Ian Stewart’s (2005) book Game, Set and Math includes 12 puzzles linked to the 12 days of Christmas. A favourite is Five Gold Rings. The five gold rings are arranged to maximise the overlaps. At every overlap there is a diamond. You have diamonds of 1, 2, 3, 4, 5, 6, ... carats. Arrange the diamonds so the total number of carats on each ring is the same.

Try starting small—just two rings, two overlaps and each ring has a total of three carats (1 + 2). Now three rings, there are six overlaps, arrange diamonds of 1, 2, 3, 4, 5 and 6 carats so each ring has the same total.

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Seasonal Values
Each of the symbols in the grid has a value. From the totals given for each row and each column can you work out what they are?

The eight symbols have values 1 to 8 and each has the same value wherever it appears.

An excerpt from the freely-available https://atm.org.uk/write/MediaUploads/Journals/MT298/08.pdf

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The Association for Mathematics in Education launched on 1 December 2025 https://amie.org.uk/

These articles are also available to non-members

AMET and AMiE https://atm.org.uk/write/MediaUploads/Journals/MT298/11.pdf
Sally Bamber and Ashley Compton, with current AMET committee members reflect on AMET’s legacy and potential contribution to AMiE.

ATM and AMiE https://atm.org.uk/write/MediaUploads/Journals/MT298/12.pdf
Helen Madeley on behalf of General Council reflects on ATM’s legacy and the potential contribution to AMiE.

From the MA to AMiE: celebrating a legacy, forging a stronger future https://atm.org.uk/write/MediaUploads/Journals/MT298/13.pdf
Andy Kemp and current trustees of the MA reflect on the MA’s legacy and potential contribution to AMiE.

NAMA and AMiE https://atm.org.uk/write/MediaUploads/Journals/MT298/14.pdf
Ruth Trundley and the current executive committee of NAMA reflect on NAMA’s legacy and potential contribution to AMiE. Ruth Trundley

NANAMIC and AMiE https://atm.org.uk/write/MediaUploads/Journals/MT298/15.pdf
John Barton and current trustees of NANAMIC reflect on NANAMIC’s legacy and potential contribution to AMiE.

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