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Math Problems
Grade 8
Multi-step word problems
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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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One option in a roulette game is to bet
$
2
\$2
$2
on red (There are
18
18
18
red compartments,
18
18
18
black compartments, and two compartments that are neither red nor black) If the ball lands on red, you get to keep the
$
2
\$2
$2
you paid to play the game and you are awarded
$
2
\$2
$2
if the ball lands elsewhere, you am awarded nothing and the
$
2
\$2
$2
that you bet is codected Complete parts (a) through (b) below
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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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Saientist put an experiment to measure the gravitational force using two large spheres. In addition, both the spheres are
1000.0
k
g
1000.0 \mathrm{~kg}
1000.0
kg
, and their centres of mass are
2000.0
m
2000.0 m
2000.0
m
apart. Now, calculate the gravitat inal force between these two spheres?
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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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Scavenger+Hunt
\newline
PREVIOUS ANSWER:
\newline
SYSTEMS WORD PROBLEMS
\newline
13
13
13
Scavenger Hunt
\newline
The local bookstore is having a sale on used books. Nate bought
3
3
3
hardcover books and
7
7
7
paperback books and spent
$
29.50
\$ 29.50
$29.50
. Tia bought
2
2
2
hardcover books and
5
5
5
paperback books and spent
$
20.50
\$ 20.50
$20.50
. What is the cost of a hardcover book?
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A waitress sold
18
18
18
ribeye steak dinners and
22
22
22
grilled salmon dinners, totaling
$
579.15
\$ 579.15
$579.15
on a particular day. Another day she sold
29
29
29
ribeye steak dinners and
11
11
11
grilled salmon dinners, totaling
$
583.96
\$ 583.96
$583.96
. How much did each type of dinner cost?
\newline
The cost of ribeye steak dinners is
$
□
\$ \square
$
□
and the cost of salmon dinners is
$
□
\$ \square
$
□
.
\newline
(Simplify your answer. Round to the nearest hundredth as needed.)
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A waitress sold
20
20
20
ribeye steak dinners and
12
12
12
grilled salmon dinners, totaling
$
573.12
\$ 573.12
$573.12
on a particular day. Another day she sold
26
26
26
ribeye steak dinners and
6
6
6
grilled salmon dinners, totaling
$
582.07
\$ 582.07
$582.07
. How much did each type of dinner cost?
\newline
The cost of ribeye steak dinners is
$
\$
$
□
\square
□
and the cost of salmon dinners is
$
\$
$
□
\square
□
. (Simplify your answer. Round to the nearest hundredth as needed.)
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A
40
40
40
milliliter
(
m
L
)
(\mathrm{mL})
(
mL
)
bottle of pre-diluted tea tree oil contains a
5
%
5 \%
5%
concentration of the active ingredient. If the seller charges
$
14.96
\$ 14.96
$14.96
for the total amount of active ingredient in the bottle, what is the price per
m
L
\mathrm{mL}
mL
of the active ingredient?
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A waitress sold
13
13
13
ribeye steak dinners and
26
26
26
grilled salmon dinners, totaling
$
569.37
\$ 569.37
$569.37
on a particular day. Another day she sold
26
26
26
ribeye steak dinners and
13
13
13
grilled salmon dinners, totaling
$
582.68
\$ 582.68
$582.68
. How much did each type of dinner cost?
\newline
The cost of ribeye steak dinners is
$
\$
$
□
\square
□
and the cost of salmon dinners is
$
\$
$
□
\square
□
.
\newline
(Simplify your answer. Round to the nearest hundredth as needed.)
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A waitress sold
18
18
18
ribeye steak dinners and
12
12
12
grilled salmon dinners, totaling
$
563.44
\$ 563.44
$563.44
on a particular day. Another day she sold
26
26
26
ribeye steak dinners and
6
6
6
grilled salmon dinners, totaling
$
580.72
\$ 580.72
$580.72
. How much did each type of dinner cost?
\newline
The cost of ribeye steak dinners is
$
\$
$
□
\square
□
and the cost of salmon dinners is
$
\$
$
□
\square
□
. (Simplify your answer. Round to the nearest hundredth as needed.)
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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
)
c
(1)/(4)\,\text{c}
(
1
)
/
(
4
)
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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(
2
2
2
) Mrs. Katz bought
3
3
3
pounds of apples and a muffin for snacks. The apples cost
$
2.59
\$ 2.59
$2.59
per pound if you buy less than
3
3
3
pounds and
$
2.12
\$ 2.12
$2.12
per pound if you buy
3
3
3
or more pounds. The muffin cost
$
1.95
\$ 1.95
$1.95
. How much did she spend?
\newline
Answer: \$\(\newline\)\[ (3 \times 2.12) \]
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The ratio of Aiden to Daniel's savings was
4
:
5
4:5
4
:
5
at first. After Aiden saved another
$
138
\$138
$138
and Daniel saved another
$
39
\$39
$39
, Aiden had twice of Daniel's amount. How much did Aiden have in the end?
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8
8
8
. On a hot day in Brooks, a trucker loaded
37
00
‾
L
37 \underline{00} \mathrm{~L}
37
00
L
of diesel fuel. He then drove to Whitehorse, where the temperature was
23.0
K
23.0 \mathrm{~K}
23.0
K
lower than Brooks, and delivered the entire load. How many liters of diesel fuel did he deliver?
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One summer a football camp orders
40
40
40
footballs from a website. Including the one-time shipping fee, the total cost is
$
685
\$ 685
$685
. The next year the camp orders
70
70
70
footballs for the same website and pays
$
1135
\$ 1135
$1135
including the same shipping fee.
\newline
What is the cost per football?
\newline
Submit
\newline
What is the one-time shipping fee?
\newline
Submit
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4
4
4
A rectangular door sign has an area of
577
577
577
.
6
6
6
square centimeters. The length of the sign is
38
38
38
centimeters. What is its width?
\newline
The Wid Width
\newline
e bought a skateboard for
$
98.91
\$ 98.91
$98.91
. This is
3
3
3
times
h
h
h
as the cost of the helmet he bought. What is t of the helmet?
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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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