PARCC - Partnership for Assessment of Readiness for College and Careers Geometry Practice Test 1

Question 1

A right triangle has legs measuring 8 cm and 15 cm. What is the length of the hypotenuse?

Accepted Answer

17 cm

Answer

Using the Pythagorean theorem: 8² + 15² = 64 + 225 = 289, and √289 = 17 cm.

Question 2

What is the volume of a rectangular prism with length 9 cm, width 4 cm, and height 5 cm?

Accepted Answer

180 cm³

Answer

Volume of a rectangular prism = length × width × height = 9 × 4 × 5 = 180 cm³.

Question 3

Two angles are supplementary. One angle measures 112°. What is the measure of the other angle?

Accepted Answer

68°

Answer

Supplementary angles sum to 180°. So the other angle = 180° − 112° = 68°.

Question 4

A circle has a radius of 7 cm. What is the approximate circumference? (Use π ≈ 3.14)

Accepted Answer

43.96 cm

Answer

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

Question 5

A line segment has endpoints at (2, 3) and (8, 11). What is the length of the segment?

Accepted Answer

10 units

Answer

Using the distance formula: √((8−2)² + (11−3)²) = √(36 + 64) = √100 = 10 units.

PARCC Practice Test