TSI Quantitative Reasoning 2 — Questions and Answers
Question 1: If a car travels 180 miles in 3 hours, what is its average speed?
- 45 mph
- 60 mph (Correct answer)
- 54 mph
- 72 mph
Correct answer: 60 mph
Average speed = distance ÷ time = 180 ÷ 3 = 60 mph.
Question 2: Which of the following numbers is irrational?
- √16
- √9
- √2 (Correct answer)
- 0.333…
Correct answer: √2
√2 ≈ 1.41421… is non-terminating and non-repeating, so it cannot be expressed as a ratio of integers.
Question 3: Simplify using order of operations: (3 + 4) × 2 − 6 ÷ 3
- 10
- 12 (Correct answer)
- 8
- 16
Correct answer: 12
Parentheses first: (3+4)=7; then multiply: 7×2=14; then divide: 6÷3=2; finally subtract: 14−2=12.
Question 4: A recipe calls for 2½ cups of flour. To make 1.5 times the recipe, how many cups are needed?
- 3 cups
- 3¾ cups (Correct answer)
- 3½ cups
- 4 cups
Correct answer: 3¾ cups
2.5 × 1.5 = 3.75 cups, which equals 3¾ cups.
Question 5: What is 5/8 expressed as a decimal?
- 0.58
- 0.625 (Correct answer)
- 0.60
- 0.65
Correct answer: 0.625
Dividing 5 by 8 gives 0.625.
Question 6: If x : y = 3 : 5 and y = 25, what is the value of x?
- 10
- 12
- 15 (Correct answer)
- 20
Correct answer: 15
Set up the proportion x/25 = 3/5; cross-multiply to get 5x = 75, so x = 15.
Question 7: Which expression represents the number 'three hundred forty-two thousandths'?
- 342,000
- 0.342 (Correct answer)
- 3.42
- 0.0342
Correct answer: 0.342
Thousandths means the denominator is 1,000, so three hundred forty-two thousandths = 342/1000 = 0.342.
TSI Quantitative Reasoning 2
If a car travels 180 miles in 3 hours, what is its average speed?