PSAT/NMSQT Math: Problem and Data Analysis 3 — Questions and Answers
Question 1: A line on a scatterplot has slope 2 and passes through (0, 3). What is the predicted y-value when x = 4?
- 8
- 9
- 11 (Correct answer)
- 14
Correct answer: 11
Using y = 2x + 3, when x = 4, y = 8 + 3 = 11.
Question 2: A bag has 3 red, 5 blue, and 2 green marbles. What is the probability of drawing a blue marble?
- 1/5
- 1/2 (Correct answer)
- 3/10
- 5/10
Correct answer: 1/2
There are 5 blue out of 10 total, so the probability is 5/10 = 1/2.
Question 3: A population grows from 1,000 to 1,200 over one year. What is the growth rate?
- 12%
- 15%
- 20% (Correct answer)
- 25%
Correct answer: 20%
The increase of 200 divided by 1,000 equals 0.20, or 20%.
Question 4: If 3 pencils cost $1.50, how much do 8 pencils cost at the same rate?
- $3.20
- $3.50
- $4.00 (Correct answer)
- $4.50
Correct answer: $4.00
Each pencil costs $0.50, so 8 pencils cost 8 × $0.50 = $4.00.
Question 5: The range of the data set 12, 18, 7, 25, 14 is what value?
- 13
- 18 (Correct answer)
- 25
- 32
Correct answer: 18
The range is the maximum minus the minimum: 25 − 7 = 18.
Question 6: A class of 30 students has a 3:2 ratio of girls to boys. How many girls are there?
- 12
- 15
- 18 (Correct answer)
- 20
Correct answer: 18
The 5 parts total 30, so each part is 6; girls = 3 × 6 = 18.
Question 7: A box of cereal contains 18 servings. If a family eats 3 servings per day, how many full days will the box last?
- 5
- 6 (Correct answer)
- 7
- 9
Correct answer: 6
18 ÷ 3 = 6 days.
PSAT/NMSQT Math: Problem and Data Analysis 3
A line on a scatterplot has slope 2 and passes through (0, 3).
What is the predicted y-value when x = 4?