I'm Sorry...

Riddle - Riddle is the Rule Boy, By the Book, Stick to the Pattern. The one who adamantly protests every time to the other Saw masterminds "It's not a trap, it's a TEST".

Because of this, Riddle's tests are not overly imaginative, but they get the job done. I think, due to the nature of his signature spell, Riddle would lean toward decapitation being the end result in his traps. It's easy, effective, and doesn't prolong suffering. I like to think he's not one to wish others to suffer. Indeed, if he was a Jigsaw Apprentice, he'd be the one to parrot John Kramer the most about learning to love and cherish the life you have and atoning for past mistakes.

The rules for Riddle's test would be simple. "Find the key to unlock your chains in a certain amount of time, or a saw will cut your head off". Of course, the tricky part is getting the key. No one escapes a Saw trap without some kind of mark, be it visible or invisible. The placement of the key I will leave up to the imagination, as it will have to be specific to the individual in the trap or it will mean nothing. (Keep in mind, canon placements have been: at the other end of the room needing a mad dash that puts co-victims in danger to get to it, in the stomach of a heavily sedated companion in the trap, surgically implanted inside the victim's own eye...etc.). If the victim survives, they are off the hook. Riddle wouldn't dare mess up that part of the game. If they die, he follows John's example and dutifully cuts a puzzle piece out of their flesh, the symbol of that person's "missing piece" that prevented them from winning the game(this is also how Jigsaw got his name).

Leona - Leona can do the job, he understands the assignment. He thinks John's a bit nuts, though. He's another one where there's not a whole lot of imagination involved; he designs the trap to get the job done, makes sure it meets the requirements (because he will not be given a bad grade on Jigsaw Traps, something apparently possible to achieve and normal to worry about?...), but it won't be overly complex, and he makes Ruggie and Jack do the muscle-work for him. Don't worry, he pays them well.

Leona's traps will probably involve some test of strength (keeping in mind the different physical capabilities of individuals, of course). I'm thinking something like a low tunnel filled with various-sized shards of broken glass the person has to crawl through to get to the exit, or climbing through a vent connected to an oven that is on max. heat to get out. Something like that, of course tweaked for the individual.

He makes Ruggie cut the puzzle piece. Ruggie doesn't mess around when it comes to his finances. He cuts every piece perfectly.

Azul - Let's be real, Azul doesn't mind suffering...as long as it's not his own. His traps are always complex, and he sees each new victim as a chance to one-up himself. And it's no problem getting his victims; Jade and Floyd help with that.

I think most of Azul's traps will involve the victim inflicting pain on themselves on purpose. Not just doing things that result in pain (such as crawl over glass) but actively cause themselves harm; probably ripping their own molars out or cutting off a limb, or something, and dropping it in a bin/chute to trigger the exit to open.

Jade and Floyd help with set-up...but Floyd is Not allowed to cut the puzzle pieces afterward. For obvious reasons.

Kalim - In order for Kalim to be an apprentice, he would need to have something awful and drastic happen to someone close to him that pushes him over the edge. When it comes to it, he sees the traps as a job, a duty. It's not something he enjoys and he always observes with a tired distaste but, because of whatever trauma pushed him into this life, he believes it's necessary.

He can't stand the sight of blood and brutality. Nor does he want to know they're dying a slow death. His victim is hooked up to a syringe pump, hands restrained, and they need to figure out the code to turn off the pump before time runs out (probably voice password or something; definitely based on important memories related to the reason they are in the trap, which is hinted at in the tape) or the syringe will rapidly infuse a lethal dose of potassium into their veins and they will go into cardiac arrest.

Jamil has to cut the puzzle piece because Kalim cannot stomach it.

Vil - Vil, like Kalim, needs to be of the mind that what he's doing is necessary, even if he doesn't like it. He has to believe that people need him to teach them in this way, or he won't be able to stomach it.

He also doesn't want a bloodbath; that's not his style. Vil would rather use poison. Poison for his victims, already injected/ingested, with an antidote they have to get...probably behind a locked door needing a combination password. But, in order to get the code, they will have to face what they've done and figure out what the code is, very similar to Kalim's style. However, unlike Kalim's, if the victim gives the wrong code the door will seal shut forever and the victim will be doomed. They need to get it right and they need to be certain.

Vil may request Rook's assistance with making sure people are brought in and the trap set up properly, but he cuts the puzzle piece himself. He believes it's his role, and he refuses to put that onto anyone else. It disgusts him, but he treats it like his cross to bear for the acts he is committing, because a part of him still feels uneasy about all of this and he hates looking at himself in the mirror some days.

Idia - Idia is so removed from the front lines of the traps, he's actually quite desensitized to the violence. He treats it a bit like his video games and he does try out a variety of different traps, each one extremely individualized. He's got all the info on his victims; every single trace of them online, their social security number, their bank statements, anything and everything that can be accessed via computer is his. He knows them inside and out. Every trap is an attempt to be more unique and "entertaining" than the last. It's questionable if he's even in it for the "righteousness" that John preaches, or if he got bored and decided this was an interesting way to pass the time.

All his traps are set up to run completely independently, and all are under video surveillance. I think Idia would get to the point that there's not enough moving parts for him if there's only one victim in the trap, so he starts doing bigger traps, with groups of people, where it's a challenge to try and predict how they all will react, how they would push each other's boundaries and if they would try to see the hints laid out for them or if they would misinterpret it (for anyone who's seen Jigsaw, think about the gun scene with the keys at the end. That kind of a hint. Idia would like to see who gets it). So, yeah, Idia probably builds a maze-trap with multiple little traps within it that the victims have to go through to get out.

While he hasn't yet created something that can cut the puzzle piece and deliver it to him, he has developed a little punch that he can bring to punch out the piece of the victim's flesh should they fail. It's the only time he's on-site after the trap has been set. (Ortho refused to do that part because the dead bodies made him sad.)

Malleus - Malleus believes he is helping people, and he's curious to see how far a person would go to save their own life. He thinks it's his job to bring out the worst and the best in the person in his trap to help them be better than they are now. He's not beyond pushing buttons and upping antes; he sees it as doing what he can to help someone value their life and overcome their own shortcomings.

A trap from Malleus is probably going to involve some form of self-mutilation, giving enough flesh or giving enough blood, but also some emotional pressure. He will bring their families into the traps; likely remotely so as not to harm the innocent, but to use as leverage to make someone push themselves more. He wants them to succeed. But he will not go easy on them. In order to succeed, they need to pull on their own inner strength.

He cuts the puzzle piece himself, but he's always sad when he has to. He feels less that the person has failed and more that he has failed to help them bring out their better self.