Rise Placement Test Quantitative Reasoning 3 — Questions and Answers
Question 1: A recipe calls for 2.5 cups of flour to make 24 cookies. How many cups of flour are needed to make 60 cookies?
- 5.5
- 6
- 6.25 (Correct answer)
- 7
Correct answer: 6.25
Rate = 2.5/24; for 60 cookies: (2.5/24) × 60 = 150/24 = 6.25 cups.
Question 2: The table below shows test scores: 72, 85, 90, 88, 72, 95, 72. What is the mode?
- 72 (Correct answer)
- 85
- 88
- 90
Correct answer: 72
The mode is the value that appears most often; 72 appears three times.
Question 3: Which inequality represents all values of x where −3x + 7 > 16?
- x > −3
- x < −3 (Correct answer)
- x > 3
- x < 3
Correct answer: x < −3
−3x > 9; dividing by −3 and flipping the inequality: x < −3.
Question 4: A car travels 270 miles in 4.5 hours. At the same rate, how many minutes will it take to travel 90 miles?
- 60
- 75
- 80
- 90 (Correct answer)
Correct answer: 90
Speed = 270/4.5 = 60 mph; time = 90/60 = 1.5 hours = 90 minutes.
Question 5: A scatter plot shows a strong negative correlation. Which statement best describes the relationship?
- As x increases, y increases
- As x increases, y decreases (Correct answer)
- x and y are unrelated
- y is constant regardless of x
Correct answer: As x increases, y decreases
A negative correlation means that as x increases, y tends to decrease.
Question 6: What is the value of 4³ − (2² × 3)?
- 44
- 52 (Correct answer)
- 52
- 52
Correct answer: 52
4³ = 64; 2² = 4; 4 × 3 = 12; 64 − 12 = 52.
Question 7: A population of bacteria doubles every 3 hours. If there are 500 bacteria initially, how many will there be after 12 hours?
- 2,000
- 4,000
- 8,000 (Correct answer)
- 16,000
Correct answer: 8,000
12 hours = 4 doubling periods; 500 × 2⁴ = 500 × 16 = 8,000.
Rise Placement Test Quantitative Reasoning 3
A recipe calls for 2.5 cups of flour to make 24 cookies.
How many cups of flour are needed to make 60 cookies?