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Answer: 504
Underlined twice: multiples of 4 (i.e. 2 and 4) but not of 3 (red and green)
multiples of 6 (i.e. 2 and 3) but not of 12 (red and blue)
Multiples of 4 but not of 3 includes $\frac23$ of the multiples of 4, starting with the first two (4 and 8)
2016$\div$4 = 504 multiples of 4
504$\div$3 = 168 of those are also multiples of 3
504 $-$ 168 = 336 are underlined exactly twice
2016$\div$6 = 336 multiples of 6
336$\div$2 = 168 multiples of 12
Also 168 multiples of 6 which are not multiples of 12
168 + 336 = 504
Big Blackboard
Age 11 to 14
ShortChallenge Level 
Answer: 504
Underlined twice: multiples of 4 (i.e. 2 and 4) but not of 3 (red and green)
multiples of 6 (i.e. 2 and 3) but not of 12 (red and blue)
Multiples of 4 but not of 3 includes $\frac23$ of the multiples of 4, starting with the first two (4 and 8)
2016$\div$4 = 504 multiples of 4
504$\div$3 = 168 of those are also multiples of 3
504 $-$ 168 = 336 are underlined exactly twice
2016$\div$6 = 336 multiples of 6
336$\div$2 = 168 multiples of 12
Also 168 multiples of 6 which are not multiples of 12
168 + 336 = 504
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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