PARCC - Partnership for Assessment of Readiness for College and Careers Geometry Practice Questions 1 — Questions and Answers
Question 1: What is the perimeter of a rectangle with a length of 12 cm and a width of 7 cm?
- 19 cm
- 38 cm (Correct answer)
- 84 cm
- 26 cm
Correct answer: 38 cm
The perimeter of a rectangle is calculated using P = 2(l + w) = 2(12 + 7) = 2(19) = 38 cm.
Question 2: A square has a side length of 9 inches. What is its area?
- 36 square inches
- 18 square inches
- 72 square inches
- 81 square inches (Correct answer)
Correct answer: 81 square inches
The area of a square is s² = 9² = 81 square inches.
Question 3: What is the volume of a cube with a side length of 4 cm?
- 16 cubic cm
- 48 cubic cm
- 64 cubic cm (Correct answer)
- 24 cubic cm
Correct answer: 64 cubic cm
The volume of a cube is s³ = 4³ = 64 cubic cm.
Question 4: A right triangle has legs measuring 6 cm and 8 cm. What is the length of the hypotenuse?
- 10 cm (Correct answer)
- 14 cm
- 7 cm
- 12 cm
Correct answer: 10 cm
Using the Pythagorean theorem: c² = a² + b² = 6² + 8² = 36 + 64 = 100, so c = 10 cm.
Question 5: What is the area of a circle with a diameter of 10 inches? (Use π ≈ 3.14)
- 31.4 square inches
- 78.5 square inches (Correct answer)
- 314 square inches
- 62.8 square inches
Correct answer: 78.5 square inches
The radius is half the diameter: r = 5 inches. Area = πr² = 3.14 × 5² = 3.14 × 25 = 78.5 square inches.
Question 6: Two parallel lines are cut by a transversal. One of the co-interior (same-side interior) angles measures 65°. What is the measure of the other co-interior angle?
- 65°
- 25°
- 115° (Correct answer)
- 130°
Correct answer: 115°
Co-interior angles (also called consecutive interior angles) are supplementary, meaning they add up to 180°. So the other angle = 180° − 65° = 115°.
PARCC - Partnership for Assessment of Readiness for College and Careers Geometry Practice Questions 1
What is the perimeter of a rectangle with a length of 12 cm and a width of 7 cm?