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4
3
2
1
Grade 8
/ Cartesian markers
7 exercises (100% corrected)
a
Cartesian location in the plane
(2 exercices)
Locating in straight blocks
(3 exercices)
Cartesian location in space
(2 exercices)
temps
t
en
h
0
1
2
3
4
5
6
7
8
9
10
Nombre de bactéries
2000
4000
6000
8000
10000
12000
Chat
quand
est
cliqué
Départ
Quand
πèc
he
gauc
he
est
cliqué
a
jouter
-40
à
x
Quand
πèc
he
droite
est
cliqué
a
jouter
80
à
x
Quand
πèc
he
haut
est
cliqué
a
jouter
80
à
y
Quand
πèc
he
bas
est
cliqué
a
jouter
-40
à
y
Quand
n’imp
orte
quoi
est
cliqué
dire
Je
t’ai
attrap
é
p
endan
t
2
secondes
Départ
Si
Balle
touc
hée
alors
B
C
D
E
F
G
H
O
I
J
K
x
y
z
1.
Cartesian
lo
c
ation
in
the
plane
E.7984
Legionella
are
bacteria
found
in
drinking
w
ater.
When
the
w
ater
temp
erature
is
b
et
w
een
30
o
C
and
45
o
C
,
these
bacteria
proliferate
and
can
reac
h,
in
2
or
3
da
ys,
concen
trations
dangerous
to
h
umans.
Recall
that
ˇ
—m
ı
is
short
for
micrometer.
A
micrometer
is
equal
to
one
million
th
of
a
meter.
W
e
wish
to
test
the
effectiv
eness
of
an
an
tibiotic
in
con
trolling
Legionella
bacteria.
The
an
tibiotic
is
in
tro
duced
in
to
a
con-
tainer
that
con
tains
10
4
legionella
bacteria
at
time
t
=
0
.
The
graphical
represen
tation
b
elo
w
giv
es
the
n
um
b
er
of
bacteria
in
the
con
tainer
as
a
function
of
time.
1
After
3
hours,
appro
ximately
ho
w
man
y
legionella
bacte-
ria
remain
in
the
con
tainer?
2
After
appro
ximately
ho
w
long
do
es
6
000
legionella
bac-
teria
remain
in
the
con
tainer?
E.7983
The
image
b
elo
w
sho
ws
the
p
osition
obtained
when
the
start
blo
c
k
of
a
game
program
is
triggered
:
The
bac
kground
consists
of
dots
spaced
40
units.
In
this
p
osition,
the
cat
has
co
ordinates
(
−
120
;
−
80
)
.
The
ob
ject
of
the
game
is
to
p
osition
the
cat
on
the
ball.
1
What
are
the
co
ordinates
of
the
cen
ter
of
the
ball
sho
wn
in
this
p
osition?
2
In
this
question,
the
cat
is
in
the
p
osition
obtained
when
the
start
blo
c
k
is
triggered.
Here
is
the
script
for
the
ˇ
cat
ı
sprite
that
mo
v
es.
a
Explain
wh
y
the
cat
do
es
not
return
to
its
starting
p
o-
sition
if
the
pla
y
er
presses
the
→
k
ey
and
then
the
←
k
ey
.
b
The
pla
y
er
presses
the
follo
wing
k
ey
sequence
:
→
→
↑
←
↓
What
are
the
x
and
y
co
ordinates
of
the
cat
after
this
mo
v
e?
c
Whic
h
of
the
follo
wing
prop
osed
hit
sequences
allo
ws
the
cat
to
reac
h
the
ball?
Mo
v
e
1
Mo
v
e
2
Mo
v
e
3
→→→→→→→↑↑↑↑↑
→→→↑↑↑→↓←
↑→↑→↑→→↓↓
3
What
happ
ens
when
the
cat
reac
hes
the
ball?
2.
L
o
c
ating
in
str
aight
blo
cks
E.9071
In
space,
consider
the
reference
frame
O
;
I
;
J
;
K
sho
wn
b
elo
w
and
unit
1
ncm
:
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7984
sacados/7984
temps
t
en
h
0
1
2
3
4
5
6
7
8
9
10
Nombre de bactéries
2000
4000
6000
8000
10000
12000
chapExoCorrec/7983
sacados/7983
Chat
quand
est
cliqué
Départ
Quand
πèc
he
gauc
he
est
cliqué
a
jouter
-40
à
x
Quand
πèc
he
droite
est
cliqué
a
jouter
80
à
x
Quand
πèc
he
haut
est
cliqué
a
jouter
80
à
y
Quand
πèc
he
bas
est
cliqué
a
jouter
-40
à
y
Quand
n’imp
orte
quoi
est
cliqué
dire
Je
t’ai
attrap
é
p
endan
t
2
secondes
Départ
Si
Balle
touc
hée
alors
chapExoCorrec/9071
sacados/9071
B
C
D
E
F
G
H
O
I
J
K
x
y
z
B
C
D
E
F
G
H
O
x
y
z
I
J
K
A
B
C
D
E
F
G
H
O
I
J
K
x
y
z
O
x
y
z
S
O
x
y
z
S
W
e
construct
the
righ
t
blo
c
k
O
B
C
D
E
F
GH
on
this
frame
:
side
[
O
B
]
is
p
ositioned
on
the
p
ositiv
e
part
of
the
x-axis
;
side
[
O
D
]
is
p
ositioned
on
the
p
ositiv
e
part
of
the
y-axis
;
side
[
O
E
]
is
p
ositioned
on
the
p
ositiv
e
part
of
the
coast
axis.
1
Giv
e
the
measuremen
ts
of
the
righ
t-hand
pa
ving
stone
O
B
C
D
E
F
GH
.
2
Giv
e
the
co
ordinates
of
the
follo
wing
p
oin
ts
:
D
;
B
;
E
;
G
E.9070
Consider
the
plane
pro
vided
with
a
reference
frame
O
;
I
;
J
;
K
whose
unit
is
the
cen
timeter
and
the
righ
t-handed
pa
ving
stone
O
B
C
D
E
F
GH
sho
wn
b
elo
w
:
Using
this
righ
t
blo
c
k,
construct
a
landmark
of
unit
1
cm
with
origin
the
p
oin
t
O
suc
h
that
:
p
oin
t
B
b
elongs
to
the
x-axis
(
O
x
)
and
its
x-axis
is
p
os-
itiv
e.
p
oin
t
D
b
elongs
to
the
ordinate
axis
(
O
y
)
and
its
ordi-
nate
is
p
ositiv
e.
p
oin
t
E
b
elongs
to
the
rib
axis
(
O
z
)
and
its
rib
is
p
osi-
tiv
e.
In
addition,
w
e
kno
w
the
co
ordinates
of
the
follo
wing
p
oin
ts
:
B
5
;
0
;
0
;
H
0
;
10
;
3
1
Giv
e
the
co
ordinates
of
the
follo
wing
p
oin
ts
:
F
;
C
2
Determine
the
v
olume
of
this
righ
t
blo
c
k.
E.9072
In
space,
consider
the
reference
frame
O
;
I
;
J
;
K
sho
wn
b
elo
w
and
of
unit
1
ncm
:
The
righ
t
blo
c
k
AB
C
D
E
F
GH
has
its
sides
parallel
to
the
axes
of
the
frame
of
reference.
W
e
giv
e
the
co
ordinates
of
some
p
oin
ts
:
A
−
3
;
−
4
;
0
;
F
3
;
−
4
;
2
;
G
3
;
4
;
2
1
a
Giv
e
the
measuremen
t
of
side
[
AB
]
.
b
Giv
e
the
measures
of
the
righ
t-hand
pa
ving
blo
c
k
AB
C
D
E
F
GH
.
2
Determine
the
v
olume
of
the
righ
t
blo
c
k
AB
C
D
E
F
GH
.
3.
Cartesian
lo
c
ation
in
sp
ac
e
E.7985
In
space,
consider
the
orthonormal
Cartesian
co
ordinate
system
b
elo
w
where
cub
es
with
edges
1
are
arranged.
1
Giv
e
the
co
ordinates
of
the
p
oin
t
S
lo
cated
on
a
v
ertical
mast
of
length
1
.
2
Here
is
the
bac
k
view
of
this
assem
bly
:
Ho
w
man
y
cub
es
is
this
assem
bly
comp
osed
of?
h
ttps:/
/c
hingmath.fr
chapExoCorrec/9070
sacados/9070
B
C
D
E
F
G
H
O
x
y
z
I
J
K
chapExoCorrec/9072
sacados/9072
A
B
C
D
E
F
G
H
O
I
J
K
x
y
z
chapExoCorrec/7985
sacados/7985
O
x
y
z
S
O
x
y
z
S
O
x
y
z
A
B
pro∏l
O
x
y
z
A
B
E.7986
In
the
space
pro
vided
with
an
orthonormal
Cartesian
reference
frame
and
of
unit
the
cen-
timeter,
one
considers
the
assem
bly
of
cub
e
b
elo
w
:
Eac
h
of
its
cub
es
has
for
its
sides
length
1
cm
.
1
Giv
e
the
co
ordinates
of
p
oin
ts
A
and
B
.
2
Here
is
the
bac
k
view
of
this
assem
bly
.
Ho
w
man
y
cub
es
is
this
solid
made
of?
3
Dra
w
a
full-size
profile
view
of
this
solid.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7986
sacados/7986
O
x
y
z
A
B
pro∏l
O
x
y
z
A
B
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