JAMES MARTIN MIDDLE SCHOOL MATH DEPARTMENT 2011-1212 Name_________________________________________________________________ DATE____________________ Test #1 Practice Test C&S WORK MUST BE SHOWN FOR CREDIT Writing Mathematical Comparisons ∞ ∑ ≠ π 5/5 = A 4/5 = B 3/5 NY A survey of 120 players in a soccer league asked which drink they preferred during and after a game. Write mathematical comparison statements about player drink preferences during the game. a. One statement using ratios Students prefer water to juice during the game by a ratio of 40 to 10 or 4 to 1. b. One statement using percents 58.3% of the students prefer a sports beverage to the other drinks during the game. 2. Write mathematical comparison statements about player drink preferences after the game. a. One statement using fractions 2/3 of the students prefer juice to the other drinks after the game. b. One statement using differences 20 fewer students prefer a sports beverage to water after the game. 3. a. Write a ratio to describe the number of players who prefer a sports beverage to water during the game. 70 to 40 c. Write an equivalent form of the ratio. 35 to 20, 140 to 80, 175 to 100, or 7 to 4 Write Ratios 4. The soccer league director makes the following statements based on the survey. Which statements are accurate? Explain. a. During the game, players prefer juice to water by a ratio of 4 to 1. Not accurate. The ratio should be 10 to 40 or 1 to 4 OR the order of the ratio should be switched to “water to juice.” b. 25% of the players prefer water after the game. Accurate. c. More than half of the players prefer a sports beverage during the game. Accurate. √ 5. So far this year, the University of North Carolina Tar Heels have won 22 games and lost 5 games. a. Suppose they continue at the same pace and lose 45 games. How many will they have won? They will win 198 games A ratio, percent, fraction, or difference may be used as long as the explanation is reasonable b. What is an appropriate comparison to make between the number of games won and the number of games lost? Explain why you chose that type of comparison. A ratio, percent, fraction, or difference may be used as long as the explanation is reasonable Comparing Ratios, Percents and Fractions 4/4 = A 3/4 = B 2/4 = NY Solve the following problems using this table. The table shows the all-time top 10 American movies in terms of North American Box Office earnings. How do the earnings of Titanic and Jurassic Park compare? a. Write a fraction that compares the earnings between Star Wars: Episode IV–A New Hope to the total earnings from the top 10 movies. 461/4248 b. Write a ratio that compares the earnings of Titanic to SpiderMan. 600 to 403.7 c. Write a decimal that compares the earnings of E.T. The Extra-Terrestrial to the total earnings from the top 10 movies. 0.01 d. What is the percent of the Titanic and Star wars movies to the total earnings? 1061.8/4248.1=25%