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.
This feature offers problems suitable for classroom use on the same theme, which you may wish to explore with your students.
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Favourite
1 Step 2 Step
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?
problem
Favourite
Cinema Problem
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
problem
Favourite
What numbers can we make?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
problem
Favourite
Take Three From Five
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?
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Working Systematically - Secondary Teachers
These problems will offer your students opportunities to appreciate the value of working systematically in a variety of contexts.
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Exploring and Noticing - Secondary Teachers
These problems will offer your students opportunities to explore and reflect on what they notice.
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Conjecturing and generalising - Secondary Teachers
These problems will offer opportunities for your students to use specific examples as a springboard to generalising.