This rich task from Cre8ate introduces students to a Latin Square, where each row and each column has all the variables once and only once. Students may be aware of Sudoku puzzles which are based on this scenario. They are challenged to find 12 different designs which satisfy the stated conditions for planting three types of rhubarb.

The task then develops to four types of wheat before introducing a Graeco-Latin square, where four crop varieties and four types of fertiliser are arranged in a 4x4 square so that each crop and each fertiliser occurs in each row and column.

All three activities engage the pupils in systematic analysis and the need for careful recording and proof. The resource, Four types of wheat, also draws attention to rotation and reflection.

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