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Quiz: Can You Answer These 6 Mental Math Questions?

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Time to knock off the rust!


  1. 1) You're flying toward fix that's 20 NM away. You're flying 120 KTS ground speed at 10,000'. You need to cross the fix at 6,000'. How fast do you need to descend?

    You need to descend 4,000'. You're flying 2 miles per minute (120 KTS), which means it will take 10 minutes to reach the fix. 4,000' / 10 min = 400 FPM.

    You need to descend 4,000'. You're flying 2 miles per minute (120 KTS), which means it will take 10 minutes to reach the fix. 4,000' / 10 min = 400 FPM.

  2. 2) You're 30 miles from a VOR. If you're 1 degree off course, how many miles off course are you?

    The 60:1 rule states that when you're 60 miles from a VOR, 1 degree off course = 1 mile off course. Since you're half that distance from the VOR (30 miles), your course deviation is half of that as well: 1/2 mile.

    The 60:1 rule states that when you're 60 miles from a VOR, 1 degree off course = 1 mile off course. Since you're half that distance from the VOR (30 miles), your course deviation is half of that as well: 1/2 mile.

  3. 3) If you descend at a 3-degree flight path angle for 2 miles, how many feet will you descend?

    The 60:1 rule states that for every 1 degree you descend, every mile you'll descend 100 feet. (1 deg * 1 mile * 100 = 100 feet). Since you're descending at 3 degrees for 2 miles, you'll descend 600 feet (3 deg * 2 miles * 100 = 600 feet).

    The 60:1 rule states that for every 1 degree you descend, every mile you'll descend 100 feet. (1 deg * 1 mile * 100 = 100 feet). Since you're descending at 3 degrees for 2 miles, you'll descend 600 feet (3 deg * 2 miles * 100 = 600 feet).

  4. 4) You're flying to an airport that's 17 NM away. Your ground speed is 90 KTS and you're at 7,500'. You want to reach pattern altitude, which is 1,500', 2 miles prior to reaching the airport. How fast do you need to descend?

    You need to descend 6,000'. You're 17 NM from the airport, and you want to be at pattern altitude 2 miles prior, which means you have 15 miles to descend. You're traveling 1.5 miles per minute, meaning you'll travel 15 miles in 10 minutes. 6,000' / 10 minutes = 600 FPM.

    You need to descend 6,000'. You're 17 NM from the airport, and you want to be at pattern altitude 2 miles prior, which means you have 15 miles to descend. You're traveling 1.5 miles per minute, meaning you'll travel 15 miles in 10 minutes. 6,000' / 10 minutes = 600 FPM.

  5. 5) You're at 6,000' and you've been cleared to climb to FL260. What flight path angle do you need to climb to reach FL260 in 40 miles from your present position?

    You need to climb a total of 20,000 in 40 miles. For every 1 degree you climb, you'll climb 100 feet per 1 mile. 20,000 / 40 NM / 100 = 5 degrees.

    You need to climb a total of 20,000 in 40 miles. For every 1 degree you climb, you'll climb 100 feet per 1 mile. 20,000 / 40 NM / 100 = 5 degrees.

  6. 6) You're flying at 300 knots ground speed. How far will you travel in 3 hours?

    300 Knots / 60 = 5 miles per minute. In 60 minutes (1 hr), you'll travel 300 miles (5 miles-per-minute x 60 minutes = 300 NM) In 3 hours you'll travel 900 NM (300 NM X 3 Hrs)  

    300 Knots / 60 = 5 miles per minute. In 60 minutes (1 hr), you'll travel 300 miles (5 miles-per-minute x 60 minutes = 300 NM) In 3 hours you'll travel 900 NM (300 NM X 3 Hrs)  

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