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Recent advances in shared memory multiprocessor system-on-a-chip (MP-SOC) architectures include using special step caches to efficiently implement concurrent read concurrent write memory access. Unfortunately the existing step cache techniques do not support multi-operations that can be used to speed up execution of a number of parallel algorithms by a logarithmic factor. In this paper we propose an architectural technique for implementing multioperations on step cached MP-SOCs even if the associativity of caches is limited. The technique is based on simple active memory units, faster memory modules, and small processor-level memory blocks called scratchpads. We evaluate the performance and area requirements of the proposed technique on our parametrical MP-SOC framework. According to the evaluation the technique implements multi-operations efficiently and provides a speed-up of 4.8-7.2 with respect to baseline step cached systems and a speed-up of 3.7-5.0 with respect to existing non-step cached systems with only a minor silicon area overhead.