Proportional Reasoning and Ratios

Multiple Choice

What are the 3 ways to write a ratio?

• fraction, comma, colon

• fraction, colon, the word to

• colon, comma, equation

• fraction, decimal, percent

Multiple Choice

A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 3 gallons per 6 days. At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel?

• 100
• 120
• 30
• 300

Multiple Choice

The Martin family's truck gets an average of 25 miles per gallon. Predict how many miles they can drive on 7 gallons. 

• 20
• 125
• 35
• 175

Multiple Choice

A box hold 20 marbles. There are 13 green marbles and the rest are yellow. What is the ratio of yellow marbles to green marbles.

• 20 to 13

• 7 to 13

• 13 to 7

• 33 to 13

Multiple Choice

Joseph went to a farm with 23 animals. 9 were goats, 6 were sheep, and the rest were dogs. What is the ratio of dogs to goats?

• $$\frac{23}{9}$$

• $$\frac{9}{23}$$

• $$\frac{8}{9}$$

• $$\frac{6}{9}$$

Multiple Select

Select all options that are equal to 18 to 24

• 24 to 18

• 3 to 4

• 9 to 12

• 36 to 48

Multiple Choice

At Massaponax High School 14 out of 35 students in Art Club are sophomores. Write this ratio in lowest terms.

• 2 to 5

• 5 to 2

• 14 to 35

• 35 to 14

Multiple Select

A bag has yellow and blue candy. The ratio of yellow candy to blue candy is 2:3. Select each option that could represent the number of yellow and blue candy in the bag.

• 20:30

• 6:4

• 4:6

• 6:9

Fill in the Blank

The ratio of nickels to dimes is 7 to 3. There are 42 dimes. How many nickels are there?

Fill in the Blank

Every 2 days, Jimmy James jogs 8 miles. How many miles does he jog in 10 days?

Multiple Choice

Tracey ran 1,000 meters in 5 minutes. How many meters did she run in a minute?

• 0.005 meters in a minute

• 5,000 meters in a minute

• 200 meters in a minute

Multiple Choice

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

• 16 customers per hour

• 12 customers per hour

• 20 customers per hour

• 15 customers per hour

Multiple Choice

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

• 16 customers

• 10.5 customers

• 7.5 customers

• 14 customers

Multiple Choice

3 pounds of apples cost $3.84. At that price, how much will 5 pounds cost?

• $6.40

• $1.28

• $5.50

• $6.85

Multiple Choice

Emma, Anika, and Zoe are planning a bubble gum blowing contest! They found a candy store that sells 3 packs of bubble gum for $12.57. They want to make sure they have enough gum for the contest, so they plan to buy 12 packs. Can you help them figure out how much it would cost?

• $50.28

• $37.71

• $45.14

• $42.57

Multiple Choice

Imagine Benjamin, Daniel, and Liam are on a shopping spree. They find a cool clothing store that sells 3 trendy scarves for $14.13. If they decide to buy 7 scarves to gift their friends, how much would they end up spending?

• $27.75

• $35.49

• $29.13

• $32.97

Multiple Choice

Isla, Sophia, and Kai are planning a fun day out and they found a shoe store that sells 2 pairs of shoes for $25.10. They decided to buy shoes for their entire group of 9. Can you help them calculate how much it would cost to buy 9 pairs of shoes?

• $112.95

• $113.80

• $110.45

• $114.60

Multiple Choice

Grace, William, and Aria are planning a fun apple-picking trip! They found out that a grocery store sells 4 apples for $2.40. If they want to buy 10 apples for their picnic, how much would it cost?

• $6.00

• $5.50

• $6.50

• $5.00

Multiple Choice

Anika, Avery, and Abigail are having a bake sale! They found out that 5 loaves of their delicious bread cost $15.75. Can you help them figure out how much would it cost to buy 8 loaves of their bread?

• $25.20

• $24.00

• $26.40

• $23.00

Multiple Choice

An airplane travels 1632 miles in 6 hours. How many miles does the plane travel per hour?

• 272 mph

• 831 mph

• 9792 mph

• 138 mph

Proportional and non-proportional Relationships

Proportion

A proportion is two ratios set equal to one another. Proportions can help solve questions about scales of size or distance, such as a map or model. It is important that the placement of the known quantities in both ratios makes sense in proportions.

Non-Proportional

Non-proportional means "not proportional" indicating a relationship between two quantities where their ratio is not constant.

Their input and output values are not constant.

Multiple Choice

Which statement best describes the relationship between x and y in the table?

• Proportional
• Not Proportional

Multiple Choice

Does the table represent a proportional relationship?

• Yes.
• No.

Multiple Choice

The following fractions are proportional:

$$\frac{6}{4}\ \ \ \ \frac{9}{6}\ \ \ \ \ \frac{12}{8}\ \ \ \ \frac{3}{2}$$  

• True

• False

Multiple Choice

Is this table proportional?

• Yes
• No

Multiple Choice

Solve for x 

• x = 1/10
• x = 10
• x = 4
• x = 5

Multiple Choice

Solve for x 

• x = 16
• x = 28
• x = 1/26
• x = 26

Multiple Choice

Using the photo above, how many arms would be needed to make 8 monsters?

• 24

• 12

• 8

• 16

Multiple Choice

If I were making monsters based on the one above, how many mouths would I need if I had 18 tentacles?

• 6

• 4

• 12

• 18