DemographicsExeter (Tas.) is approximately 24.46 square kilometres. In 2016 the population of Exeter (Tas.) was 633. The population is 47% male and 53% female. On average the monthly mortgage repayments in Exeter (Tas.) are $1000 to $1399. The most common weekly income bracket is $300 to $399 per week. Weekly rents in the area are on average $225 to $275.