Why might a multimeter ask for "wrong" fuse sizes?
The actual text is:


10A MAX
FUSED


Maybe this should be read as "10A max" and "fused" &mdash; two different statements, not one sentence.



What I am trying to say is that you should not read the two lines on the multimeter as "fused at 10A", but as "rated (=guaranteed) to measure up to 10A" + "fused to prevent brute abuse". 

Note that even a 10A fuse is not guaranteed to blow at 10A, but on the other hand it might do so. Hence, to be rated to measure 10A, the fuse must be for a higher current. Fuses are very crude things, so a 50% higher value does not seem unreasonable to me.

"Hard lines" are very rare in electronics, especially for currents: the common 7805 is over-current-protected and is rated to deliver up to 1A (or 1.5A). But the over-current protection will kick in somewhere above the rated current, but below 2.5A.