Could you have used the key as a simple crypto-key? As in, give them the two digit number, and tell them "Turn to page 17+the number of the key".
Or if you wanted to make them work a little harder and maybe teach a little math, "17 times the number mod 47".
Of course they can still be dishonest, but it gives them an opportunity to have solved a simple puzzle. They get to the correct page because they "won".