Mental Math for Pilots Practice Test 2026 - Free Pilot Math Practice Questions and Study Guide

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True airspeed increases about 2% per 1000 ft of density altitude. If TAS at sea level is 120 knots, what is TAS at 10,000' density altitude?

120 knots

132 knots

144 knots

Density altitude tells us how thin the air is; as it increases, the air offers less mass for the wings to push against, so true airspeed rises for a given indicated airspeed. The rule of thumb here is a 2% increase in TAS for every 1,000 ft of density altitude.

Ten thousand feet is ten increments of 1,000 ft, so TAS increases by about 20%. With a sea-level TAS of 120 knots, multiply by 1.20:

120 × 1.20 = 144 knots.

So the true airspeed at 10,000 ft density altitude is about 144 knots.

156 knots

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