List

Evaluating Methods, Improving Solutions

When solving problems, it's important to recognise that the process doesn't end when the problem is solved. To help our students become resilient problem solvers, we need to offer opportunities to evaluate different solution methods and reflect on their own and other people's solutions. 

In this collection of problems, we have included tasks that can be solved in more than one way, and tasks that give students space to solve, reflect and revisit.

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?
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?

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?
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?