ATI TEAS Guide To Math  Ratios & Proportions Question Review
ATI TEAS Math Ratios and Proportions
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Quiz for ATI TEAS MATH REVIEW SERIES
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Question 1 of 8
1. Question
A sleepaway camp had 120 campers last year divided evenly into 8 squads. This year, the number of campers will rise to 165. If each squad has the same number of students as last year, how many squads will camp have this year?
Correct
Create a proportion using two ratios. The first ratio is the number of campers to campers to squads last year: 120 campers / 8 squads. The second ratio is the number of campers to squads this year: 165 campers / ? squads . Set the ratios equal to each other:
120 campers / 8 squads = 165 campers / ? squadsUsing the letter s to represent the missing number of squads:
120 campers / 8 squads = 165 campers / sCross multiply to solve for s, the missing number of squads:
120/8 = 165/s
120s = 165 x 8
120s = 1,320
s = 1,320/120
s = 11This year, the camp will have 11 squads.
Incorrect
Create a proportion using two ratios. The first ratio is the number of campers to campers to squads last year: 120 campers / 8 squads. The second ratio is the number of campers to squads this year: 165 campers / ? squads . Set the ratios equal to each other:
120 campers / 8 squads = 165 campers / ? squadsUsing the letter s to represent the missing number of squads:
120 campers / 8 squads = 165 campers / sCross multiply to solve for s, the missing number of squads:
120/8 = 165/s
120s = 165 x 8
120s = 1,320
s = 1,320/120
s = 11This year, the camp will have 11 squads.

Question 2 of 8
2. Question
A model of a skyscraper is built according to a 1:2,000 scale. If the model skyscraper measures 30 centimeters in height, which of the following is the actual height of the skyscraper?
Correct
Create a proportion, setting the two ratios equal to each other:
1/2,000 = 30 centimeters / actual heightCross multiply to solve for h, the actual height:
1/2000 = 30 centimeters / h
1h = 2,000 x 30
h = 60,000The actual height of the skyscraper is 60,000 centimeters.
Incorrect
Create a proportion, setting the two ratios equal to each other:
1/2,000 = 30 centimeters / actual heightCross multiply to solve for h, the actual height:
1/2000 = 30 centimeters / h
1h = 2,000 x 30
h = 60,000The actual height of the skyscraper is 60,000 centimeters.

Question 3 of 8
3. Question
The scale on a trail map indicates that 1 centimeter on the map represents 10 miles. Lilah walks a distance of 12 miles on the trail. Which of the following represents the measure of that distance on the amp?
Correct
Create a proportion, setting the two ratios equal to each other:
1 centimeter / 10 miles = ? centimeters / 12 milesCross multiply to solve for c, the missing number of centimeters:
1/10 = c /12
10c = 1 x 12
10c = 12
c = 12/10
c = 1.2The measure of the distance on the amp is 1.2 centimeters.
Incorrect
Create a proportion, setting the two ratios equal to each other:
1 centimeter / 10 miles = ? centimeters / 12 milesCross multiply to solve for c, the missing number of centimeters:
1/10 = c /12
10c = 1 x 12
10c = 12
c = 12/10
c = 1.2The measure of the distance on the amp is 1.2 centimeters.

Question 4 of 8
4. Question
The families on a neighborhood block have 14 dogs and 20 cats altogether. What is the ratio of dogs to cats on the block?
Correct
The ratio of dogs to cats on the block is 14/20, which reduces to 7/10.
Incorrect
The ratio of dogs to cats on the block is 14/20, which reduces to 7/10.

Question 5 of 8
5. Question
An interior designer brings 16 textured fabric samples and 18 smooth fabric samples to a job site. What is the ratio of textured to smooth fabric samples that she brings?
Correct
The ratio of textured fabrics to smooth fabrics is 16/18, which reduces to 8/9.
Incorrect
The ratio of textured fabrics to smooth fabrics is 16/18, which reduces to 8/9.

Question 6 of 8
6. Question
Two hours into his hike, Isaac was at an altitude of 300 feet. Six hours into the hike, he was at an altitude of 900 feet. What is the average rate of change?
Correct
Set up the slope formula. The y values are the altitudes and the x values are the hours.
(900300) / (62) = 600/4 = 150Incorrect
Set up the slope formula. The y values are the altitudes and the x values are the hours.
(900300) / (62) = 600/4 = 150 
Question 7 of 8
7. Question
Find the rate of change in miles between Tuesday and Thursday using the information below.
Monday 2.3 miles, Tuesday 2.8 miles, Wednesday 1.9 miles, Thursday 4.6 miles, Friday 3.1 miles
Correct
Set up the slope formula. The y values are the miles walked on Tuesday and Thursday and the x values are the days (let Tuesday = day o and Thursday = day 2).
(4.62.8) / (20) = 1.8/2 = 0.9Incorrect
Set up the slope formula. The y values are the miles walked on Tuesday and Thursday and the x values are the days (let Tuesday = day o and Thursday = day 2).
(4.62.8) / (20) = 1.8/2 = 0.9 
Question 8 of 8
8. Question
A map contains a scale showing that every 1 inch on the map represents 12 kilometers. A cyclist wishes to travel a distance measuring 4 inches on the map. Which of the following represents the distance the cyclist will travel in kilometers?
Correct
Create a proportion, setting the two ratios equal to each other:
1 inch / 12 kilometers = 4 inches / ? kilometersCross multiply to solve for k, the missing number of kilometers:
1/12 = 4/k
1k = 12 x 4
k = 48The cyclist will travel 48 kilometers.
Incorrect
Create a proportion, setting the two ratios equal to each other:
1 inch / 12 kilometers = 4 inches / ? kilometersCross multiply to solve for k, the missing number of kilometers:
1/12 = 4/k
1k = 12 x 4
k = 48The cyclist will travel 48 kilometers.