ASTB-E ASTB-E Math & Mechanical Reasoning

Question 1

A pilot flies 240 miles in 2 hours. What is the aircraft's average speed?

Accepted Answer

120 mph

Answer

Average speed = distance ÷ time = 240 miles ÷ 2 hours = 120 mph.

Question 2

If a fuel tank holds 60 gallons and the aircraft burns 12 gallons per hour, how many hours of flight remain when 24 gallons are left?

Accepted Answer

2 hours

Answer

Remaining flight time = remaining fuel ÷ burn rate = 24 gallons ÷ 12 gal/hr = 2 hours.

Question 3

A gear with 40 teeth meshes with a gear with 20 teeth. If the larger gear rotates at 100 RPM, how fast does the smaller gear rotate?

Accepted Answer

200 RPM

Answer

When two gears mesh, the smaller gear rotates faster; speed ratio = 40/20 = 2, so 100 × 2 = 200 RPM.

Question 4

What is 15% of 480?

Accepted Answer

72

Answer

15% of 480 = 0.15 × 480 = 72.

Question 5

If a lever is 10 feet long and the fulcrum is placed 2 feet from one end, what is the mechanical advantage of the longer side?

Accepted Answer

4

Answer

Mechanical advantage = effort arm ÷ load arm = 8 feet ÷ 2 feet = 4.

ASTB-E - Aviation Selection Test Battery Practice Test