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 11 - STMG
/ Proportion
14 exercises (100% corrected)
a
Statistical reminder
(4 exercices)
Intersection and union
(3 exercices)
Relationship on union
(5 exercices)
Spreadsheet
(2 exercices)
Cyclomotoristes
Usagers
de
v
oitures
de
tourisme
Moto
cyclistes
Nom
bre
de
p
ersonne
500
1000
1500
2000
2500
3000
12
ans
13
ans
14
ans
15
ans
16
ans
17
ans
18
ans
19
ans
20
ans
21
ans
22
ans
23
ans
24
ans
1.
Statistic
al
r
eminder
E.7070
The
t
w
o
parts
are
indep
enden
t
P
art
A
In
2003,
on
a
v
erage,
ev
ery
da
y
in
F
rance,
nearly
49.1
p
eople
âaged
12
to
18
w
ere
victims
(injur
e
d
or
kil
le
d)
in
road
acci-
den
ts.
On
a
v
erage,
mop
eds
accoun
t
for
the
highest
n
um
b
er
of
victims
(26.0
victims
p
er
day)
,
follo
w
ed
b
y
passenger
cars
(12.8
victims
p
er
day)
,
p
edestrians
(5.0
victims
p
er
day)
and
cyclists
(2.5
victims
p
er
day)
.
The
table
b
elo
w
sho
ws
the
distribution
of
road
acciden
t
vic-
tims
âaged
12
to
18
b
y
age
and
user
category
for
the
y
ear
2003.
Age
P
edestrians
Cyclis
te
Cyclo
moto
ristes
Moto
cycliste
Usagers
de
v
oiture
de
tourisme
Autres
Users*
T
otal
12
ans
330
147
49
22
247
24
819
13
ans
263
165
122
23
279
26
878
14
ans
234
135
1
010
35
292
37
1
743
15
ans
260
139
1
701
57
396
27
2
580
16
ans
269
111
2
549
136
610
25
3
700
17
ans
223
111
2
457
259
925
39
4
013
18
ans
248
115
1
605
214
1
940
59
4
181
T
otal
1
827
923
9
493
745
4
689
237
17
914
*
Users
of
vans,
he
avy
go
o
ds
vehicles,
public
tr
ansp
ort.
.
.
Data
from
the
w
ebsite
:
http
://eduscol.education.fr/D0187/default.htm
1
Chec
k
that
in
2003,
on
a
v
erage,
there
w
ere
26.0
mop
ed
riders
âaged
12
to
18
who
w
ere
victims
of
road
acciden
ts
ev
ery
da
y
in
F
rance.
2
Calculate
the
p
ercen
tage,
among
mop
ed
riders,
of
acci-
den
t
victims
under
13
y
ears
of
age,
rounded
to
the
nearest
0.1
%
3
Calculate
the
p
ercen
tage
of
acciden
t
victims
under
18
y
ears
of
age
among
all
acciden
t
victims,
rounded
to
the
nearest
0.1
%
.
P
art
B
The
graph
b
elo
w
giv
es,
for
the
âge
12-24
age
group,
the
n
um-
b
er
of
road
acciden
t
victims
in
2003
b
y
âge
for
three
user
categories
:
mop
ed
riders,
motorcyclists
and
passenger
car
users.
Victims
of
acciden
ts
on
mop
eds,
motorcycles
or
passenger
cars
1
a
Indicate
the
âges
for
whic
h,
in
2003
the
n
um
b
er
of
passenger
car
casualties
exceeds
2
000.
the
n
um
b
er
of
mop
ed
casualties
is
appro
ximately
equal
to
1
000.
b
A
v
ec
the
precision
allo
w
ed
b
y
the
graph,
determine
the
n
um
b
er
of
mop
ed
riders
âaged
20
y
ears
who
are
victims
of
a
road
acciden
t.
2
a
A
t
what
âage
is
the
n
um
b
er
of
victims
of
passenger
car
acciden
ts
at
its
highest?
b
What
phenomenon(s)(s)
can
explain
the
fact
that
as
age
increases,
the
n
um
b
er
of
victims
of
passenger
car
acciden
ts
rises
rapidly
and
then
gradually
declines?
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7070
sacados/7070
Extrait France 1L Septembre 2006
Cyclomotoristes
Usagers
de
v
oitures
de
tourisme
Moto
cyclistes
Nom
bre
de
p
ersonne
500
1000
1500
2000
2500
3000
12
ans
13
ans
14
ans
15
ans
16
ans
17
ans
18
ans
19
ans
20
ans
21
ans
22
ans
23
ans
24
ans
27
o
63
o
72
o
A
B
E
E.7067
W
e’re
in
terested
in
three
classes
of
sixth
graders
at
a
sc
ho
ol.
V
olleyball
and
so
ccer
are
offered
as
extracurricular
activities,
and
b
et
w
een
them
they
ha
v
e
354
mem
b
ers.
Here
is
some
additional
information
gathered
:
76
girls
ha
v
e
signed
up
for
V
olleyball
V
olleyball
has
132
mem
b
ers.
The
b
o
ys
n
um
b
er
238
.
V
olley-ball
F
o
otball
T
otal
Garçons
Filles
T
otal
E.7068
A
compan
y
closes
in
July
and
August.
All
the
compan
y’s
50
emplo
y
ees
tak
e
their
v
acations
during
this
p
erio
d.
W
e
ha
v
e
the
follo
wing
information
:
12
men
to
ok
their
v
acation
in
July
.
28
p
eople
to
ok
their
v
acation
in
August.
The
compan
y
has
17
w
omen
Cop
y
and
complete
the
table
opp
osite
:
July
August
T
otal
F
emmes
en
v
acances
Hommes
en
v
acances
T
otal
en
v
acances
E.7075
The
semi-circular
diagram
b
elo
w
sho
ws
the
grades
of
the
384
studen
ts
in
all
fourth-y
ear
classes
at
a
sc
ho
ol
:
Complete
the
table
b
elo
w
;
the
n
um
b
ers
will
b
e
rounded
to
the
nearest
whole
n
um
b
er
and
the
frequencies
in
p
ercen
tage
will
b
e
rounded
to
the
nearest
ten
th.
Class
[0
;
5[
[5
;
10[
[10
;
15[
[15
;
20[
total
Angles
Num
b
er
Cum.
no.
ascending
Cum.
freq.
descending
F
requency
en
%
(T
o
fil
l
in
the
line
for
ˇ
n
um
b
ers
of
studen
ts
ı,
use
the
pr
op
or-
tionality
b
etwe
en
the
size
of
the
angles
and
this)
2.
Interse
ction
and
union
E.7076
Consider
a
p
opulation
E
and
t
w
o
sub-
p
opulations
A
and
B
sho
wn
b
elo
w.
1
a
What
is
the
total
n
um
b
er
of
p
eople
in
this
study?
b
Giv
e
the
size
of
the
subp
opulation
A
.
Giv
e
the
p
er-
cen
tage
prop
ortion
represen
ted
b
y
A
relativ
e
to
E
.
c
Determine
the
prop
ortion
of
B
individuals
among
E
.
2
a
Determine
the
size
of
the
union
A
∪
B
of
the
subp
op-
ulations
A
and
B
.
b
Deduce
the
prop
ortion
near
A
∪
B
among
E
.
3
a
Determine
the
size
of
the
in
tersection
A
∩
B
of
the
subp
opulations
A
and
B
.
b
Deduce
the
appro
ximate
p
ercen
tage
prop
ortion
of
A
∩
B
among
E
;
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7067
sacados/7067
chapExoCorrec/7068
sacados/7068
chapExoCorrec/7075
sacados/7075
27
o
63
o
72
o
chapExoCorrec/7076
sacados/7076
A
B
E
E
A
B
A
B
E
E.7078
Consider
a
p
opulation
E
and
t
w
o
sub-
p
opulations
A
and
B
sho
wn
b
elo
w.
Results
should
b
e
rounded
to
the
nearest
ten
th.
1
What
p
ercen
tage
prop
ortion
is
represen
ted
b
y
A
∪
B
among
E
?
2
a
What
p
ercen
tage
prop
ortion
is
represen
ted
b
y
A
∩
B
among
E
?
b
What
p
ercen
tage
prop
ortion
is
represen
ted
b
y
A
∩
B
among
A
?
E.7148
In
a
high
sc
ho
ol,
the
grouping
of
T
erminale
STG
studen
ts
according
to
their
sp
ecialization
and
c
hoice
of
mo
dern
language
1
is
sho
wn
in
the
table
b
elo
w
:
English
Italian
Spanish
T
otal
CGRH
15
12
9
36
Mark
eting
21
15
18
54
CFE
15
21
9
45
GSI
6
6
3
15
T
otal
57
54
39
150
W
e
consider
the
follo
wing
sub-p
opulations
:
C
:
ˇ
all
studen
ts
who
ha
v
e
c
hosen
the
CGRH
sp
ecializa-
tion
ı
;
I
:
ˇ
all
studen
ts
studying
Italian
as
their
first
foreign
language
ı
1
Determine
the
prop
ortions
represen
ted
b
y
eac
h
of
the
sub-p
opulations
C
and
I
among
all
T
erminale
STG
stu-
den
ts.
2
W
e
denote
A
as
the
subp
opulation
of
studen
ts
who
ha
v
e
c
hosen
the
sp
ecialt
y
C
GR
H
and
are
studying
Italian
as
their
first
foreign
language.
Determine
the
prop
ortion
of
subp
opulation
A
among
all
STG
studen
ts.
3
Consider
the
subp
opulation
B
of
studen
ts
who
ha
v
e
c
ho-
sen
the
sp
ecialt
y
C
GR
H
or
are
studying
Italian
as
their
first
foreign
language.
Determine
the
prop
ortion
of
the
subp
opulation
B
among
all
STG
studen
ts.
3.
R
elationship
on
union
E.7091
Consider
a
p
opulation
E
and
t
w
o
sub-
p
opulations
A
and
B
represen
ted
b
elo
w
:
The
crosses
represen
t
the
individuals
in
the
study
p
opulation.
W
e
note
n
E
,
n
A
,
n
B
,
n
A
∪
B
,
n
A
∩
B
the
resp
ectiv
e
headcoun
ts
of
E
,
A
,
B
,
A
∪
B
and
A
∩
B
.
1
a
Determine
headcoun
t
v
alues
n
E
,
n
A
,
n
B
,
n
A
∪
B
,
n
A
∩
B
.
b
What
relationship
c
hec
ks
n
A
,
n
B
,
n
A
∪
B
and
n
A
∩
B
?
2
Establish
equalit
y
:
p
A
∪
B
=
p
A
+
p
B
−
p
A
∩
B
E.7092
In
a
p
opulation
E
,
consider
the
t
w
o
sub-
p
opulations
A
and
B
v
erifying
whose
prop
ortions
relativ
e
to
E
v
erify
:
p
A
=
0.37
;
p
B
=
0.48
;
p
A
∪
B
=
0.62
1
Determine
the
v
alue
of
p
A
∩
B
.
2
Results
should
b
e
rounded
to
the
nearest
unit.
a
Kno
wing
that
the
subp
opulation
B
has
a
p
opulation
size
of
212
,
determine
the
total
p
opulation
size.
b
Deduce
the
size
of
the
in
tersection
A
∩
B
.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7078
sacados/7078
E
A
B
chapExoCorrec/7148
sacados/7148
chapExoCorrec/7091
sacados/7091
A
B
E
chapExoCorrec/7092
sacados/7092
1
2
3
4
5
6
7
A
B
C
D
E
F
Nord
Sud
Est
Ouest
TOT
AL
F
o
otball
150
125
75
250
600
Handball
50
75
30
85
240
T
ennis
35
30
15
50
130
Judo
70
50
20
100
240
TOT
AL
305
280
140
485
1210
F
réquence
en
%
25,2
23,1
11,6
40,1
100
E.7094
A
sc
ho
ol
offers
only
t
w
o
extracurricular
activities
:
a
drama
club
and
an
in
tro
ductory
programming
w
orkshop.
W
e
kno
w
that
the
same
n
um
b
er
of
p
eople
are
enrolled
in
b
oth
activities.
W
e
adopt
the
follo
wing
notations
:
T
:
the
subp
opulation
of
studen
ts
enrolled
in
the
drama
club
;
I
:
the
subp
opulation
of
studen
ts
enrolled
in
the
com-
puter
w
orkshop.
The
follo
wing
prop
ortions
are
giv
en
:
p
T
∩
I
=
0.13
;
p
T
∪
I
=
0.47
Determine
the
prop
ortion
of
subp
opulations
T
and
I
P
rela-
tiv
e
to
the
sc
ho
ol
as
a
whole.
E.7149
W
e
consider
the
table
b
elo
w,
whic
h
giv
es
the
baccalaureate
results
of
175
studen
ts
in
the
final
classes
of
a
lycée
according
to
the
series
:
T
erminale
S
T
erminale
ES
T
erminale
STG
T
otal
A
dmis
63
28
63
154
Refusés
7
6
8
21
T
otal
70
34
71
175
W
e
note
:
A
:
ˇ
the
subp
opulation
of
studen
ts
admis
ı
;
S
ˇ
the
subp
opulation
of
T
erminale
S
studen
ts
ı.
1
Determine
the
prop
ortions
p
A
,
p
S
and
p
A
∪
S
resp
ectiv
ely
of
the
A
,
S
and
A
∪
S
subp
opulations
among
all
T
ermi-
nale
studen
ts.
2
Indicate
the
prop
ortion
of
the
subp
opulation
A
∩
S
.
E.7093
An
urn
con
tains
t
w
en
t
y
balls
n
um
b
ered
from
1
to
20
;
the
first
fiv
e
are
red,
the
next
sev
en
are
blue,
the
next
eigh
t
are
y
ello
w.
The
study
p
opulation
is
the
set
of
balls
in
the
urn,
and
w
e
consider
the
follo
wing
subp
opulations
A
:
ˇ
Balls
with
a
n
um
b
er
pair
ı
;
B
:
ˇ
Balls
rouges
ı
;
C
:
ˇ
Red
or
n
um
b
ered
balls
pair
ı
;
D
:
ˇ
Red
balls
and
b
earing
an
ev
en
n
um
b
er
ı.
1
Determine
the
n
um
b
ers
in
eac
h
of
these
subp
opulations.
2
What
relationships
can
b
e
established
b
et
w
een
these
n
um
b
ers?
4.
Spr
e
adshe
et
E.7073
A
study
lo
oks
at
the
n
um
b
er
of
sp
orts
licensees
in
a
departmen
t.
T
o
facilitate
this
study
,
the
depart-
men
t
w
as
divided
in
to
four
parts
(North,
South,
East,
W
est)
.
Here
is
a
table
summarizing
this
study
:
The
data
from
the
range
B2
:E5
w
as
en
tered,
then
three
for-
m
ulas
w
ere
used
:
A
form
ula
in
F2
,
then
copied
to
the
range
F2
:F5
;
A
form
ula
in
B6
,
then
copied
to
the
range
B6
:F6
;
A
form
ula
in
B7
,
then
copied
to
the
range
B7
:F7
;
1
Among
the
prop
osed
form
ulas,
whic
h
form
ula
is
used
in
F2
?
a
=
SUM(B2
:E2)
b
=SUM(B$2
:E$2)
2
Whic
h
of
the
form
ulas
pro
vided
is
used
in
B6
?
a
=SUM(B2
:B5)
b
=
SUM($B2
:$B5)
3
Among
the
form
ulas
pro
vided,
whic
h
form
ula
is
used
in
B7
?
a
=ROUND(B6/F6
;2)
b
=ROUND(B6/F$6
;2)
c
=ROUND(B6/$F6
;2)
d
=ROUND(B$6/F6
;2)
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7094
sacados/7094
chapExoCorrec/7149
sacados/7149
chapExoCorrec/7093
sacados/7093
chapExoCorrec/7073
sacados/7073
1
2
3
4
5
6
7
A
B
C
D
E
F
Nord
Sud
Est
Ouest
TOT
AL
F
o
otball
150
125
75
250
600
Handball
50
75
30
85
240
T
ennis
35
30
15
50
130
Judo
70
50
20
100
240
TOT
AL
305
280
140
485
1210
F
réquence
en
%
25,2
23,1
11,6
40,1
100
1
2
3
4
5
6
7
8
9
10
11
12
13
A
B
C
D
tableau
1
c
haîne
bleue
c
haîne
jaune
T
otal
nom
bre
d’inciden
ts
p
our
lesquels
l’alarme
a
fonctionné
46
72
nom
bre
d’inciden
ts
p
our
lesquels
l’alarme
n’a
pas
fonctionné
T
otal
52
tableau
2
p
ourcen
tage
d’inciden
ts
p
our
lesquels
l’alarme
a
fonctionné
96%
p
ourcen
tage
d’inciden
ts
p
our
lesquels
l’alarme
n’a
pas
fonctionné
T
otal
100
%
100
%
tableau
3
c
haîne
bleue
c
haîne
jaune
T
otal
p
ourcen
tage
d’inciden
ts
p
our
lesquels
l’alarme
a
fonctionné
39%
61%
100%
p
ourcen
tage
d’inciden
ts
p
our
lesquels
l’alarme
n’a
pas
fonctionné
67%
33%
100%
T
aux
de
défaillance
du
système
d’alarme
en
%
0
1
2
3
4
5
6
7
8
9
10
11
12
Coût
mo
y
en
d’une
in
terv
en
tion
en
euros
500
1000
1500
2000
2500
E.7071
A
compan
y
has
t
w
o
pro
duction
lines
designated
as
:
blue
line,
y
ello
w
line.
An
alarm
system
detects
inciden
ts
that
ma
y
o
ccur
on
eac
h
of
these
t
w
o
lines.
In
order
to
c
hec
k
the
effectiv
eness
of
this
alarm
system,
the
n
um
b
er
of
times
the
system
w
as
triggered
o
v
er
a
one-mon
th
p
erio
d
w
as
observ
ed,
as
w
ell
as
an
y
fail-
ures
(i.e.
incidents
that
o
c
curr
e
d
without
the
alarm
b
eing
trig-
ger
e
d)
.
The
results
w
ere
recorded
in
a
spreadsheet
(T
able
1)
.
Some
cells
in
this
table
ha
v
e
b
een
hidden.
There
w
ere
52
inciden
ts
on
the
blue
line,
46
of
whic
h
w
ere
detected
b
y
the
alarm
system.
F
or
the
y
ello
w
c
hain,
the
alarm
system
w
as
triggered
72
times,
or
in
96
%
of
the
inciden
ts
that
o
ccurred
on
this
c
hain.
1
a
Calculate
the
total
n
um
b
er
of
inciden
ts
that
o
c-
curred
on
the
y
ello
w
c
hain.
b
Complete
T
able
1.
c
What
form
ula
w
as
en
tered
in
cell
D2
,
giv
en
that
it
w
as
copied
do
wn
to
D4
?
2
In
T
able
2,
where
the
cells
are
formatted
as
p
ercen
tages,
w
e
w
an
t
to
obtain
the
p
ercen
tages
relativ
e
to
the
n
um
b
er
of
inciden
ts
observ
ed
on
eac
h
c
hain
a
Calculate
the
p
ercen
tage
of
inciden
ts
that
o
ccurred
on
the
blue
c
hain
for
whic
h
the
alarm
did
not
w
ork.
The
result
will
b
e
rounded
to
0.1
%
.
b
Complete
T
able
2.
c
Whic
h
form
ula
w
as
en
tered
in
cell
B7
,
and
then
copied
do
wn
in
to
cells
B8
et
B9
?
3
W
e
are
in
terested
in
T
able
3.
a
In
cell
C13
,
w
e
find
the
n
um
b
er
33
%
.
Giv
e
an
in
ter-
pretation
of
this
n
um
b
er.
b
What
form
ula
w
as
en
tered
in
cell
B12
,
and
then
copied
throughout
T
able
3?
4
The
failure
rate
of
an
alarm
system
is
defined
as
the
p
er-
cen
tage
of
inciden
ts
for
whic
h
the
alarm
did
not
w
ork
compared
to
the
total
n
um
b
er
of
inciden
ts
that
o
ccurred
on
the
c
hain,
based
on
the
failure
rate
of
the
alarm
sys-
tem.
The
compan
y
considers
that
the
alarm
system
is
not
ef-
fectiv
e
when
the
a
v
erage
cost
of
an
in
terv
en
tion
exceeds
1
500
e
.
a
A
t
what
failure
rate
is
the
alarm
system
no
longer
con-
sidered
effectiv
e?
The
result
will
b
e
giv
en
to
the
near-
est
0.2
%
b
Is
the
alarm
system
effectiv
e
for
the
blue
c
hain?
F
or
the
y
ello
w
c
hain?
Justify
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7071
sacados/7071
1
2
3
4
5
6
7
8
9
10
11
12
13
A
B
C
D
tableau
1
c
haîne
bleue
c
haîne
jaune
T
otal
nom
bre
d’inciden
ts
p
our
lesquels
l’alarme
a
fonctionné
46
72
nom
bre
d’inciden
ts
p
our
lesquels
l’alarme
n’a
pas
fonctionné
T
otal
52
tableau
2
p
ourcen
tage
d’inciden
ts
p
our
lesquels
l’alarme
a
fonctionné
96%
p
ourcen
tage
d’inciden
ts
p
our
lesquels
l’alarme
n’a
pas
fonctionné
T
otal
100
%
100
%
tableau
3
c
haîne
bleue
c
haîne
jaune
T
otal
p
ourcen
tage
d’inciden
ts
p
our
lesquels
l’alarme
a
fonctionné
39%
61%
100%
p
ourcen
tage
d’inciden
ts
p
our
lesquels
l’alarme
n’a
pas
fonctionné
67%
33%
100%
T
aux
de
défaillance
du
système
d’alarme
en
%
0
1
2
3
4
5
6
7
8
9
10
11
12
Coût
mo
y
en
d’une
in
terv
en
tion
en
euros
500
1000
1500
2000
2500
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