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I'm mad at myself for making FOUR stupid mistakes:
Forgot to add the original 35 miles (#11)
For the palindrome question, I added all abc rather than abcba
For the arith/geo sequence question, forgot a<b<c
For question 24 with the absolute values (which was stupidly easy and didn't deserve to be question 24) I thought f0(x) was f1(x)!
But it's okay. I'm taking the 12B next week too. (I got a predicted 102 on this one, sadly)
Favorite problems: Question 21 and 23.
Question 21 because it's one of those "looks hard but isn't" questions
Question 23 because it's a great question.
Solution 23: Note that 991=.01=(1001+100001+…, so 9921=(1001+100001+10000001+…)(1001+100001+10000001+…).
Multiplying the first term, 1001, by the whole of (1001+100001+10000001+…). ) yields the repeating decimal 0.0001
Multiplying the second term yields 0.000001, and so forth. Thus, the decimal looks like so:
0.000010203040506070809101112131415…969799 -- note that 98+99+100 at the end turns into 990000.
Adding it up, the sum of the first 9 natural numbers occurs 10 times, so that's 450. Then the digit 1−9 appears as the "tens place" 10 times each, so that's another 450. Subtract 8+9=17 since 98 isn't counted to get 883 as the answer. ■
AMC12....expecting a 118.5, enough to make the AIME. During the test, I only focused on the first 20 questions(as I mentioned in my strategy), I skipped number 8 on due to the confusing wording of the problem, later I found out all of other participants in my school was able to do that problem. Next there was number 18, which twisted up my brain......
Other than these, I feel satisfied since I didn't leave any counting and geometry problems blank :)
I got a 132, but I made a stupid mistake on number 4. It was really easy this time; previously, I had scored 1.5 less than the cutoff almost every time.
I got 130.5 on AMC 10. Made a stupid mistake on number 4 (multiplied by 2). Finished the first 22, missed one. I heard from my friend that #23 was easy, but otherwise, I think I did well. The AMC answers are all on AoPS, so you can go on there to check.
Well, I'm taking the AMC 12B next week. Hopefully, I can get at least a 110.
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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
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You can find the answer key online with a google search. I exceeded my expectations! The test had beautiful problems, like #25, (which I skipped)
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Oh Thanks :)
The AIME cutoff's going to have to be 120 this year.
I'm mad at myself for making FOUR stupid mistakes:
Forgot to add the original 35 miles (#11)
For the palindrome question, I added all abc rather than abcba
For the arith/geo sequence question, forgot a<b<c
For question 24 with the absolute values (which was stupidly easy and didn't deserve to be question 24) I thought f0(x) was f1(x)!
But it's okay. I'm taking the 12B next week too. (I got a predicted 102 on this one, sadly)
Favorite problems: Question 21 and 23.
Question 21 because it's one of those "looks hard but isn't" questions
Question 23 because it's a great question.
Solution 23: Note that 991=.01=(1001+100001+…, so 9921=(1001+100001+10000001+…)(1001+100001+10000001+…).
Multiplying the first term, 1001, by the whole of (1001+100001+10000001+…). ) yields the repeating decimal 0.0001
Multiplying the second term yields 0.000001, and so forth. Thus, the decimal looks like so:
0.000010203040506070809101112131415…969799 -- note that 98+99+100 at the end turns into 990000.
Adding it up, the sum of the first 9 natural numbers occurs 10 times, so that's 450. Then the digit 1−9 appears as the "tens place" 10 times each, so that's another 450. Subtract 8+9=17 since 98 isn't counted to get 883 as the answer. ■
i tooko the 10A, and i got a 114. Not as good as I wished it could be, but I am overall satisfied
@Michael tong- you're 23, how you take the amc12
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read my profile -- "I'm 17, not 23!"
AMC12....expecting a 118.5, enough to make the AIME. During the test, I only focused on the first 20 questions(as I mentioned in my strategy), I skipped number 8 on due to the confusing wording of the problem, later I found out all of other participants in my school was able to do that problem. Next there was number 18, which twisted up my brain......
Other than these, I feel satisfied since I didn't leave any counting and geometry problems blank :)
I got a 132, but I made a stupid mistake on number 4. It was really easy this time; previously, I had scored 1.5 less than the cutoff almost every time.
Log in to reply
On the AMC 10, I did my modular arithmetic wrong and got #2 wrong...
lol same here :P
I feel dumb... Made a dumb arithmetic mistake on #17 [36+9=42] and ended up with 112.5
I got 130.5 on AMC 10. Made a stupid mistake on number 4 (multiplied by 2). Finished the first 22, missed one. I heard from my friend that #23 was easy, but otherwise, I think I did well. The AMC answers are all on AoPS, so you can go on there to check. Well, I'm taking the AMC 12B next week. Hopefully, I can get at least a 110.