Barley limit dextrinase (HvLD) of glycoside hydrolase family 13 is the sole enzyme hydrolysing α-1,6-glucosidic linkages from starch in the germinating seed. Surprisingly, HvLD shows 150- and 7-fold higher activity towards pullulan and β-limit dextrin, respectively, than amylopectin. This is investigated by mutational analysis of residues in the N-terminal CBM-21-like domain (Ser14Arg, His108Arg, Ser14Arg/His108Arg) and at the outer subsites +2 (Phe553Gly) and +3 (Phe620Ala, Asp621Ala, Phe620Ala/Asp621Ala) of the active site. The Ser14 and His108 mutants mimic natural LD variants from sorghum and rice with elevated enzymatic activity. Although situated about 40 Å from the active site, the single mutants had 15–40% catalytic efficiency compared to wild type for the three polysaccharides and the double mutant retained 27% activity for β-limit dextrin and 64% for pullulan and amylopectin. These three mutants hydrolysed 4,6-O-benzylidene-4-nitrophenyl-63-α-d-maltotriosyl-maltotriose (BPNPG3G3) with 51–109% of wild-type activity. The results highlight that the N-terminal CBM21-like domain plays a role in activity. Phe553 and the highly conserved Trp512 sandwich a substrate main chain glucosyl residue at subsite +2 of the active site, while substrate contacts of Phe620 and Asp621 at subsite +3 are less prominent. Phe553Gly showed 47% and 25% activity on pullulan and BPNPG3G3, respectively having a main role at subsite +2. By contrast at subsite +3, Asp621Ala increased activity on pullulan by 2.4-fold, while Phe620Ala/Asp621Ala retained only 7% activity on pullulan albeit showed 25% activity towards BPNPG3G3. This outcome supports that the outer substrate binding area harbours preference determinants for the branched substrates amylopectin and β-limit dextrin.