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For younger learners

  • Early Years Foundation Stage

Is There a Better Way?

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!


 

Fruity Totals 
Age 7 to 16
Challenge Level Yellow star

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

Peaches Today, Peaches Tomorrow... 
Age 11 to 14
Challenge Level Yellow starYellow 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?

What's it Worth? 
Age 11 to 16
Challenge Level Yellow star

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

Diamond Collector 
Age 11 to 16
Challenge Level Yellow star

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

Cuboid Challenge 
Age 11 to 16
Challenge Level Yellow starYellow star

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

Tree Tops 
Age 14 to 16
Challenge Level Yellow starYellow star

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 Yellow star

How can you quickly sort a suit of cards in order from Ace to King?

Vector Gem Collector 
Age 14 to 18
Challenge Level Yellow star

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

The Knapsack Problem 
Age 14 to 18
Challenge Level Yellow starYellow star

Learn about algorithms for solving optimisation problems in this article from Plus Magazine.

Related

  • A Guide to Problem Solving
  • Is There a Better Way?

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Patterns in Number Sequences

These resources are designed to get you thinking about number sequences and patterns.

Secondary Student Latest

Latest list for the Lower Secondary Student page

Curriculum Topics

Problems organised by curriculum topic for lower secondary students.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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