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TSI ASSESSMENT PRACTICE EXAM WITH VERIFIED
ANSWERS DETAILED RATIONALES GRADED A+
TSI Assessment Practice
SECTION 1: MATHEMATICS — QUANTITATIVE REASONING (Questions 1–50)
Question 1.
A map shows that every 1 mile is represented by 3 centimeters. How many centimeters would
8 miles be on the map?
A) 24 cm
B) 3/8 cm
C) 12 cm
D) 3 cm
Correct Answer: A
Rationale: Set up a proportion: 1 mile / 3 cm = 8 miles / x cm. Cross-multiply: 1x = 24, so x = 24
cm. Each mile equals 3 centimeters, so 8 miles × 3 cm/mile = 24 cm.
Question 2.
In a recent study, the ratio of dog to cat owners was 5 to 4. If there are a total of 180 pet
owners in the study, how many own dogs?
A) 80
B) 60
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C) 100
D) 120
Correct Answer: C
Rationale: The ratio 5:4 means 5 parts dog owners and 4 parts cat owners, totaling 9 parts. 180
÷ 9 = 20 per part. Dog owners = 5 × 20 = 100.
Question 3.
A rectangular photo has a width of 5 inches and a length of 7 inches. If the width is enlarged
to 12 inches, what is the new length?
A) 35/12 inches
B) 84/5 inches
C) 8 inches
D) 12 inches
Correct Answer: B
Rationale: Set up a proportion: 5/7 = 12/x. Cross-multiply: 5x = 84, so x = 84/5 = 16.8 inches.
The new length is 84/5 inches.
Question 4.
A recipe requires 2 cups of flour for every 1/8 cup of sugar. If you use 1 cup of sugar, how
many cups of flour are used?
A) 4 cups
B) 16 cups
C) 12 cups
D) 8 cups
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Correct Answer: B
Rationale: The ratio is 2 cups flour : 1/8 cup sugar. To find flour for 1 cup sugar, set up: 2 / (1/8)
= x / 1. Cross-multiply: (1/8)x = 2, so x = 16 cups.
Question 5.
If Mary runs at a rate of 4 miles per hour, how many minutes does it take her to run 12 miles?
A) 120 min
B) 240 min
C) 30 min
D) 180 min
Correct Answer: D
Rationale: Time = distance ÷ rate = 12 miles ÷ 4 mph = 3 hours. Convert to minutes: 3 × 60 = 180
minutes.
Question 6.
A store sells a shirt for $25. If the store offers a 20% discount, what is the sale price of the
shirt?
A) $5
B) $20
C) $22
D) $15
Correct Answer: B
Rationale: Discount = 20% of $25 = 0.20 × 25 = $5. Sale price = $25 − $5 = $20.
Question 7.
A car travels 240 miles on 8 gallons of gas. What is the car's fuel efficiency in miles per gallon?
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A) 30 mpg
B) 32 mpg
C) 28 mpg
D) 35 mpg
Correct Answer: A
Rationale: Fuel efficiency = total miles ÷ total gallons = 240 ÷ 8 = 30 miles per gallon.
Question 8.
If 15% of a number is 45, what is the number?
A) 200
B) 300
C) 250
D) 350
Correct Answer: B
Rationale: Let x be the number. 0.15x = 45. Divide both sides by 0.15: x = 45 ÷ 0.15 = 300.
Question 9.
A worker earns $18 per hour and works 35 hours per week. What is the worker's gross weekly
pay?
A) $530
B) $630
C) $580
D) $600
Correct Answer: B
Rationale: Gross pay = hourly rate × hours worked = $18 × 35 = $630.
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TSI ASSESSMENT PRACTICE EXAM WITH VERIFIED
ANSWERS DETAILED RATIONALES GRADED A+
TSI Assessment Practice
SECTION 1: MATHEMATICS — QUANTITATIVE REASONING (Questions 1–50)
Question 1.
A map shows that every 1 mile is represented by 3 centimeters. How many centimeters would
8 miles be on the map?
A) 24 cm
B) 3/8 cm
C) 12 cm
D) 3 cm
Correct Answer: A
Rationale: Set up a proportion: 1 mile / 3 cm = 8 miles / x cm. Cross-multiply: 1x = 24, so x = 24
cm. Each mile equals 3 centimeters, so 8 miles × 3 cm/mile = 24 cm.
Question 2.
In a recent study, the ratio of dog to cat owners was 5 to 4. If there are a total of 180 pet
owners in the study, how many own dogs?
A) 80
B) 60
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C) 100
D) 120
Correct Answer: C
Rationale: The ratio 5:4 means 5 parts dog owners and 4 parts cat owners, totaling 9 parts. 180
÷ 9 = 20 per part. Dog owners = 5 × 20 = 100.
Question 3.
A rectangular photo has a width of 5 inches and a length of 7 inches. If the width is enlarged
to 12 inches, what is the new length?
A) 35/12 inches
B) 84/5 inches
C) 8 inches
D) 12 inches
Correct Answer: B
Rationale: Set up a proportion: 5/7 = 12/x. Cross-multiply: 5x = 84, so x = 84/5 = 16.8 inches.
The new length is 84/5 inches.
Question 4.
A recipe requires 2 cups of flour for every 1/8 cup of sugar. If you use 1 cup of sugar, how
many cups of flour are used?
A) 4 cups
B) 16 cups
C) 12 cups
D) 8 cups
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Correct Answer: B
Rationale: The ratio is 2 cups flour : 1/8 cup sugar. To find flour for 1 cup sugar, set up: 2 / (1/8)
= x / 1. Cross-multiply: (1/8)x = 2, so x = 16 cups.
Question 5.
If Mary runs at a rate of 4 miles per hour, how many minutes does it take her to run 12 miles?
A) 120 min
B) 240 min
C) 30 min
D) 180 min
Correct Answer: D
Rationale: Time = distance ÷ rate = 12 miles ÷ 4 mph = 3 hours. Convert to minutes: 3 × 60 = 180
minutes.
Question 6.
A store sells a shirt for $25. If the store offers a 20% discount, what is the sale price of the
shirt?
A) $5
B) $20
C) $22
D) $15
Correct Answer: B
Rationale: Discount = 20% of $25 = 0.20 × 25 = $5. Sale price = $25 − $5 = $20.
Question 7.
A car travels 240 miles on 8 gallons of gas. What is the car's fuel efficiency in miles per gallon?
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A) 30 mpg
B) 32 mpg
C) 28 mpg
D) 35 mpg
Correct Answer: A
Rationale: Fuel efficiency = total miles ÷ total gallons = 240 ÷ 8 = 30 miles per gallon.
Question 8.
If 15% of a number is 45, what is the number?
A) 200
B) 300
C) 250
D) 350
Correct Answer: B
Rationale: Let x be the number. 0.15x = 45. Divide both sides by 0.15: x = 45 ÷ 0.15 = 300.
Question 9.
A worker earns $18 per hour and works 35 hours per week. What is the worker's gross weekly
pay?
A) $530
B) $630
C) $580
D) $600
Correct Answer: B
Rationale: Gross pay = hourly rate × hours worked = $18 × 35 = $630.
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