A material processing system (10d, 10e, 10f) for processing tailings (12d, 12e, 12f) discharged from an ore processing system, the tailings (12d, 12e, 12f) comprising coarse waste rock, fine waste rock, coarse valuable product, and fine valuable product, said material processing system (10d, 10e, 10f) comprising: a classification element (14d, 14e, 14f), a second classification element (40d, 40e, 40f), a coarse flotation element (18d, 18e, 18f), and a fines flotation element (22d, 22e, 22f) arranged to separate the coarse valuable product, the coarse waste rock, the fine valuable product, and the fine waste rock; said classification element and said second classification element configured to separate respectively the coarse material from the fine material; said coarse flotation element configured to separate the coarse waste rock from the coarse valuable product, the fine waste rock, the fine valuable product, or any combination thereof; and said fines flotation element configured to separate the fine valuable product from the coarse waste rock, the fine waste rock, the coarse valuable product, or any combination thereof; the tailings (12d, 12e, 12f) are conveyed by conveying means to said classification element (14d, 14e, 14f) to separate the coarse waste rock and the coarse valuable product from the fine waste rock and the fine valuable product; the coarse waste rock and the coarse valuable product from said classification element (14e, 14f) are conveyed by conveying means to said coarse flotation element (18e, 18f) to separate the coarse valuable product from the coarse waste rock; the coarse valuable product from said coarse flotation element (18e, 18f) is conveyed by conveying means to said second classification element (40e, 40f) to further classify the coarse valuable product to remove any of the fine waste rock and the fine valuable product that may have bypassed said coarse flotation element (18e, 18f) in the coarse valuable product. characterized in that the fine valuable product and the fine waste rock from said second classification element (40d, 40e, 40f) are conveyed by conveying means to the fine waste rock and the fine valuable product output from said classification element (14d, 14e, 14f); the fine waste rock and the fine valuable product from said classification element (14d, 14e, 14f) and the second classification element (40d, 40e, 40f) are conveyed by conveying means to said fines flotation element (22d, 22e, 22f) to separate the fine valuable product from the fine waste rock. a classification element (14d, 14e, 14f), a second classification element (40d, 40e, 40f), a coarse flotation element (18d, 18e, 18f), and a fines flotation element (22d, 22e, 22f) arranged to separate the coarse valuable product, the coarse waste rock, the fine valuable product, and the fine waste rock; said classification element and said second classification element configured to separate respectively the coarse material from the fine material; said coarse flotation element configured to separate the coarse waste rock from the coarse valuable product, the fine waste rock, the fine valuable product, or any combination thereof; and said fines flotation element configured to separate the fine valuable product from the coarse waste rock, the fine waste rock, the coarse valuable product, or any combination thereof; the tailings (12d, 12e, 12f) are conveyed by conveying means to said classification element (14d, 14e, 14f) to separate the coarse waste rock and the coarse valuable product from the fine waste rock and the fine valuable product; the coarse waste rock and the coarse valuable product from said classification element (14e, 14f) are conveyed by conveying means to said coarse flotation element (18e, 18f) to separate the coarse valuable product from the coarse waste rock; the coarse valuable product from said coarse flotation element (18e, 18f) is conveyed by conveying means to said second classification element (40e, 40f) to further classify the coarse valuable product to remove any of the fine waste rock and the fine valuable product that may have bypassed said coarse flotation element (18e, 18f) in the coarse valuable product. characterized in that the fine valuable product and the fine waste rock from said second classification element (40d, 40e, 40f) are conveyed by conveying means to the fine waste rock and the fine valuable product output from said classification element (14d, 14e, 14f); the fine waste rock and the fine valuable product from said classification element (14d, 14e, 14f) and the second classification element (40d, 40e, 40f) are conveyed by conveying means to said fines flotation element (22d, 22e, 22f) to separate the fine valuable product from the fine waste rock.