1. to fail to remember something

1. He said we’d met before, but I just drew a blank (= I did not remember him).

2. I always draw a blank when I run into people I don’t know very well. I never quite sure I have met them before.

3. Charles drew a blank when he tried to remember the date of his wedding anniversary. He had to ask his wife when it was.

4. He asked me for my phone number and I drew a blank - I just couldn't remember it.

2. Fig. to get no response; to find nothing

1. I asked him about Tom’s financial problems, and I just drew a blank.

2. We looked in the files for an hour, but we drew a blank.