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Stuck in the Past

Age 7 to 14 Short Challenge Level:

2002 started on a Tuesday.

In which years between now and 2015 will each date fall on the same day of the week as it fell that year?
 
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.