The Kiwi took a superb victory in Race 1 before setting for third place during the afternoon’s race, which was rescheduled after being cancelled earlier this year at Snetterton.
Sharp now holds a slim four-point advantage over his title rival, Will Macintyre, going into Sunday’s action.
The Rodin Carlin driver said after the days second race: “This morning was good. Then, in the first race, we were able to win. Then, coming into the second race here this weekend, the one that was cancelled from Snet, we were starting P2, so I knew it was a good place.
“The start was quite strong, and then I tried to go on the outside in the first corner and then boxed in, so I just slotted back in.
“Then I got stuck between two Hitechs, and they were probably working together, so I got boxed in a little bit and dropped back to fourth. But no, the pace was really strong.”
Abrahams joined the championship during Round Four at Thruxton just after his 15th birthday.
The Fortec driver was delighted with his maiden British F4 podium and said to insideF2: “I know it was a good race. Louis (Sharp) got an amazing start. I got a bit unlucky with pole (grid slot) being wet. I just got lots of wheel spin, and he got an amazing start.
“He had a good pace throughout the whole race. I think we also did, but I couldn’t keep up with him. I’m really happy to get my first podium in British F4, and we’re looking onto tomorrow.”
Chris Dittmann Racing’s Gustav Jonsson is dominating the rookie championship and scored an impressive third place in Race 1.
The Swede sits ninth in the standings during his first British F4 campaign and said after his podium finish: “I really enjoyed it. Obviously, when we came to the grid, it was wet, so I was a little bit sceptical if it was going to be dry or wet.
“But when we got out, it was just about finding the right patches. That was dry, and we got some good with tyre temperature.
Jonsson swept past championship newcomer Freddie Slater at Redgate after the Safety Car restart, snatching third place. The CDR driver realised that it was critical to pounce early on.
“I knew it was going to be hard to follow, so I needed to make the move quite quick. There were a few different places where to pass, but since it was wet, there was only really one dry line for most of it, so Turn 1 was the only option, I would say, in the beginning. And then, lap after lap, it just opened up.”