ISEE Mathematics Achievement Question 296: Answer and Explanation

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Question: 296

8. Michael scored an average of 24 points over his first 5 basketball games. How many points must he score in his 6th game to average 25 points over all 6 games?

  • A. 24
  • B. 25
  • C. 30
  • D. 36

Correct Answer: C

Explanation:

C Use two Average Pies to organize the information in this question-every time you see the word average draw an Average Pie .The question states that Michael scored an average of 24 points over his first 5 basketball games. Therefore, place 24 in the average place of the pie, and 5 in the # of items place. Multiply these numbers together to find that Michael scored a total of 120 points over the five games. To find how many points he must score on his sixth game to bring his average up to 25, use the second Average Pie to plug in the given information. Write 6 in the # of items place of to account for all six games, and 25 in the average place since that's the desired average. Multiply these numbers to find he must score a total of 150 points over the entire 6 games. The difference between 150 and 120 is 30, so Michael must score 30 points in the sixth game to raise his average to 25. The correct answer is (C).

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