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Math Problems
Grade 6
Add, subtract, multiply, or divide two fractions
New policies reduced the overuse of water in an area. The
water table
\text{water table}
water table
in that area went up by
x
x
x
meters in one year. The water table was
y
y
y
meters below the surface at the start of the year. The following equation describes this situation. What does
x
x
x
tell us? Choose
1
1
1
answer:
\newline
Choose
1
1
1
answer:
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
14
2
3
−
10
1
3
=
14\frac{2}{3} - 10\frac{1}{3} =
14
3
2
−
10
3
1
=
_____
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Add. Write your answer as a fraction or as a whole or mixed number.
\newline
2
3
8
+
3
1
8
=
2\frac{3}{8} + 3\frac{1}{8} =
2
8
3
+
3
8
1
=
_____
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Divide.
\newline
1
4
÷
2
=
_
_
_
_
\frac{1}{4} \div 2 = \_\_\_\_
4
1
÷
2
=
____
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A cookie factory uses
1
8
\frac{1}{8}
8
1
of a barrel of oatmeal in each batch of cookies. The factory used
5
8
\frac{5}{8}
8
5
of a barrel of oatmeal yesterday. How many batches of cookies did the factory make?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ batches
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A pizza restaurant had
1
2
\frac{1}{2}
2
1
of a gallon of pizza sauce left at the end of the evening and divided it equally between
2
2
2
pizzas. How much sauce did they put on each pizza?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ gallons
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A meteorologist recorded the rainfall in Westminster in two consecutive months. In the first month, there was
1
1
1
inch of rain. In the second month, there was
2
2
3
2\frac{2}{3}
2
3
2
inches of rain. What was the total amount of rainfall during the two months?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
inches
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Danielle bought
3
5
6
3\frac{5}{6}
3
6
5
pounds of green grapes and
1
1
2
1\frac{1}{2}
1
2
1
pounds of red grapes. How much more did the green grapes weigh than the red grapes?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
pounds
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Maureen and Ashley own neighboring cornfields. Maureen harvested
4
4
4
acres of corn on Monday and Ashley harvested
5
8
\frac{5}{8}
8
5
of an acre. How many more acres did Maureen harvest than Ashley?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
acres
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Roxanne added
2
5
\frac{2}{5}
5
2
of a cup of yellow raisins and
7
7
10
7\frac{7}{10}
7
10
7
cups of black raisins to a batch of trail mix. How many cups of raisins did Roxanne add in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ cups
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Divide.
\newline
2
4
9
2\frac{4}{9}
2
9
4
÷
\div
÷
1
7
9
1\frac{7}{9}
1
9
7
= _____
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Divide.
\newline
1
5
8
1\frac{5}{8}
1
8
5
÷
\div
÷
1
1
8
1\frac{1}{8}
1
8
1
= _____
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Divide.
\newline
3
3
4
3\frac{3}{4}
3
4
3
÷
\div
÷
2
1
2
2\frac{1}{2}
2
2
1
= _____
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Divide.
\newline
2
3
4
2\frac{3}{4}
2
4
3
÷
\div
÷
2
4
9
2\frac{4}{9}
2
9
4
= _____
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Divide.
\newline
1
1
2
1\frac{1}{2}
1
2
1
÷
\div
÷
1
1
4
1\frac{1}{4}
1
4
1
= _____
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Divide.
\newline
2
1
2
2\frac{1}{2}
2
2
1
÷
\div
÷
1
1
2
1\frac{1}{2}
1
2
1
= _____
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Divide.
\newline
2
1
3
2\frac{1}{3}
2
3
1
÷
\div
÷
3
1
9
3\frac{1}{9}
3
9
1
= _____
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Divide.
\newline
3
3
4
3\frac{3}{4}
3
4
3
÷
\div
÷
1
3
4
1\frac{3}{4}
1
4
3
= _____
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Divide.
\newline
1
2
3
÷
1
2
3
=
1\frac{2}{3} \div 1\frac{2}{3} =
1
3
2
÷
1
3
2
=
_____
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Solve for
a
a
a
:
2
a
+
3
5
\frac{2a +3}{5}
5
2
a
+
3
=
3
3
3
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In making macaroni and cheese, Porter used
1
2
\frac{1}{2}
2
1
of a cup of cheddar and
3
5
\frac{3}{5}
5
3
of a cup of parmesan. How much cheese did Porter use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
cups
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Laura, a pet store employee, wants to fit two fish tanks on one table. One fish tank is
2
1
8
2\frac{1}{8}
2
8
1
feet wide and the other fish tank is
1
1
1
foot wide. When placed next to each other, what is the total width of the two fish tanks?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
feet
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Vince owns two dogs. Each day, one dog eats
1
7
10
1\frac{7}{10}
1
10
7
scoops of dog food and the other dog eats
1
1
2
1\frac{1}{2}
1
2
1
scoops. Together, how much dog food do the two dogs eat each day?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
scoops
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Last week, a chocolate shop sold
4
1
6
4\frac{1}{6}
4
6
1
ounces of white chocolate. It sold
4
1
2
4\frac{1}{2}
4
2
1
times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ ounces
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A biologist studied how cells grow by adding liquid protein to cell samples. She reported in her study that she divided
8
1
3
8\frac{1}{3}
8
3
1
ounces of liquid protein evenly among
3
3
3
cell samples. How much liquid protein did she give to each cell sample?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ ounces
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Divide.
\newline
1
2
\frac{1}{2}
2
1
÷
\div
÷
2
3
\frac{2}{3}
3
2
=
_
_
_
_
_
\_\_\_\_\_
_____
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Divide.
\newline
−
1
4
÷
−
1
3
=
-\frac{1}{4} \div -\frac{1}{3} =
−
4
1
÷
−
3
1
=
_____
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Divide.
\newline
1
8
\frac{1}{8}
8
1
÷
\div
÷
1
10
\frac{1}{10}
10
1
= _____
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3
3
3
)
8
÷
7
4
)
≤
4
8 \div 7_{4)} \leq 4
8
÷
7
4
)
≤
4
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X
6
=
4
\frac{X}{6} = 4
6
X
=
4
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3
1
3
×
2
5
3 \frac{1}{3} \times \frac{2}{5}
3
3
1
×
5
2
equal
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How many pounds of candy that sells for
$
3.25
\$ 3.25
$3.25
per lb must be mixed with candy that sells for
$
2.75
\$ 2.75
$2.75
per lb to obtain
20
l
b
20 \mathrm{lb}
20
lb
of a mixture that should sell for
$
3.15
\$ 3.15
$3.15
per
l
b
\mathrm{lb}
lb
?
\newline
□
\square
□
Ib of
$
3.25
\$ 3.25
$3.25
-per-lb candy must be mixed with
□
\square
□
Ib of
$
2.75
\$ 2.75
$2.75
-per-lb candy. (Type integers or decimals.)
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How many pounds of candy that sells for
$
1.75
\$ 1.75
$1.75
per lb must be mixed with candy that sells for
$
1.25
\$ 1.25
$1.25
per
l
b
\mathrm{lb}
lb
to obtain
20
l
b
20 \mathrm{lb}
20
lb
of a mixture that should sell for
$
1.50
\$ 1.50
$1.50
per
l
b
\mathrm{lb}
lb
?
\newline
□
\square
□
lb of
$
1.75
\$ 1.75
$1.75
-per-lb candy must be mixed with
□
\square
□
lb of
$
1.25
\$ 1.25
$1.25
-per-lb candy.
\newline
(Type integers or decimals.)
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Sebastian has
12
12
12
more trophies than Megan. Megan has
t
t
t
trophies.
\newline
How many trophies does Sebastian have?
\newline
Write your answer as an expression.
\newline
□
\square
□
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Sarah received
$
55
\$55
$55
for her birthday. She used some of that money to buy
3
3
3
shirts priced at
m
m
m
dollars each.
\newline
How much money does Sarah have left?
\newline
Write your answer as an expression.
\newline
$
\$
$
◻
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Jack had
3
3
3
bags of golf balls with
b
b
b
balls in each bag; then his friend gave him
6
6
6
more golf balls.
\newline
How many golf balls does Jack have now?
\newline
Write your answer as an expression.
\newline
□
\square
□
balls
\text{balls}
balls
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The garden club earned
$
15
\$15
$15
per hour by weeding neighborhood gardens for
t
t
t
hours. A generous donor has agreed to double their earnings.
\newline
How much did the garden club earn in all?
\newline
Write your answer as an expression.
\newline
$
\$
$
◻
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3
3
3
Write each number as a power of
5
5
5
.
\newline
a
0
0
0
.
2
2
2
\newline
b
25
25
25
\newline
c
0.04
\quad 0.04
0.04
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lines of symmetry?
\newline
4
4
4
\newline
0
0
0
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4
4
4
) Using the table above, what percentage of patients did not exercise
\newline
1
1
1
\newline
given that they did not catch a cold? Do not round your answer.
\newline
0.24
0.24
0.24
\newline
Use the table below to answer questions
5
5
5
-
7
7
7
.
\newline
5
5
5
) What percentage *
1
1
1
of those surveyed listen to pop music? Round to the nearest percent.
\newline
\begin{tabular}{|c|c|c|c|}
\newline
\hline & Vote Red & Vote Blue & Total \\
\newline
\hline Listen to Pop &
30
30
30
&
100
100
100
&
130
130
130
\\
\newline
\hline \begin{tabular}{c}
\newline
Listen to \\
\newline
Country
\newline
\end{tabular} &
90
90
90
&
5
5
5
&
95
95
95
\\
\newline
\hline Total &
120
120
120
&
105
105
105
&
?
?
?
\\
\newline
\hline
\newline
\end{tabular}
\newline
Your answer
\newline
6
6
6
) Using the table above, what percentage of students voted blue?
\newline
Round to the nearest whole percent.
\newline
Your answer
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B.E.S.T. EOC Geometry > Segments formed by intersecting chords wsiz
\newline
Find the value of
x
x
x
.
\newline
Write your answer as a whole number or a decimal.
\newline
x
=
x=
x
=
\newline
□
\square
□
\newline
Submit
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8
8
8
. A jeweler created a parallelogram-shaped pendant.
1
4
\frac{1}{4}
4
1
of the pendant is covered in emeralds,
1
6
\frac{1}{6}
6
1
of it is covered in rubies,
1
12
\frac{1}{12}
12
1
of it is covered in diamonds, and the rest of it is covered in sapphires. How many square centimeters of the pendant are covered in sapphires? Round to the nearest tenth.
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763
=
9
7 6 3=9
763
=
9
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First try was incorrect
\newline
Mr. Pewser counted the number of marbles in a bag.
\newline
Use the circle graph to answer the question below.
\newline
Total Marbles
\newline
What percentage (to the nearest tenth) of the marbles were not green?
\newline
symbol required
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5
×
7
=
5\times7=
5
×
7
=
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(
0.3
+
1.5
)
×
3
2
÷
5
2
(0.3+1.5) \times \frac{3}{2} \div \frac{5}{2}
(
0.3
+
1.5
)
×
2
3
÷
2
5
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7
7
7
divided
3
4
\frac{3}{4}
4
3
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6
6
6
divided
5
5
5
over
4
4
4
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1
1
1
.
1
/
2
×
5
/
6
÷
5
/
8
1 / 2 \times 5 / 6 \div 5 / 8
1/2
×
5/6
÷
5/8
\newline
2
2
2
.
2
1
2
×
1
3
+
1
/
6
2 \frac{1}{2} \times \frac{1}{3}+1 / 6
2
2
1
×
3
1
+
1/6
\newline
3
3
3
.
1
3
4
×
1
/
2
+
2
1
3
÷
1
1
4
1 \frac{3}{4} \times 1 / 2+2 \frac{1}{3} \div 1 \frac{1}{4}
1
4
3
×
1/2
+
2
3
1
÷
1
4
1
Get tutor help
A STORY OF RATIOS
\newline
Lesson
18
18
18
\newline
605
605
605
\newline
Anariesah
\newline
April
/
10
/
2024
/ 10 / 2024
/10/2024
\newline
Example
1
1
1
\newline
Fold the net used in the Opening Exercise to make a rectangular prism. Have the two faces with the largest area be the bases of the prism. Fill in the first row of the table below.
\newline
Examine the rectangular prism below. Complete the table.
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