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Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

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Summing Consecutive Numbers

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

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Always the Same

Arrange the numbers 1 to 16 into a 4 by 4 array. Choose a number. Cross out the numbers on the same row and column. Repeat this process. Add up you four numbers. Why do they always add up to 34?

Regular Hexagon Loops

Age 11 to 14 Challenge Level:

For a better visualization, you could use one of the various physical regular hexagons available (e.g. ATM mats and Pattern Block shapes) or make some by yourself, using paper or cardboard. An alternative is to work on regular hexagon sheets.