F1 2011

This is easily the most difficult trophy in the game. With that being said it is also a fairly bizarre trophy. You can achieve a Gold Medal time even if you drive off course on roughly 1/3 of the tracks, 1/3 require a fairly strong lap and 1/3 you will need to not only drive a perfect lap but also have the correct setup. The general consensus seems to be that Yas Marina, Suzuka, Monza, Spa, Silverstone, Montreal and Istanbul are the most difficult tracks to achieve the required times. FIRST, before you start a Time Trial, go to Tuning. Adjust Oversteer to 100% on the first page, and SPEED/ACCELERATION to 70%. Thanks again to Lightsp33d1987 for this invaluable tip. I achieved the Gold Medal on EVERY track with this setup. Also, make sure you are using DRS ( - Layout B) on every straight, and use KERS ( - Layout B) generally accelerating onto the longest straight. For a more detailed discussion of some additional tips for the most difficult tracks, check this thread. There is some confusion it seems over what the Gold Medal Time is. A time to beat is displayed in the top left hand corner of the screen. You will know that you beat the Gold Medal time once your best lap time is better than the "Time to beat" (and it isn't changing). Also, you will receive the Gold Medal after you quit from the Time Trial. Here are the following times required to receive the Gold Medal on each track:

Melbourne 1:24.200
Kuala Lumpur 1:32.000
Shanghai 1:32.700
Istanbul 1:24.750
Catalina 1:27.000
Monte Carlo 1:20.000
Montreal 1:08.100
Valencia 1:35.100
Silverstone 1:27.500
Nuremberg 1:35.000
Budapest 1:22.100
Spa 1:42.100
Monza 1:20.300
Singapore 1:43.350
Suzuka 1:32.350
Yeongam 1:38.850
New Delhi 1:27.650
Yas Marina 1:37.250
Sao Paulo 1:12.150