Memory protection circuitry testing and memory scrubbing using memory built-in self-test

A data processing apparatus includes a memory and memory protection circuitry for providing an operational path to the memory during operational use of the memory. A memory built-in self-test controller 34 performs built-in self-test operations upon the memory using either an indirect test access path to the memory via the memory protection circuitry or a direct test access path to the memory which bypasses the memory protection circuitry. Thus, the correct operation of the memory protection circuitry itself can be tested in addition to the correct operation of the memory.