## Test Average

#### Problem

A student has an average score of 85% after completing four tests.

What is the lowest possible percentage score in any one of the tests?

#### Solution

If the average score after four tests is 85, the total of all four test scores must be 85 4 = 340. As the maximum score in any one test would be 100, we shall assume that they scored 100 in three tests, making a total of 300.

Hence the minimum score in any one test could be 340 300 = 40%.

What would the student need to score on the next test to take the average to 90%?

Problem ID: 197 (21 Dec 2004) Difficulty: 1 Star