Sure, here are the sentences with the perfect participle phrases:

1. Having asked his mother's permission, the boy went out to play.
2. Having slept for two days, she wasn't able to concentrate.
3. Having drunk too much, he couldn't drive home himself.
4. Having written two tests today, we are very exhausted.
5. Having loaded the washing machine, she switched it on.
6. Having not seen him for ages, I didn't recognize him.
7. Having been to the disco the night before, she overslept in the morning.
8. Having worked in the garden all day, we were sunburned in the evening.
9. Having not ridden a horse for a long time, I found it hard to keep in the saddle.
10. Having gotten the urgent phone call, I rushed to the hospital.