CHSPE Mathematics - Measurement and Geometry 3

Question 1

What is the volume of a cylinder with a radius of 3 inches and a height of 10 inches? (Use π ≈ 3.14)

Accepted Answer

282.6 cubic inches

Answer

Volume of a cylinder = πr²h = 3.14 × 9 × 10 = 282.6 cubic inches.

Question 2

On a map, 1 inch represents 50 miles. If two cities are 3.5 inches apart on the map, how far apart are they in real life?

Accepted Answer

175 miles

Answer

Using the scale: 3.5 × 50 = 175 miles between the two cities.

Question 3

How many sides does a regular hexagon have, and what is the sum of its interior angles?

Accepted Answer

6 sides; 720°

Answer

A hexagon has 6 sides, and the sum of interior angles = (6 − 2) × 180° = 720°.

Question 4

A square has an area of 49 square feet. What is the length of one of its sides?

Accepted Answer

7 feet

Answer

Area of a square = side², so side = √49 = 7 feet.

Question 5

A room is 15 feet long and 12 feet wide. How many square yards of carpet are needed to cover the floor? (1 yard = 3 feet)

Accepted Answer

20 square yards

Answer

Convert dimensions to yards: 15÷3 = 5 yd and 12÷3 = 4 yd; Area = 5 × 4 = 20 square yards.

CHSPE - California High School Proficiency Examination Practice Test