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.
problem
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?
problem
Largest product
Age
11 to 14
Challenge level
Which set of numbers that add to 100 have the largest product?
problem
Cinema problem
Age
11 to 14
Challenge level
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
problem
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?
problem
Take three from five
Age
11 to 16
Challenge level
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?
list
Exploring and noticing - Secondary teachers
These problems will offer your students opportunities to explore and reflect on what they notice.
list
Working systematically - Secondary teachers
These problems will offer your students opportunities to appreciate the value of working systematically in a variety of contexts.
list
Conjecturing and generalising - Secondary teachers
These problems will offer opportunities for your students to use specific examples as a springboard to generalising.