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Knights Moving

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
  • Problem
  • Getting Started
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Picture of knights on board

Two white and two black knights are positioned on part of a chess board as shown.

A knight can only move in the usual way * and can only land on an empty square.

Swap the positions of the white and black knights.

Can you prove you have succeeded in the minimum number of moves?

* A knight can move two squares horizontally and one square vertically, or two squares vertically and one square horizontally. The complete move therefore looks like the letter 'L'.
Unlike all other standard chess pieces, the knight can 'jump over' all other pieces on route to its destination square.

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A Knight's Journey

This article looks at knight's moves on a chess board and introduces you to the idea of vectors and vector addition.

Footprints

Make a footprint pattern using only reflections.

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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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