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## Batting Averages - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=0

 1 In 413 at bats, a baseball player has a batting average of 0.321. In the next game, he has 3 at bats. What is the most likely number of hits he will get? Suppose he hits 1 of those swings. What is his new batting average to three places? Most likely number of hits: New batting average: 2 In 154 at bats, a baseball player has a batting average of 0.189. In the next game, he has 4 at bats. What is the most likely number of hits he will get? Suppose he hits 3 of those swings. What is his new batting average to three places? Most likely number of hits: New batting average:

### Complexity=1

 1 In 395 at bats, a baseball player has a batting average of 0.306. In the next game, he has 4 at bats. What is the most likely number of hits he will get? Suppose he hits 0 of those swings. What is his new batting average to three places? Most likely number of hits: New batting average: 2 In 465 at bats, a baseball player has a batting average of 0.171. In the next game, he has 3 at bats. What is the most likely number of hits he will get? Suppose he hits 1 of those swings. What is his new batting average to three places? Most likely number of hits: New batting average:

### Complexity=2

 1 In 269 at bats, a baseball player has a batting average of 0.238. In the next game, he has 2 at bats. What is the most likely number of hits he will get? Suppose he hits 0 of those swings. What is his new batting average to three places? Most likely number of hits: New batting average: 2 In 582 at bats, a baseball player has a batting average of 0.224. In the next game, he has 4 at bats. What is the most likely number of hits he will get? Suppose he hits 3 of those swings. What is his new batting average to three places? Most likely number of hits: New batting average:

### Complexity=0

1In 413 at bats, a baseball player has a batting average of 0.321. In the next game, he has 3 at bats. What is the most likely number of hits he will get?
Suppose he hits 1 of those swings. What is his new batting average to three places?
Most likely number of hits:
New batting average:
Solution
The player's batting average is 0.321 and the number of swings is 3.
0.321 × 3 = 0.963 which rounds to 1.
Original total number of hits = batting average * total swings = 0.321 × 413 = 133.
New total number of hits = original number of hits + number of hits at next game = 133 + 1 = 134.
New total number of swings = original number of swings + number of swings at next game = 413 + 3 = 416.
New batting average = new total number of hits / new total number of swings = 134 / 416 = 0.322.
2In 154 at bats, a baseball player has a batting average of 0.189. In the next game, he has 4 at bats. What is the most likely number of hits he will get?
Suppose he hits 3 of those swings. What is his new batting average to three places?
Most likely number of hits:
New batting average:
Solution
The player's batting average is 0.189 and the number of swings is 4.
0.189 × 4 = 0.756 which rounds to 1.
Original total number of hits = batting average * total swings = 0.189 × 154 = 29.
New total number of hits = original number of hits + number of hits at next game = 29 + 3 = 32.
New total number of swings = original number of swings + number of swings at next game = 154 + 4 = 158.
New batting average = new total number of hits / new total number of swings = 32 / 158 = 0.203.

### Complexity=1

1In 395 at bats, a baseball player has a batting average of 0.306. In the next game, he has 4 at bats. What is the most likely number of hits he will get?
Suppose he hits 0 of those swings. What is his new batting average to three places?
Most likely number of hits:
New batting average:
Solution
The player's batting average is 0.306 and the number of swings is 4.
0.306 × 4 = 1.224 which rounds to 1.
Original total number of hits = batting average * total swings = 0.306 × 395 = 121.
New total number of hits = original number of hits + number of hits at next game = 121 + 0 = 121.
New total number of swings = original number of swings + number of swings at next game = 395 + 4 = 399.
New batting average = new total number of hits / new total number of swings = 121 / 399 = 0.303.
2In 465 at bats, a baseball player has a batting average of 0.171. In the next game, he has 3 at bats. What is the most likely number of hits he will get?
Suppose he hits 1 of those swings. What is his new batting average to three places?
Most likely number of hits:
New batting average:
Solution
The player's batting average is 0.171 and the number of swings is 3.
0.171 × 3 = 0.513 which rounds to 1.
Original total number of hits = batting average * total swings = 0.171 × 465 = 80.
New total number of hits = original number of hits + number of hits at next game = 80 + 1 = 81.
New total number of swings = original number of swings + number of swings at next game = 465 + 3 = 468.
New batting average = new total number of hits / new total number of swings = 81 / 468 = 0.173.

### Complexity=2

1In 269 at bats, a baseball player has a batting average of 0.238. In the next game, he has 2 at bats. What is the most likely number of hits he will get?
Suppose he hits 0 of those swings. What is his new batting average to three places?
Most likely number of hits:
New batting average:
Solution
The player's batting average is 0.238 and the number of swings is 2.
0.238 × 2 = 0.476 which rounds to 0.
Original total number of hits = batting average * total swings = 0.238 × 269 = 64.
New total number of hits = original number of hits + number of hits at next game = 64 + 0 = 64.
New total number of swings = original number of swings + number of swings at next game = 269 + 2 = 271.
New batting average = new total number of hits / new total number of swings = 64 / 271 = 0.236.
2In 582 at bats, a baseball player has a batting average of 0.224. In the next game, he has 4 at bats. What is the most likely number of hits he will get?
Suppose he hits 3 of those swings. What is his new batting average to three places?
Most likely number of hits:
New batting average:
Solution
The player's batting average is 0.224 and the number of swings is 4.
0.224 × 4 = 0.896 which rounds to 1.
Original total number of hits = batting average * total swings = 0.224 × 582 = 130.
New total number of hits = original number of hits + number of hits at next game = 130 + 3 = 133.
New total number of swings = original number of swings + number of swings at next game = 582 + 4 = 586.
New batting average = new total number of hits / new total number of swings = 133 / 586 = 0.227.   