We present first measurements of the top-quark pair-production and the inclusive W+jets cross-section in proton-proton collisions at sqrt(s) = 7 TeV with the ATLAS detector at the Large Hadron Collider. These are important Standard Model processes which have been the subject of much recent theoretical attention in preparation for LHC running. In a data sample of 2.9 pb-1 we observe 37 top-pair candidates in the single lepton and 9 in the dilepton channel, leading to the measurement of the ttbar production cross-section sigma(ttbar) =145 +- 31 +42 -27 pb. In a data sample of 1.3 pb-1, cross-sections, in both the electron and muon decay modes of the W boson, are presented as a function of jet multiplicity and of the transverse momentum of the leading and next-to-leading jets in the event. Measurements are also presented of the ratio of cross sections sigam(W+ >= n) / sigma(W+ >= n-1) for inclusive jet multiplicities n=1-4. The measurements are compared to recent higher-order and high-multiplicity Standard Model calculations.