MPT Geometry

Question 1

What is the area of a triangle with base 10 and height 6?

Accepted Answer

30

Answer

Area of a triangle = (1/2) × base × height = (1/2) × 10 × 6 = 30.

Question 2

A right triangle has legs of length 5 and 12. What is the length of the hypotenuse?

Accepted Answer

13

Answer

By the Pythagorean theorem, c² = 5² + 12² = 25 + 144 = 169, so c = 13.

Question 3

What is the circumference of a circle with radius 7? (Use π ≈ 3.14)

Accepted Answer

43.96

Answer

Circumference = 2πr = 2 × 3.14 × 7 = 43.96.

Question 4

Two angles of a triangle measure 45° and 75°. What is the measure of the third angle?

Accepted Answer

60°

Answer

The sum of angles in a triangle is 180°, so the third angle = 180° − 45° − 75° = 60°.

Question 5

What is the area of a circle with diameter 10? (Use π ≈ 3.14)

Accepted Answer

78.5

Answer

Radius = 5, so area = πr² = 3.14 × 25 = 78.5.

(MPT) UCF Math Placement Test Practice Test