Gadgets used: Batclaw
Get to the very top of the construction and find the pressure plate #1. Note that stepping onto it will cause a timer to start #2.
Quickly run to the edge and jump onto the lower ledge #1. Now turn around towards the construction on which you were standing just before. The Trophy is hanging from the ceiling #2 and you can grab it using the Batclaw.
After reaching the destination you should note that the Trophy is inside a cage #1 and that there are five pressure plates around it. Stand by the plate furthest from the Trophy #2.
In order to solve this puzzle, you have to run across the plates #1 at the exactly proper moment. You need to step onto each of them when it turns its colours to green. The prize for doing it properly will of course be the possibility to collect the Trophy from the cage #2.
Gadgets used: Freeze Blast, Batclaw
Stand west of the Trophy, beside the water #1 #2.
Equip the Freeze Blast and use it to create an ice float #1. After landing on it, prepare the Batclaw and use it to open the hatch above you #2.
Note that a frozen Trophy has fallen out through the hatch #1. Swim there by using the Claw to grab the local grapple points and pick up the Trophy #2.
Gadgets used: Batarang
Stand on one of the pressure plates beside the Trophy cage and note that is has caused one of the question marks in the distance to light up #1. Focus all of you attention on it, as it will star turning around with the others. Wait for the "wheel of fortune" to stop and aim at the one that was activated at the very beginning #2.
If you hit the right one, all of them should deactivate #1 and the Trophy cage open #2.
Used skills: Dive Bomb
Start on the roof of the Steel Mill, north-east of the Trophy location #1 #2. Turn towards the partially submerged big cage.
Jump off the ledge and after getting near enough to the cage, press the right trigger to activate the Dive Bomb #1. Now you have to perfectly choose the moment to let go of the right trigger and lean the analog stick backwards, so that you neither fall into the water or hit the cage #2.
Glide west, letting go of A only after finding yourself above the pressure plate #1. Turn right and pick up the Trophy #2.
After reaching the destination you should note that the Trophy is in a cage #1 and there are three pressure plates around it. Stand beside the plate closest to the Trophy #2.
In order to complete this riddle, you have to run across all of the plates #1 in the proper moment, when it changes its colour to green. The prize for properly doing this will be of course the possibility to take the Trophy from the opened cage #2.
Gadgets used: Line Launcher + Tightrope, Batclaw
After reaching the area where the Trophy is hidden, look around the lowest level for a passage marked with an arrow #1. Choose it and afterwards turn right #2.
Prepare the Line Launcher and shoot it at the fence in the distance #1. After the ride starts, hold down the left trigger as you will have to change direction after reaching the corner #2.
Continue riding the rope, though press RB right after getting out of the tunnel. That should cause Batman to stop and jump onto the rope #1. Turn around so that you see the upper ledge in front of you #2.
Take out the Batclaw and use it to grab the upper platform #1. You can now pick up the Trophy #2. Notice! You don't need to follow the same way back. Instead, stand on the nearby pressure plate to unlock an alternative exit from the big cage.
After reaching the destination you should note two pressure plates and seven inactive lamps. Each time you stand on the left plate three new lamps will be lit #1 and standing n the right one will cause five of them to activate #2. Each them the total amount is higher than 7 (or its multiple), the process will begin from the beginning, though retaining the sequence. For example, if you gain a total of 8 (3 for standing on the left and +5 for the right plate), one lamp will be activated.
The goal here is of course causing all seven lamps to activate #1. The easiest way of reaching it is standing on the: left, left, right and left plate (3+3+5+3 = 14, seven times two). You can also pretty much keep walking onto one of the plates until you reach the desired result. Regardless of how you intend to behave, solving this riddle will be rewarded with a Trophy #2.
After reaching the marked point you should note that the Trophy is beneath you #1. Go down and stand on one of the three pressure plates #2.
The key to solving this riddle is activating all three plates without touching the floor. Theoretically you could use the Line Launcher and land on each of them, though it's easier to just jump between them #1, as they're quite close to each other. In return for activating all three, you will unlock the Trophy #2.
Gadgets used: Cryptographic Sequencer
Jump over the small wall and look for a control panel around the area where the Trophy is #1. Use the Cryptographic Sequencer on it and solve the mini-game #2. Afterwards you will be able to collect the Trophy.
Gadgets used: Remote Electrical Charge, Cryptographic Sequencer + Cryptographic Sequencer Range Amplifier, Explosive Gel
Search for a locked door south-east of the Trophy #1 #2 and open them with the Electrical Charge. Crouch and go inside.
Inside, stand on the pressure plate #1. Take out the Cryptographic Sequencer and hack into the control panel in the distance #2.
Solve the hacking mini-game #1 and return outside by once again using the Electrical Charge #2.
Turn left and use the Explosive Gel to bring down the wall #1. You can now re-enter the building and take the Trophy from the cage #2.
Used skills: Dive Bomb
The Trophy is hidden in a hardly accessible place, reachable through a hole in the wall south of the Industrial District #1. Start off by getting onto one of the higher balconies on the Sionis Steel Mill roof, standing north of the destination point #2.
Jump off the ledge and start gliding towards the Trophy. Of course you won't reach it solely by doing that, as you will have to use the Dive Bomb skill. You have to alternate between holding down the right trigger #1 and leaning the analog stick down #2.
Doing as described above will let you keep a steady altitude. Get to the area where the Trophy is #1, safely land and look for you prize #2.