding
the
v
alue
of
x
to
the
nearest
million,
what
is
the
scale
of
this
map
:
a
1
50
000
000
b
1
51
000
000
c
1
52
000
000
d
1
53
000
000
E.1134
In
a
reduction,
a
prop
ortionalit
y
relation-
ship
b
et
w
een
the
ˇ
real
dimensions
ı
and
ˇ
dimension
réduite
ı.
The
reduction
co
efficien
t
is
the
co
efficien
t
of
prop
ortionalit
y
of
the
ˇ
actual
dimen-
sions
ı
to
the
ˇ
reduced
dimensions
ı
and
is
alw
a
ys
expressed
as
fraction
with
n
u-
merator
equal
to
1
.
The
Eiffel
T
o
w
er
w
as
built
in
1889
and
w
as,
un
til
1930,
the
w
orld’s
tallest
mon
u-
men
t
at
325
meters.
1
a
Measuring
the
heigh
t
of
the
Eif-
fel
T
o
w
er,
determine
the
scale
of
this
reduction
of
the
Eiffel
T
o
w
er.
b
Use
this
reduction
to
determine
the
actual
width
of
the
Eiffel
T
o
w
er.
2
Another
miniature
of
the
Eiffel
T
o
w
er
is
a
scale
represen-
tation
1
4
000
.
Ho
w
tall
is
this
new
miniature?
7.
Sp
e
e
d
h
ttps:/
/c
hingmath.fr
chapExoCorrec/8831
sacados/8831
×
Ec
helle
Mesure réelle
Mesure réduite
(en
cm)
(en
cm)
x
1
?
?
Oaxaca
D.F.
Zacatecas
Chih
uah
ua
Mon
terrey
Cancun
V
eracruz
chapExoCorrec/8830
sacados/8830
San
F
rancisco
Los
Angeles
Houston
Chicago
Miami
A
tlan
ta
W
ashington
New
Y
ork
Seattle
chapExoCorrec/1134
sacados/1134
10
k
m
10
k
m
100
12
200
20
120
340
3
;
4
×
?
?
Somme
possédée
Argent perçu
par les impôts
E.2117
Bruno
is
15
k
m
.
a
w
a
y
from
his
w
orkplace
One
morning,
he
lea
v
es
for
w
ork
at
an
a
v
erage
sp
eed
of
40
k
m
=
h
,
while
in
the
ev
ening,
he
returns
with
an
a
v
erage
sp
eed
of
24
k
m
=
h
.
What
w
as
his
a
v
erage
sp
eed
on
all
his
journeys
that
da
y?
E.5689
The
ˇ
running
course
ı
is
a
round
trip
of
20
k
m
(
10
k
m
on
the
way
ther
e
and
10
k
m
on
the
way
b
ack)
.
F
or
the
out
w
ard
journey
,
whic
h
is
do
wn
wind,
Moana
esti-
mates
that
her
a
v
erage
sp
eed
will
b
e
16
k
m
=
h
.
F
or
the
return
journey
,
due
to
the
headwind
and
fatigue,
Moana
thinks
she
will
run
at
an
a
v
erage
sp
eed
of
10
k
m
=
h
.
Can
w
e
sa
y
that
her
a
v
erage
sp
eed
will
b
e
13
k
m
=
h
o
v
er
the
en
tire
course?
ˇ
running
ı?
Justify
y
our
answ
er.
Note
:
the
ev
aluation
of
this
question
will
tak
e
in
to
accoun
t
y
our
observ
ations
and
researc
h
steps,
ev
en
if
incomplete
;
in-
clude
them
in
y
our
answ
er.
8.
Per
c
entage
E.1443
1
a
The
tax
collector
go
es
through
a
neigh
b
orho
o
d
and
tak
es
12
%
of
the
money
eac
h
residen
t
has
:
that
is,
he
tak
es
12
e
for
ev
ery
100
e
.
Complete
the
table
:
b
This
table
is
a
prop
ortionalit
y
table.
Find
the
co
effi-
cien
t
of
prop
ortionalit
y
and
use
a
calculator
to
v
erify
that
it
applies
to
eac
h
column
in
the
table.
c
Using
the
table
ab
o
v
e,
answ
er
the
follo
wing
questions
:
T
aking
12
%
of
200
e
,
is
the
same
as
taking
.
.
.
.
.
.
e
.
T
aking
12
%
of
120
grams
is
the
same
as
taking
:
:
:
:
:
:
g
T
aking
12
%
of
.
.
.
.
.
.
kilometers
is
the
same
as
taking
2
;
4
k
m
2
Answ
er
the
follo
wing
questions
:
a
T
aking
12
%
of
a
v
alue
is
the
same
as
m
ultiplying
it
b
y
?
100
.
b
T
aking
60
%
of
a
v
alue
means
m
ultiplying
it
b
y
.
.
.
.
.
.
Th
us,
60
%
of
135
e
represen
ts
the
sum
of
.
.
.
.
.
.
E.4873
Metho
d
:
T
o
go
from
a
prop
ortionalit
y
co
efficien
t
to
the
asso
ciated
p
ercen
tage,
w
e
write
it
as
a
fraction
with
100
as
the
denom-
inator.
Example
:
F
or
a
co
efficien
t
of
0.23
:
0.23
=
23
100
The
asso
ciated
p
ercen
tage
is
23
%
F
or
a
co
efficien
t
of
3
5
:
3
5
=
3
×
20
5
×
20
=
60
100
The
asso
ciated
p
ercen
tage
is
60%
.
Giv
e
the
p
ercen
tage
asso
ciated
with
eac
h
of
the
prop
ortional-
it
y
co
efficien
ts
b
elo
w
:
a
1
2
b
1
4
c
1
5
d
1
10
E.4874
Giv
e
the
prop
ortionalit
y
co
efficien
t
asso
ciated
with
eac
h
of
the
p
ercen
tages
b
elo
w
in
the
form
of
a
simplified
fraction
:
a
50
%
b
25
%
c
20
%
d
10
%
E.5686
Belo
w
is
a
sum
and
a
p
ortion
of
that
sum.
Whic
h
situation
represen
ts
the
largest
p
ercen
tage
share
relativ
e
to
the
reference
sum
:
a
6
e
de
60
e
b
11
e
de
44
e
c
6
e
de
15
e
d
42
e
de
120
e
E.8837
Giv
e
the
p
ercen
tage
asso
ciated
with
eac
h
of
the
prop
ortionalit
y
co
efficien
ts
b
elo
w
:
a
3
4
b
3
5
c
3
10
d
1
8
E.8838
Giv
e
the
prop
ortionalit
y
co
efficien
t
asso
ciated
with
eac
h
of
the
p
ercen
tages
b
elo
w
in
the
form
of
a
simplified
fraction
:
a
75
%
b
12
%
c
30
%
d
5
%
9.
Use
of
p
er
c
entages
h
ttps:/
/c
hingmath.fr
chapExoCorrec/2117
sacados/2117
chapExoCorrec/5689
sacados/5689
10
k
m
10
k
m
chapExoCorrec/1443
sacados/1443
100
12
200
20
120
340
3
;
4
×
?
?
Somme
possédée
Argent perçu
par les impôts
chapExoCorrec/4873
sacados/4873
chapExoCorrec/4874
sacados/4874
chapExoCorrec/5686
sacados/5686
chapExoCorrec/8837
sacados/8837
chapExoCorrec/8838
sacados/8838
E.8839
Another
store
is
offering
a
sale
of
12
%
on
all
of
its
items.
A
sw
eater
used
to
cost
45
e
.
What
is
its
new
price
no
w?
E.878
Making
a
costume
requires
:
3
m
sheet
2.5
m
of
lining
of
supplies.
1
What
is
the
price
of
the
fabric
used,
giv
en
that
a
meter
of
fabric
costs
20
e
?
2
a
A
lining
is
used
that
costs
10
%
of
the
price
p
er
meter
of
fabric.
What
is
the
price
p
er
meter
of
lining?
b
What
is
the
price
of
the
lining
purc
hased?
3
What
is
the
price
of
the
supplies,
giv
en
that
it
represen
ts
1
5
of
the
price
of
the
fabric
used?
4
Lab
or
costs
12
e
.
What
is
the
cost
price
of
the
suit?
E.1431
P
.E.T.
(p
oly
eth
ylene
tereph
thalate)
is
one
of
the
most
imp
ortan
t
materials
in
v
olv
ed
in
the
man
u-
facture
of
plastic
b
ottles.
It
tak
es
1
k
g
of
crude
oil
to
form
0.5
k
g
of
P
.E.T.
1
A
pac
k
aging
compan
y
has
to
create
120
000
b
ottles
of
1.5
liters
p
er
da
y
.
Eac
h
of
these
b
ottles
w
eighs
40
grams.
Calculate
the
n
um
b
er
of
kilograms
of
crude
oil
required
for
the
compan
y’s
daily
pro
duction.
2
60
%
less
oil
is
consumed
to
pro
duce
these
b
ottles
from
used
empt
y
b
ottles.
Then
giv
e
the
amoun
t
of
crude
oil
the
compan
y
w
ould
need
if
it
based
all
its
pro
duction
on
recycling
empt
y
b
ottles.
10.
Se
ar
ch
for
a
p
er
c
entage
E.4875
1
In
a
class
of
24
studen
ts,
6
studen
ts
regularly
pla
y
v
olley-
ball.
What
p
ercen
tage
of
studen
ts
in
this
class
pla
y
this
sp
ort?
2
Of
a
flo
c
k
of
72
sheep,
18
sheep
sho
w
signs
of
a
disease.
What
p
ercen
tage
of
the
flo
c
k
is
affected
b
y
this
disease?
E.1423
A
store
w
as
offering
a
V
CR
at
122
e
.
But,
after
an
increase
in
all
the
prices
in
this
store,
the
V
CR
costs
152.5
e
.
What
p
ercen
tage
increase
has
the
store
made?
E.1433
Émilie
and
Cheik
are
eac
h
baking
a
c
ho
colate
cak
e.
Cheik
uses
90
g
c
ho
colate,
20
g
flour,
and
40
g
p
o
wdered
milk
Émilie
uses
210
g
of
c
ho
colate,
73
g
of
flour,
and
117
g
of
p
o
w-
dered
milk
Calculate
the
p
ercen
tage
of
c
ho
colate
in
eac
h
of
the
t
w
o
cak
es.
Bet
w
een
Émilie
and
Cheik,
whose
cak
e
has
the
highest
p
er-
cen
tage
of
c
ho
colate?
E.1422
1
Alexandra,
Y
annic
k
and
Cedric
len
t
362
e
à
Julie.
Alexandra
len
t
her
35
%
of
this
sum,
Y
annic
k
len
t
her
144.8
e
and
Cedric
the
rest.
a
Calculate
the
amoun
t
giv
en
to
Julie
b
y
eac
h
of
her
classmates.
b
Kno
wing
that
Y
annic
k
ga
v
e
80
%
of
his
sa
vings,
giv
e
the
total
amoun
t
of
his
sa
vings.
2
Julie
needed
to
raise
400
e
to
complete
her
pro
ject.
Giv
e
the
p
ercen
tage
curren
tly
raised.
11.
Intr
o
duction
to
developments
E.1133
1
20%
of
the
25
studen
ts
in
a
class
pla
y
so
ccer.
W
e
are
lo
oking
for
the
n
um
b
er
of
studen
ts
who
pla
y
so
c-
cer
:
let
x
represen
t
the
n
um
b
er
of
studen
ts.
Reference
P
art
under
consideration
V
alue
P
ercen
tage
Using
the
cross-pro
duct,
w
e
ha
v
e
:
x
×
:
:
:
:
:
:
=
:
:
:
:
:
:
×
:
:
:
:
:
:
W
e
conclude
that
:
x
=
×
=
2
An
ob
ject
w
en
t
from
130
e
to
149
;
5
e
.
The
ob
ject
has
therefore
increased
b
y
:
:
:
:
:
:
:
:
:
e
.
W
e
are
lo
oking
for
the
p
ercen
tage
increase
in
price
:
let’s
denote
this
p
ercen
tage
as
x
.
Reference
P
art
considered
Num
b
er
P
ercen
tage
Using
the
cross-pro
duct
:
x
×
:
:
:
:
:
:
=
:
:
:
:
:
:
×
:
:
:
:
:
:
W
e
deduce
:
x
=
×
=
%
h
ttps:/
/c
hingmath.fr
chapExoCorrec/8839
sacados/8839
chapExoCorrec/878
sacados/878
chapExoCorrec/1431
sacados/1431
chapExoCorrec/4875
sacados/4875
chapExoCorrec/1423
sacados/1423
chapExoCorrec/1433
sacados/1433
chapExoCorrec/1422
sacados/1422
chapExoCorrec/1133
sacados/1133
22%
×
?
15%
×
?
15
100
260
cm
70
cm
E.6623
A
dam
notices
that
his
bill
has
in-
creased
b
y
22
%
this
mon
th.
W
e
kno
w
that
his
bill
last
mon
th
w
as
78
e
.
1
Complete
the
prop
ortionalit
y
table
at
righ
t
to
determine
the
amoun
t
of
the
increase
in
e
.
2
Deduct
the
new
amoun
t
from
his
new
bill.
E.6622
A
store
offers
a
discoun
t
of
15
%
on
a
refrigerator
whose
initial
price
w
as
340
e
.
1
Complete
the
prop
ortionalit
y
table
at
righ
t
to
determine
the
amoun
t
of
the
reduction
in
e
.
2
Deduct
the
new
price
of
this
reflector.
E.2104
1
Ho
w
m
uc
h
is
25
%
of
the
n
um
b
er
132
?
2
An
ob
ject
of
132
e
exp
eriences
an
increase
of
25
%
.
What
will
its
new
price
b
e?
E.9085
An
ob
ject
from
76
e
is
reduced
b
y
20
%
:
1
Determine
the
n
um
b
er
represen
ting
b
y
20
%
of
76
.
2
Giv
e
the
price
of
this
ob
ject
after
this
reduction.
E.9086
John
usually
pa
ys
220
e
on
his
elec-
tricit
y
bill,
but
the
p
o
w
er
compan
y
has
w
arned
of
a
15
%
increase
in
the
price
of
electricit
y
.
Ho
w
m
uc
h
will
his
next
electricit
y
bill
b
e?
E.4212
During
the
sale,
a
discoun
t
of
25
%
is
giv
en
on
a
game
console.
Its
original
price
w
as
324
e
.
What
is
its
price
during
the
sales?
E.1129
A
computer
costs
640
e
,
but
during
the
sales
p
erio
d,
the
store
decides
to
reduce
the
price
b
y
16
%
.
What
is
the
new
price
of
the
computer?
12.
Evolutions
:
se
ar
ch
for
the
p
er
c
entage
E.1445
1
A
store,
at
the
b
eginning
of
the
sc
ho
ol
y
ear,
increases
all
its
prices
b
y
8
%
:
a
A
D
VD
pla
y
er
cost
112
euros
b
efore
the
increase.
What
is
its
price
after
the
increase?
b
A
desk
lamp
has
increased
b
y
1.92
euros.
What
w
as
its
price
b
efore
increase?
Cop
y
and
use
the
table
b
elo
w
:
Old
price
100
%
Increase
New
price
2
A
jac
k
et
on
sale
w
en
t
from
122
e
à
91.5
e
.
What
w
as
the
p
ercen
tage
reduction?
E.2105
The
price
of
an
ob
ject
is
c
hanged
from
75
e
à
93
e
.
1
What
is
the
amoun
t
of
this
increase?
2
Determine
the
p
ercen
tage
represen
ted
b
y
the
n
um
b
er
18
to
the
n
um
b
er
75
.
3
Giv
e
the
price
c
hange
c
haracteristics
of
this
ob
ject.
E.9087
The
price
of
an
ob
ject
is
c
hanged
from
125
e
à
110
e
.
1
What
is
the
amoun
t
of
this
reduction?
2
Determine
the
p
ercen
tage
represen
ted
b
y
the
n
um
b
er
15
relativ
e
to
the
n
um
b
er
125
.
3
Giv
e
the
price
c
hange
c
haracteristics
of
this
ob
ject.
13.
Unclassifie
d
exer
cises
E.8938
A
family
w
an
ts
to
buy
a
cylin-
drical
ab
o
v
e-ground
p
o
ol
equipp
ed
with
an
electric
pump
for
their
c
hildren.
They
plan
to
use
it
this
summer
from
June
to
Septem
b
er
inclusiv
e.
They
ha
v
e
a
budget
of
200
e
.
Using
the
follo
wing
do
cumen
ts,
determine
whether
this
fam-
ily’s
budget
is
sufficien
t
to
co
v
er
the
purc
hase
of
this
p
o
ol
and
its
op
erating
costs.
Lea
v
e
all
traces
of
y
our
researc
h,
ev
en
if
it
is
incomplete.
Do
cumen
t
1
T
ec
hnical
sp
ecifications
:
W
ater
depth
:
65
cm
A
v
erage
p
o
w
er
consumption
of
the
pump
:
3.42
k
W
h
p
er
da
y
.
Price
(p
o
ol
+
pump)
:
80
e
.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/6623
sacados/6623
22%
×
?
chapExoCorrec/6622
sacados/6622
15%
×
?
15
100
chapExoCorrec/2104
sacados/2104
chapExoCorrec/9085
sacados/9085
chapExoCorrec/9086
sacados/9086
chapExoCorrec/4212
sacados/4212
chapExoCorrec/1129
sacados/1129
chapExoCorrec/1445
sacados/1445
chapExoCorrec/2105
sacados/2105
chapExoCorrec/9087
sacados/9087
chapExoCorrec/8938
sacados/8938
260
cm
70
cm
Do
cumen
t
2
Price
of
a
k
W
h
:
0.15
e
.
The
k
W
h
(kilowatt-hour)
is
the
unit
of
measuremen
t
for
electrical
energy
.
Do
cumen
t
3
Price
of
a
m
3
of
w
ater
:
2.03
e
.
Do
cumen
t
4
The
v
olume
of
a
cylinder
is
giv
en
b
y
the
follo
wing
for-
m
ula
:
V
=
ı
×
r
2
×
h
where
r
is
the
radius
of
the
cylinder
and
h
is
its
heigh
t.
Note
:
w
e
will
use
:
ı
≈
3.1416
E.8939
F
or
Dominique
and
Camille’s
w
ed-
ding,
the
pastry
c
hef
is
offering
t
w
o
tiered
cak
es
made
up
of
cak
es
of
differen
t
sizes
and
shap
es.
The
T
o
w
er
of
Pisa
:
The
first
tiered
cak
e
consists
of
a
stac
k
of
4
cylindrical
cak
es
of
the
same
heigh
t,
with
the
diameter
decreasing
b
y
8
cm
at
eac
h
lev
el.
The
b
ottom
cak
e
has
a
diameter
of
30
cm
and
a
heigh
t
of
6
cm
.
The
Carrée
to
w
er
:
The
second
to
w
er
consists
of
a
stac
k
of
3
straigh
t
blo
c
ks
with
square
bases
of
the
same
heigh
t.
The
length
of
the
side
of
the
base
decreases
b
y
8
cm
at
eac
h
lev
el.
The
heigh
t
of
the
cak
es
is
8
cm
;
the
side
of
the
base
of
the
b
ottom
cak
e
measures
24
cm
.
All
the
cak
es
w
ere
made
using
the
recip
e
b
elo
w,
whic
h
giv
es
the
quan
tities
of
ingredien
ts
corresp
onding
to
100
g
of
c
ho
co-
late.
Cak
e
recip
e
for
100
g
of
c
ho
colate
:
65
g
of
sugar
2
eggs
75
g
butter
30
g
flour
1
What
is
the
ratio
masse
de
b
eurre
masse
de
c
ho
colat
?
Giv
e
the
result
as
an
irreducible
fraction.
2
Calculate
the
amoun
t
of
flour
needed
for
250
g
of
dark
c
ho
colate
according
to
the
recip
e
ab
o
v
e
3
Calculate
the
length
of
the
base
side
of
the
smallest
cak
e
in
the
Square
to
w
er.
4
Whic
h
to
w
er
has
the
largest
v
olume?
Justify
y
our
answ
er
b
y
detailing
y
our
calculations.
Reminder
:
the
v
olume
V
of
a
cylinder
with
radius
r
and
heigh
t
h
is
giv
en
b
y
the
form
ula
:
V
=
ı
×
r
2
×
h
Hin
t
:
w
e
will
use
:
ı
≈
3
;
1416
E.8941
A
compan
y
reim
burses
its
emplo
y-
ees
for
the
cost
of
business
tra
v
el,
when
emplo
y
ees
use
their
p
ersonal
v
ehicles.
T
o
calculate
the
amoun
t
of
these
reim
bursemen
ts,
it
uses
the
follo
wing
form
ula
and
equiv
alency
table
prop
osed
b
y
the
man-
ager
:
Do
cumen
t
1
Refund
amoun
t
:
a
+
b
×
d
where
:
a
is
a
price
(in
eur
os)
that
dep
ends
only
on
the
length
of
the
trip
:
b
is
the
price
paid
(in
eur
os)
p
er
kilometer
tra
v
eled
;
d
is
the
length
in
kilometers
of
the
ˇ
trip
allerı
.
Longueur
d
du
"one-w
a
y
trip"
Prix
a
Prix
b
p
er
kilometer
F
rom
1
km
to
16
km
0.778
1
0.194
4
17
km
to
32
km
0.250
3
0.216
5
33
km
to
64
km
2.070
6
0.159
7
65
km
to
109
km
2.889
1
0.148
9
F
rom
110
km
to
149
km
4.086
4
0.142
5
F
rom
150
km
to
199
km
8.087
1
0.119
3
F
rom
200
km
to
300
km
7.757
7
0.120
9
F
rom
301
km
to
499
km
13.651
4
0.103
0
F
rom
500
km
to
799
km
18.444
9
0.092
1
F
rom
800
km
to
9.999
km
32.204
1
0.075
5
1
F
or
a
ˇ
trip
aller
ı
of
30
k
m
,
c
hec
k
that
the
reim
bursemen
t
amoun
t
is
appro
ximately
6.75
e
.
2
As
part
of
his
job,
an
emplo
y
ee
of
this
compan
y
mak
es
a
trip
to
P
aris.
He
c
ho
oses
to
tak
e
his
car
and
finds
the
information
b
elo
w
on
a
w
ebsite.
Do
cumen
t
2
:
Distance
P
aris
-
Nan
tes
:
386
k
m
T
oll
cost
b
et
w
een
Nan
tes
and
P
aris
:
37
e
A
v
erage
consumption
of
emplo
y
ee’s
car
:
6.2
liters
of
gasoline
at
100
k
m
Price
p
er
liter
of
gasoline
:
1.52
e
Using
Do
cumen
ts
1
and
2,
answ
er
the
follo
wing
question
:
ˇWill
the
amoun
t
of
reim
bursemen
t
b
e
sufficien
t
to
co
v
er
this
emplo
y
ee’s
exp
enses
to
tra
v
el
ˇthe
one-w
a
y
tripı
from
Nan
tes
to
P
aris?ı
h
ttps:/
/c
hingmath.fr
chapExoCorrec/8939
sacados/8939
chapExoCorrec/8941
sacados/8941
Prix (en FCF
A)
Poids (en kg)
0,3
2
2,4
3,7
10
×
Prix (en FCF
A)
Nombre de séances
0
4
10
90000
100
y
x
-2
0
1
3
10
x
2
×
x
−
5
O
x
0
I
2
3
4
5
y
2
4
6
8
10
12
14
16
18
20
22
24
26
E.969
1
A
t
the
sup
ermark
et,
w
e
buy
the
kilogram
of
tomato
at
500
F
C
F
A
.
Complete
the
follo
wing
table
:
2
A
health
club
offers
a
mem
b
ership
of
50
000
F
C
F
A
p
er
y
ear
and
then
the
price
of
a
session
comes
to
2
000
F
C
F
A
.
Complete
the
table
relating
the
n
um
b
er
of
sessions
p
er-
formed
to
the
total
price
paid
:
3
Onagre
is
a
cell
phone
op
erator
that
offers
the
follo
wing
subscriptions
:
Subscription
A
:
subscription
19
euros,
then
0.30
euro
p
er
min
ute
of
comm
unication
;
Subscription
B
:
subscription
29
euros,
then
0.20
euro
p
er
min
ute
of
comm
unication.
Complete
the
follo
wing
table
:
Duration
(in
minutes)
30
45
60
90
Subscription
A
(in
eur
os)
Subscription
B
(in
eur
os)
(fr
om
Guadeloup
e
p
atent,
June
2006.)
4
Consider
a
square
of
side
x
expressed
in
cen
timeters.
W
e
note
y
its
p
erimeter
and
z
its
area.
Complete
the
follo
w-
ing
table
:
x
2
10
15
60
y
z
5
Consider
the
t
w
o
n
um
b
ers
x
and
y
connected
b
y
the
re-
lationship
:
y
=
2
×
x
−
5
W
e
sa
y
w
e
kno
w
y
as
a
function
of
x
.
E.957
F
or
eac
h
question,
giv
e
the
equalit
y
(of
literal
expressions)
in
its
simplest
form.
1
An
ob
ject
suffers
a
decrease
in
5
%
.
Let
ˇ
x
ı
b
e
the
old
price
and
ˇ
y
ı
the
new
price.
Express
ˇ
y
ı
in
terms
of
ˇ
x
ı.
2
Consider
a
square-based
p
yramid
of
side
4
cm
and
un-
kno
wn
heigh
t.
Noting
ˇ
h
ı
the
heigh
t
of
the
p
yramid
and
ˇ
V
ı
its
v
olume,
express
ˇ
V
ı
as
a
function
of
ˇ
h
ı.
3
A
dance
club
c
harges
a
mem
b
ership
of
60
e
=
mois
and
in
addition
15
e
for
eac
h
hour
of
lessons
tak
en.
Let
ˇ
x
ı
b
e
the
n
um
b
er
of
lessons
tak
en
in
a
mon
th
and
ˇ
y
ı
the
price
paid
for
that
mon
th.
Express
ˇ
y
ı
in
terms
of
ˇ
x
ı.
E.889
Let
AB
C
D
b
e
a
square
with
side
length
x
cm.
1
Complete
the
follo
wing
table
:
x
0
0
;
5
1
2
3
4
5
P
erimeter
(
P
x
)
Area
(
A
x
)
2
The
transition
from
line
1
o
to
line
2
o
is
a
phenomenon
of
prop
ortionalit
y
b
ecause
:
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
The
transition
from
line
1
o
to
line
3
o
is
not
a
phenomenon
of
prop
ortionalit
y
b
ecause
:
=
et
=
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
3
Let
(
P
)
b
e
the
curv
e
formed
b
y
p
oin
ts
whose
co
ordinates
are
of
the
form
(
x
;
P
x
)
.
Let
(
A
)
b
e
the
curv
e
formed
b
y
p
oin
ts
whose
co
ordinates
are
of
the
form
(
x
;
A
x
)
.
a
In
the
co
ordinate
system
b
elo
w,
plot
the
curv
es
(
P
)
and
(
A
)
:
b
Complete
the
follo
wing
sen
tence
:
The
represen
tation
of
a
prop
ortionalit
y
situation
is
a
.
.
.
.
.
.
passing
through
.
.
.
.
.
.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/969
sacados/969
Prix (en FCF
A)
Poids (en kg)
0,3
2
2,4
3,7
10
×
Prix (en FCF
A)
Nombre de séances
0
4
10
90000
100
y
x
-2
0
1
3
10
x
2
×
x
−
5
chapExoCorrec/957
sacados/957
chapExoCorrec/889
sacados/889
O
x
0
I
2
3
4
5
y
2
4
6
8
10
12
14
16
18
20
22
24
26
Volume de l’eau liquide
(en
‘
)
V
olume
de
la
glace
en
litre
en
fonction
du
v
olume
d’eau
liquide
en
litre
0
1
2
3
4
5
6
7
8
9
10
11
Volume de la glace
(en
‘
)
1
2
3
4
5
6
7
8
9
10
11
12
13
0.4
0.3
E.3907
The
w
ater
as
it
freezes
increases
in
v
olume.
The
line
segmen
t
b
elo
w
represen
ts
the
v
olume
of
ice
(in
liters)
obtained
from
a
v
olume
of
liquid
w
ater
(in
liters)
.
1
Using
the
graph,
answ
er
the
follo
wing
questions
:
a
What
is
the
v
olume
of
ice
obtained
from
6
liters
of
liquid?
b
What
v
olume
of
liquid
w
ater
m
ust
b
e
frozen
to
obtain
10
liters
of
ice?
2
Is
the
v
olume
of
ice
prop
ortional
to
the
v
olume
of
liquid
w
ater?
Justify
.
3
It
is
assumed
that
10
liters
of
w
ater
yield
10.8
liters
of
ice.
By
what
p
ercen
tage
do
es
this
v
olume
increase
as
it
freezes?
E.6310
When
c
ho
osing
a
TV,
computer
monitor,
or
tablet
touc
hscreen,
y
ou
can
lo
ok
at
:
to
its
asp
ect
ratio,
whic
h
is
the
ratio
of
screen
length
to
screen
width
;
to
its
diagonal,
whic
h
is
measured
in
inc
hes.
One
inc
h
is
equal
to
2.54
cm
.
1
A
television
screen
has
a
length
of
80
cm
and
a
width
of
45
cm
.
Is
this
a
4
3
screen
or
16
9
?
2
A
screen
is
sold
as
ˇ
15
inc
hes
ı.
The
follo
wing
measure-
men
ts
are
tak
en
:
the
length
is
30.5
cm
and
the
width
is
22.9
cm
.
Do
es
the
ˇ
15-inc
h
ı
lab
el
fit
this
displa
y?
3
A
touc
hscreen
tablet
has
a
diagonal
7
inc
h
screen
size
4
3
.
Since
its
length
is
14.3
cm
,
calculate
its
width,
rounded
to
the
nearest
mm
.
E.9094
Eb
on
y
is
a
blac
k
w
o
o
d
:
it
is
one
of
the
hardest
and
densest
of
the
precious
w
o
o
ds.
An
eb
on
y
statue
of
15
dm
3
w
eighs
17
k
g
.
Giv
e
the
w
eigh
t
of
a
piece
of
one
cubic
meter.
Hin
t
:
1
m
3
=
1000
dm
3
Round
the
result
to
the
nearest
kilogram.
E.3374
Air,
in
the
terrestrial
en
vironmen
t,
is
a
mixture
:
of
78
%
de
diazote
de
dio
xygen
d
other
gases
(ozone,
ar
gon,
water
vap
or,
c
arb
on
diox-
ide,.
.
.
)
1
The
air
con
tained
in
a
so
ccer
w
eighs
470.6
g
.
Under
fixed
conditions
of
temp
erature
and
pressure,
the
mass
of
one
liter
of
air
is
1.3
g
.
Then
determine
the
mass,
rounded
to
the
nearest
gram,
and
then
the
v
olume,
rounded
to
the
nearest
liter,
of
dinitrogen
inside
the
flask.
2
A
classro
om
of
v
olume
30
m
3
con
tains
6.3
m
3
de
dio
xy-
gen.
Find
the
p
ercen
tage
of
dio
xygen
and
the
p
ercen
tage
of
gases
presen
t
in
air,
other
than
diazote
and
dio
xygen.
E.7629
Sarah
has
just
had
a
p
o
ol
built
that
is
shap
ed
lik
e
a
righ
t-handed
pa
ving
stone
of
8
m
in
length,
4
m
in
width,
and
1.80
m
in
depth.
She
no
w
wishes
to
fill
her
p
o
ol.
So
she
installs
her
garden
hose.
Sarah
has
noticed
that
with
her
garden
hose,
she
can
fill
a
10
liter
buc
k
et
in
18
seconds.
T
o
fill
one’s
p
o
ol,
a
space
of
20
cm
m
ust
b
e
left
b
et
w
een
the
surface
of
the
w
ater
and
the
top
of
the
p
o
ol.
Do
es
it
tak
e
more
or
less
than
one
da
y
to
fill
the
p
o
ol?
Justify
y
our
answ
er.
E.10898
In
one
store,
the
o
wner
raises
all
his
prices
b
y
12
%
.
1
A
video
recorder
cost
215
e
b
efore
the
increase.
Giv
e
the
price
of
this
item
after
undergoing
the
increase.
2
And
a
D
VD
pla
y
er
has
undergone
an
increase
of
36
e
.
De-
termine
the
price
of
this
D
VD
pla
y
er
b
efore
the
increase
and
its
price
after
the
increase.
E.10899
Come
July
,
the
sales
b
egin
in
F
rance.
A
store
displa
ys
−
15
%
on
all
items
in
its
store.
A
sw
eater
has
gone
from
:
40
e
to
34.4
e
.
Explain
wh
y
the
o
wner
adv
ertised
falsely
.
E.10900
In
its
1995
census,
Mexico
had
91.15
million
inhabitan
ts.
Whereas
in
2000
,
there
w
ere
97.48
mil-
lion
inhabitan
ts.
1
What
is
the
p
ercen
tage
increase
in
p
opulation
b
et
w
een
these
t
w
o
dates?
Round
to
the
nearest
ten
th.
2
Whereas
b
et
w
een
1980
and
2000
,
the
p
opulation
grew
b
y
43.1%
.
Giv
e
the
p
opulation
of
Mexico
in
1980
?
Round
the
result
to
the
nearest
ten
thousand
inhabitan
ts.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/3907
sacados/3907
Volume de l’eau liquide
(en
‘
)
V
olume
de
la
glace
en
litre
en
fonction
du
v
olume
d’eau
liquide
en
litre
0
1
2
3
4
5
6
7
8
9
10
11
Volume de la glace
(en
‘
)
1
2
3
4
5
6
7
8
9
10
11
12
13
0.4
0.3
chapExoCorrec/6310
sacados/6310
chapExoCorrec/9094
sacados/9094
chapExoCorrec/3374
sacados/3374
Madagascar - Juin 2008
chapExoCorrec/7629
sacados/7629
chapExoCorrec/10898
sacados/10898
chapExoCorrec/10899
sacados/10899
chapExoCorrec/10900
sacados/10900
Ancienne
valeur
Augmen-
tation
Nouvelle
valeur
100
75
120
200
50
×
Ancienne
valeur
Réduction
Nouvelle
valeur
100
75
120
200
50
×
−
5%
E.158
1
On
the
t
w
o
tables
b
elo
w
represen
ting
a
phenomenon
of
reduction
and
increase
of
5
%
on
the
same
v
alues,
start
b
y
filling
in
the
empt
y
b
o
xes.
2
Deduct
the
m
ultiplier
co
efficien
ts
to
go
from
the
old
pric
e
to
the
new
pric
e
in
eac
h
of
the
t
w
o
cases.
h
ttps:/
/c
hingmath.fr
sacados/158
Ancienne
valeur
Augmen-
tation
Nouvelle
valeur
100
75
120
200
50
×
Ancienne
valeur
Réduction
Nouvelle
valeur
100
75
120
200
50
×
−
5%
ChingMath
by ChingLab
©
Middle School
Grade 6
Grade 7
Grade 8
Grade 9
High School
Grade 10
Grade 11
Grade 12
Grade 12 opt. Complémentaire
Grade 12 opt. Experte
Various
Contact me
F.A.Q
Other website
ChingWeb