Name ____________________________
Saint ________________
Date __________
Ratios, Rates, and Proportions Study Guide
*I can understand and use ratios to describe relationships.
1) Write the ratio of squares to triangles in three different ways.
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2) Write the ratio of circles to the total amount of shapes in three different
ways.
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3) Write another ratio using the picture. Describe your ratio.
4) Complete the pattern in the table using equal ratios.
Number of
students
with pets
Total
number of
students
1
3
3
9
9
81
81
*I can find equal ratios in order to make proportions.
5) Write three ratios that are equal to 12:60.
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6) Write three ratios that are equal to 4 to 9.
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7) Write the ratio 6 to 8 in simplest form.
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8) Do the ratios
16
48
and
12
32
form a proportion? Why or why not?
9) Are the ratios 6 to 7 and 36 to 42 proportional? Why or why not?
10)
Do the ratios 1:3 and 3:1 form a proportion? Why or why not?
*I can understand rates and unit rates.
11) What is the difference between a ratio and a rate?
12) What is difference between a rate and a unit rate?
13) On average about 45,000,000 gallons of water flow over the Niagara Falls in 60
seconds. About how much water flows over Niagara Falls in one second?
14) Write each rate as a unit rate.
a. 18 eggs laid in 3 days _____________________
b. 216 apples growing on 9 trees ___________________
c. 84 mm in 4 seconds ____________________
*I can find the unit rate in order to compare 2 rates. Use a t-chart! Write
proportions with variables!
15) Which is a better deal, buying 6 boxes of candy for $3.90 or 24 boxes for
$16.80?
15) On some days, the temperature changes quickly. On Monday the
temperature changes by 30 degrees in 6 hours. On Saturday the temperature
changes by 44 degrees in 10 hours. On which day did the temperature change
at a quicker rate?
*I can solve proportions. I can use ratio tables or unit rate to solve proportions.
16) First, write a proportion with a variable. Then, solve for the missing part in
the ratio. Show your work!
a. Angela is helping her
father paint a fence.
She can paint 3
sections of the fence
in 38 minutes. How
many minutes will it
take Angela to paint
12 sections of the
fence?
b. Bob earns $5 each
day delivering
newspapers. He
saves $3 and spends
the rest. If he saved
$27 in a month, how
much money did he
earn? How much
money did he spend?
c. The Picnic Basket
sells 60 soups for
every 96 sandwiches.
At this rate, how
many soups will be
solve for every 32
sandwiches?
d. Jacob is getting ready
for track season. He
did 39 sit-ups in 30
seconds. How many
sit-ups can he do in
50 seconds?
*I can use the formula for distance to solve for distance, rate, or time.
17) Write the formula for distance.
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18)
a. If a car travels 12 miles in 2 hours,
how fast was the car going?
b. It takes you 16 mins to get to your
friends house. Your mom drives at 25
miles per hour the whole time. How
far away is your friends house?
c. Claire averages a speed of 15 miles
per hour on her bicycle. How far will
she travel in 2.5 hours?