Ratios
Rates
Problem Solving
Models
Review
100
The ratio that compares the number of squares to the number of circles in three different ways.
What is 3:4, 3 to 4, and 3 squares to 4 circles, or 3/4.
100
Find the unit rate. 20 emails in 5 minutes.
What is 4 emails per minute.
100
Barbara bought 5 amusement park tickets at a cost of $30. If she bought 7 tickets, how much would it cost?
$42.00
100
Draw a simplified ratio of 20 moons to 15 stars.
4 to 3
100
Name the distance in units from 6 to -6.
12 units
200
The ratio is 4:9
What is the ratio of circles to total number of shapes.
200
Lily drove 135 miles in 3 hours. how far did she drive in one hour?
45 miles.
200
A restaurant makes vegetable soup using 22 cups of mixed vegetables and 15 cups of stock. Henri tries to make this at home with 5 cups of mixed vegetables and 10 cups of stock. Is Henri using the correct ratio? Explain.
No, the rates are not the same. 22 to 15 is not equivalent to 5 to 10.
200
Draw a simplified ratio of 30 parts yellow paint to 18 parts blue paint.
5 to 3.
200
Logan deposited 22 dollars on Monday, withdrew 10 dollars on Tuesday, and deposited 5 dollars on Wednesday. Write a number sentence to represent the change in bank account.
22-10+5=
300
The Ratio of protein to fiber in three batches of granola bars is 9/3. The ratio in a single batch is ____?
What is 3/1.
300
Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour?
7.5 pages/hour for $20.
300
Cafe A offers 2 free bottled waters or juices for every 20 purchased. Cafe B offers 3 free bottled waters or juices for every 25 purchased.
a. What is Cafe A’s ratio of free drinks to purchased drinks?
b. What is Cafe B’s ratio of free drinks to purchased drinks?
c. If you purchased 50 drinks at each café, how many free drinks would you get?
a. 2/20 or 1/10
b. 3/25
c. Cafe A: 5; Cafe B: 6
300
Draw the ratio of 84 squares to 66 circles in simplest form.
14 to 11
300
Greatest common factor of 60 and 72.
12.
400
Which is not equivalent to the other three?
A.)4:3
B.)16/12
C.)21 to 15
D.)24:18
What is C.) 21 to 15
400
Morgan’s favorite spaghetti sauce is available in two sizes: pint and quart.
Pint: $3.98 for 16 oz
Quart: $5.98 for 32 oz
What is the unit rate to the nearest cent per ounce for each size?
pint: ___________________________
quart: ___________________________
Pint: $0.25/ounce
Quart: $0.19/ounce
400
A school cafeteria makes cheese sauce for macaroni using 15 cups of Swiss cheese and 18 cups of cheddar cheese. Perry tries to make the sauce for a family party using 5 cups of Swiss and 6 cups of cheddar. Is Perry using the correct ratio? Explain.
Yes, because they are equivalent ratios.
400
Draw a ratio of 126 triangles to 98 circles in simplest form
9 triangle to 7 circles
400
Least common multiple of 12 and 30.
60
500
The ratio of clown fish to angelfish at a pet store is 5:4. The ratio of angelfish to goldfish is 4:3. There are 60 clown fish at the pet store.
a. How many angelfish are there? _________________
b. How many goldfish are there? _________________
48 angelfish and 36 goldfish.
500
Find the unit rate to compare the two drivers.
Jason drives 180 miles in 4 hours and Ali drives 90 miles in 1.7 hours.
Jason: ___________________________
Ali: ___________________________
Who is the faster driver.
45 mph; 52.9 mph; Ali
500
An appliance store sells lamps at $95.00 for two. A department store sells similar lamps at five for $250.00. Which store sells at a better rate? How much better?
Appliance Store; $2.50 per lamp
500
Draw the ratio of 128 cats to 160 dogs in simplest form.
4 to 5
500
At the market, 2.4 pounds of carrots cost $1.68 and 1.8 pounds of broccoli cost $1.53. How much more does 1 pound of broccoli cost than 1 pound of carrots?
$0.15