# Questions for ‘Cake-cutting math offers lessons that go far beyond dessert plates’

To accompany ‘Cake-cutting math offers lessons that go far beyond dessert plates

## SCIENCE

1. Imagine you and a friend agree to share a piece of cake. How might you divide it up so you’re both happy with the outcome? What would you do differently if you were sharing the cake among three people?
2. What does it mean to divide something fairly among multiple people? How do you decide what’s “fair”? Does everyone have to agree?

1. When mathematicians and others study cake-cutting, what bigger question are they trying to answer?
2. List at least three real-world situations that involve how to fairly divide up a limited resource.
3. Describe in your own words what an algorithm is.
4. As described in the story, what is the simplest way to divide a cake fairly between two people?
5. If two people use the I-cut-you-choose method with a uniform cake, how will their resulting pieces compare? How might this be different if the cake is not all the same?
6. What is one difference between the I-cut-you-choose method and the lone-divider method?
7. In the lone-divider method, which person (A, B or C) gets the first chance to pick a piece?
8. How do the lone-divider method and the last-diminisher method differ in terms of the number of people involved?
9. What are two weaknesses of the last-diminisher method, as described in the story?
10. According to Biaoshuai Tao, how might someone use dishonesty to try to get an unfair advantage?