ISEE Mathematics Achievement Question 292: Answer and Explanation

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Question: 292

4. If a class of 6 students has an average grade of 72 before a seventh student joins the class, what must the seventh student's grade be to raise the class average to 76 ?

  • A. 100
  • B. 92
  • C. 88
  • D. 80

Correct Answer: A

Explanation:

A Use two Average Pies to organize the information in this question-every time you see the word average draw an Average Pie . There are 6 students with an average test score of 72. Place 6 in the # of items place and 72 in the average place. Find the total number of points by multiplying 6 × 72 = 432. Make a separate Average Pie for the next portion of the question. If a seventh student joins the class, the # of items place now contains 7, and the desired average is 76. Multiply these together to find that 7 × 76 = 532. The difference between 532 and 432 is 100, so the seventh student must score 100 to change the average to 76. The correct answer is (A).

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