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Fred's Maths Problems
Age 16 to 18
Challenge Level 
Consider the statement about Fred:
(*) Every day next week, Fred will do at least one maths problem.
If statement (*) is not true, which of the following is certainly true?
(A) Every day next week, Fred will do more than one maths problem.
(B) Some day next week, Fred will do more than one maths problem.
(C) On no day next week will Fred do more than one maths problem.
(D) Every day next week, Fred will do no maths problems.
(E) Some day next week, Fred will do no maths problems.
(F) On no day next week will Fred do no maths problems.
This question comes from TMUA Specimen paper 2.
The Test of Mathematics for University Admission (or TMUA) is designed to give you the opportunity to demonstrate that you have the essential mathematical thinking and reasoning skills needed for a demanding undergraduate Mathematics or Mathematics-related course. There are several UK universities which encourage their applicants to sit TMUA, and a good performance may result in a reduced offer.
For more information about TMUA visit www.admissionstesting.org.
The Test of Mathematics for University Admission (or TMUA) is designed to give you the opportunity to demonstrate that you have the essential mathematical thinking and reasoning skills needed for a demanding undergraduate Mathematics or Mathematics-related course. There are several UK universities which encourage their applicants to sit TMUA, and a good performance may result in a reduced offer.
For more information about TMUA visit www.admissionstesting.org.