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A WISC-V would be a very reasonable comprehensive cognitive instrument. It is closely related to the WASI-2, so I would make sure that any psychologist administering the WISC-V in the next year has access to his WASI-2 scores. The publisher actually recommends that the WASI-2 subtests be directly counted into the WISC-V (in place of the equivalent subtests).
The WJIV achievement (which is likely the portion referenced by the psychologist) is also a highly-respected instrument, which can be used to assess a broad range of academic areas (reading, writing, mathematics, both skills and applications).
