your probes do not have not be married with the scope. As long as the capacitance is close enough you can calibrate it. In the 10X position you connect it to the probe calibrator and adjust the trimmer in the probe for a flat line on the square wave.That is it.
In 1 X it will be right, if it is not, the scope itself is at fault and you need someone who knows what they're doing to straighten that out. but that is not all that common. I ran ionto it on an HP 1725A where someone tried to retrofit a home made replacement for the vertical output IC.
You just don't do that on an analog 275 MHz scope. Actually I tried and got it alot better but the last guy FUBARed the alignment. I got it trustable up to about 80 meg.
When you first buy a used scope you should take just a wire from the probe calibrator and hook it direct to the input and make sure you get a nice square wave. As long as you got that, you can be reasonably assured it is in alignment. Don't etch that in stone, but it is a good indicator.
Higher frequency square waves tell alot more. The 1 KHz is just to set the probes, nothing like a real alignment. When you get to that, you can buy ten grand in equipment or you can bring it here. Seriously. But usually it is not needed. That 1725 had been seriously screwed with, with the guy trying to calibrate it to the wrong circuit. I got a circuit off the internet that cam alot closer than the POS he rigged in there, but I could not get enough gain out of it. Then I got my grubby little hands on one of those unobtainium chips and put it in. It is still off but it is alot closer than it was. I do not have the equipment at this time to get it any closer. I could probably do a 100 MHz, but a 275 is a bit too much.
I really like to stay away from the vertical circuit in scopes. They are like tuners. I can set them up, calibrate them but with my methods I cannot claim official accuracy. you have to buy a binch of stuff, pay money, go to a class, pay more money and then take the test and then pay more money to make your little ink stamp on the unit worth something. Usually goes on stickers that must be breached to open or adjust the unit.
Part of this is trying to be accurate and part is money. Like ISO9002, if you work for an ISO9002 compliant company you are not allowed to modify any test equipment (which engineers want to do all the time) and every screw has to be accounted for and all that. this is because of money, because the assets of that company must be reported accurately because it is publicly traded. If you take a plugin for a Tek scope and modify the input for whatever reason, the company you work for just committed fraud. that is the law.
OK, sorry I got so long.