PSAT/NMSQT Math 3

Question 1

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

Accepted Answer

10

Answer

√(6² + 8²) = √100 = 10.

Question 2

If x² = 49, which is a possible value of x?

Accepted Answer

7 or −7

Answer

Both 7 and −7 squared equal 49.

Question 3

A car travels 150 miles in 3 hours. What is its average speed in miles per hour?

Accepted Answer

50

Answer

150 ÷ 3 = 50 mph.

Question 4

What is the median of the data set 4, 8, 6, 10, 2?

Accepted Answer

6

Answer

Ordered: 2, 4, 6, 8, 10; the middle value is 6.

Question 5

If 5x − 2 = 3x + 8, what is x?

Accepted Answer

5

Answer

Subtract 3x and add 2: 2x = 10, so x = 5.

PSAT/NMSQT Practice Test