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Math Problems
Grade 6
Estimate quotients when dividing mixed numbers
Estimate. Which sign makes the statement true?
\newline
361
6
÷
105
9
?
8
\frac{361}{6} \div \frac{105}{9} \, ? \, 8
6
361
÷
9
105
?
8
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
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Estimate. Which sign makes the statement true?
\newline
10
?
365
8
÷
61
8
10 \,?\, \frac{365}{8} \div \frac{61}{8}
10
?
8
365
÷
8
61
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
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Estimate. Which sign makes the statement true?
\newline
4772
3
÷
9
\frac{4772}{3} \div 9
3
4772
÷
9
?
?
?
90
90
90
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
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Estimate. Which sign makes the statement true?
\newline
20
÷
53
5
?
6
20 \div \frac{53}{5} \,?\, 6
20
÷
5
53
?
6
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
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Estimate. Which sign makes the statement true?
\newline
259
?
4
,
374
÷
95
8
259 \, ? \, 4,374 \, \div \, \frac{95}{8}
259
?
4
,
374
÷
8
95
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
Get tutor help
Estimate. Which sign makes the statement true?
\newline
73
?
3063
8
÷
10
73 \, ? \, \frac{3063}{8} \div 10
73
?
8
3063
÷
10
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
Get tutor help
Estimate. Which sign makes the statement true?
\newline
10
?
365
6
÷
61
3
10 \,?\, \frac{365}{6} \div \frac{61}{3}
10
?
6
365
÷
3
61
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
Get tutor help
Estimate. Which sign makes the statement true?
\newline
564
5
÷
105
9
?
10
\frac{564}{5} \div \frac{105}{9} \; ? \; 10
5
564
÷
9
105
?
10
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
Get tutor help
Estimate. Which sign makes the statement true?
\newline
321
9
÷
6
?
9
\frac{321}{9} \div 6\;?\;9
9
321
÷
6
?
9
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
Get tutor help
Estimate. Which sign makes the statement true?
\newline
43
?
1044
5
÷
6
43 \, ? \, \frac{1044}{5} \div 6
43
?
5
1044
÷
6
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
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Estimate. Which sign makes the statement true?
\newline
1
,
642
1
3
÷
63
4
1,642\frac{1}{3} \div \frac{63}{4}
1
,
642
3
1
÷
4
63
?
\text{?}
?
542
542
542
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
Get tutor help
Estimate. Which sign makes the statement true?
\newline
3781
6
÷
72
9
?
94
\frac{3781}{6} \div \frac{72}{9} \; ? \; 94
6
3781
÷
9
72
?
94
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
Get tutor help
Estimate. Which sign makes the statement true?
\newline
3
?
3
4
×
10
3 \, ? \, \frac{3}{4} \times 10
3
?
4
3
×
10
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Estimate. Which sign makes the statement true?
\newline
6
?
1
3
×
8
6 \, ? \, \frac{1}{3} \times 8
6
?
3
1
×
8
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Estimate. Which sign makes the statement true?
\newline
5
?
3
4
×
10
5 \,?\, \frac{3}{4} \times 10
5
?
4
3
×
10
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Estimate. Which sign makes the statement true?
\newline
8
?
1
4
×
10
8 \, ? \, \frac{1}{4} \times 10
8
?
4
1
×
10
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Estimate. Which sign makes the statement true?
\newline
3
?
2
3
×
8
3 \, ? \, \frac{2}{3} \times 8
3
?
3
2
×
8
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Estimate. Which sign makes the statement true?
\newline
3
4
×
10
?
3
\frac{3}{4} \times 10 \,?\, 3
4
3
×
10
?
3
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Estimate. Which sign makes the statement true?
\newline
6
?
3
8
×
8
3
6 \, ? \, \frac{3}{8} \times \frac{8}{3}
6
?
8
3
×
3
8
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Estimate. Which sign makes the statement true?
\newline
1
4
×
10
?
7
\frac{1}{4} \times 10 \,?\, 7
4
1
×
10
?
7
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Estimate. Which sign makes the statement true?
\newline
1
3
×
8
\frac{1}{3} \times 8
3
1
×
8
?
\text{?}
?
7
7
7
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Nizhoni adds water at a constant rate to a
2
L
2 \mathrm{~L}
2
L
reservoir in a water filtering pitcher until it is full. At the same time, water goes through the filter and out of the reservoir, into the pitcher. It takes
5
11
\frac{5}{11}
11
5
minutes to fill the reservoir, then another
3
1
3
3 \frac{1}{3}
3
3
1
minutes for the reservoir to empty.
\newline
At what rate does Nizhoni add water to the reservoir?
\newline
L
min
\frac{\mathrm{L}}{\min }
min
L
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