Dear Kate,

I'm sorry to hear that you didn't do well on your exam. Failing can be disappointing, but it's important to remember that mistakes happen. However, it's also important to take responsibility for your actions and prepare better next time.

It seems like you may need to work on your study habits and time management skills. Perhaps you could create a study schedule, seek help from a tutor, or join a study group to improve your understanding of the material.

Remember, it's never too late to turn things around and improve your performance. Stay focused, stay positive, and don't give up. I believe in you!

Best of luck,

$$YourName$$