PSAT/NMSQT Math: Problem and Data Analysis 3

Question 1

A line on a scatterplot has slope 2 and passes through (0, 3). What is the predicted y-value when x = 4?

Accepted Answer

11

Answer

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?

Accepted Answer

1/2

Answer

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?

Accepted Answer

20%

Answer

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?

Accepted Answer

$4.00

Answer

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?

Accepted Answer

18

Answer

The range is the maximum minus the minimum: 25 − 7 = 18.

PSAT/NMSQT Practice Test