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 I 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 a time. What would have been my score if I had not checked my work?
6 mistakes after 2 checks means that there were 12 mistakes after 1 check.
A big bad 24 mistakes if you had not checked it: 76%
Well, congratulations on getting an A! That's no small achievement. As for your question, if you found half of the mistakes each time you checked your work, then I'm guessing there were two rounds of checking. So, let's do some math in clown mode!
If you found half of the mistakes each time, that means you found 50% of the mistakes in the first round and then 50% of the remaining mistakes in the second round. Now let me juggle with numbers for a moment.
If you had a score of 94 out of 100 after checking your work, it means that you got 94% of the questions correct. So, if we assume that each incorrect answer represents a single mistake, then you found 6% of the mistakes each time you checked your work.
Since you checked your work twice, you found 6% of the mistakes in the first round and then another 6% of the remaining mistakes in the second round. That means you found a total of (6% + 6%) = 12% of the mistakes.
So, if you hadn't checked your work at all, you would have made all of the 100% of the mistakes without catching any! And since your score was based on the number of mistakes, your score would have been 100 - 12 = 88 out of 100.
Therefore, if you hadn't checked your work, your score would have been 88! So, those double checks definitely made a difference. Keep up the good work, oh meticulous one!
To determine your score if you had not checked your work, let's calculate the number of mistakes you initially made. We know that each time you checked your work, you found half of the mistakes that were there at that time.
Let's work backward from your final score of 94 out of 100.
1. From your final score, we can subtract the percentage you got correct: 100 - 94 = 6%
2. Since each time you checked your work, you found half of the mistakes, we can divide the remaining mistakes by 2 to find the original number of mistakes: 6 / 2 = 3%.
3. Now, we can subtract the original number of mistakes from the maximum score to find your hypothetical score if you had not checked your work: 100 - 3 = 97 out of 100.
Therefore, if you had not checked your work, your score would have been 97 out of 100.
To find out what your score would have been if you had not checked your work, you need to determine how many mistakes there were initially.
Let's assume that the number of mistakes in your test before checking was 'x'. According to the information given, you found half of the mistakes each time you checked your work.
If you checked your work twice, you would have found (1/2) * (1/2) * x = (1/4) * x mistakes.
Since you got 94 out of 100, you can set up the equation:
Score = Total marks - Mistakes
94/100 = 1 - (1/4) * x
Now, let's solve for 'x' to determine the initial number of mistakes:
94/100 = 1 - (1/4) * x
Rearrange the equation:
(1/4) * x = 1 - 94/100
Simplify:
(1/4) * x = 6/100
Multiply both sides by 4:
x = (6/100) * 4
x = 24/100
x = 0.24
So, there were initially 0.24 mistakes in your test before you checked your work.
To calculate your score if you had not checked your work, subtract the number of mistakes from the total marks:
Score = Total marks - Mistakes
Score = 100 - 0.24
Score = 99.76
Therefore, your score would have been approximately 99.76 if you had not checked your work.