Hi a3000master,
Ideally, if any of the tests are interrupted by a user the message that you have mentioned will be displayed.
And, NVidia GeForce GT 525M Graphics card is soldered on the Motherboard. So in order to upgrade the graphics, one has to change the motherboard.
Low FPS during the games appears to be due to the fact that the system has Intel HD Graphics 3000. The HD Graphics 3000 has no dedicated memory but shares the Level 3 / LLC Cache with the CPU cores and also part of the main memory.
You may try updating the Intel HD Graphics drivers from Intel website which might improve the graphics performance. Refer the following link to run Intel Driver Update Utility: http://intel.ly/vGLVd5
This will automatically check for the latest updates.
Do let me know the results.