Mathematically, Newcastle have not passed the UCL because they still meet Leicester City, who are struggling to avoid relegation, and Chelsea, who could qualify for Man United or Liverpool.
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And you think that Leicester or Chelsea will give Newcastle a hard time for qualifying for the champion league after they must have won big and small matches we thought they won't be able to pull it through but they did scale it through to get to the top position they are now. 
Now, they have, Do you think mathematically Leicester and Chelsea would stop them in this last period of the premier league? That's a fat lie. Just a win from the two remaining matches automatically qualify Newcastle for the champion league.