PSAT/NMSQT Mathematical Problem Solving 2

Question 1

A store sells notebooks at 3 for $4.50. At this rate, how much do 10 notebooks cost?

Accepted Answer

$15.00

Answer

Each notebook costs $1.50, so 10 cost $15.00.

Question 2

If 5x - 7 = 3x + 9, what is the value of x?

Accepted Answer

8

Answer

Subtract 3x and add 7: 2x = 16, so x = 8.

Question 3

A recipe needs 2 cups of flour for 12 cookies. How many cups are needed for 30 cookies?

Accepted Answer

5 cups

Answer

The ratio 2/12 scales to 5/30, so 5 cups are needed.

Question 4

What is 35% of 80?

Accepted Answer

28

Answer

0.35 × 80 = 28.

Question 5

The mean of four numbers is 15. If three of them are 12, 18, and 10, what is the fourth?

Accepted Answer

20

Answer

The total must be 60; 60 - 40 = 20.

PSAT/NMSQT Practice Test