1. What is the largest integer, n, for which 297/(3n) is an integer?   1   2   3   4   5   Hint Hint       2. A region within a semicircle is shaded. If D is the diameter of the semicircle, what is the area of the shaded region?   πD2/8   πD2/16   πD2/4   3πD2/8   3πD2/16   Hint       3. What is the largest prime factor of 399?   7   13   17   19   21   Hint       4. If 6y − 4z = 47 and y + 11z = 2, what is the average (arithmetic mean) of y and z?   3.5   4.5   5   9   7   Hint       5. Two-fifths of the caps in a box are red, one-fourth are blue, and the rest are green. What is the ratio of the green caps to the blue caps?   5:8   5:7   7:8   8:7   7:5   Hint       6. If 3 (4 − 9z) = 7z, then what is z?   3/34   6/17   17/6   −6/17   −17/6   Hint       7. What is the smallest of five consecutive odd integers whose sum is S?   (S − 20)/5   (S + 12)/5   5S − 20   5S + 20   (S + 20)/5   Hint