When you finish solving a problem, do you stop to think about your solution before moving on to something else? Do you talk to someone else to see if they solved it the same way? These are good habits to help you become a more resilient problem solver, and we hope the problems in this feature will give you lots of opportunities to explore your own and other people's solutions!

The knapsack problem

Fruity totals
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

Diamond collector
Collect as many diamonds as you can by drawing three straight lines.

What's it worth?
There are lots of different methods to find out what the shapes are worth - how many can you find?

Peaches today, peaches tomorrow...
A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?



Vector gem collector
Use vectors to collect as many gems as you can and bring them safely home!

Tree tops
Can you make sense of information about trees in order to maximise the profits of a forestry company?