# Freedom and Constraints in the Classroom

### Freedom and Constraints in the Classroom

Our latest Creativity feature for students encourages exploration of situations which require them to consider freedom and constraints.
This feature offers problems suitable for classroom use on the same theme, which you may wish to explore with your students.

### 1 Step 2 Step

##### Age 11 to 14 Challenge Level:
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

### Largest Product

##### Age 11 to 14 Challenge Level:
Which set of numbers that add to 10 have the largest product?

### Cinema Problem

##### Age 11 to 14 Challenge Level:
A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.

### What Numbers Can We Make?

##### Age 11 to 14 Challenge Level:
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

### Take Three from Five

##### Age 14 to 16 Challenge Level:
Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?