CAST Aptitude 4

Question 1

A rectangle is 9 feet by 12 feet. What is its area?

Accepted Answer

108 sq ft

Answer

9 x 12 = 108 square feet.

Question 2

When a wrench handle is made longer, the torque applied to a bolt:

Accepted Answer

Increases

Answer

Torque equals force times distance, so a longer handle increases torque.

Question 3

A recipe of concrete uses a 1:2:3 ratio of cement, sand, gravel. In 18 buckets total, how many are gravel?

Accepted Answer

9

Answer

Ratio totals 6 parts; gravel is 3/6, so 3/6 x 18 = 9 buckets.

Question 4

Convert 0.75 to a fraction in lowest terms.

Accepted Answer

3/4

Answer

0.75 equals 75/100, which reduces to 3/4.

Question 5

A ladder leans against a wall. To make it more stable, you should:

Accepted Answer

Move the base closer in slightly for a safe angle

Answer

A roughly 75-degree angle (about a 4:1 ratio) gives the safest, most stable setup.

CAST Test Practice Test