SCORE Please print legibly School / Team Names
1. A half circle overlaps with a square. The diameter of the half circle is 12 inches. What is the area of the striped parts? 1. square inches 2. Before district play, the basketball team won 45 of their basketball games. During district play, they won six games and lost two, to finish the season having won half their games. How many games did the team play in all? 2. games 3. a + b + c = 1,227. Determine each integer if b = 2a and b = c 12. 3. a = b = c = 4. A 15-foot by 32-foot rectangular pool is surrounded by a 3-foot wide walkway so that the pool and walkway make a larger rectangle. How many 6-inch by 6-inch square tiles are required to pave this walkway? 4. tiles
5. Barry wrote 6 different numbers, one on each side of 3 cards, and laid the cards on a table, as shown. The sums of the numbers on the front and back of each card are equal. The three numbers on the hidden sides are prime numbers. What are the hidden numbers? 5. 44 59 38 6. Ten tiles numbered 1 through 10 are turned face down. One tile is turned up at random, and a regular die is rolled. What is the probability that the product of the numbers on the tile and the die will be a square number? Express your answer as a common fraction. 6. 7. A right circular cone is shown in the figure. Point A is the vertex of the cone and point B lies on the circumference of the base of the cone. 7. units The cone has a height of 24 units and a diameter of 20 units. What is the distance from point A to point B? 8. The Fibonacci sequence is 1, 1, 2, 3, 5, 8,.Each number after the first two numbers is the sum of the preceding two numbers. What is the first perfect square greater than 1 to occur in this sequence? 8.
9. If the measure of angle C is triple the measure of angle B, what is the measure of angle A in triangle ABC? (Figure not drawn to scale.) 9. degrees 10. The weight of a box of chocolate is 2.2 pounds. After taking out of the chocolate the remaining chocolate and the box weigh 0.7 pounds. What is the weight of the box? 10. pounds 11. Oscar rolls three standard dice once. What is the probability the sum of the numbers rolled is greater than 15? Express your answer as a common fraction. 11. 12. Tom asked his Granny how old she was. Rather than giving him a straight answer, she replied: I have 6 children, and there are 4 years between each one and the next. I had my first child (your Uncle Peter) when I was 19. Now the youngest one (Your Auntie Jane) is 19 herself. That s all I m telling you! 12. years old How old is Tom s Granny?
13. When this diagram is folded to form a cube, which face is opposite the face marked Z? M E G 13. S L Z 14. What is the area of the square with four vertices at A (0, 0), B (-5, -1), C (-4, -6), and D (1, -5)? 14. square units 15. A solid, four-inch cube of wood is coated with blue paint on all six sides. Then the cube is cut into smaller one-inch cubes. These new one-inch cubes will have either three blue sides, two blue sides, one blue side, or no blue sides. How many of each will there be? 15. 3 blue sides 2 blue sides 1 blue side 0 blue sides 16. Margaret has a farm with pigs and chickens. She counts 30 feet and 9 heads at her farm. How many of each animal does she have? (There are no two-headed chickens!) 16. pigs chickens
17. When the repeating decimal 0.46 is expressed as a fraction in lowest terms, what is the sum of its numerator and denominator? 17. 18. With a circle irrigation system, a farmer waters as much of a square field as possible without spraying water over the boundary of the field. To the nearest tenth of a percent, what percent of the square field is not watered? 18. % 19. What is the area of the triangle formed by the x-axis, the y-axis and the line 3x + 8y = 12? 19. square units 20. As shown, a sculptor attaches a 4-meter cube to the top of a 7-meter cube and then places the small 2-meter cube so that its face touch both the 4-meter cube and the 7-meter cube. In square meters, what is the surface area (including the base) of the completed sculpture? 20. square meters