In the episode 'Mum School', Bluey and Bingo engage in various activities that mimic school lessons, such as learning about different subjects like math and art. They set up a classroom environment at home, where they take turns being the teacher and the student.

Chilli initially embraces the role of the teacher with enthusiasm, trying to create a fun and engaging learning environment for Bluey and Bingo. However, she also experiences moments of frustration and exhaustion as the kids' antics challenge her patience.

Bluey and Bingo face several challenges during Mum School, including distractions and their playful nature leading to chaos. They struggle to focus on the lessons, which leads to humorous situations that test Chilli's ability to maintain order.

Throughout the episode, Bluey learns the importance of listening and respecting her teacher, which is represented by her mother, Chilli. She realizes that being a good student involves cooperation and understanding the effort that goes into teaching.

Bingo adds a playful and innocent perspective to the dynamics of Mum School. Her enthusiasm and willingness to participate in the activities often lead to unexpected and funny moments, showcasing her creativity and the bond she shares with Bluey.