1. An total of $45,000 in prize money is to be divided unequally among the top three contestants. What is the value of the largest prize?   $9,000   0,000   2,000   5,000   $27,000   Hint Hint       2. If x + y − z = 5 and x − y + z = 10, which of the following statements MUST be true? I. y > z II. x > 5 III. y > 5   I only   II only   III only   I and II only   II and III only   Hint       3. A small square region inside a larger square is shaded. The diagonal of the larger square is three times the diagonal of the small square in length. What fraction of the area of the larger square is not shaded ?   1/9   1/3   2/3   8/9   cannot be determined   Hint       4. The arithmetic mean (average) of 3, 5, 7 and y is 100. What is the value of y?   85   95   105   115   385   Hint       5. What is z if 2.5% of z equals 75% of 50?   10   25   50   75   1500   Hint       6. What is the smallest of four consecutive odd integers whose sum is 968?   235   239   243   245   249   Hint       7. A quiz consists of true and false questions. The ratio of the number of true questions to the number of false questions is 4:3. About what percent of the questions are false?   43%   57%   67%   83%   86%   Hint