Transcripts of above video: Hello everyone I am Rinda and I am host for today’s webinar. Thanks for joining us today for an informative online session with Raj. Before we start I'd like to say few words about Raj. Raj, is a professional SAT tutor over 10+ years of experience. He has taught more than 5000 students globally. His session have helped students to increase their scores by a 100+ on an average. He believes that each student is unique, and learns in different ways. His teaching style is interesting and widely acclaimed. Over to you Raj. Thanks Rinda. Hi guys. This is Raj. I'm going to take you through the SAT math prep webinar today. I welcome you once again. It’s going to be a 60 min session. Let me take you through the agenda of today’s webinar to start with. Begin to discuss the SAT math structure. How many questions? How many sections? What are the topics? What are the question formats? We are going to follow that with 6 Secrets to rock your SAT Math continued by some points related to how to score 700+ in the SAT Math out of 800. Before we start with all of this I request all of you to use the chat system in the bottom of your window to ask your questions. Type them in the window. Any questions during the webinar can be typed in the chat system. Hope all of you clear with the instructions. Let's have a start. The SAT Math has two sections, namely calculator section and a non calculator section. The calculator section last for 55min and has 38 questions to be answered. If you want to note down, you may note down. For the most of you have started your preparation, you must be aware of this. For the benefit of all, I am recapping all of this information. 38 questions to be answered in 55 minutes are distributed into four broad Math areas. Like can you think you can see on the screen that they not evenly distributed. The names of the topics according to the college book are given below:
Heart of Algebra
Problem solving and data analysis
Passport of Advance Math
Additional Topics in Math.
Like you can see, in the math calculator section most of your questions would be from the area problem solving and data analysis. What forms into this broad math area? Are Math topics like Ratio’s, Averages, Percentages, and Rates. All of these topics that you would have learned or you would have been expected to learn much below your 10th grade. Right, the next most contributing area to calculator section happens to be the Heart of Algebra which has 11 questions followed by Passport to advance Math 7 question and additional Math topic has 3 questions. The heart of algebra the math area would include topics like: Linear Equations in one variable, two variables, Linear inequalities and one variable and two variables. The passport to advanced math is all again related to algebra but then they are not the linear ones. The quadratic equations, the equations to rate or the polynomial equations. The additional math topics which contributes the least to your overall SAT Math has topics like geometry, trigonometry, imaginary numbers and so all. The Data Analysis part of your problem solving in Data Analysis has questions from topics like scattered plots, tables, line of this depict and so on. Let's move on to understand the non calculator section. The non calculator section has 20 questions to be answered in 25 minutes. Now like the names suggest the not calculator section is one in which it not given access to a calculator and most of your questions in the section would not require the calculator. However, the calculator section that we can discuss about earlier, you will be given access to a calculator. The calculator section has to be obviously got by you to the test centre and most of your questions may not need a calculator in the calculator section as well, but some of them which do need a calculator. You can use a calculator to solve them. The calculator that is suggested by The College Board is the graphical calculator either from Texas Instruments (T.I) or Casio or some other companies that you can get to know from The College Board website. Different model is accepted all of them listed on The College Board website. Now in the non-calculator section again how the questions split this twenty questions, most of them from the Passport to Advanced Math. I recall the topics that fall into this:
Exponents and Roots and so on.
Heart of algebra the linear equation, the linear Inequalities and so on topics. Those contribute 8 questions to the 20 questions. Again the additional topics in math: the once geometry, trigonometry and imaginary numbers and so on. They would only contribute only 3 questions to it. To summarize, most your questions on the SAT math. The calculator and the non calculator section combined are from your Heart of Algebra which are 11 questions in the calculator section and eight questions in the non calculator section over all adding up to 19 questions out of 58 questions. The next most contributing area is your problem solving and Data Analysis, which has 1 question. The Passport to Advance Math in the calculator section 7 questions and the non calculator section 9 questions as 16 questions over all. The additional topic in math category has three questions here and three questions in the calculator section which contribute to 6 questions. I would like to remind all of you to have the questions typed in the chat system in case you have during the webinar. Anything that you want to ask can be typed in the chat system. Now, the question format wise. You have most of these 58 questions as multiple choice questions, where you have 4 answer choices from which one of them is right. There's no negative marking for a question that's got wrong. And few of those questions out of the fifty eight are not going to have multiple choices, where you've got to calculate and you got to bubble in the OMR sheet. Now in the calculator section you would have 8 such questions where you don't have multiple choices. In the non calculator section you will have 4 such question, where you don't have and the choices. I hope I am clear with all of this, but of this could have just don't give you any questions. If you want to. Please do type into the chat system. I hope all of you are waiting for those secrets for SAT Math. Let's move on, before move on the secrets. I have also told you that what's requires to score 700+ on SAT Math would also be discussed. Now everybody puts some amount of effort, the more the effort you put in the greater the score you will get, but then effort is not just going to be enough for increasing the pace of preparation. Let's look at what else is required then. You’re effort and some motivation is required. What does motivation is from. Is from a Mentor? is from a trainer? it's from a tutor, not just knows it best but also knows everything that is required to get it 800/800 on the test. But then this is also going to be much better, much faster score improvement is possible. If the effort from yours side and the motivation from the trainer side is also taking help of the technology. When I say technology, the test you take the practice during your preparation. If you're just taking those tests, It's not going to be enough. You got to take a positive feedback from the test that feedback is best done using technology, where a score that gets generated giving you details of what are your strengths? and what are your weaknesses? What are the questions that you got wrong or right?. What are the topics in which these questions fall under? How much time did you spend on each of those question? and such and such reports. A detailed score report would always be helpful to improve your school and the next test that you take. But then this is not all of it, you also need a test taking strategy. Apart of the strategy is about how to pace the test? how do you manage the time on the test? All of this, put together is going to make the slope of the graph steeper. When you had just effort your graph looks like this, when you had a little more motivation from the trainer your graph look like this. You take the help of technology. You grow faster and you have a strategy in place, then your score improves the fastest. I hope you know what the slope of the line means. This is the path of SAT Math. Let's move on to understand the secrets now. The six secrets that we at Fabmarks have identified to get the nice score on the SAT Math. Let's look at them one after another. The first thing that we have named it is called “Know the Math Cold”,what does that mean you should be ready clear on the concept part? The earlier SAT was more on analytical skills, that the test taker was tested on. But in this time the test is all aboard with a year where he cleared about each and every concept did you are tested on. But then that's not going to be all of it. This is just one sixth. Let's understand this using an example question: I read the question for you. Q: If Alex can complete a certain job in 6 hours and Ben can complete the same in 10 hours. How long will it take to complete the job, if both of them would work together? The first thing to do is to identify the questions topic. This is the question that falls under This is a question that falls into cost problem solving and get an Alice's way to say the topics: Problem solving and Data Analysis, were is said the topics are averages, percentages, ratios, distance- speed and time, work and time and so on and this question is a Work and Time question. Where you got to know the formula for work and time? What's a formula of work and time, however work and time are related to each other. Work= (the speed at which somebody is working) X (the duration for which he is working). This is the only formula that would be required to solve this question. Let's look at the solution. Alex can complete a certain job in 6 hours, let’s say Alex, the time taken by him is 6 hours. The work done by him is one full job. The speed at which is walking can be devalued from the formula Speed=work/ time. So that's going to be one full job, so six hours, so 1/6th off the job. At the same time Time taken the person Ben has taken 10 hours and speaks about both of them working together. So if A and B walked together the combined speed would be one 1/6 less 1/10. That's going to be = (10+6)/60= 16/60. This is the amount of job that both of them can do in one hour. But then what are you asked to find in the question is how long will it take to complete the job if both of them book together. So you are asked to find the time which is given by a work by speed. The work is the same one full job or the speed is now 16/60. Calculating this, as 60/16 you get this as 3.75. So which of the answer is going to be the right answer is B. Am I audible to all of you. I mean already built on a few. OK. Oh. Yeah. Now, this was a very, very conception way to do this. We used the formula (Work= Speed X Time)and then we found individual speed of each of those persons. We combine to find by in speed then we again applied it to the (Work= Speed x Time). to get our duration as 3.75 is the time taken by both of them, turns up to be 3.75 hours. Any questions that anybody has to ask about this, you may type in to the chat system. All of you able to hear me. Yeah I can see the names Lakshit. Topic you suggested on. So these topics are expected to have been covered in your 10th grade or below that, may be in your 9th. Okay, but then can you get all of this concepts. It’s to warm up a sense on that particular topic and then those topics. Right. But then I just hope this question is clear and let’s move on to the next. Now though we're all expected to be very good on the concept. We also should be ready to guess on the test. When would somebody have the need to guess is either he doesn't know how to solve it. He is falling short on knowing the concept or even if it was a concept is not enough time to do all of that math in that case, You go with the elimination process. How do we eliminate answer choices that are wrong and improve your chances of guess answers to gets it right from a mere twenty five percent to as high as hundred per cent. Let's see understand that any elimination process using the same example now or not. We did a lot of math to do this question the same question. Let's understand how do we eliminate answer choices if you have not enough time to do all the math or we just do not know how to solve that using the concept and if you have ANY given the same question. Alex can complete the job in six hours and Ben can complete the job in 10 hours. How long will it take to complete the job, if both of them work together. If I randomly guess those answers of these 4 answer choices my chances of getting right is 25%. 1 out of 4 is 1/4 which is 25%. But then if I do apply some logic that if I am able to complete the job in six hours and somebody else is helping me out then both of them both of those together we should be able to complete in less than 6 hours, because I intuitively was able to complete the job in six I was and if somebody has helped me then it should be taking me less than 6 hours and not more than six hours or equal to six hours. Just applying the simple logic. We will be able to eliminate which of the answer choices. It cannot be C. it cannot be D, both of those are greater than or equal to 6 hours. If Alex were able to do the in 6 hours and Ben is joining him then it's definitely going to be less than 6 hours, so one of these answer choices is going to be your right answer. Now when you had to then and you had to guess from 4 of the answer choices, your chances of getting it right was ¼, which is 25%. Now if you have a guess from one of these two answer to choices it chance of getting it right is 50%. and I remind you that there is no need to do mocking So it's not going to make sense if you are not answering a question, you get it wrong does not matter. At least you have a chance that you get it right when you attempted it. So the important point is to not to leave any question unanswered on the test. Some simple logic like this is going to eliminate the wrong answer choices now amongst these two if you apply some more to logic you may be able to eliminate one of those two and to choices. But then the whole point of the secret was just to show you that the 25% chances of getting it right, increases to 50%, if you are doing the elimination process. Now we didn't do any math in this, like the earlier secret case, the earlier one expected you to know all the concept. But then this process will help you, eliminate few answer choices. one or two or three sometimes in the SAT, that questions are designed and the answer are designed in such a way that there is scope to eliminate the answer choices in most of your SAT questions. I hope this point is clear. Let’s move on now. The third thing, what we have named it is ACE IT. You got pace the test. It's the best meaning but to maintain your speed ace your test. Do we know what the test. You're just not if you don't you're not just going to make it if you know the concept but then you also have to do it in the given time which in this Redesign SAT challenging you have 38 questions to be answered in 55 minutes. You have 20 questions to be answered in twenty five minutes. That's going to be too high. But then some techniques are going to make it easier, like let's have a look at the question to use to understand. This question is too lengthy, too wordy. In a certain country, tax liability on an individual’s annual income is calculated according to the following tax slabs: (0-2,50,000)- 0% of the income below 2,50,001 (2,50,000- 5,00,000)- 10% of the income above 250000 & below 5,00,001 (5,00,000- 10,00,000)- 20% of the income above 5,00,00 exceeding 10,00,000 (Above 10,00,000)- 30% of the income exceeding 10,00,000 You are finally asked what is the monthly take home of an individual, whose income is 18,42,000 and amount of 1,20,000 is deducted from his gross total income before the tax liability is calculated,as he pays an installment of 10,000 every month towards home loan repayment. Now this question different from the earlier questions that we have seen. This is too wordy, too long, Right, too much of information Now it’s taking a lot of time not solve this but to read the question and understand what the question is all about and when you see the question popping up on SAT test paper. The best way to do, the best way to approach this is to say. I’ll get back to you. Right, now you can toggle between the questions as long as you are within the same section but once you are done with the section you move to the next of section you cannot come back to a question in the previous section. That's how the test is administered. So if you are looking at such a question in a particular section and you just say I'll get back to you later and move on. We'll look at the solution of this question don’t worry about that. But in the only secret that was conveyed to you is pick and choose questions that are simpler for you to solve first. Complete all of them. And then come back to those questions that would have been lengthy or difficult or challenging. This is one nice way to manage your time in the test. The next secret is named as “BE EXTRA CAUTIOUS” extra cautious of what, of common Pitfalls. Let's look at question to understand this better. I'll give you some time to try solving this question. Yeah, What if you didn't see the screen. Q. If (x(x√(2))=(√32/x)">(x?(2))=(?32/x)(x?(2))=(?32/x)), then what is one possible value of half of x">xx and your give answer choices.
All of you can take 2 minutes to try solving this question first and you can type in your answers that you think was right in the chat. It's 3.59 pm now. I am giving you two minutes, I am starting the time now. Lakshit have answered it, Vivian has answered it too, Olia has also replied and lets learn have also replied. Yashus have also done it. Vivian is very confident about the answer I guess. And you've been typing it twice but this is the third time I guess. I hope all of you have answered it. Anybody who is left out? Yeah this happens to be a simple question. Let's understand the topic this falls into the Passport to Advanced Math, were you have roots and exponents topic. Vivian correct answer is D when I said he that's mighty fine OK I thought it was how do you define nicety That's OK now. Due to simple question one observation that needs to be made is not all of you have got the same answer. What I feel as good as any and not there has got just be another has got to see and this one was good because D.S. said. So that's a choice as I think I've been even to distribute it. I want to be OK. Friday. OK Now any of fuel. And to get a cure says I'm getting another half a minute to really walk on it and critic yourself. I'm not still to any of the incidents right. We'll discuss that one minute to recheck and correct youself. OK. It says x/√2=√32/x">x/?2=?32/xx/?2=?32/x. I thought it was 2 but now you have corrected yourself. You thought it was C but now you have corrected to B okay. Any more corrections. Let me check your confidence level is all for your answer. Each If you let me know how confident are you in percentages. Let’s say that say maybe and you can see that this am 80% confidence or Alia you can say 100% confidence. Okay Vivian say 100% correct. OK how would others, Lashlen than you should so Yash is also 100%. Lashlen is fifty percent OK. How about others. Alia zero%. Fine. Okay lets see to start the solution before I step lakshit says 80% good. Let's do this, now before I start the solution. Let me tell you that. This is something that all of you would have known how to solve. I revealed the secret , That you were just expected to be very careful about with the pitfalls. What are you doing to care and show what if you would have crossed multiply making >>>> x*x= √32∗√2">?32??2?32??2, am I right? X*X=x2">x2x2 , x2=√64=8">x2=?64=8x2=?64=8. Now, the rule of roots of exponents that we applied in this case is
Another rule we applied to this rule is:
x2">x2x2= 8, x=√8">x=?8x=?8x=2√2">x=2?2x=2?2 But then we don’t find the value 2√2">2?22?2 in our answer choices. That’s because you were asked to find the half of x.Now I am sure that all of you are clear of what the answer is? And who had got the secret right. Half of x is goint to be √2">?2?2. What would be the right answer?. OK, you know 100% confidence is got you a 100% right answers too. Now, key takeaways from this question is not only tested on the concept but we also in the concept. We also should be careful about the pitfalls where the ones that went wrong, maybe have done x2">x2x2=√64">?64?64x=8">x=8x=8, (1/2)x=4">(1/2)x=4(1/2)x=4 For those who have got 4 as your answer would have done this. Now when you did this x2=√64">x2=?64x2=?64 and you got x=8, then you're just canceling off square and square root which is not the right method, if you had x2=√64">x2=?64x2=?64 Then you would have concluded execute a sixty four. This would have been done. Right, here this is a square and this is a square root and if you do this then you're not doing that I right method. Right, that was one of the pitfalls and another pitfall was if it all 2√2">2?22?2 was there in your answer choices for example then in a time bounders there's every possibility that you have big this and no ignoring what exactly was asked. It was not asking to find about X. who asked you to find about value of half of x. So in that case again there's another pitfall in that you should be very careful about. I hope it's clear to all a few what the secret of this test was. Be extra cautious of common pitfalls. But those of you who have joined later I would like to remind you that the recordings would be made available and each of you would be individually mailed and the recording would be shared with each of you after the session. Any questions that you have so far, Okay Alia is forgotten to have the value of x, that was one of the pitfalls. Okay, Yash says square on both the sides. How many of you have you're clear about the solution of this. And now think that the answer should be A. (√2">?2?2). The preparation of test is all going to be about this:
Knowing where you go wrong?
Knowing the concept?
Knowing how the questions are design?
How do the answer choices of design?
How do you eliminate answer choices in case you have to guess?
How do you pace the test, when it is a long question, lengthy question say to it I'll get back to you and more on with the test?
Let's understand how to prepare in which type of question. You have to use the most of the relevant material to do this first. You have to get the help from professionals second. Those who have not just experience in training you but also have known the test. They, themselves taken the test they know how the questions are designed and so on. And you also have to have a very systematic plan of preparation. Saying how many questions of each type would you want to practice? How much time do you want to allot to the preparation? How do you schedule all of that time that you have? Each day what you want to do? That's all going to be a part of your preparation. Have I answered your question or did you have anything else? All right, while you're taking a poll and you get an idea of what are all the key components of a SAT Math preparation or A SAT preparation. They're going to test simulated ones, Mock test, the Math path, the reading and the writing part, the score reports I hope all of you have give your poll. OK Let's move on. That's a few more secrets. Not All Equal is the next secret. What does it mean? The 4 broad math topics that we have seen at the beginning of the session: Heart of Algebra, Passport to advance Math, Problem solving and data analysis and additional math topic. Not all of them found to be of equal number of questions to the test. Who does the max? is the Algebra. Most of your questions on test are from Algebra. It's the lion's share. So knowing these, how do you act is. Don't be afraid of it. Don't blame it. Just tame it. What is tame it. Just practice a lot of algebra questions. You know what kind of topics are there, what going to questions are there in algebra? Master it and then move on to the next priority area. Let's look at algebraic question to understand. How would algebraic question can look like, the passport to advance map or the heart of algebra. This is a question which says, if f(x)= x-2, g(x)= x+2. For the value of x at which f(x) equal half of g(x), what is the value of g(x). Does it is asking us to find f(x) or g(x)? Its asking the value of g(x). I repeat the question, if f(x)= x-2, g(x)= x+2. For the value of x at which f(x) equal half of g(x), what is the value of g(x)? Now this topic, this question is from is a function. Then this comes in the area of Heart of Algebra. Right, do you want to try on this. Okay, take 2 minutes to try and reply your answers in the chat. Okay, Vivian has asked us what is reading and writing test? Your SAT is not just about the Math but also about the English. The English has 2 sections: One is testing your own reading and one is testing your own writing. OK ishes as you were asking about another question similar to this. You can try just one. Alia had answered it as 6. Yash has also said 6.Vivian also as 6. Alia has a nice question. How you prepare SAT in a weak. Okay We'll get back to this question later. Interesting. Let's learn has also said 6 and this time more or less all of your unanimously opting for the answer C. like earlier I would also again give you another minute to connect yourself. I'm not saying you're wrong yet. I'm just giving you another minute to recheck. Go through the question once again read it carefully. It's not asking you the value of X. There's a message. Vivian says Oookay and Yashus has corrected himself to 8. And how did this. How about other? and Alia’s also agreed that it is 8. Let’s learn you want to maintain 6 let’s learn. Lakshit says that it is C. Lets learn want to maintain it as 6 election. OK luck should say as it is C. Okay, let’s try solving this. What you asked is for the value of X at the which f(x)=1/2 g(x). So let's form the equation first. f(x)= ½ g(x). What x-2 = ½ (x+2). So you cross multiply or you multiply with 2 on both the sides. >>>2x-4=x+2 Subtract x from both sides and numbers on both the sides. >>>x=6 This was something that more stuff you have got it right. But in the answer, is here and not here, which means you have made it to a point but then you have not had the bull’s eye. What have you ask to find. What is the value of g(x)? So, the value of x at which f(x) = ½g(x). What is the value of g(x). So now you have got x=6, now you are suppose to find g(x), which is given in the question (x+2) Or g(x) or g(6) would be (6+2), which is equivalent to 8. What should be your right answer then? How many of you agree to this now? Let’s learn say D.. Okay, How about this. Yash have also said it is 8. Was there any pitfall in this? Yeah. The question was not asking about the value of x. But the value of x that you have got is also there in the answer choices. In the time bound test, where speed is high. There is every chance that you pick 6 and you move on and don’t realize that you have made an error. Come out of the test centre So we asked you how did you do it would definitely say I've got all of the questions right, because you did all the math you knew all the math. There's nothing that you didn't know in this. Except that you got. Be very careful about what the question is asking you to find. OK, OK More questions see OK. Now this is another algebraic question that we have seen. a lot of added to the questions. Heart of Algebra and the US would want spend lots of them have X. Y. and Z. all of them. Those of you who are a worst to algebra be prepared mentally to learn the algebra and enjoy too. Now the math is fun, when you know the concepts. You do some practice and obviously when you get them right. The at Last Secret that you look at this is Wordy, Don't worry, so my question is time is little bit. How much to prepare. OK Lakshit. The time is limited but how much to prepare? Very Good. We come to the time required for the preparation and also discuss individually. How much time do you exactly have for your preparation? I mean, which tests are you taking? Are you taking November test or you're taking the December test? Are you taking January test? Are you taking March or April? Which test are you taking? December test, Lakshat, if you are taking December test, you almost have a month. I think this should be fine. One month is still Okay, compared to people who wanted to get all of the SAT in just a week. It's much better. November Alia, we will come to your November test, sure at the end, but I think I mean one week is definitely very small time period. I hope you have started in your preparation. You have done some part of it. I will tell you what is to be done in this last week before you actually take the test, if you've done some preparation. Let's look at last secret for today “WORDY, Don't Worry”. What does this mean? There ar e questions which are lengthy, the one that we have seen earlier. In a certain country, the tax liability on an individual blah, blah, blah, blah, blah, blah, blah, blah what is a monthly take home of the individual, whose income is 18,20,000, this is a very long question. Now this is a wordy question but then it need not be a difficult one to solve. Right, Now what all this question wanted you to do was: First thing to note down the key information which is 18,20,000 is somebody’s income (Gross income) in a year. Correct, Now there is another key information that's given here 1,20,000 is to be deducted from his gross total income before you calculate the tax. So you subtract 1,20,000 from it and you get 17Lakh as the taxable income. Now the 17, 00000 is not undergoing a uniform tax. Am I audible? Okay 17,00000 How is that seventy lakhs to be taxed is? The first 250,000 doesn't get taxed fifty one fifty thousand one to five lakh is there an amount of two. I don't off next to get on bitch. There's a ten plus tax. So ten percent of two and a half. Next up so to be 25,000. Now. From the five lakh rupees or a dollar to the 10,00000 Rupee or dollar the incurring of cost of 20% on the tax, 20% is tax. So what is the range from 500,000 – 10,00,000 is another 500,000. First you deduct 5 Lacs from it to get. How much is the remaining income 12 Lacs. Out of which 5 Lacs is tax 20%. 20% of 5 Lac turn to be 1 Lac. You still have out of 17 Lacs. You have done, with taxing 10 Lacs, because the first 2.5 Lacs was 0% tax and 2.5 Lacs you have given 10% of it, another 5 Lacs you have given 20% of it. Now, what is the remaining income? Subtract 5 Lakhs from 12 lakhs you get 7 lakhs as rest of your income. On this 7 lakhs there is a tax of 30%. 30% of 7 lakhs turns out to be 2,10000, was the total tax amount now is 2,10000+ 100,000+ 25,000= 3,35,000 Now the person’s income was 18,20000. He has paid 1,20000 toward the home loan repayment. He was left with 17 Lakhs, out of which he is incurred 3,35,000. What’s his net take home? Is 13, 65,000. This is per anum. But then you are asked, what you are asked finally. What is the monthly take home of the Individual? So, how many months in a year? 12 So divide 13,65,000/12. This is going to be the monthly take home of the individual. This is the lots of calculation. This is definitely going to be in calculator sections. Right,and you don't have to worry about this calculations part. You will have an access to the calculator in such a kind of question. The only thing that you've got to know is the approach to this question is these is going to take time to read it, understand it, get hold of the key information in this, work out through the calculations and finally get your answer. So that realization of that, after that you do. OK I will do that question and get back to this and that is your approach. They're not going to be too many such wordy questions you don't have to worry about that question too. Whenever some question popped up like this, Okay, people may not understand X.. OK. Thanks. OK This is 17,00,000.This is 250,000. Now the numbers are big but they are manageable still. You know graphical calculator that you're expected to get would be able to manage this numbers and the calculation
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