PSAT/NMSQT Geometry & Measurement 3

Question 1

Triangle ABC is similar to triangle DEF. If AB = 4, DE = 12, and BC = 6, what is EF?

Accepted Answer

18

Answer

The scale factor is 12/4 = 3, so EF = 6 × 3 = 18.

Question 2

What is the area of a circle with radius 3? (Use π.)

Accepted Answer

9π

Answer

Area = πr² = π × 3² = 9π.

Question 3

A cylinder has radius 2 and height 5. What is its volume? (Use π.)

Accepted Answer

20π

Answer

Volume = πr²h = π × 4 × 5 = 20π.

Question 4

A 30-60-90 triangle has its shortest side equal to 5. What is the hypotenuse?

Accepted Answer

10

Answer

In a 30-60-90 triangle the hypotenuse is twice the shortest side, so 2 × 5 = 10.

Question 5

The sum of the interior angles of a pentagon is what?

Accepted Answer

540°

Answer

Interior angle sum = (n − 2) × 180° = 3 × 180° = 540°.

PSAT/NMSQT Practice Test