OAR OAR Math Skills: Geometry Questions and Answers 3

Question 1

The legs of a right triangle measure 9 and 12. What is the length of the hypotenuse?

Accepted Answer

15

Answer

By the Pythagorean theorem, c = sqrt(81 + 144) = sqrt(225) = 15.

Question 2

What is the area of a trapezoid with bases of 10 cm and 14 cm and a height of 6 cm?

Accepted Answer

72 sq cm

Answer

Area = (1/2)(b1 + b2)(h) = (1/2)(10 + 14)(6) = (1/2)(24)(6) = 72 sq cm.

Question 3

An arc subtends a central angle of 60 degrees in a circle of radius 12 cm. What is the arc length?

Accepted Answer

4pi cm

Answer

Arc length = (theta/360) x 2*pi*r = (60/360) x 24pi = 4pi cm.

Question 4

A cone has a radius of 5 cm and a slant height of 13 cm. What is its lateral surface area in terms of pi?

Accepted Answer

65pi sq cm

Answer

Lateral surface area = pi*r*l = pi*5*13 = 65pi sq cm.

Question 5

Two parallel lines are cut by a transversal. If one alternate interior angle measures 72 degrees, what does the other alternate interior angle measure?

Accepted Answer

72 degrees

Answer

Alternate interior angles formed by parallel lines and a transversal are congruent, so both measure 72 degrees.

OAR Test Practice Test

OAR Test Practice Test

OAR OAR Math Skills: Geometry Questions and Answers 3