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Many a Mandarin test with problems about answer (8)

Ross

I believe the answer is:

satsumas

I'm a little stuck... Click here to teach me more about this clue!

'many a mandarin' is the definition.
I can't tell whether this definition defines the answer.

'test with problems about answer' is the wordplay.
'test' becomes 'SAT' (SAT is a type of exam).
'with' is a charade indicator (letters next to each other).
'problems' becomes 'sums' (arithmetic problems).
'about' indicates putting letters inside.
'answer' becomes 'a' (abbreviation eg in Q and A).
'sums' going around 'a' is 'sumas'.
'sat'+'sumas'='SATSUMAS'

Can you help me to learn more?

(Other definitions for satsumas that I've seen before include "Seedless mandarins" , "Small oranges" , "Sam sat us down to the oranges" , "Oranges from a Japanese province" , "Seedless oranges with thin skin" .)

I've seen this clue in The Times.
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