P5 Numbers (Chinese Zodiac question) (Fr CCL)

This year (2018) is the Year of the Dog.
(a)  When will the last Year of the Dog be in this millennium?
(b)  What Zodiac sign will the year 3000 take on?
You may use the calculator ;)

[ Question edited on 23 Jan 2018, by Mr Chang C.L. ]

Graphic taken from http://www.activityvillage.co.uk/chinese-zodiac-poster