Not five but she had Rolling In The Deep, Someone like you and Set Fire To The Rain inside the Hot 100 top 10 ( two of them top 5 ) and 2 albums inside the BB 200 top 5 simultaneously
All fourteen songs on the album and three bonus tracks have charted on the US Billboard Hot 100, eleven of them charted concurrently making Swift just the third artist in history and first female artist to have over ten concurrent Hot 100 hits. Speak Now is also the only album in history to spawn seventeen Hot 100 hits. It produced four top ten, seven top twenty, and nine top thirty hits.