1. The first 4 designs are shown. How many dots will there be in the tenth design?



2. How many zeros are in the quotient of 20012001200120012001200120012001 ÷ 2001?


3. Point P has coordinates (-6, -6) and undergoes these transformations in the following order: a reflection across the x-axis, a slide of 9 units to the right, and a rotation of 180° about the point (0, 3). What are the coordinates of the final image of point P?

4. Seymour, the homing pigeon, can fly 94 miles per hour in still air. He flies east with a 14 mile per hour tail wind for 20 minutes. He turns around to fly home and must fly into the same 14 mile per hour wind to return home. How many minutes will it take him to fly home?

5. When the sum of and is expressed as a fraction in lowest terms, what is the sum of the numerator and denominator?

6. The ancient Egyptian mathematical system allowed only fractions with a numerator of 1 (except for ). If is expressed as a sum of fractions each with numerator 1 in which no two denominators are the same, what is the sum of these denominators?

7. A basketball fits exactly in a cubical box that is 9 inches on a side. To the nearest tenth of a percent, what percentage of the box is taken up by the basketball?




8. Irma is walking around a very large polygon. She always walks parallel to the nearest side. At the first vertex she turns at an angle of 3°. At the next vertex she turns 6°; and at the third vertex she turns 9°. If this pattern continues, how many sides will the polygon have?



9. A schematic diagram of a bicycle is given below. There are 35 teeth on the front sprocket and 15 teeth on the rear sprocket. The rear wheel is 27 inches in diameter. If a cyclist pedals at 70 revolutions per minute, to the nearest tenth of a minute how long will it take to go one mile?



10. A box without a top is to be made by cutting the corners from a square of cardboard that is 24 inches on a side. In cubic inches what is the largest possible volume for this box?