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  • Early Years Foundation Stage

The Value of Working Systematically

The value of working systematically

Mathematicians often talk about the importance of working systematically on a problem, rather than approaching it in a random, unstructured way. The tasks in this feature have been chosen because systematic approaches will offer the most efficient routes to the solutions.

How Old Am I? 
Age 14 to 16
Challenge Level Yellow star

In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

Odds and Evens Made Fair 
Age 14 to 16
Challenge Level Yellow starYellow star

In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

Sorted 
Age 14 to 18
Challenge Level Yellow star

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

A Long Time at the Till 
Age 14 to 18
Challenge Level Yellow starYellow starYellow star

Try to solve this very difficult problem and then study our two suggested solutions. How would you use your knowledge to try to solve variants on the original problem?

Related

  • Working Systematically
  • Developing as Mathematicians

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Patterns in Number Sequences

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

Reasoning Geometrically

These resources are designed to get you thinking about geometrical reasoning.

Reasoning with Numbers

These resources are designed to get you thinking about reasoning with numbers.

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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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