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Math Problems
Grade 6
Find what percent one number is of another
At a water park,
18
18
18
out of
72
72
72
tickets sold were child tickets. What percentage of the tickets were child tickets?
\newline
Write your answer using a percent sign (
%
\%
%
).
\newline
_____
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In order to select new board members, the French club held an election.
21
21
21
out of the
28
28
28
members of the French club voted in the election. What percentage of the members voted?
\newline
Write your answer using a percent sign (
%
\%
%
).
\newline
_____
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A biology class examined some flowers in a local meadow. Out of the
68
68
68
flowers they saw,
17
17
17
were perennials. What percentage of the flowers were perennials?
\newline
Write your answer using a percent sign (
%
\%
%
).
\newline
_____
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Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made
56
56
56
sandwiches in all,
14
14
14
of which were turkey. What percentage of the sandwiches were turkey sandwiches?
\newline
Write your answer using a percent sign (
%
\%
%
).
\newline
_____
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There are blue counters and black counters in a bag in the ratio
5
:
1
5: 1
5
:
1
\newline
34
34
34
blue counters are removed and the ratio becomes
3
:
4
3: 4
3
:
4
\newline
Work out how many black counters there are in the bag.
\newline
black counters
\newline
Submit Answer
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3
3
3
is what percent of
12
12
12
?
\newline
Write your answer using a percent sign (%).
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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Fill in the missing number.
\newline
_
_
_
_
_
%
\_\_\_\_\_\%
_____%
of
80
80
80
=
80
80
80
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Fill in the missing number.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
of
18
18
18
=
18
18
18
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15
15
15
is what percent of
20
20
20
?
\newline
Write your answer using a percent sign (%).
\newline
_____
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23
23
23
is what percent of
92
92
92
?
\newline
Write your answer using a percent sign (%).
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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Fill in the missing number.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
of
90
90
90
=
90
90
90
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Fill in the missing number.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
of
36
36
36
=
18
18
18
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A biology class examined some flowers in a local meadow. Out of the
54
54
54
flowers they saw,
54
54
54
were perennials. What percentage of the flowers were perennials?
\newline
Write your answer using a percent sign (%).
\newline
_____
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At an amusement park,
42
42
42
out of
84
84
84
tickets sold were discount tickets. What percentage of the tickets were discount tickets?
\newline
Write your answer using a percent sign (%).
\newline
_____
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Tori's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served
25
25
25
teas in all,
10
10
10
of which were caffeinated. What percentage of the teas were caffeinated?
\newline
Write your answer using a percent sign (%).
\newline
_
_
_
_
\_\_\_\_
____
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Avery's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served
15
15
15
teas in all,
6
6
6
of which were caffeinated. What percentage of the teas were caffeinated?
\newline
Write your answer using a percent sign (%).
\newline
_
_
_
\_\_\_
___
%
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36
36
36
out of the
48
48
48
people in a company meeting were managers. What percentage of the meeting attendees were managers?
\newline
Write your answer using a percent sign (%).
\newline
_____
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An estimated
3
3
3
out of every
25
25
25
men are left-handed. What percent of men are left-handed?
\newline
(Ignore the
%
\%
%
symbol when entering your answer. For example, if the answer is
11
%
11\%
11%
, enter
11
11
11
.)
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In our solar system,
6
6
6
of the
8
8
8
planets have moons. What percent of the planets have moons?
\newline
(Ignore the
%
\%
%
symbol when entering your answer. For example, if the answer is
\newline
11
%
11\%
11%
, enter
11
11
11
.)
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Two thirds of a number is
−
26
-26
−
26
write and solve an equation to find the number
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The square below represents one whole.
\newline
What percent is represented by the shaded area?
\newline
□
\square
□
\newline
\%
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Each large square below represents one whole.
\newline
What percent is represented by the shaded area?
\newline
□
\square
□
%
\%
%
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Each square below represents one whole.
\newline
What percent is represented by the shaded area?
\newline
□
\square
□
\newline
%
\%
%
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The number
60
60
60
is
75
%
75 \%
75%
of what number?
\newline
A
45
45
45
\newline
B
80
80
80
\newline
C
120
120
120
\newline
D
125
125
125
\newline
The table below shows the ratio of the numb school. The ratio of teachers to students is co table.
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An estimated
3
3
3
out of every
25
25
25
men are left-handed. What percent of men are left-handed?
\newline
(Ignore the
%
\%
%
symbol when entering your answer. For example, if the answer is
11
%
11 \%
11%
, enter
11
11
11
.)
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Sergio has
p
p
p
paintings in his art collection. He and other local painting collectors agreed to donate a total of
48
48
48
paintings to the local museum. Each of the
12
12
12
collectors will donate the same number of paintings.
\newline
How many paintings will Sergio have in his art collection after his donation?
\newline
Write your answer as an expression.
\newline
□
\square
□
paintings
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Rama builds a frame for a square canvas that has an area of
196
196
196
square inches. What is the perimeter of the canvas?
\newline
Type a number in the box.
\newline
inches
\newline
Progress
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hat was the diver's elevation after
\newline
The temperatures in five cities were
3
∘
F
,
−
5
∘
F
,
7
∘
F
,
−
9
∘
F
3^{\circ} \mathrm{F},-5^{\circ} \mathrm{F}, 7^{\circ} \mathrm{F},-9^{\circ} \mathrm{F}
3
∘
F
,
−
5
∘
F
,
7
∘
F
,
−
9
∘
F
, and
−
1
3
∘
F
-13^{\circ} \mathrm{F}
−
1
3
∘
F
. What was the mean temperature of the five cities? (Write your answer as a decimal).
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There are
78
78
78
animals in a zoo.
59
59
59
of them are lions.
\newline
Write this proportion as a percentage. Give your answer correct to
1
1
1
decimal place when appropriate.
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A blood bank needs
12
12
12
people to help with a blood drive.
19
19
19
people have volunteered. Find how many different groups of
12
12
12
can be formed from the
19
19
19
volunteers.
\newline
Answer:
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Layla and Nathan each sent out college recruitment e-mails to different prospective students. Students followed a link to get more information from
22
%
22 \%
22%
of Layla's
400
400
400
e-mails and from
60
60
60
out of
350
350
350
of Nathan's e-mails. To the nearest percent, what percent of the total students clicked on the link from the e-mails?
\newline
(Ignore the
%
\%
%
symbol when entering your answer. For example, if the answer is
12
%
12\%
12%
, enter
12
12
12
.)
\newline
□
\square
□
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2
2
2
. Math
\newline
Question
4
4
4
\newline
Percentages:
\newline
A zoo has
15
15
15
emperor penguins that make up
30
%
30 \%
30%
of the total penguins at the zoo. How many penguins live at the zoo?
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Question
\newline
Solve the equation for all real solutions in simplest form.
\newline
3
z
2
−
z
+
5
=
6
3 z^{2}-z+5=6
3
z
2
−
z
+
5
=
6
\newline
Answer Attempt
1
1
1
out of
2
2
2
\newline
Additional Solution
\newline
No Solution
\newline
z
=
z=
z
=
\newline
Submit Answer
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If
4
4
4
is
d
%
d\%
d
%
of
8
8
8
, what is the value of
d
d
d
?
\newline
(Ignore the
%
\%
%
symbol when entering your answer. For example, if the answer is
12.4
%
12.4\%
12.4%
, enter
12.4
12.4
12.4
.)
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If
24
%
24 \%
24%
of a number is
18
18
18
, find
8
%
8 \%
8%
of that number.
\newline
Answer:
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If
8
%
8 \%
8%
of a number equals
6
6
6
, find
32
%
32 \%
32%
of that number.
\newline
Answer:
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If
8
%
8 \%
8%
of a number equals
5
5
5
, find
40
%
40 \%
40%
of that number.
\newline
Answer:
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Find the following percentages of
200
200
200
.
\newline
Find
10
%
10 \%
10%
of
200
200
200
:
\newline
Find
90
%
90 \%
90%
of
200
200
200
:
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If
24
%
24 \%
24%
of a number is
100
100
100
, find
6
%
6 \%
6%
of that number.
\newline
Answer:
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If
10
%
10 \%
10%
of a number equals
20
20
20
, find
20
%
20 \%
20%
of that number.
\newline
Answer:
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If
12
%
12 \%
12%
of a number is
40
40
40
, find
6
%
6 \%
6%
of that number.
\newline
Answer:
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If
60
%
60 \%
60%
of a number is
30
30
30
, find
10
%
10 \%
10%
of that number.
\newline
Answer:
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Find the following percentages of
35
35
35
.
\newline
Find
20
%
20 \%
20%
of
35
35
35
:
\newline
Find
60
%
60 \%
60%
of
35
35
35
:
Get tutor help
Find the following percentages of
180
180
180
.
\newline
Find
10
%
10 \%
10%
of
180
180
180
:
\newline
Find
30
%
30 \%
30%
of
180
180
180
:
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Find the following percentages of
190
190
190
.
\newline
Find
10
10
10
\% of
190
190
190
:
\newline
Find
90
%
90 \%
90%
of
190
190
190
:
Get tutor help
Find the following percentages of
95
95
95
.
\newline
Find
20
%
20 \%
20%
of
95
95
95
:
\newline
Find
60
%
60 \%
60%
of
95
95
95
:
Get tutor help
Find the following percentages of
35
35
35
.
\newline
Find
20
%
20 \%
20%
of
35
35
35
:
\newline
Find
80
%
80 \%
80%
of
35
35
35
:
Get tutor help
Sergio has
p
p
p
paintings in his art collection. He and other local painting collectors agreed to donate a total of
48
48
48
paintings to the local museum. Each of the
12
12
12
collectors will donate the same number of paintings. How many paintings will Sergio have in his art collection after his donation? Write your answer as an expression.
Get tutor help
The square below represents one whole. An array with
10
10
10
columns and
10
10
10
rows that represents
1
1
1
whole.
2
2
2
rows of
10
10
10
are shaded.
1
1
1
row of
9
9
9
is shaded. An array with
10
10
10
columns and
10
10
10
rows that represents
1
1
1
whole.
2
2
2
rows of
10
10
10
are shaded.
1
1
1
row of
9
9
9
is shaded. What percent is represented by the shaded area?
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The square below represents one whole. An array with
10
10
10
columns and
10
10
10
rows that represents
1
1
1
whole.
4
4
4
rows of
10
10
10
are shaded.
1
1
1
row of
3
3
3
is shaded. An array with
10
10
10
columns and
10
10
10
rows that represents
1
1
1
whole.
4
4
4
rows of
10
10
10
are shaded.
1
1
1
row of
3
3
3
is shaded. What percent is represented by the shaded area?
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