I applied to UCL and the University of Kent. I have only received acknowledgements of my applications but have since heard nothing from these schools.

Please is this normal?

Hey, there!
I applied to UCL at the end of March and received confirmation of my letters of reference beginning of April. In their last e-mail they mentioned I would receive a definite reply by 7th June. So I take it today must be the final day of waiting. No idea, if this is normal, but usually lots of people apply in the last moment and they're a bit slow with the communication.
Good luck!