Install Norton Utilities 3.5.3, then boot into System 7.1 or 7.5.5. Find "System Info" in the Norton app collection and run it. It's a Benchmark utility. It will tell you if the CPU has an FPU or not. Running the benchmark will tell you the performance, which should fall in line with other 040 Macs of the same clock speed. If it doesn't, then you know something is awry.If I connect it to my LC575, is there some way to get verification via the OS or software?
But even if it has an FPU and works, you need to feel how hot it gets over time, as that will tell you how old it is. The oldest 040 CPUs get the hottest. Even so, at 33MHz or under, it probably could be run even without a heatsink. And I doubt temperatures would be much above 58°C.