Inclusive jet cross-sections have been measured in p anti-p collisions at s*(1/2) = 546 and 1800 GeV, using the CDF detector at the Fermilab Tevatron. The ratio of jet cross-sections is compared to predictions from simple scaling and (O(alpha**3(s))) QCD. Our data exclude scaling and lie 1.5-2.4 sigma below a range of QCD predictions.