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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...

Differences

Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?

Two Much

Explain why the arithmetic sequence 1, 14, 27, 40, ... contains many terms of the form 222...2 where only the digit 2 appears.

Going Round in Circles

Age 11 to 14
Challenge Level

You might find it helpful to start by taking a look at the Level 1 and 2 problems in Shifting Times Tables.