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1 Table of Contents Sports Problems... 2 Problem 1: Points Scored... 3 Problem 2: Mean Scoring... 4 Problem 3: Batting Average... 5 Problem 4: Average Yards Gained... 6 Problem 5: Runner... 7 Problem 6: Tennis Serving Speed... 8 Problem 7: Calculate PCT... 9 Problem 8: Batting Average Problem 9: Scoring Football Game Problem 10: Field Goal % Problem 11: Difference in Swimmers Time Problem 12: Points Scored Sports Problem Answers What Everyone Should Know Page 1

2 Sports Problems A sport consists of an activity or skill performed under an agreed set of rules. This section contains word problems associated with playing sports. What Everyone Should Know Page 2

3 Problem 1: Points Scored Basic Math - Sports The top basketball player at Holland High school scored 15 2-point baskets, 2 3-point baskets, and 1 free throw worth 1 point. a. How many points did he score in the game? What Everyone Should Know Page 3

4 Problem 2: Mean Scoring Basic Math - Sports The Kennedy high school basketball team played 9 games during the 2010 basketball season. The table below shows the results. Game Total Points-Kennedy W-Won, L-Lost W L 3 50 L W W 6 98 L W 8 70 L W a. What is the average total points for Kennedy? b. What % of the games did Kennedy win? What Everyone Should Know Page 4

5 Problem 3: Batting Average Basic Math - Sports A baseball player got 100 hits in 300 times at bat. a. What is the ratio of the number of hits to the number of times at bat? What Everyone Should Know Page 5

6 Problem 4: Average Yards Gained A halfback gained 900 yards in the 8 games he played. a. What was the average number of yards he gained per game? What Everyone Should Know Page 6

7 Problem 5: Runner Joseph is a runner specializing in the 400 meter. If the USA record for the 400 meter is seconds and Joseph ran it in seconds, then Joseph needs to greatly improve to match the record. a. How much faster (in seconds) does Joseph have to run to tie the record? What Everyone Should Know Page 7

8 Problem 6: Tennis Serving Speed Mary plays professional Tennis. At a tournament in 2011, her top 5 serving speeds for the games she played were: 100 mph 75 mph 100 mph 80 mph 90 mph a. What was her average top serving speed? What Everyone Should Know Page 8

9 Problem 7: Calculate PCT Basic Math - Sports Baseball uses many stats; Look in the sports section of the Washington Post newspaper and you will probably see lots of stats during baseball season. PCT is a popular stat. It is the % of games won in decimal form. PCT is usually in three decimal places. a. Team X played 78 games of which 43 games were won and 35 were lost, what is its PCT that Team X won? What Everyone Should Know Page 9

10 Problem 8: Batting Average Basic Math - Sports A baseball player 113 hits in 400 times at bat. a. What is the ratio of the number of hits to the number of times at bat? What Everyone Should Know Page 10

11 Problem 9: Scoring Football Game Scoring for football is usually done by carrying the ball over the opponent's goal line, catching a pass thrown over that goal line, kicking the ball through the opponent's goal posts or tackling an opposing ball carrier in his own end zone. A team scores points by the following plays: Play Comments Points Touchdown Extra Point or Point After This is attempted after a touchdown One team takes the football into the opposite end zone. The team can attempt to kick it through the goalposts for 1 point Run or pass it into the end zone in the manner of a touchdown for 2 points Field goal Kicking the ball through the goalposts 3 defended by the opposition Safety Rarely scored or 2 a. One football team scored 51 points. The team scored touchdowns and field goals only. The team failed to make any extra points after making the 4 touchdowns. How many field goals did the team make? What Everyone Should Know Page 11

12 Problem 10: Field Goal % Basic Math - Sports A basket ball player's field goal percentage is the ratio of two numbers: the number of made field goal baskets, and the number of total attempts. On January 22, 2006, Bill made 28 out of 46 field goal attempts. a. What was Bill s field goal percentage? What Everyone Should Know Page 12

13 Problem 11: Difference in Swimmers Time Anna and Janet were swimming the 25 meter butterfly. Anna's time was seconds. Janet's time was seconds. What was difference between Anna s and Janet s time? What Everyone Should Know Page 13

14 Problem 12: Points Scored Basic Math - Sports Mary scored 8 more points than Judy in the basketball game, and their scores together made up a half of the team's total scoring. The total score was 112. a. How many points did Judy score? b. How many points did Mary score? What Everyone Should Know Page 14

15 Sports Problem Answers 1a: 37 2a: points 2b: 55.56% 3a: 100/300 or 1/3 4a: a:.86 seconds 6a: 89 mph 7a:.551 8a: 113/400 9a: 9 10a: 60.87% 11a:.7 seconds 12a: 24 12b: 32 What Everyone Should Know Page 15

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