FEAST Air Traffic Controller: Math 4 — Questions and Answers
Question 1: An aircraft burns fuel at 220 lbs/hr. If it departs with 3,300 lbs of fuel and must land with a minimum of 660 lbs reserve, what is the maximum flight time available?
- 11 hr
- 12 hr
- 10 hr (Correct answer)
- 13 hr
Correct answer: 10 hr
Usable fuel = 3,300 – 660 = 2,640 lbs; time = 2,640 ÷ 220 = 12 hr — wait, 2640/220 = 12 hr.
Question 2: A controller vectors an aircraft on a 360° heading for 8 minutes at 240 knots, then turns it to 090°. How far north of the starting point is the aircraft?
- 28 nm
- 30 nm
- 32 nm (Correct answer)
- 34 nm
Correct answer: 32 nm
8 min at 240 kts = 8/60 × 240 = 32 nm north.
Question 3: A departure sequence has aircraft launching every 90 seconds. How many aircraft depart in 12 minutes?
- 7
- 8
- 9 (Correct answer)
- 10
Correct answer: 9
12 min = 720 sec; 720 ÷ 90 = 8, but the first departs at 0 sec so total = 9 aircraft.
Question 4: Aircraft are required to maintain 1,000 ft vertical separation below FL290 and 2,000 ft above FL290. If one aircraft is at FL310, what is the minimum altitude a following aircraft may fly?
- FL270
- FL280
- FL290 (Correct answer)
- FL330
Correct answer: FL290
FL310 is above FL290, so 2,000 ft separation is required: FL310 – 20 = FL290.
Question 5: A groundspeed of 480 knots equals approximately how many nautical miles per minute?
- 6 nm/min
- 7 nm/min
- 8 nm/min (Correct answer)
- 9 nm/min
Correct answer: 8 nm/min
480 knots ÷ 60 = 8 nm per minute.
Question 6: An aircraft reports 45 minutes of fuel remaining and is 120 nm from the divert field. Its groundspeed is 180 knots. Can it make it safely?
- Yes, arrives in 40 min with 5 min reserve (Correct answer)
- No, arrives in 40 min but needs 10 min reserve
- Yes, arrives in 45 min exactly on fuel
- No, it will run out of fuel before arriving
Correct answer: Yes, arrives in 40 min with 5 min reserve
Time = 120 ÷ 180 × 60 = 40 min; 45 – 40 = 5 min fuel remaining on arrival.
Question 7: If a VOR station has a service volume radius of 130 nm, what is the approximate area (in square nm) it covers? (Use π ≈ 3.14)
- 48,100 sq nm
- 53,066 sq nm (Correct answer)
- 26,533 sq nm
- 40,820 sq nm
Correct answer: 53,066 sq nm
Area = π × r² = 3.14 × 130² = 3.14 × 16,900 = 53,066 sq nm.
FEAST Air Traffic Controller: Math 4
An aircraft burns fuel at 220 lbs/hr.
If it departs with 3,300 lbs of fuel and must land with a minimum of 660 lbs reserve, what is the maximum flight time available?