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Palindromic Date

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Palindromic Date


The number $2002$ is palindromic because it is the same read from left to right as it is read from right to left.

There was one date in February of the year $2002$ where the eight digits are palindromic if the date is written in the British way (dd/mm/yyyy).

This is not palindromic written the American way (mm/dd/yyyy).

Is there any palindromic date written the American way that year?

Find the next occasions when palindromic dates occur written in each way and the number of days between them.


Why do this problem?

This problem is an appealing context in which to explore numbers. It could be used at the start of a new year to draw attention to the new calendar.

Key questions

Have you got a system of working so that you don't miss any dates out?
How are you recording the dates you've found?
What years are likely to give you palindromic dates?

Possible extension

The problem Today's Date would make a good follow-up task.

Possible support

Encouraging children to concentrate on a year at a time will make this challenge more accessible.