PSAT/NMSQT Mathematical Problem Solving 3

Question 1

A car travels 150 miles in 3 hours. At the same speed, how far does it go in 5 hours?

Accepted Answer

250 miles

Answer

Speed is 50 mph, so 50 × 5 = 250 miles.

Question 2

Solve for y: 3(y + 4) = 27.

Accepted Answer

5

Answer

Divide by 3: y + 4 = 9, so y = 5.

Question 3

A right triangle has legs of length 6 and 8. What is the hypotenuse?

Accepted Answer

10

Answer

√(36 + 64) = √100 = 10.

Question 4

If 2 pounds of apples cost $3.60, what is the cost per pound?

Accepted Answer

$1.80

Answer

$3.60 ÷ 2 = $1.80 per pound.

Question 5

What is the value of 2³ + 4²?

Accepted Answer

24

Answer

8 + 16 = 24.

PSAT/NMSQT Practice Test