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Math Problems
Grade 6
Multiply fractions: word problems
8
8
8
. In an examination,
15
%
15 \%
15%
of the candidate passed.
24
24
24
of these were girls. The remaining
3
5
\frac{3}{5}
5
3
of the candidates who passed were boys.
90
90
90
boys failed the examination. What percentage of the total number of candidates were girls who failed the examination?
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Lin did
1
/
3
1 / 3
1/3
of her homework at school and
2
/
5
2 / 5
2/5
on her bus ride home. What fraction of her homework did Lin do before she got home?
\newline
Write your answer as a fraction.
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9
9
9
The number of girls is
4
7
\frac{4}{7}
7
4
of the number of boys in a school.
3
7
\frac{3}{7}
7
3
of the boys and
3
8
\frac{3}{8}
8
3
of the girls obtained Gold Award in a Swim Safer test.
\newline
832
832
832
pupils did not obtain Gold Award.
\newline
(a) How many pupils took part in the Swim Safer test?
\newline
(b) How many pupils obtained Gold Award?
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Q
4
4
4
\newline
A basket contains some apples and oranges.
5
12
\frac{5}{12}
12
5
of the fruits are apples. There are
15
15
15
apples.
\newline
How many apples and oranges are there altogether?
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In a random sample of a particular model of drone,
2.5
%
2.5 \%
2.5%
of the drones have a manufacturing defect. At this rate, how many of
4
4
4
,
000
000
000
drones of the same model will have a manufacturing defect?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
2
2
.
5
5
5
\newline
(B)
25
25
25
\newline
(C)
100
100
100
\newline
(D)
1
1
1
,
000
000
000
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Sam kept pens in bags
A
A
A
and
B
B
B
. Bag A contained twice as many pens as bag
B
B
B
In bag
A
,
1
5
A, \frac{1}{5}
A
,
5
1
of the pens were red pens. In bag
B
,
1
3
B, \frac{1}{3}
B
,
3
1
of the pens were red pens. What fraction of Sam's pens were red pens?
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The park has
5
12
\frac{5}{12}
12
5
of its space a green space, if
1
5
\frac{1}{5}
5
1
of that green space is used, how much of the park is used?
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In Mila's class,
1
/
3
1 / 3
1/3
of her class has a brother. Of the students who have a brother,
1
/
2
1 / 2
1/2
of them also have a sister. What fraction of the students in Mila's class have a brother and a sister? Write in lowest terms and show your work.
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A consumer analysis indicates that between
2
3
\frac{2}{3}
3
2
and
4
5
\frac{4}{5}
5
4
of
810
810
810
visitors at the mall make purchases. Which of the following percentage of all visitors is the highest amount of possible visitors who do not make purchases at the mall?
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Yesterday,
3
5
\frac{3}{5}
5
3
of the flights at Logan County Airport were delayed. At Cass County Airport,
2
9
\frac{2}{9}
9
2
of the flights were delayed. Which airport had a higher fraction of delayed flights?
\newline
A)Logan County Airport
\newline
B)Cass County Airport
\newline
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Last month, Baldwin finished
3
7
\frac{3}{7}
7
3
of his to-do list items, while Jason completed
7
9
\frac{7}{9}
9
7
of his to-do list items. Who finished a greater fraction of his to-do list last month?
\newline
A)Baldwin
\newline
B)Jason
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Perry Repertory Theater Company sold out
1
10
\frac{1}{10}
10
1
of the performances it held. Hancock Shakespeare Company sold out
5
7
\frac{5}{7}
7
5
of the performances it put on. Which theater company sold out a greater fraction of its performances?
\newline
A)Perry Repertory Theater Company
\newline
B)Hancock Shakespeare Company
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On Sunday,
1
/
6
1/6
1/6
of the dogs seen in the park were on leashes. On Wednesday,
3
/
7
3/7
3/7
of the dogs in the same park were on leashes. Which day had a greater fraction of dogs on leashes?
\newline
A)Sunday
\newline
B)Wednesday
\newline
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