CAHSEE Measurement and Geometry 4

Question 1

A square has a perimeter of 48 cm. What is its area?

Accepted Answer

144 cm²

Answer

Each side = 48 ÷ 4 = 12 cm; Area = 12² = 144 cm².

Question 2

In coordinate geometry, what is the midpoint of the segment connecting (−4, 2) and (6, −8)?

Accepted Answer

(1, −3)

Answer

Midpoint = ((−4+6)/2, (2+(−8))/2) = (2/2, −6/2) = (1, −3).

Question 3

A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

150.72 cm³

Answer

Volume of a cone = (1/3)πr²h = (1/3)(3.14)(16)(9) = (1/3)(452.16) = 150.72 cm³.

Question 4

An angle measures 128°. What is the measure of its complement?

Accepted Answer

Complementary angles cannot be formed

Answer

Complementary angles must sum to 90°, but 128° > 90°, so no complement exists.

Question 5

A map has a scale of 2 cm : 50 km. Two cities are 7 cm apart on the map. What is the actual distance between them?

Accepted Answer

175 km

Answer

Each cm represents 25 km, so 7 cm × 25 km/cm = 175 km.

CAHSEE - California High School Exit Examination Practice Test