PARCC - Partnership for Assessment of Readiness for College and Careers Geometry Practice Test 1 — Questions and Answers
Question 1: A right triangle has legs measuring 8 cm and 15 cm. What is the length of the hypotenuse?
- 17 cm (Correct answer)
- 19 cm
- 23 cm
- 16 cm
Correct answer: 17 cm
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?
- 180 cm³ (Correct answer)
- 160 cm³
- 200 cm³
- 144 cm³
Correct answer: 180 cm³
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?
- 68° (Correct answer)
- 78°
- 58°
- 48°
Correct answer: 68°
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)
- 43.96 cm (Correct answer)
- 49.00 cm
- 21.98 cm
- 153.86 cm
Correct answer: 43.96 cm
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?
- 10 units (Correct answer)
- 8 units
- 12 units
- 6 units
Correct answer: 10 units
Using the distance formula: √((8−2)² + (11−3)²) = √(36 + 64) = √100 = 10 units.
Question 6: An equilateral triangle has a perimeter of 39 cm. What is the length of one side?
- 13 cm (Correct answer)
- 11 cm
- 15 cm
- 9 cm
Correct answer: 13 cm
An equilateral triangle has three equal sides. One side = 39 ÷ 3 = 13 cm.
PARCC - Partnership for Assessment of Readiness for College and Careers Geometry Practice Test 1
A right triangle has legs measuring 8 cm and 15 cm.
What is the length of the hypotenuse?