CAHSEE Measurement and Geometry 5

Question 1

The length of a rectangle is three times its width. If the perimeter is 48 inches, what is the width?

Accepted Answer

6 inches

Answer

Let width = w; then 2(w + 3w) = 48 → 8w = 48 → w = 6 inches.

Question 2

A circle has an area of 78.5 cm². What is its radius? (Use π ≈ 3.14)

Accepted Answer

5 cm

Answer

Area = πr² → 78.5 = 3.14r² → r² = 25 → r = 5 cm.

Question 3

Triangle ABC has angles A = 45° and B = 75°. What is the measure of angle C?

Accepted Answer

60°

Answer

The sum of angles in a triangle is 180°; C = 180° − 45° − 75° = 60°.

Question 4

A figure is reflected across the y-axis. If a vertex was originally at (3, −2), where is the new vertex?

Accepted Answer

(−3, −2)

Answer

Reflecting across the y-axis negates the x-coordinate: (3, −2) → (−3, −2).

Question 5

A square pyramid has a square base with side length 6 m and a height of 8 m. What is its volume?

Accepted Answer

96 m³

Answer

Volume = (1/3) × base area × height = (1/3) × 36 × 8 = 96 m³.

CAHSEE - California High School Exit Examination Practice Test