Welcome to Appeals!

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Can I appeal based on the fact that she didn't finish.
Not really - the test is all about working accurately
and quickly.
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Also relocated from Southern Ireland to UK and she missed out on almost 2 years of primary school as a result of different systems of education
Your extenuating circumstances would be taken into account, but the appeal should be based mainly on alternative academic evidence of high ability, and specific reasons for wanting a place at the school being appealed for.
For a better understanding, it would help if you read the Q&As Hermanmunster pointed you to above.
Start
here.
Once you've finished reading, if you still have unanswered questions, do please let us know.