List

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
problem
Favourite

1 Step 2 Step

Age
11 to 14
Challenge level
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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
problem
Favourite

Largest product

Age
11 to 14
Challenge level
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Which set of numbers that add to 100 have the largest product?
Cinema Problem
problem
Favourite

Cinema Problem

Age
11 to 14
Challenge level
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A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

What numbers can we make?
problem
Favourite

What numbers can we make?

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

Take Three From Five
problem
Favourite

Take Three From Five

Age
11 to 16
Challenge level
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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?