How to match zero-pole diagrams to their frequency responses (Discrete Time)
These are all frequency selective filters. Note the zeros on the unit circle, which correspond to zeros of the frequency response. The filter's passband is determined by range of the angles of the poles, and the stopband is determined by the range of the angles of the zeros.

As an example, let's consider PZ-diagram $\#1$: since the stopband is around DC (i.e., angle zero), and there are no more zeros, just poles, at angles greater than approximately $\pi/3$ (and, by symmetry, smaller than approximately $-\pi/3$), this must be a high pass filter. The cut-off frequency must be close to $\pi/3$, so all frequency responses can be eliminated except for $\#4$ and $\#5$. However, frequency response $\#5$ has a zero at DC, which is not present in the PZ-diagram. Consequently, we can match PZ-diagram $\#1$ to frequency response $\#4$. I'm sure you can match the other diagrams yourself.