Three works from the Second Temple period name him. They are labeled study resources on this site rather than Scripture, and the text quoted here is the King James Version with Apocrypha.
Sirach, whose Hebrew original is commonly dated to the early second century BC, gives the earliest surviving Jewish summary of the whole life, and it already carries the four pieces the New Testament will use. Sirach 44:19: "Abraham was a great father of many people: in glory was there none like unto him;" Sirach 44:20: "Who kept the law of the most High, and was in covenant with him: he established the covenant in his flesh; and when he was proved, he was found faithful." Sirach 44:21: "Therefore he assured him by an oath, that he would bless the nations in his seed, and that he would multiply him as the dust of the earth, and exalt his seed as the stars, and cause them to inherit from sea to sea, and from the river unto the utmost part of the land."
1 Maccabees, second century BC, has Mattathias on his deathbed read Genesis 15:6 through Genesis 22 in a single line. 1 Maccabees 2:52: "Was not Abraham found faithful in temptation, and it was imputed unto him for righteousness?" That is the same fusion James makes at James 2:21-23, which shows the reading was standard Jewish teaching two centuries before James wrote.
Judith 8:26 remembers the testing with Isaac as its subject rather than as its object: "Remember what things he did to Abraham, and how he tried Isaac, and what happened to Jacob in Mesopotamia of Syria, when he kept the sheep of Laban his mother’s brother." 2 Esdras names him twice. At 3:13 he is the man God chose out of a wicked generation: "Now when they lived so wickedly before thee, thou didst choose thee a man from among them, whose name was Abraham." At 7:36 he is remembered as the first intercessor: "Then said I, Abraham prayed first for the Sodomites, and Moses for the fathers that sinned in the wilderness:"