1. At 2:30, what is the angle (in degrees) between the minute and hour hands of a clock?

2. What is the next most likely term in the sequence 1, 4, 10, 20, 35, 56, 84, 120, …?

3. One interior angle of a regular polygon has a measure of 170 degrees. How many sides does the polygon have?

4. If the radius of a sphere is increased 30%, by what percentage its surface area increased?

5. In the figure shown ABCD and PQRS are squares and AP/PB = BQ/QC = CR/RD = DS/SA = 2. What is the ratio of the area of PQRS to the area of ABCD?
   

6. In a group of people, the average age is 51. The average age of the women is 46 and the average age of the men is 53. What is the ratio of the number of men to the number of women?

7. What is the total number of triangles (of any size) in the figure shown?
   

8. When a quadratic polynomial is divided by x − 1, the remainder is 4, when divided by x + 1 , the remainder is 6, and when divided by x − 2, the remainder is 9. Find the polynomial.

Here are the answers.