Tamim looked as though he was going to score a Test century before the lunch interval, becoming only the fifth batsman to do so, after Australians Victor Trumper, Charles Macartney and Don Bradman, and Pakistan's Majid Khan.
Despite a cautious start, making nine from 45 deliveries at tea, Clarke cut loose after the interval, bringing up his 14th Test hundred 96 deliveries later as he tore New Zealand's bowlers to shreds, smashing 10 boundaries and two sixes.