CHSPE Geometry 5

Question 1

A cone has a radius of 5 cm and a height of 12 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

314 cm³

Answer

V = (1/3)πr²h = (1/3) × 3.14 × 25 × 12 = 314 cm³.

Question 2

On a coordinate plane, which quadrant contains the point (−3, 5)?

Accepted Answer

Quadrant II

Answer

Negative x and positive y places the point in Quadrant II.

Question 3

A polygon has 8 sides. What is the sum of its interior angles?

Accepted Answer

1080°

Answer

Sum = (n − 2) × 180 = (8 − 2) × 180 = 6 × 180 = 1080°.

Question 4

What is the area of a trapezoid with parallel sides of 6 cm and 10 cm and a height of 4 cm?

Accepted Answer

32 cm²

Answer

Area = ½ × (b₁ + b₂) × h = ½ × (6 + 10) × 4 = 32 cm².

Question 5

A point is reflected across the x-axis. If the original point is (4, −3), what is the image?

Accepted Answer

(4, 3)

Answer

Reflecting across the x-axis negates the y-coordinate: (4, −3) → (4, 3).

California High School Proficiency Exam Practice Test