> Prudence was tested for Ketones in her urine at the Vet on the 19
> of Feb. It was neg. so I have not bought the test strips for this.
Ketones are a complication of unregulated / under-regulated diabetes. They can occur at any time the diabetes is not under control, not just at the time of first diagnosis. If you catch them early, you may be able to treat them at home; high levels of ketones may require expensive hospitalisation at a 24-hour care facility, which is why we encourage folks to test for ketones at home.
> I do understand the physical signs to look for
By the time physical signs appear, ketones will be higher than than anyone here would like.
> but didn't know if her numbers keep raising... does that me she's heading
> for ketoacidosis?
No. Ketones are a possible complication of diabetes, but some cats are much more prone to ketones while others are less so. Your cat's tendency toward ketones can be affected by genetics, diet, insulin, infection, stress, etc.
> If she didn't get her full 1u after pmps - her numbers will raise too, right?
If she gets an underdose of insulin, her numbers will rise, yes. But it's important to note that an overdose of insulin can also cause BG levels to rise as well: the body notices that the BG is dropping too low, panics and releases a bunch of sugar into the system, causing BG levels to increase. This is one reason we encourage home testing, so that you can tell exactly what's going on with how your cat is responding to specific doses.