Evaluating Methods, Improving Solutions

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 

Age 7 to 16 Challenge Level:
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

Diamond Collector 

Age 11 to 14 Challenge Level:
Collect as many diamonds as you can by drawing three straight lines.

Peaches Today, Peaches Tomorrow... 

Age 11 to 14 Challenge Level:
Whenever a monkey has peaches, he always keeps a fraction of them each day, gives the rest away, and then eats one. How long could he make his peaches last for?

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?

Cuboid Challenge 

Age 11 to 16 Challenge Level:
What's the largest volume of box you can make from a square of paper?

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?

Sorted 

Age 14 to 18 Challenge Level:
How can you quickly sort a suit of cards in order from Ace to King?

Vector Gem Collector 

Age 14 to 18 Challenge Level:
Use vectors to collect as many gems as you can and bring them safely home!