Unit 7 · Data and Percentage
James's Guaranteed Win — What Score on Test 3?
Lesson 8 of 9
About this lesson
To guarantee a prize, your target student must be able to score high enough that even the best possible opponent score cannot beat them — and a tie doesn't count as winning.
Chapters
Question
Twelve students are studying Mathematics. They take three tests, each marked out of 100.
The results for the first two tests taken are shown below.
| Test 1 | Test 2 | |
|---|---|---|
| Tom | 48 | 53 |
| James | 83 | 86 |
| Alira | 61 | 67 |
| Connor | 73 | 54 |
| Edward | 66 | 59 |
| Heidi | 69 | 78 |
| Jo | 33 | 98 |
| Kai | 88 | 44 |
| Sarah | 100 | 53 |
| Piper | 75 | 78 |
| Layla | 81 | 79 |
| Isabelle | 57 | 65 |
A prize is awarded to the student with the highest combined total score from the three tests. If two students are tied for the highest score, nobody gets the prize.
As the scores currently stand, one student is able to be sure to win this prize as long as a high enough score is achieved in the final test.
What is the minimum score in the final test that will guarantee this student the prize?
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