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!
page
The Knapsack Problem
problem
Favourite
Fruity Totals
Age
7 to 16
Challenge level
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
game
Favourite
Diamond Collector
Collect as many diamonds as you can by drawing three straight lines.
problem
Favourite
What's it worth?
Age
11 to 16
Challenge level
There are lots of different methods to find out what the shapes are worth - how many can you find?
problem
Favourite
Peaches today, Peaches tomorrow...
Age
11 to 14
Challenge level
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?
problem
Favourite
Cuboid Challenge
Age
11 to 16
Challenge level
What's the largest volume of box you can make from a square of paper?
game
Favourite
Vector Gem Collector
Use vectors to collect as many gems as you can and bring them safely home!
problem
Sorted
Age
14 to 18
Challenge level
How can you quickly sort a suit of cards in order from Ace to King?
problem
Favourite
Tree tops
Age
14 to 16
Challenge level
Can you make sense of information about trees in order to maximise the profits of a forestry company?
page
A Guide to Problem Solving
This article has lots of useful tips on becoming a skilful problem solver.
list
Is there a better way?
This feature includes tasks which have multiple routes to the solution. We hope this will make you curious about finding different approaches!