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Multiple Years

Age 11 to 14 Short
Challenge Level

Answer: 2016

Year Sum of digits Divisible?
 2011   2 + 1 + 1   4   No because 2011 is odd and 4 is even
2012 2 + 1 + 2 5  No because it doesn't end in 5 or 0
2013   6  No because 2013 is odd and 6 is even
2014   7  No because 200$\div$7 is not a whole number
2015      No because of odd/even problem
2016   9
 Yes because whenever the digits add up to 9,
 the number is in the 9 times table!

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.