SATs Problem Solving & Data Interpretation 2 — Questions and Answers
Question 1: A store sells apples at a rate of 3 for $1.20. At this rate, what is the cost of 10 apples?
- $3.60
- $4.00 (Correct answer)
- $3.80
- $4.20
Correct answer: $4.00
Each apple costs $1.20 ÷ 3 = $0.40, so 10 apples cost $0.40 × 10 = $4.00.
Question 2: A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 9 hours?
- 1,500
- 2,000
- 4,000 (Correct answer)
- 4,500
Correct answer: 4,000
In 9 hours there are 3 doubling periods, so 500 × 2³ = 500 × 8 = 4,000.
Question 3: The mean of five numbers is 14. If four of the numbers are 10, 12, 16, and 18, what is the fifth number?
- 12
- 14 (Correct answer)
- 13
- 15
Correct answer: 14
The total sum must be 14 × 5 = 70; the four known numbers sum to 56, so the fifth is 70 − 56 = 14.
Question 4: A survey of 200 students found that 60% prefer online learning. How many students prefer online learning?
- 60
- 100
- 120 (Correct answer)
- 140
Correct answer: 120
200 × 0.60 = 120 students prefer online learning.
Question 5: A bag contains 4 red, 6 blue, and 10 green marbles. What is the probability of randomly selecting a blue marble?
- 3/10 (Correct answer)
- 1/5
- 2/5
- 3/20
Correct answer: 3/10
There are 6 blue marbles out of 4 + 6 + 10 = 20 total, so P(blue) = 6/20 = 3/10.
Question 6: A car travels 180 miles in 3 hours. At this same rate, how far will it travel in 5 hours?
- 270 miles
- 280 miles
- 300 miles (Correct answer)
- 360 miles
Correct answer: 300 miles
The speed is 180 ÷ 3 = 60 mph; in 5 hours the car travels 60 × 5 = 300 miles.
Question 7: Class A has test scores of 70, 75, 80, 85, and 90. Class B has scores of 60, 70, 80, 90, and 100. Which statement is true?
- Class A has a higher mean
- Class A has a higher median
- Class A has a smaller range (Correct answer)
- Class B has a smaller mean
Correct answer: Class A has a smaller range
Both classes have the same mean and median of 80, but Class A's range is 20 while Class B's range is 40.
SATs Problem Solving & Data Interpretation 2
A store sells apples at a rate of 3 for $1.20.
At this rate, what is the cost of 10 apples?