Practice Test Comparing and Scaling answer key

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Comparing and Scaling
Practice
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1) A sign at the fair advertises ticket prices for the carnival games.
Red tickets:
60 tickets for $32.50
Blue tickets:
15 tickets for $20.00
Yellow tickets:
7 tickets for $7.00
a) Find the unit price for each ticket color (in other words what is the price for 1
ticket)
Red Tickets: 32.50/60 = 0.541666666
Final Answer: $0.54
____________________________
Blue Tickets:
20/15=$1.33333333
Final Answer: $1.33
____________________________
Yellow Tickets:
7/7=1
Final Answer: $1
____________________________
b) How much would 25 red tickets cost?
25*0.54= $13.50
Or you could set up a
proportion and get $13.54
c) How many blue tickets could you buy for $32.00?
32/1.33=24.06
24 Tickets (you can not
purchase part of a ticket)
d) Which ticket is the cheapest per ticket?
Red
Comparing and Scaling Practice Test
1
Points: ____________
2) The fair’s train ride covers a distance of 5 miles in 15 minutes
a) What is the speed of the train in miles per minute?
5/15=0.333333 miles per minute
b) What is the speed of the train in miles per hour?
5*4 (because there are 4 minute
minutes in 1 hour)=20 miles
c) How far does the train travel in 42 minutes (with no stops)?
5/15=x/42
14 miles
d) How long would it take to travel 9 miles?
5/15=9/x
27 minutes
3) There are 45 pretzels in a 15-ounce bag of chocolate covered pretzels.
a) What is the number of chocolate covered pretzels in a 3 ounce bag?
45/15=x/3
9 pretzles
b) What is the number of chocolate covered pretzels per ounce?
45/15=5 pretzels per ounce
4) At Fuzzy Wigs they sell seven 24 ounce bags of M&M’s for $9.50. At Wal-Mart
they sell the same bag of M&M’s five bags for $6.50. Which store is a better
buy? Explain using math or sentences.
Keep in mind that the 24-ounce
bag information is there to
throw you off!
You can do $ per bag (choose
Comparing
smaller) and Scaling Practice Test
Or bags per $ (choose bigger)
Final Answer: Wal-Mart
2
Points: ____________
5) Dunkin Donuts has donuts on sale at 10 for $5.20.
a) What is the cost per donut?
5.2/10=$0.52
b) How many donuts can you buy for a dollar?
Remember you can’t purchase
part of a donut!
1
c) If I have $8, how many donuts can I buy?
10/5.2=x/8
15 donuts
7)
There are 540 student enrolled at SHMS, 297 of them are boys. What percent of
the school is boys? What is the percent of the school is girls?
Boys:
297/540=0.55 *100= 55% boys
100-55= 45% girls
8) Solve each proportion, round to the nearest hundredth.
a) 1 < x
b)
3 = 20
4 24
4 x
Anything bigger than 6
b) X > 11
20 16
26.67
13.75 or higher
d)
9 < 15
12 x
20 or lower
9)
Nancy has a birdfeeder that holds 8 cups of bird food. Her bird food mixture is
80% sunflower seeds, and 20% wild seeds. How much sunflower seeds and wild seeds
does she need to fill her 8 cup bird feeder?
80/100=x/8
6.4 cups sunflower seeds
1.6 cups wild seeds
Comparing and Scaling Practice Test
3
Points: ____________
10)
Alayna is having a birthday party at Chuck E Cheese this weekend. A small table
can hold 6 people and it gets 3 pizzas, a medium table can hold 9 people and it gets 5
pizzas, and a large table can hold 14 people and it gets 8 pizzas. If Alayna is really
hungry from playing all day in the ball pit which table should she sit at to get the most
pizza?
Small = 3/6 (0.5)
Medium= 5/9 (0.5555)
Large= 8/14 (0.57..)
Large table if your hungry!
11)
a)
The local farmers market sells 5 peppers for $2.25.
Fill in the rate table below
Peppers 1
Cost
b)
2
3
4
5
$2.25
How many peppers could you buy with $20?
10
15
20
100
5/2.25=x/20
44 peppers
c)
Write an equation to find the cost of any number of peppers.
C=0.45p
C= cost
P= peppers
Comparing and Scaling Practice Test
4
Points: ____________