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Math Problems
Grade 6
Add and subtract mixed numbers
Haley drew a square with a perimeter of
14.5
14.5
14.5
inches, a trapezoid with a perimeter of
14
1
4
14 \frac{1}{4}
14
4
1
inches, and a triangle with a perimeter of
14
4
5
14 \frac{4}{5}
14
5
4
inches. Which shape has the smallest perimeter?
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Donald has
x
x
x
twenty-dollar bills and
1
1
1
ten-dollar bill. How much money does Donald have? Write your answer as an expression.
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Donald has
x
x
x
twenty dollar bills and
1
1
1
ten dollar bill. How much money does Donald have? Write your answer as an expression.
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Uncle Drew scored
28
28
28
points in
5
5
6
5 \frac{5}{6}
5
6
5
minutes during a game of basketball. How many points did he average per minute during that
5
5
6
5 \frac{5}{6}
5
6
5
minutes?
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Lamar's Desserts made a batch of fresh scones with
4
5
6
4\frac{5}{6}
4
6
5
pounds of butter and
3
1
6
3\frac{1}{6}
3
6
1
pounds of sugar. How much more butter than sugar was used?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
pounds
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A bucket contains
4
1
3
4\frac{1}{3}
4
3
1
gallons of water. If Judy adds
4
1
3
4\frac{1}{3}
4
3
1
gallons more, how many gallons will there be in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ gallons
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
13
1
10
−
2
7
10
=
13\frac{1}{10} - 2\frac{7}{10} =
13
10
1
−
2
10
7
=
_____
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
9
3
5
−
7
2
5
=
9\frac{3}{5} - 7\frac{2}{5} =
9
5
3
−
7
5
2
=
_____
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Add. Write your answer as a fraction or as a whole or mixed number.
\newline
3
1
3
+
6
1
3
=
3\frac{1}{3} + 6\frac{1}{3} =
3
3
1
+
6
3
1
=
_____
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Wayne made some chili with
5
3
5
5\frac{3}{5}
5
5
3
cans of black beans and
3
4
5
3\frac{4}{5}
3
5
4
cans of pinto beans. How many cans of beans did Wayne use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
cans
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Adriana's milkshake recipe calls for
4
1
4
4\frac{1}{4}
4
4
1
scoops of ice cream and Max's recipe calls for
1
3
4
1\frac{3}{4}
1
4
3
scoops. How many more scoops of ice cream are used in Adriana's recipe than in Max's recipe?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
scoops
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Janelle's Coffee Shop can make lattes with either whole milk or nonfat milk. On Saturday, Janelle's Coffee Shop went through
13
7
12
13\frac{7}{12}
13
12
7
cartons of whole milk and
6
11
12
6\frac{11}{12}
6
12
11
cartons of nonfat milk. How much more whole milk was used than nonfat milk?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
cartons
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While making pastries, a bakery used
1
5
6
1\frac{5}{6}
1
6
5
bags of wheat flour and
4
5
6
4\frac{5}{6}
4
6
5
bags of white flour. How many bags of flour did the bakery use in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
bags
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The Parent-Teacher Association made
13
5
6
13\frac{5}{6}
13
6
5
gallons of fruit punch for Parents' Night. Parents and teachers drank only
7
1
6
7\frac{1}{6}
7
6
1
gallons altogether that night. How many gallons of fruit punch did the Parent-Teacher Association have left?
\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 Hillsdale in two consecutive months. In the first month, there were
2
1
8
2\frac{1}{8}
2
8
1
inches of rain. In the second month, there were
1
1
8
1\frac{1}{8}
1
8
1
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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Avery works at the Fifth Street Deli. Before the deli opened today, she chopped
1
1
3
1\frac{1}{3}
1
3
1
pounds of white onions and
6
1
3
6\frac{1}{3}
6
3
1
pounds of red onions. How many pounds of onions did Avery chop in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
pounds
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At the moment, a physical therapist has
10
2
5
10\frac{2}{5}
10
5
2
rolls of medical tape on hand. He anticipates using up
1
4
5
1\frac{4}{5}
1
5
4
rolls while working with patients this week. How much medical tape will he have left at the end of the week?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
rolls
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Tommy just bought a new lamp for his bedside table. The old lamp was
2
1
4
2\frac{1}{4}
2
4
1
feet tall and the new lamp is
4
3
4
4\frac{3}{4}
4
4
3
feet tall. How much taller is the new lamp than the old lamp.
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
feet
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
19
3
10
−
10
7
10
=
19\frac{3}{10} - 10\frac{7}{10} =
19
10
3
−
10
10
7
=
_____
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
10
3
7
−
3
6
7
=
10\frac{3}{7} - 3\frac{6}{7} =
10
7
3
−
3
7
6
=
_____
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
11
3
7
−
6
5
7
=
11\frac{3}{7} - 6\frac{5}{7} =
11
7
3
−
6
7
5
=
_____
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
5
6
7
−
2
5
7
=
5\frac{6}{7} - 2\frac{5}{7} =
5
7
6
−
2
7
5
=
_____
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Donald has
x
x
x
twenty-dollar bills and
1
1
1
ten-dollar bill.
\newline
How much money does Donald have?
\newline
Write your answer as an expression.
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
5
9
10
−
2
7
10
=
5\frac{9}{10} - 2\frac{7}{10} =
5
10
9
−
2
10
7
=
_____
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Add. Write your answer as a fraction or as a whole or mixed number.
\newline
7
7
10
+
9
1
10
=
7\frac{7}{10} + 9\frac{1}{10} =
7
10
7
+
9
10
1
=
_____
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
10
1
11
−
5
5
11
=
10\frac{1}{11} - 5\frac{5}{11} =
10
11
1
−
5
11
5
=
_____
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Subtract. Write your answer as a fraction or as a whole or mixed number.
\newline
11
1
11
−
4
2
11
=
11\frac{1}{11} - 4\frac{2}{11} =
11
11
1
−
4
11
2
=
_____
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Today Raymond is carrying his history textbook and his lunch in his backpack. If the history textbook weighs
1
1
5
1\frac{1}{5}
1
5
1
pounds and his lunch weighs
2
2
5
2\frac{2}{5}
2
5
2
pounds, how much weight is in Raymond's backpack?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
pounds
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At the Oak Grove Zoo's bug exhibit, Danny watches a millipede crawl for
5
7
10
5\frac{7}{10}
5
10
7
minutes, stay still for a while, and then crawl for
1
1
10
1\frac{1}{10}
1
10
1
minutes more. How much total time did Danny spend watching the millipede crawl?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
minutes
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Hassan's Road Paving Company mixed
7
7
10
7\frac{7}{10}
7
10
7
tons of cement. They used
2
9
10
2\frac{9}{10}
2
10
9
tons of the cement to pave a street downtown. How much cement did they have left?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ tons
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Destiny mixed together
8
1
4
8\frac{1}{4}
8
4
1
cups of grapefruit juice and
5
1
4
5\frac{1}{4}
5
4
1
cups of lemon-lime soda to make punch. How many cups of punch did Destiny make?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
cups
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Lee's drive to work is
15
1
6
15\frac{1}{6}
15
6
1
hours, whereas Duncan's is
11
5
6
11\frac{5}{6}
11
6
5
hours. How much longer is Lee's drive than Duncan's?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
hours
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Rebecca and her sister went together to get haircuts. Rebecca got
4
9
10
4\frac{9}{10}
4
10
9
inches cut off and her sister got
3
3
10
3\frac{3}{10}
3
10
3
inches cut off. Compared to her sister, how much more hair did Rebecca get taken off?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
inches
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Mackenzie and Ernest weighed their pet cats. Mackenzie's cat weighed
13
3
8
13\frac{3}{8}
13
8
3
pounds and Ernest's cat weighed
5
7
8
5\frac{7}{8}
5
8
7
pounds. How much more did Mackenzie's cat weigh than Ernest's cat?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
_
\_\_\_\_
____
pounds
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Roxanne is learning to drive, so this weekend she practiced driving
10
2
3
10\frac{2}{3}
10
3
2
miles with her mother and another
2
2
3
2\frac{2}{3}
2
3
2
miles with her father. How far did Roxanne drive in all?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ miles
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A meteorologist recorded the rainfall in Greenpoint in two consecutive months. In the first month, there were
3
1
3
3\frac{1}{3}
3
3
1
inches of rain. In the second month, there were
1
1
3
1\frac{1}{3}
1
3
1
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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At the end of a soccer game, the head coach noticed that the jug of water, which had initially contained
8
9
10
8\frac{9}{10}
8
10
9
gallons, was down to
1
7
10
1\frac{7}{10}
1
10
7
gallons. How many gallons of water had been consumed?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_
_
_
\_\_\_
___
gallons
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Gabrielle brought
18
1
6
18\frac{1}{6}
18
6
1
pitchers of juice to a volleyball game, and the players drank
7
5
6
7\frac{5}{6}
7
6
5
pitchers of it. How much juice is left?
\newline
Write your answer as a fraction or as a whole or mixed number.
\newline
_____ pitchers
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