Why dont you start by summing the scores of both tests per person.

You then have "pairs" of data,

person...test1...test2

1..........54.......15

2..........75.......18

ect

Then try and correlate t1 with t2 using one of the nonparametric techniques for measuring the degree of correlation for nominal or ordinal data. That should tell you exactly what you need.

E.g. Crammer' V correlation coefficient, the Spearman rank correlation coefficient, the Kendall rank correlation coefficient and others..

read up on them and find one that fits your situation (dont just run them all and choose the one that supports your hypothesis).

hope this helps!