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Math Problems
Grade 8
Multi-step word problems
Miguel's cat, Chester, weighs
6.8
6.8
6.8
pounds. Chester's vet tells Miguel to feed the cat
3
4
\frac{3}{4}
4
3
of an ounce of canned food daily for each pound of body weight. The next morning, Miguel opens a new can of food to feed Chester. If the can holds
5.5
5.5
5.5
ounces, how much food will be left after one day?
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Hunter has
2
1
2
2 \frac{1}{2}
2
2
1
hours to spend at Wally's Game World. He spends
1
4
\frac{1}{4}
4
1
of an hour playing arcade games, and he spends the rest of the time playing miniature golf with his friends. If each round of golf takes
3
4
\frac{3}{4}
4
3
of an hour, how many rounds does Hunter play?
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A study suggests that
75
%
75\%
75%
of household solid waste can be recycled. However, the average person only recycles
30
%
30\%
30%
of his or her solid waste. If the average person produces
4.5
4.5
4.5
pounds of solid waste a day, approximately how many more pounds of solid waste could be recycled compared to the amount they currently recycle?
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Carmie works in the National Library. In
3
3
3
weeks, she spent
3
3
4
3 \frac{3}{4}
3
4
3
hours working daily. She was paid
P
175.00
P175.00
P
175.00
per hour. How much did she receive at the end of
3
3
3
weeks?
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The function \\[f\\] is shown. If \\[x+\(3\)\\] is a factor of \\[f\\], what is the value of \\[f(\(-3\))\\] ? Choose \(1\) answer:
\(\newline\)A) \(0\)\(\newline\)B) \(3\)\(\newline\)C) \(-3\)\(\newline\)D) \(9\)
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Yuki works at an aquarium. To clean a tank, she calculates
7
900
\frac{7}{900}
900
7
of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be
2
1
3
L
2 \frac{1}{3} \text{ L}
2
3
1
L
of cleaning solution.
\newline
A)
300
300
300
L
\newline
B)
350
350
350
L
\newline
C)
400
400
400
L
\newline
D)
450
450
450
L
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Charlie reads quickly. He reads
1
3
7
1 \frac{3}{7}
1
7
3
pages every
2
3
\frac{2}{3}
3
2
minutes. Charlie reads at a constant rate. How many pages does he read per minute?
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William is making pies with the fresh peaches he picked at Butterscotch Orchard. He prepares the peaches by chopping them into small pieces. William has a total of
1
7
8
1\frac{7}{8}
1
8
7
pounds of peaches for his pies. He makes
3
3
3
pies, each with the same amount of peaches. How many pounds of peaches are in each pie? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number.
\newline
____ pounds
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Harbor School's Spring Sprinter is tomorrow, and Ben will be setting up water stations along the race course. The race will be broken into
6
6
6
sprints that are all the same length, and he plans to set up a water station at the end of each sprint. The race will be a total of
2
2
5
2\frac{2}{5}
2
5
2
miles long. How long will each sprint be? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number.
\newline
____ miles
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Lila is making oatmeal cookies for the Charlestown Community Bake Sale. Lila sets aside
1
7
8
1\frac{7}{8}
1
8
7
pounds of the cookie dough to remain plain, and then she adds raisins and walnuts to the rest of the dough. Lila makes
15
15
15
equal-sized cookies with the plain cookie dough. How much plain cookie dough does she use for each cookie? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number.
\newline
____ pounds
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Danny is making raspberry turnovers with fresh berries from his garden. He picks
2
1
3
2\frac{1}{3}
2
3
1
pints of raspberries and makes
7
7
7
identical turnovers. How many pints of raspberries are in each turnover? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number.
\newline
____ pints
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Bernie helped design a magician costume for a school play. He used
5.75
5.75
5.75
feet of ribbon for the magician's wand. He used
11.75
11.75
11.75
feet of the same ribbon to decorate the magician's robe. If Bernie used
$
10.50
\$10.50
$10.50
of ribbon in all, how much did the ribbon cost per foot?
\newline
$
\$
$
____
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An employment agency specializing in temporary construction help pays heavy equipment operators
$
133
\$ 133
$133
per day and general laborers
$
88
\$ 88
$88
per day. If thirty-four people were hired and the payroll was
$
3847
\$ 3847
$3847
, how many heavy equipment operators were employed? How many laborers?
\newline
The number of heavy equipment operators hired was
□
\square
□
\newline
The number of general laborers hired was
□
\square
□
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Meg and Gabby work at different car washes. Meg worked for
4
4
4
hours and earned
$
31
\$31
$31
. Gabby worked for
5
5
5
hours and earned
$
37.50
\$37.50
$37.50
. Who makes more money per hour?
\newline
Choices:
\newline
(A) Meg
\newline
(B) Gabby
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The house Trevor's family lives in has
6
6
6
people (including Trevor) and
3
3
3
bathrooms. In the past month, each person showered for an average of
480
480
480
minutes and used an average
72
72
72
liters of shower water (over the entire month). Water costs
0
0
0
.
20
20
20
dollars per liter.
\newline
How much did Trevor's family pay per minute on shower water?
\newline
__________dollars per minute
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The house Trevor's family lives in has
6
6
6
people (including Trevor) and
3
3
3
bathrooms. In the past month, each person showered for an average of
480
480
480
minutes and used an average
72
72
72
liters of shower water (over the entire month). Water costs
0
0
0
.
20
20
20
dollars per liter.
\newline
How much money did Trevor's family spend, in total, on shower water in the past month?
\newline
_______dollars
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A hawker buys
250
250
250
apples at a cost of
$
645
\$ 645
$645
, of which
14
%
14 \%
14%
of them are rotten and must be discarded. The hawker sets the selling price for each of the remaining apples so that the overall profit percent is not less than
30
%
30 \%
30%
. Find the range of the selling price of each apple.
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Kurt, Sophia, and Franco had a paper airplane-throwing contest after school. Kurt's airplane flew
8.6
8.6
8.6
yards. Sophia's airplane flew
2.2
2.2
2.2
yards farther than Kurt's airplane. Franco threw his airplane
1.5
1.5
1.5
times as far as Sophia's airplane. How far did Franco's paper airplane fly?
\newline
Write your answer as a whole number or decimal.
\newline
____ yards
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Ben wants to try a new honey-glazed salmon recipe. He starts with
1
2
3
1\frac{2}{3}
1
3
2
cups of honey. He uses
1
5
\frac{1}{5}
5
1
of it to make the glaze. How much honey does Ben have left?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ cups
\newline
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Hunter has
2
1
2
2 \frac{1}{2}
2
2
1
hours to spend at Wally's Game World. He spends
1
4
\frac{1}{4}
4
1
of an hour playing arcade games, and he spends the rest of the time playing miniature golf with his friends. If each round of golf takes
3
4
\frac{3}{4}
4
3
of an hour, how many rounds does Hunter play?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ rounds
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Wendy jogs a
5.5
5.5
5.5
-mile route in the city with her running club once a week. She also jogs a nature trail near her home once a week. The nature trail is
1.5
1.5
1.5
times as long as the route in the city. How many miles does Wendy jog in all each week?
\newline
Write your answer as a whole number or decimal.
\newline
____ miles
\newline
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After a blizzard, Zeke shovels snow from the sidewalk in front of his house. The sidewalk is
20
1
2
20\frac{1}{2}
20
2
1
yards long. Before breakfast, Zeke shovels
1
4
\frac{1}{4}
4
1
of the sidewalk. How many yards are left for Zeke to shovel after breakfast?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
_
_
_
\_\_\_
___
yards
\newline
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Harper needs to buy some new leotards for gymnastics practice. At the sporting goods store, she finds
2
2
2
leotards on sale for
$
24.80
\$24.80
$24.80
each. She buys them both and finds out that she saved a total of
$
22.38
\$22.38
$22.38
. If she saved the same amount on each one, what was the original price of each leotard?
\newline
$
\$
$
____
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During a rain shower, Jeanette collects
42
1
2
42\frac{1}{2}
42
2
1
gallons of water in a rain barrel outside her home. She uses
1
1
4
1\frac{1}{4}
1
4
1
gallons to water plants inside her house. Then, she uses
1
2
\frac{1}{2}
2
1
of the remaining water to wash a load of dirty laundry. How many gallons of water does Jeanette use to wash her laundry?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
_
_
_
\_\_\_
___
gallons
\newline
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Every Wednesday, Wayne works out for
3
4
\frac{3}{4}
4
3
of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for
3
3
3
times as long. How much time does Wayne spend at the fitness center in all each week?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ hours
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Lola has
4
1
2
4\frac{1}{2}
4
2
1
cups of rice. She uses
3
4
\frac{3}{4}
4
3
of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ cups
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Sophie went to the lake with her family. First, they spent
1
1
4
1\frac{1}{4}
1
4
1
hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ hours
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Brittany needed new tires for her truck. She went to the auto shop and bought
4
4
4
tires on sale for
$
85.95
\$85.95
$85.95
each. The salesman told her that she saved a total of
$
96.16
\$96.16
$96.16
. If Brittany saved the same amount on each tire, what was the original price of each tire?
\newline
$
\$
$
____
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Edwin has
3
1
2
3 \frac{1}{2}
3
2
1
gallons of green paint. He uses
2
3
\frac{2}{3}
3
2
of the paint to paint his bedroom. He uses the rest of the paint for a mural in his garage. How much paint does Edwin use for the mural?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ gallons
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Rosanne makes
1
1
/
2
1\ 1/2
1
1/2
liters of strawberry lemonade. She pours
1
/
4
1/4
1/4
of a liter of lemonade into a thermos to take to the park. Her brother drinks
2
/
5
2/5
2/5
of the remaining lemonade. How much lemonade does Rosanne's brother drink?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ liters
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Carmen went rock climbing at the climbing gym for
1
1
2
1\frac{1}{2}
1
2
1
hours on Thursday. On Saturday, she went to Castle Rock State Park and climbed for
1
1
2
1\frac{1}{2}
1
2
1
times as long. How much time did she spend rock climbing in all?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
_
_
_
_
\_\_\_\_
____
hours
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Clare follows the same workout cycle each time she goes to the gym. First, she runs for
1
3
\frac{1}{3}
3
1
of an hour. Then, she lifts weights for
1
6
\frac{1}{6}
6
1
of an hour. If Clare has
1
1
2
1\frac{1}{2}
1
2
1
hours to spend at the gym, how many times can she go through her workout cycle?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ times
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Luther owns a farm where he grows red and green tomatoes. He sells both types of tomatoes for
$
1.70
\$1.70
$1.70
per pound. One customer bought
10.6
10.6
10.6
pounds of red tomatoes and
8.3
8.3
8.3
pounds of green tomatoes. How much money did Luther earn in all from that sale?
\newline
$
\$
$
____
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Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for
2
1
2
2 \frac{1}{2}
2
2
1
cups of sugar for the cake and
1
1
4
1 \frac{1}{4}
1
4
1
cups of sugar for the vanilla glaze. How many
1
4
\frac{1}{4}
4
1
-cup scoops of sugar does he need?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ scoops
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Stefan has
4
1
2
4\frac{1}{2}
4
2
1
cups of oats. He uses
3
1
4
3\frac{1}{4}
3
4
1
cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs
1
4
\frac{1}{4}
4
1
of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ days
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Tammy has
$
20
\$20
$20
to spend at the movie theater. She spends
$
9.50
\$9.50
$9.50
on a movie ticket. If the snack counter sells bags of candy for
$
3.50
\$3.50
$3.50
each, how many bags of candy can Tammy buy with the money she has left?
\newline
Write your answer as a whole number or decimal.
\newline
_
_
_
\_\_\_
___
bags of candy
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Julian is making potato salad for a family picnic. At the market, he spends
$
5.58
\$5.58
$5.58
on red potatoes and
$
4.68
\$4.68
$4.68
on yellow potatoes. If each type of potato costs
$
0.90
\$0.90
$0.90
per pound, how many total pounds of potatoes does he buy?
\newline
Write your answer as a whole number or decimal.
\newline
_
_
_
_
\_\_\_\_
____
pounds
\newline
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Jasmine is having friends over to watch a football game. She has
2
1
2
2 \frac{1}{2}
2
2
1
hours until her guests arrive. She spends
2
5
\frac{2}{5}
5
2
of that time cleaning and the rest of the time preparing snacks. How much time does Jasmine spend preparing snacks?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
_
_
_
\_\_\_
___
hours
\newline
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Paula invited some friends to dinner, and she plans to make fajitas. At the grocery store, she spends
$
2.56
\$2.56
$2.56
on red bell peppers and
$
1.92
\$1.92
$1.92
on green bell peppers. If both types of bell peppers cost
$
1.60
\$1.60
$1.60
per pound, how many total pounds of bell peppers does she buy?
\newline
Write your answer as a whole number or decimal.
\newline
_
_
_
_
\_\_\_\_
____
pounds
\newline
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Becky is buying fabric to make new pillows for her couch. She spends
$
71.50
\$71.50
$71.50
on striped fabric and
$
52.25
\$52.25
$52.25
on checkered fabric. If both fabrics cost
$
5.50
\$5.50
$5.50
per yard, how many total yards of fabric does she buy?
\newline
Write your answer as a whole number or decimal.
\newline
_
_
_
_
\_\_\_\_
____
yards
\newline
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Kiera and her brother, Mitchell, are saving money to adopt a puppy. Kiera currently has
126
126
126
$
\$
$
and plans to save an additional
14
14
14
$
\$
$
each week. Mitchell currently has
42
42
42
$
\$
$
and plans to save an additional
20
20
20
$
\$
$
each week.
\newline
How many weeks will pass before Kiera and Mitchell have the same amount of money? How much money will they each have?
\newline
In ___ weeks, Kiera and Mitchell will each have
$
\$
$
___.
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Pillan earns
$
7.25
\$7.25
$7.25
an hour weeding gardens. Maska earns
$
5.50
\$5.50
$5.50
an hour trimming hedges. They decide to pool their money and split it evenly. How much do they each have after working for
8
8
8
hours? Show your work.
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In a lab experiment,
30
30
30
bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every
7
7
7
hours. How many bacteria would there be after
16
16
16
hours, to the nearest whole number?
\newline
Answer: ◻
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Mrs. Aquino hired a caterer for her son's graduation party.
\newline
• The caterer charges
$
135
\$135
$135
to cater a party for
10
10
10
or fewer people.
\newline
• For every
2
2
2
additional people who attend the party, the caterer charges
$
15
\$15
$15
extra.
\newline
• Mrs. Aquino spends
$
225
\$225
$225
on catering for the party.
\newline
How many people are attending the party?
\newline
_
_
_
\_\_\_
___
people
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Yuki works at an aquarium. To clean a tank, she calculates
7
900
\frac{7}{900}
900
7
of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be
2
1
3
2\frac{1}{3}
2
3
1
L
L
L
of cleaning solution.
\newline
What is the total volume of the tank?
\newline
□
\square
□
liters
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One cookbook recommends that a person can substitute
1
Tbsp
1\,\text{Tbsp}
1
Tbsp
of dried mint leaves for
1
4
\frac{1}{4}
4
1
c
c
c
of fresh mint leaves. The salad recipe calls for
2
Tbsp
2\,\text{Tbsp}
2
Tbsp
of fresh mint leaves. How many
Tbsp
\text{Tbsp}
Tbsp
of dried mint leaves could a person substitute into the recipe? (There are
16
Tbsp
16\,\text{Tbsp}
16
Tbsp
in
1
c
1\,\text{c}
1
c
.)
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Marco's mom gave him
d
d
d
dollars for his allowance one week. He also earned
(
$
14.55
)
(\$14.55)
(
$14.55
)
for his newspaper route that week.
\newline
How much money does Marco have?
\newline
Write your answer as an expression.
\newline
□
\square
□
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The chambered nautilus is a deepsea creature with a spiral shell that can withstand pressure up to
1180
1180
1180
pounds per square inch (
psi
\text{psi}
psi
). Underwater pressure consists of atmospheric pressure, which is
14.7
psi
14.7\text{psi}
14.7
psi
, plus
0.45
psi
0.45\text{psi}
0.45
psi
of hydrostatic pressure per foot of depth under water. To the nearest foot, what is the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure?
\newline
□
\square
□
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Some friends are planning to make a neighborhood garden. The total area available for the garden is
210
square meters
210\,\text{square meters}
210
square meters
, and they want this to be
1
1
3
1\frac{1}{3}
1
3
1
times the area of the plant beds in the garden.
\newline
What should the area of the plant beds be?
\newline
□
meters
\square\,\text{meters}
□
meters
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Paolo helped in the community garden for
2
3
4
2\frac{3}{4}
2
4
3
hours this week. That was
1
5
6
1\frac{5}{6}
1
6
5
equal-length shifts, because Paolo stopped early one day when it started to rain. How long is a single shift?
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1
2
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