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4
3
2
1
Grade 6
/ fractions
70 exercises (including 64 corrected)
a
Mental calculations
(2 exercices)
Decimal fractions
(3 exercices)
Reminders
(1 exercice)
Comparing Fractions with the Same Numerator or Denominator
(6 exercices)
Other comparisons
(2 exercices)
Framing a fraction by two consecutive integers
(3 exercices)
Fraction\/Division - Definition
(4 exercices)
Using the Definition
(8 exercices)
Introduction to Fractions as Multiplicative Operators
(2 exercices)
Multiplicative operator
(14 exercices)
Multiplicative operator: take a fraction of
(9 exercices)
Multiplicative Operator: Problems
(15 exercices)
Problem: returning to the whole
(1 exercice)
image PNG : /home/_math/_exercice/d1/1655/metapost/05_2.png
7
4
2
;
25
14
5
1
;
75
3
5
2
;
8
9
4
0
;
6
ChingQuizz
:
2
exercises
a
v
ailable
for
Quizz
assessmen
t
:
1.
Mental
c
alculations
E.4001
By
men
tal
calculation,
p
erform
the
follo
wing
op
erations
:
a
27
÷
3
=
:
:
:
b
34
÷
:
:
:
=
17
c
35
÷
:
:
:
=
5
d
:
:
:
÷
6
=
4
e
81
÷
9
=
:
:
:
f
66
÷
:
:
:
=
22
E.9976
By
men
tal
calculation,
p
erform
the
follo
wing
op
erations
:
a
:
:
:
÷
4
=
29
b
45
÷
3
=
:
:
:
c
125
÷
5
=
:
:
:
d
:
:
:
÷
6
=
15
e
168
÷
:
:
:
=
8
f
145
÷
5
=
:
:
:
2.
De
cimal
fr
actions
E.1629
W
rite
the
follo
wing
n
um
b
ers
in
dec-
imal
form
:
a
3
4
b
35
;
1
100
c
5
2
d
4
5
E.10516
Complete
the
expressions
with
the
appropriate
sym
b
ol
:
=
or
≈
a
2
3
:
:
:
0
;
666
b
15
7
:
:
:
2
;
143
c
7
4
:
:
:
1
;
75
d
14
25
:
:
:
0
;
56
e
17
10
:
:
:
1
;
7
f
17
8
:
:
:
2
;
125
E.11073
Using
men
tal
arithmetic,
matc
h
eac
h
fraction
to
its
decimal
equiv
alen
t
:
3.
R
eminders
E.11803
L’exercice
n’existe
pas.
4.
Comp
aring
F
r
actions
with
the
Same
Numer
ator
or
Denominator
E.1319
Notation
:
<
strictly
less
than
less
than
or
equal
to
>
strictly
greater
than
greater
than
or
equal
to
1
a
T
w
o
iden
tical
cak
es
A
and
B
are
divided
equally
:
cak
e
A
is
divided
in
to
5
slices
and
cak
e
B
is
divided
in
to
7
slices.
Whic
h
cak
e
has
the
largest
slices?
b
Compare
the
fractions
using
the
sym
b
ols
<
or
>
:
1
5
:
:
:
1
7
2
a
There
are
t
w
o
bags
of
candy
,
A
and
B
.
Bag
A
con
tains
40
red
candies,
and
bag
B
con
tains
60
blue
candies.
The
t
w
o
bags
are
divided
equally
among
5
p
eople.
Whic
h
color
is
most
represen
ted
in
eac
h
share?
b
Compare
the
fractions
using
the
sym
b
ols
<
or
>
:
40
5
:
:
:
60
5
E.310
1
During
an
end-of-y
ear
tea
part
y
,
t
w
o
studen
ts
find
them-
selv
es
in
c
harge
of
cutting
cak
es.
Studen
t
A
cuts
the
cak
es
in
to
4
equal
parts,
while
stu-
den
t
B
cuts
them
in
to
6
equal
parts.
Once
the
job
is
done
eac
h
tak
es
t
w
o
slices
of
their
cak
es
and
go
es
to
eat
them
in
their
corners.
Whic
h
of
the
t
w
o
studen
ts
pilfered
the
most
cak
es?
2
An
inheritance
is
cut
in
to
ten
equal
shares.
Heir
X
gets
four
shares,
while
Mr
Y
got
3
shares.
Express
the
inheritances
receiv
ed
b
y
eac
h
using
a
frac-
tion.
Who
receiv
ed
the
largest
share
of
the
inheritance?
h
ttps:/
/c
hingmath.fr
chapExoCorrec/4001
sacados/4001
chapExoCorrec/9976
sacados/9976
chapExoCorrec/1629
sacados/1629
chapExoCorrec/10516
sacados/10516
chapExoCorrec/11073
sacados/11073
7
4
2
;
25
14
5
1
;
75
3
5
2
;
8
9
4
0
;
6
sacados/11803
chapExoCorrec/1319
sacados/1319
chapExoCorrec/310
sacados/310
0
1
2
3
4
5
a
0
1
2
3
4
5
b
0
1
2
3
4
5
c
0
1
2
3
4
5
d
0
1
2
3
4
5
e
E.7883
Using
the
sym
b
ols
<
,
>
and
=
,
com-
pare
the
fractions
b
elo
w
:
a
7
3
:
:
:
4
3
b
12
4
:
:
:
15
4
c
3
7
:
:
:
5
7
E.10483
Using
the
sym
b
ols
<
,
>
and
=
,
compare
the
fractions
b
elo
w
:
a
12
12
:
:
:
1
b
3
10
:
:
:
7
10
c
7
15
:
:
:
5
15
E.11056
Using
the
sym
b
ols
<
,
>
,
and
=
,
compare
the
fractions
b
elo
w
:
a
7
4
:
:
:
5
4
b
13
7
:
:
:
2
c
14
4
:
:
:
3
E.11799
Comparer
les
fractions
et
les
nom
bres
mixtes
:
a
5
3
:
:
:
1+
4
3
b
4+
3
5
:
:
:
27
5
c
2+
3
4
:
:
:
9
4
d
20
7
:
:
:
2+
3
7
5.
Other
c
omp
arisons
E.11801
Comparer
les
fractions
:
a
4
7
:
:
:
9
5
b
1
12
:
:
:
21
11
E.11802
Comparer
les
fractions
:
a
3
7
:
:
:
1
2
b
13
15
:
:
:
1
2
6.
F
r
aming
a
fr
action
by
two
c
onse
cutive
inte
gers
E.11054
Fill
in
the
appropriate
sym
b
ol
(
<
,
=
,
>
)
the
dotted
lines
:
a
3
:
:
:
19
7
b
45
8
:
:
:
6
c
11
7
:
:
:
4
2
E.7879
Cop
y
and
complete
the
blanks
to
obtain
a
frame
of
eac
h
of
the
prop
osed
fractions
b
y
t
w
o
con-
secutiv
e
in
tegers
:
a
:
:
:
<
16
3
<
:
:
:
b
:
:
:
<
27
8
<
:
:
:
c
:
:
:
<
39
7
<
:
:
:
d
:
:
:
<
64
5
<
:
:
:
E.11055
Complete
to
obtain
the
fraction’s
unit
frame
:
a
:
:
:
<
48
5
<
:
:
:
b
:
:
:
<
37
4
<
:
:
:
c
:
:
:
<
73
9
<
:
:
:
7.
F
r
action
Division
-
Definition
E.1630
Consider
the
graduated
lines
b
elo
w
:
Complete
eac
h
of
the
follo
wing
problems
on
eac
h
of
the
grad-
uated
lines
ab
o
v
e
:
1
F
or
eac
h
graduated
line,
place
p
oin
t
A
at
the
giv
en
x-
co
ordinate
:
a
A
2
3
b
A
3
2
c
A
2
5
d
A
5
4
e
A
27
10
2
Using
a
compass,
transfer
the
lengths
sho
wn
on
eac
h
graduated
line
to
find
the
p
oin
t
B
that
satisfies
the
fol-
lo
wing
relationships
:
a
B
3
×
2
3
b
B
2
×
3
2
c
B
5
×
2
5
d
B
4
×
5
4
3
Find
the
x-co
ordinates
of
the
v
arious
p
oin
ts
B
plotted
in
the
previous
question.
W
ere
these
results
predictable?
4
On
the
graduated
line
e
,
,
consider
the
p
oin
t
C
that
satisfies
the
relationship
:
AC
=
10
×
27
10
Find
the
x-co
ordinate
of
p
oin
t
C
.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7883
sacados/7883
chapExoCorrec/10483
sacados/10483
chapExoCorrec/11056
sacados/11056
sacados/11799
sacados/11801
sacados/11802
chapExoCorrec/11054
sacados/11054
chapExoCorrec/7879
sacados/7879
chapExoCorrec/11055
sacados/11055
chapExoCorrec/1630
sacados/1630
0
1
2
3
4
5
a
0
1
2
3
4
5
b
0
1
2
3
4
5
c
0
1
2
3
4
5
d
0
1
2
3
4
5
e
0
5
A
B
0
1
2
3
4
5
A
B
E.2489
1
Color
the
3
5
of
eac
h
disc
in
the
line
b
elo
w
:
2
a
Ho
w
man
y
shares
w
ere
colored
in
the
previous
line?
b
With
these
shares
ho
w
man
y
discs
can
b
e
colored
com-
pletely
on
the
line
b
elo
w?
E.2496
1
Color
the
3
8
of
eac
h
righ
t
blo
c
k
dra
wn
b
elo
w
:
2
Using
exactly
the
same
n
um
b
er
of
shaded
parts
as
in
the
previous
question,
ho
w
man
y
righ
t
pa
v
ers
can
b
e
com-
pletely
colored
:
E.6701
Consider
the
[
AB
]
segmen
t
sho
wn
b
elo
w
measuring
5
.
1
Place
the
p
oin
t
M
on
the
segmen
t
[
AB
]
so
that
the
length
of
the
segmen
t
[
AM
]
is
one-third
of
the
segmen
t
[
AB
]
.
2
a
What
fraction
represen
ts
the
abscissa
of
the
p
oin
t
M
on
the
scaled
line
b
elo
w?
b
Using
the
previous
questions,
giv
e
the
v
alue
of
:
3
×
5
3
8.
Using
the
Definition
E.11796
Définition
:
la
fraction
a
b
est
le
nom
bre
v
érifian
t
la
relation
:
b
×
a
b
=
a
Donner
la
v
aleur
de
c
hacun
de
ces
calculs
:
a
4
×
5
4
b
7
×
1
7
c
6
×
5
6
E.11797
Recopier
et
compléter
les
égalités
suiv-
an
tes
:
a
:
:
:
×
3
4
=
3
b
:
:
:
×
7
5
=
7
c
:
:
:
×
1
3
=
1
E.10158
By
definition,
the
fraction
a
b
is
the
n
um
b
er
v
erifying
the
relationship
:
b
×
a
b
=
a
Using
this
definition,
cop
y
and
complete
the
follo
wing
equal-
ities
:
a
3
×
:
:
:
:
:
:
=
1
b
2
×
:
:
:
:
:
:
=
5
c
5
×
:
:
:
:
:
:
=
3
E.2119
1
P
ose
and
giv
e
the
v
alues
of
m
ultiplications
:
a
3
×
0.333
b
3
×
0.333333
c
3
×
0.333334
2
Can
w
e
find
a
decimal
n
um
b
er
x
v
erifying
:
3
×
x
=
1
E.2502
1
P
erform
the
follo
wing
t
w
o
calculations
:
9
×
7
9
;
9
×
0.7777
2
Using
the
definition
of
quotien
t,
justify
that
the
follo
w-
ing
t
w
o
n
um
b
ers
are
differen
t
:
7
9
;
0.7777
E.2501
1
Answ
er
the
follo
wing
questions
b
y
giving
the
corresp
ond-
ing
n
um
b
er
in
fractional
writing
:
a
What
is
the
n
um
b
er
that,
m
ultiplied
b
y
2,
giv
es
3?
b
What
is
the
n
um
b
er
that,
m
ultiplied
b
y
5,
is
4?
c
What
is
the
n
um
b
er
that,
m
ultiplied
b
y
6,
is
3?
d
What
is
the
n
um
b
er
that,
m
ultiplied
b
y
7,
is
1?
2
Whic
h
of
the
n
um
b
ers
obtained
in
question
1
can
b
e
written
as
a
decimal?
h
ttps:/
/c
hingmath.fr
chapExoCorrec/2489
sacados/2489
chapExoCorrec/2496
sacados/2496
chapExoCorrec/6701
sacados/6701
0
5
A
B
0
1
2
3
4
5
A
B
sacados/11796
sacados/11797
chapExoCorrec/10158
sacados/10158
chapExoCorrec/2119
sacados/2119
chapExoCorrec/2502
sacados/2502
chapExoCorrec/2501
sacados/2501
0
1
2
3
0
1
2
3
E.11798
Effectuer
les
op
érations
suiv
an
tes
de
tête
:
a
3
×
4
3
b
5
×
7
5
c
132
×
7
132
E.9980
Using
the
definition
of
a
quotien
t,
tell
whether
the
follo
wing
equalities
are
true
or
false
:
a
18
4
=
4.5
b
1
3
=
0.333
c
5
4
=
1.25
d
21
6
=
3.5
e
25
12
=
2.08
f
7
8
=
0.875
9.
Intr
o
duction
to
F
r
actions
as
Multiplic
ative
Op
er
ators
E.6700
1
Whic
h
fraction
of
the
scaled
line
b
elo
w
is
hatc
hed?
2
a
Hash
a
p
ortion
of
the
scaled
line
three
times
larger
than
in
question
1
.
b
Complete
the
blanks
:
3
×
5
8
=
:
:
:
:
:
:
E.6698
F
or
Charlie’s
birthda
y
,
six
cak
es
are
placed
on
the
table.
All
the
cak
es
are
iden
tical
and
eac
h
has
b
een
cut
in
to
fiv
e
equal
pieces
:
1
Moula
y
e
ate
the
3
5
of
a
cak
e.
Color
the
part
Moula
y
e
ate
:
2
a
Lucia
ate
four
times
as
m
uc
h
cak
e
as
Moula
y
e.
Color
the
slices
Lucia
ate
:
b
Ho
w
man
y
slices
did
she
eat?
What
fraction
represen
ts
the
amoun
t
of
cak
e
Lucia
ate?
10.
Multiplic
ative
op
er
ator
E.2538
1
P
erform
the
follo
wing
three
calculations
b
y
putting
them
do
wn
:
a
3
×
(5
÷
4)
b
(3
×
5)
÷
4
c
(3
÷
4)
×
5
2
What
can
y
ou
sa
y
ab
out
the
three
op
erations
b
elo
w?
3
×
5
4
;
3
×
5
4
;
3
4
×
5
E.2539
F
or
eac
h
question,
the
three
pro-
p
osed
op
erations
ha
v
e
the
same
v
alue.
F
or
eac
h
question,
whic
h
one
do
y
ou
find
easiest
to
calculate?
1
a
6
×
5
3
b
6
×
5
3
c
6
3
×
5
2
a
56
7
×
3
b
56
×
3
7
c
56
×
3
7
3
a
3
18
×
12
b
3
×
12
18
c
3
×
12
18
E.1639
P
erform
the
calculations
b
elo
w,
lea
v-
ing
y
our
calculation
steps
:
a
56
8
×
3
b
9
81
×
9
c
16
×
7
4
E.1638
P
erform
the
calculations
b
elo
w,
lea
v-
ing
y
our
calculation
steps
:
a
12
4
×
12
b
13
52
×
4
c
28
×
8
7
E.1637
P
erform
the
calculations
b
elo
w,
lea
v-
ing
y
our
calculation
steps
:
a
18
3
×
7
b
6
×
3
36
c
56
×
5
8
E.1636
P
erform
the
calculations
b
elo
w,
lea
v-
ing
y
our
calculation
steps
:
a
14
×
5
7
b
48
×
3
8
c
10
×
3.6
6
E.10156
P
erform
the
follo
wing
op
erations
:
A
3
×
4
3
b
5
×
7
5
c
132
×
7
132
d
8
×
3
4
e
250
×
2
10
f
14
×
2
1.4
E.10090
P
erform
the
calculations
b
elo
w,
lea
ving
y
our
calculation
steps
:
a
8
×
3
4
b
7
21
×
3
c
1.25
5
×
4
E.10091
P
erform
the
calculations
b
elo
w,
lea
ving
y
our
calculation
steps
:
a
2
×
12
3
b
40
×
20
100
c
3
×
15
9
E.6699
W
rite
the
fractions
corresp
onding
to
the
follo
wing
calculations
:
a
4
×
3
5
b
5
×
2
3
c
6
×
1
5
h
ttps:/
/c
hingmath.fr
chapExoCorrec/11798
sacados/11798
chapExoCorrec/9980
sacados/9980
chapExoCorrec/6700
sacados/6700
0
1
2
3
0
1
2
3
chapExoCorrec/6698
sacados/6698
chapExoCorrec/2538
sacados/2538
chapExoCorrec/2539
sacados/2539
chapExoCorrec/1639
sacados/1639
chapExoCorrec/1638
sacados/1638
chapExoCorrec/1637
sacados/1637
chapExoCorrec/1636
sacados/1636
chapExoCorrec/10156
sacados/10156
chapExoCorrec/10090
sacados/10090
chapExoCorrec/10091
sacados/10091
chapExoCorrec/6699
sacados/6699
E.10157
F
or
eac
h
question,
find
the
in
teger
v
erifying
the
equalit
y
:
a
:
:
:
×
1
3
=
1
b
:
:
:
×
3
7
=
3
c
:
:
:
×
4
5
=
8
E.1640
Fill
in
the
blanks
with
the
appropri-
ate
fraction
simplified
:
a
12
×
=
3
b
25
×
=
15
c
9
×
=
21
d
3
×
=
7
e
10
×
=
4
f
22
×
=
55
E.7896
Cop
y
and
complete,
if
p
ossible,
the
blanks
in
the
equals
b
elo
w
with
the
appropriate
fraction
:
a
5
×
:
:
:
=
10
b
4
×
:
:
:
=
10
c
5
×
:
:
:
=
1
d
8
×
:
:
:
=
10
e
20
×
:
:
:
=
5
f
3
×
:
:
:
=
1
E.2504
Cop
y
the
equalities,
completing
them
with
the
missing
n
um
b
er
in
fractional
writing
:
a
5
×
=
2
b
4
×
=
3
c
3
×
=
4
d
33
×
=
22
e
7
×
=
3
f
14
×
=
7
11.
Multiplic
ative
op
er
ator
:
take
a
fr
action
of
E.2529
By
men
tal
calculation,
determine
the
v
alue
of
eac
h
of
the
shares
b
elo
w
:
a
The
third
of
69
b
Half
of
162
c
A
quarter
of
240
d
The
sev
en
th
of
210
E.5601
Determine
the
v
alue
of
the
shares
requested
:
a
The
third
of
120
e
b
Half
of
42
min
c
A
quarter
of
100
k
g
d
The
fifth
of
60
e
E.9979
Using
a
men
tal
calculation,
giv
e
the
v
alue
of
eac
h
of
the
follo
wing
shares
:
a
Les
trois
dixièmes
de
130
b
Les
quatre
h
uitièmes
de
160
c
Les
three
quarters
of
120
d
The
eigh
t-fifths
of
35
E.2580
Using
a
men
tal
calculation,
giv
e
the
v
alue
of
eac
h
of
the
follo
wing
shares
:
a
Les
three
fifths
of
100
b
T
w
o-thirds
of
150
E.2914
Giv
e
the
v
alue
of
eac
h
of
the
shares
b
elo
w
:
1
T
w
o-thirds
of
63
studen
ts.
2
The
fiv
e
halv
es
of
bags
con
taining
24
sw
eets.
3
Three-fifths
of
a
kilogram
of
flour.
4
Three-quarters
of
a
140-seat
hall.
E.5603
By
men
tal
calculation,
determine
the
v
alue
of
eac
h
of
the
shares
considered
:
a
The
three
sev
en
ths
of
21
e
.
b
The
four
eigh
teen
th
of
9
k
g
.
c
The
four
sixths
of
15
min
.
E.1625
1
Calculate
the
2
5
of
360
2
Dra
w
a
disk
of
radius
4
cm
Then
hatc
h
the
2
5
of
this
disk.
E.4010
W
riting
do
wn
y
our
calculations,
de-
termine
the
n
um
b
er
of
min
utes
in
eac
h
of
the
follo
wing
dura-
tions
:
a
a
half
hour
b
one
third
of
an
hour
c
three
fifths
of
an
hour
d
fiv
e
quarters
of
an
hour
e
t
w
elv
e
t
w
en
tieths
of
an
hour
f
une
journée
E.5602
T
ranslate
eac
h
of
the
questions
b
e-
lo
w
b
y
a
m
ultiplication
of
decimal
n
um
b
ers,
then
giv
e
the
v
alue
of
the
share
considered
:
a
Half
of
14
min.
b
Three-quarters
of
63
k
g
.
c
T
w
o-fifths
of
34
e
.
d
The
sev
en-ten
ths
of
51
e
.
12.
Multiplic
ative
Op
er
ator
:
Pr
oblems
E.1655
Lo
ca-Cola
con
tains
10%
of
sugar
:
i.e.
the
10
100
of
a
can
of
Cok
e
is
just
sugar.
1
On
the
rectangle
opp
osite,
dra
w
the
part
o
ccupied
b
y
the
sugar
2
A
can
is
filled
with
330
grams
of
liquid.
Calculate
the
w
eigh
t
of
sugar
con
tained
in
a
can?
h
ttps:/
/c
hingmath.fr
chapExoCorrec/10157
sacados/10157
chapExoCorrec/1640
sacados/1640
chapExoCorrec/7896
sacados/7896
chapExoCorrec/2504
sacados/2504
chapExoCorrec/2529
sacados/2529
chapExoCorrec/5601
sacados/5601
chapExoCorrec/9979
sacados/9979
chapExoCorrec/2580
sacados/2580
chapExoCorrec/2914
sacados/2914
chapExoCorrec/5603
sacados/5603
chapExoCorrec/1625
sacados/1625
Attention, cet exercice fait intervenir les angles lors de la construction
chapExoCorrec/4010
sacados/4010
chapExoCorrec/5602
sacados/5602
chapExoCorrec/1655
sacados/1655
E.1650
During
a
desert
crossing,
a
dromedary
loses
3
10
of
its
mass,
mainly
in
the
form
of
w
a-
ter
reserv
es
that
it
uses.
A
t
the
start
of
the
crossing,
a
dromedary
w
eighed
700
k
g
.
What
will
its
w
eigh
t
b
e
up
on
arriv
al?
E.1653
A
basin
can
hold
up
to
4
800
liters
:
1
Ho
w
man
y
liters
do
es
this
basin
hold
when
it
is
t
w
o-thirds
full?
2
Same
question
when
it’s
three-quarters
full?
E.11580
In
Y
osemite
National
P
ark
in
Cal-
ifornia,
Arth
ur
sets
off
on
the
"F
alls
T
rail"
,
whic
h
is
12
k
m
miles
long.
After
an
hour,
he
giv
es
up,
ha
ving
co
v
ered
2
=
3
of
the
trail.
Ho
w
far
has
he
w
alk
ed?
E.1651
In
a
middle
sc
ho
ol,
the
4
5
of
the
360
studen
ts
tak
e
part
in
a
raffle
and
buy
their
tic
k
ets
at
2
e
.
Ho
w
m
uc
h
did
the
organizers
raise?
E.10097
A
t
Goldsmiths,
the
ˇ
24-k
arat
gold
ı
represen
ts
pure
gold
while
the
ı
18-k
arat
gold
ı
is
a
mixture
con
taining
only
18
24
pure
gold.
1
Simplify
to
the
maxim
um
fraction
18
24
.
What
fraction
of
pure
gold
con
tains
an
allo
y
ˇ
in
18-k
arat
gold
ı.
2
Calculate
the
amoun
t
of
pure
gold
con
tained
in
a
piece
of
ˇ
18
carats
ı
gold
jew
elry
w
eighing
100
grams?
E.1654
The
surface
area
of
the
glob
e
is
510
101
000
k
m
2
.
W
e
kno
w
that
seas
and
o
ceans
co
v
er
7
10
the
glob
e
:
1
What
is
the
area
co
v
ered
b
y
seas
and
o
ceans?
2
What
is
the
surface
area
of
land?
E.11581
Three
brothers
and
a
sister
buy
a
piece
of
farmland
measuring
1410
m
2
.
They
divide
the
land
among
themselv
es
according
to
eac
h
p
erson’s
financial
con
tri-
bution
:
P
ascal
gets
2
5
of
the
land,
Aline
k
eeps
2
3
and
the
rest
of
the
land
go
es
to
Clemen
t.
Determine
the
area
of
Clemen
t’s
land.
E.1652
P
erform
the
follo
wing
plot
program
:
a
Dra
w
a
segmen
t
[
AB
]
of
length
75
mm
.
b
Place
the
p
oin
t
C
b
elonging
to
segmen
t
[
AB
]
suc
h
that
[
AC
]
measures
the
2
3
of
segmen
t
[
AB
]
.
c
Place
the
p
oin
t
D
∈
[
AB
]
suc
h
that
:
B
D
=
3
5
×
AB
.
E.4011
A
surv
ey
of
96
sixth
graders
in
a
mid-
dle
sc
ho
ol
ab
out
their
sp
orts
participation
w
as
conducted
:
4
12
of
studen
ts
pla
y
a
sp
ort
w
eekly
;
1
6
of
studen
ts
pla
y
more
than
one
sp
ort
p
er
w
eek
;
Determine
the
n
um
b
er
of
studen
ts
:
1
pla
ying
one
sp
ort
p
er
w
eek
;
2
pla
ying
more
than
one
sp
ort
p
er
w
eek
;
3
pla
ying
no
sp
orts
p
er
w
eek.
E.2583
Jacques,
A
deline
and
F
rançois
are
taking
part
in
a
rela
y
;
eac
h
of
them
will
complete
part
of
the
race.
The
course
has
a
distance
of
5.6
k
m
.
Jacques
co
v
ers
t
w
o-sev
en
ths
of
the
en
tire
race
;
F
rançois
completes
half
of
the
en
tire
race
;
As
A
deline
finishes
the
race,
she
completes
the
remaining
course.
1
Determine
the
distance
tra
v
eled
b
y
eac
h.
2
a
Ho
w
far
ha
v
e
the
t
w
o
b
o
ys
tra
v
eled?
b
What
fraction
do
es
this
distance
represen
t
of
the
en
tire
race?
Giv
e
this
fraction
in
simplified
form.
E.1363
1
A
jew
eler
w
an
ts
to
mak
e
a
132
g
piece
of
rose
gold
jew
elry
that
is
comp
osed
of
3
4
pure
gold,
1
6
copp
er
and
1
12
pure
silv
er.
Giv
e
the
w
eigh
t
of
eac
h
of
the
materials
used
to
mak
e
up
this
jew
el.
2
Jean
op
ens
a
new
150
gram
b
o
x
of
pâté
de
campagne
and
eats
a
quarter
of
it.
Then
Elizab
eth
eats
a
third
of
what’s
left.
Ho
w
m
uc
h
did
eac
h
of
these
p
eople
eat?
E.1628
1
a
Dra
w
t
w
o
rectangles
eac
h
ha
ving
6
cm
in
length
and
3
cm
in
width.
b
Divide
these
rectangles
in
to
5
equal
parts
:
the
first
one
b
y
sharing
its
width
;
the
second
rectangle
b
y
sharing
its
length.
c
Color
for
eac
h
of
them
the
2
5
of
its
surface.
2
This
rectangle
represen
ts
a
100-gram
c
ho
colate
bar.
What
is
the
w
eigh
t
of
the
2
5
of
this
bar?
h
ttps:/
/c
hingmath.fr
chapExoCorrec/1650
sacados/1650
chapExoCorrec/1653
sacados/1653
chapExoCorrec/11580
sacados/11580
chapExoCorrec/1651
sacados/1651
chapExoCorrec/10097
sacados/10097
chapExoCorrec/1654
sacados/1654
chapExoCorrec/11581
sacados/11581
chapExoCorrec/1652
sacados/1652
chapExoCorrec/4011
sacados/4011
chapExoCorrec/2583
sacados/2583
chapExoCorrec/1363
sacados/1363
chapExoCorrec/1628
sacados/1628
1
0
Urne A
Urne B
120
kg
E.5716
During
a
journey
,
a
motorist
es-
timates
his
consumption
at
t
w
o-
sev
en
ths
of
his
tank.
His
tank
capacit
y
is
59
‘
.
1
Whic
h
of
the
expressions
b
elo
w
giv
es
the
consumption
during
this
journey?
a
52
2
b
118
7
c
57
7
d
59
14
2
P
osing
y
our
op
eration,
giv
e
the
excess
v
alue
of
consump-
tion
to
the
nearest
deciliter.
E.10518
W
e
ha
v
e
the
t
w
o
urns
b
elo
w
:
W
e
will
justify
eac
h
of
our
answ
ers.
1
Whic
h
b
o
x
con
tains
3
=
4
of
these
balls
that
ha
v
e
an
o
dd
n
um
b
er?
2
Whic
h
b
o
x
con
tains
1
=
3
of
these
balls
that
are
strip
ed?
13.
Pr
oblem
:
r
eturning
to
the
whole
E.11579
A
farmer
sells
t
w
o-fifths
of
his
p
otato
harv
est
to
the
co
op
erativ
e
cellar.
This
represen
ts
120
k
g
p
otato
es.
What
w
as
the
total
w
eigh
t
of
his
harv
est?
Note
:
W
e
can
use
the
diagram
to
help
us
:
h
ttps:/
/c
hingmath.fr
chapExoCorrec/5716
sacados/5716
1
0
chapExoCorrec/10518
sacados/10518
Urne A
Urne B
chapExoCorrec/11579
sacados/11579
120
kg
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