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Is there a better way?

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
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The Knapsack Problem

Learn about algorithms for solving optimisation problems in this article from Plus Magazine.
Fruity Totals
problem
Favourite

Fruity totals

Age
7 to 16
Challenge level
filled star empty star empty star

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

Diamond Collector
game
Favourite

Diamond collector

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

What's it worth?
problem
Favourite

What's it worth?

Age
11 to 16
Challenge level
filled star empty star empty star

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

Peaches today, Peaches tomorrow...
problem
Favourite

Peaches today, peaches tomorrow...

Age
11 to 14
Challenge level
filled star filled star empty star
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?
Cuboid challenge
problem
Favourite

Cuboid challenge

Age
11 to 16
Challenge level
filled star filled star empty star

What's the largest volume of box you can make from a square of paper?

Sorted
problem

Sorted

Age
14 to 18
Challenge level
filled star empty star empty star
How can you quickly sort a suit of cards in order from Ace to King?
Vector Gem Collector
game
Favourite

Vector gem collector

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

Tree tops
problem
Favourite

Tree tops

Age
14 to 16
Challenge level
filled star filled star empty star
Can you make sense of information about trees in order to maximise the profits of a forestry company?
Is there a better way?
list

Is there a better way?

Age
5 to 11
This feature includes tasks which have multiple routes to the solution. We hope this will make you curious about finding different approaches!