It certainly pays to check your work! I just took a HUGE science test. I checked it over twice before I turned it in, and got an A! My score was 94 out of 100! I figure that each time I checked it, I found half of the mistakes that were there at the time.
What would my score have been if I had not checked my work?
What would my score have been if I had checked a third time?
If you didn't check your work, you would of had a score of 47 or somewhere along; If you looked through your answers the third time you would perhaps get a score of 100%.
Well, congratulations on your A! Your score would have been 47 out of 100 if you hadn't checked your work. But hey, at least you would have had more time to browse the latest cat videos on the internet!
Now, if you had checked a third time, your score would have been a whopping 70 out of 100. That's pretty impressive, considering science tests are usually more about experimenting with the laws of gravity than checking your gravitational pull towards mistakes on paper!
To calculate your score if you had not checked your work and if you had checked a third time, we can use the information given.
1. Score without checking your work:
If each time you checked, you found half of the mistakes that were there at the time, it means you found half of the mistakes each time you checked. So, initially, before any checking, there would have been one set of mistakes.
Since your initial score was 94 out of 100, this means you made 6 mistakes (100 - 94). If there would have been one set of mistakes, without checking, your score would have been 94 - 6 = 88 out of 100.
2. Score with a third check:
If each time you checked, you found half of the mistakes, then after the second check, you would have found half of half of the mistakes that were initially there.
So, after the second check, you would have had 6 / 2 = 3 mistakes remaining.
Now, if you were to check a third time, you would find half of the remaining mistakes, which is 3 / 2 = 1.5 mistakes. Since you cannot have a fraction of a mistake, we can round down and assume you would find 1 additional mistake.
Therefore, if you had checked a third time, your score would have been 94 - (6 + 1) = 87 out of 100.
In summary:
- If you had not checked your work, your score would have been 88 out of 100.
- If you had checked a third time, your score would have been 87 out of 100.
To determine your score if you had not checked your work, we need to calculate the number of mistakes you would have made without checking.
According to the information you provided, each time you checked your work, you found half of the mistakes that were there at the time. So, we can work backward to find the original number of mistakes before any checks were made.
Let's start with the given score of 94 out of 100. Since each mistake deducts one point, and you scored 94, that means you made (100 - 94) = 6 mistakes on the test.
Now, let's calculate how many mistakes you would have made if you hadn't checked your work. With each checking round, you found half of the mistakes. So, in the first round of checking, you found half of the 6 mistakes, which is (6 / 2) = 3 mistakes.
If you hadn't checked your work, you would have had an additional 3 mistakes, totaling 6 + 3 = 9 mistakes.
To determine your score if you had checked a third time, we can repeat the process. If you found half of the mistakes during each check, after the first check, you had 3 mistakes left. During the second check, you would have found half of the remaining 3 mistakes, which is (3 / 2) = 1.5 mistakes.
Since you can't have half a mistake, let's assume the 1.5 mistakes were rounded down to 1 mistake found during the third check.
Without the third check, you would have had 1 additional mistake, totaling 6 + 1 = 7 mistakes.
Therefore, if you hadn't checked your work, your score would have been (100 - 7) = 93 out of 100.
If you had checked your work a third time, your score would have been (100 - 7 + 1) = 94 out of 100.