That's not right. Semi-breve is a whole note, minum is a half note, crotchet is a quarter note, quaver is an eighth note, semiquaver is a sixteenth note. In a standard bar of 4/4 there are four quarter notes (or four crotchets in the UK). It makes sense. The quiz is correct.
Yeah, they might be regional variations in the US, but they both show up. "Seesaw" and "faucet" were most common where I grew up, but "tap" certainly wasn't uncommon and, while I rarely heard people use it, I definitely knew "teeter-totter" as an alternate name.