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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 Yellow starYellow star

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 Yellow star

Which set of numbers that add to 100 have the largest product?

Cinema Problem 
Age 11 to 14
Challenge Level Yellow star

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 Yellow star

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 11 to 16
Challenge Level Yellow starYellow star

Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?

Related

  • Thinking Strategically
  • Working Systematically
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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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