Edexcel IGCSE 4MA1/H Demo Class

Generated automatically from the lecture captions, so spoken maths may be transcribed imperfectly.

Okay. So, asalamu alaikum everyone. This is the first class for adexl IGC higher and the subject code is 4 MA1 and we are going to prepare oursel for this exam code for the May June 2027 session. And this is just supposed to be an introduction class, a demo class and initial. I will tell you about myself a little bit about the classes that we're going to take and we also going to discuss a topic as well so that you can see that uh how am I teaching and at the end of the class we will have individual session maybe you can tell if you have something to talk to me or to discuss about your situation if you have any

questions for me we will have that as well so let's begin so a little bit about myself quickly 5 minutes I have done my own O level and A level. I have done Cambridge O level and A level and I scored nine A stars and one A in my O level. I had maths and ad maths as well. And I was a sciences student. So maths, physics, chemistry and CS, computer science and biology. So I got nine A stars and one A and my O levels, Cambridge O levels. And then I did my A levels and in my A levels I had maths, physics, chemistry and further maths as well. I don't know man how many people of you of you people um know about

further methods but that is a slightly even higher difficulty uh you can say university level maths in your A level so that was very helpful for me but I did not get the grades of further maths there had been a problem with my college and everything but I'll tell you later what happened but the physics maths and chemistry I scored ASR and all of them and my A level maths was accelerated. Uh you can say the A level math is of two years, right? AS and A2 but uh I gave the complete A level math in one in a single year and then the next year in my A2 level I gave the further maths. So these are my grades and then after my O

levels, A levels and then I did start my university and my university I did uh bachelor's of engineering in naval architecture be naval architecture. I don't know how many of you people know about this but this is ship designing, submarine designing and construction and anything that you want to design in water basically. So I know the knowledge and everything about the calculations, the physics behind it and everything and I I am right now doing a job as well related to this naval architecture and I have been teaching I think since I was your age. So it's been seven eight nine years since I've been teaching overall

teaching and then when I passed my O levels I started teaching O levels. When I passed my A levels I started teaching A levels and since then I've been teaching and alhamdulillah it's been a very good session. So I have my own academy as well. This is my own academy online academy I am affiliated with some othermies as well throughout Pakistan. So these are other techmies. So we have a complete circle. So if you people need teachers for other subjects as well just let me know and then we'll discuss what is your situation and then I can help you out wherever possible and we'll see what can be done. Okay. So

okay so what do we do this is the what do you say is the sequence we have interactive live sessions. I would recommend you all I would want you all to have your mics fixed because I want you people to participate in class as well as much as you can. You can ask uh your questions you can ask your queries and whatever that you want to if you have any problems during the lecture while I'm explaining something. So you can always message me or open your chat. Sorry, open your mic and ask me and then we will have very frequently very frequent tests a lot of tests. I think in the last session I think

overall in eight 8 months it was a session 8 n months and I used to I I took almost 17 18 tests. So some were bigger tests some were smaller tests quizzes like that. So a lot of tests. So and you will be given homework as well after every topic that we do. I will solve some questions with you in the class and then you will solve in front of me as well so that I can see that you are able to solve it or not and then you can discuss properly discuss without any hesitation no matter how many times that you are stuck somewhere just you can ask me and I'll repeat it again and you can message me on WhatsApp as well and don't wait

for the next class if you have any question if you have any query if you want to ask something don't wait for the next class you can always message me on WhatsApp and I'll get back to you whenever I can as quickly as I can and then uh inshallah this this thing continues till the end you will have your classes till the end of the till the last day of your exam and inshallah then we'll hope for you that you get a good grade inshallah and uh these are some what do you say reviews of my students I read over here maybe I'll send you this after the class if you want to read them all these are my previous

students these are the results And this is it. Okay. The main thing we we have you know we have to cover the whole syllabus right. This is the syllabus outline. You should be you should have this. Yes said. Did any of your students get ASARS? >> Yes. Look, all of these are but the thing is Ka look a star in maths. A in maths a A star A star. This one got A star in add Excel A level maths. But this A star it's it's not my achievement only. It's your achievement more than me mine. Because when you will start doing this work, you will see that if you won't do the work, I cannot guarantee you in a I will not guarantee

you right now as well. I cannot guarantee you in a unless you do the work. If you follow my guidelines, if you if you do the work on time, if you're doing the passers, if you doing the test and attending all of the classes properly, then I can have a very high hope that you will definitely get an A star. But unless you don't work a star, you won't get an A star. It does not depend on me. So these A stars that you see over here, it's not me only. Okay, I am here to provide everything which I can to you. Okay, all of the resources, all of the questions that you have, I will answer your questions, all

of the queries. But at the end, you have to do your part at your home, the past report, the homeworks and everything properly. And then eventually, you will feel more confident as well. At the end when you when you go for the exam you will feel more confident and definitely you'll get a good good grade because I cannot I'm not in touch with with the edex Pearson board that I will say that this student should get an Ara or this should get an Ara I know it's unless you >> I you will get an Ara inshallah okay >> okay >> but I I can also say right now that I have students right now which have scored D's as well because despite of me

running after them to do the work. They were not doing their part. So, how can I give them an A star if they are not doing the work? I know. >> Yeah, >> that's very logical. So, you do your part and I leave it up to B Allah and hope for the best and shall you score good. >> Okay. >> Okay. So, I was saying that this you should all be very well acquainted with the syllabus outline because now you're going to appear for the exam. This is your appearing here. You're not in class 10 or class 9 anymore. You're going to appear for the exam. So, you should know what you are appearing for. You should learn the paper pattern. You should

learn the uh the syllabus outline, how the questions will come and the overall paper pattern. What do you say the uh how many marks is it? How much time is it? You should have not for just maths for all of the subjects that you're going to appear. You should properly read their this syllabus content that they've given you the Pearson ones so that you know what you're going to appear for and this is the syllabus outline. So we will go through all of the things that are written over here. This is our guideline. No other book is a guideline. This is the guideline. We will cover everything that is written

over here because this is given by Pearson and this is what they will test in the pass in the in the exam that you will appear for. So we will we will do a topic we will take it out that we have done this we have done this we have done this we have done this and then we will do the uh questions related to it as well practice questions white sheets as well and then we'll do the passers as well but passer is the main thing okay everything your results revolves around your passer the more passers you do the more familiar you get with the type of questions that are coming and the passer the better you can attempt your passer

the better your grade will be I know most of the student they don't know about this the passer But now I'm telling you right now if you want to get good grades focus on the past maximum as much as you can after the theory after the explanation and everything understand the topic move on to the past to syllabus is we will cover everything from here from scratch because I don't know how much of you people know how much of math so this is a new group we're starting from scratch so I will go through everything that is written over here even the smallest the easiest one as well for example a number system I

know you people know tiny things about number system but there will be some things over here as well in each small topic as well that you you may not know about it. Uh let's I we'll start pick this the same the same one this number system and you'll see there are many small things that you should know but you don't um specifically pay attention to it and then you forget about it and then that it comes in the exam so then you can't do anything about it. So okay what else that I wanted to discuss this is a reference book maybe if we need to do some questions some practice questions ref so we can find some from

here I'll share you this book as well but I don't usually use this but maybe if you want we can discuss it some questions if you have any if you if you are using any book for practice don't worry keep using it okay but but keep it use very limited okay not don't just rely on the practice questions of the book because the practice questions in the books are very different sometimes than the pra than the questions that are coming in the past papers. So if you do the complete book and you have not done the pass so you're not prepared for the exam you are prepared for the test of the book we are going to prepare for ed

excel not for the book so the passers are the main thing f focus on books for the initial practice but for the final practice go for the passers topical passers for these topics in I will be provid I'm right now compiling those for you and uh slowly gradually I I'll provide them to you as well the topical password no of your specific What more? What more bus? Do you have any questions right now or I'm going to start a topic now? The number system. The first one. >> Any questions? Anyone? >> Anyone else? Any questions? Alisha, Arman, Ishal, Ibraim, Had and what is this? H A J S J G Abdullah Medi. Okay, no questions.

[clears throat] So the first topic is slippers outline as well. It is number system. It is you know very easy. We know I also know that this is an easy one. But there are some things over here that uh you should know that you might know and we will discuss it today. So number system is first of all types of numbers right? How many types of numbers do you have? Now if you people have mics I want you people to open up mics because now we will discuss rational numbers real numbers and I will ask you people to give me some examples if you have any for us to get clear with all of the topics. Uh inshallah your exam will be

in May June. So by March February March end of Feb is my target that we complete the syllabus outline everything uh with the with the initial topical passwords by February. And then after February, March and April, we would be focusing mainly on the passwords. Everything on the every day we'll do passwords, password, passwords. You will bring in questions. The difficult ones, the easier ones, we will discuss in the class. We we'll have mocks, we'll have test according to the passwords. All of the test that I will take for you of your of you people will be from the past papers. So till the end of the day sorry till

the end of the sorry the last day we will be doing the past and practice and clearing your concepts and everything. Okay. So types of numbers there are many types of numbers. Uh the first the first one is integers. Everyone knows what are integers right? Can anyone give me quickly quickly if you know it just tell me directly what is an integer? A whole number. >> Ah, nice. A whole number. A whole number which means zero as well. 1 2 3,000 as well. And there's a symbol per integers. We call it Z. Do you know about this? In the exam, they won't tell you that it is an integer. They can tell you as

well. But in a chapter we call it sets sement diagram you will see some symbols you you will see Z you will see Q you will see R. So you don't know what what are they right now but now you know that if it is written Z over here capital Z it's a little highlighted highlighted as well it means that they're talking about the integer values inteious and whole number second one integers and then we have uh let's suppose we have what real numbers do you know what are real numbers or not right no not right for example rational numbers What are rational numbers? Anyone? If anyone knows, you can tell me in the chat as well if

your mic is not working. If you know about it, otherwise I'll tell you. Uh sir, a number that can be written as a fraction. >> Ah zabas nice. A number that can be written down as a fraction. A upon b as a fraction. So you had a simple word for it fraction but now they're using a such a complicated word rational number. So for example you have five upon 7 2 upon 3 7 upon 10. If we have only n integer let's suppose 10 can we include 10 an integer in the rational numbers or not who told me it was Ibrahim I think Ibrahim can we include a whole number which is let's suppose 10 or five or seven can we include it in the integers

oh sorry can we include in the rational numbers >> depends on what whole number. >> Huh? Whole number? No, it's 10 is a whole number. But can we include into the rational numbers as well? >> Uh >> we can we can >> yeah all I think so all whole numbers are rational numbers. >> Yes, we can write it down all whole numbers as a fraction because you know it is a 10. So in denominator if there's nothing nothing written over there so it is one actually right? So 10 is actually 10 upon 1 which is again 10. If it is only five I can write it down as five upon one which is again you can see it is in whole it is a whole number it is an

integer but it can be written down in this format a upon b 10 upon 1 5 upon 1 6 upon 1. So you can say that all integers are included in the set of real number sorry rational numbers and the symbol for rational numbers it is Q. So every number is a rational number. >> No, not necessarily. Look now. Irrational numbers which is very easy to think about is a number which cannot be expressed as a fraction. Right? So can you give me an example of a number which cannot be written down as a fraction? Anyone? 0 irrational number zero integer 0 upon one we can write zero as rationally 0 upon one any other number which you cannot write

down as a fraction anyone is Alisha Alisha huh Abdullah >> pi >> pi nice pi is an irrational number. The value of pi is something like this right 3.141 592 and we'll keep on going. You cannot write down pi as a fraction. There is no fractional value of pi. If you want to write the exact value of pi it is 3.1415921. It will keep on going. It cannot be written down as a fraction. Another example is <unk>2 roo<unk> 5 we call them sides. The sides can also cannot be written down as a as a fraction. If you write root two sorry uh wait. Mhm. R2 look at is 1.41421. 4 1 4 2 1 3 5 6 2 It will keep on going as long as you

want to do it. After these digits as well, it can keep on going. So a root aside is also you can say cannot be written down as a rational number. So a rational number is like this. There's another constant as well e but leave it. Pi is more relevant to you right now. So there are numbers which cannot be written down as a fraction. Then the next one you have um real natural numbers let's suppose first one natural numbers what are natural numbers anyone >> positive numbers >> positive numbers not a very accurate half of it is accurate they are positive positive integers positive whole numbers okay are natural

numbers the numbers which you use for counting in the usual in your daily life so positive integers or is including zero sometimes some definition they include zero as well in number natural numbers some some definitions they don't include zero natural numbers but uh we will include three including zero So 0 1 2 3 4 5 6 7 8 9 10 till million or infinity these are natural and the symbol for natural numbers is natural numbers is n capital n it is something like this capital n the next one >> there's no uh symbol for irrational numbers >> they can write it down In another they can only say that the number is not

rational. If it is not rational then it will be irrational. >> Yeah. >> Okay. So the fifth one is what is another number? Real number. Real numbers. Anyone? Yes. Yes. Yes. Yes. No one. Real numbers include all numbers. All of them. All of the numbers that you have uh learned ever in your life. positive, negative, integer, whole number, decimal, fraction, rational, irrational, everything combined they come in this group of real numbers. And the symbol for this is R. Okay. Then we have decimal numbers. Everyone knows what is a decimal number, right? decimal number in which we have a decimal right 5.2

6.072 072 these are all decimal numbers and in decimal numbers further we can categorize we have different types of decimal numbers we have terminating decimal numbers terminating non-terminating and recurring non-recurring Terminating decimal means that the digits they stop after some digits right just like 5.2 that's it this is a terminating decimal it has stopped 5.2 that's it there's nothing more no more digit after two 6.072 072 this is also a terminating decimal we are not continuing it non-terminating is never ending it will keep on going just like the value this pi 3.141592 it will keep on going as long as you

want it to go so that is a non-terminating decimal does not terminate continuous this is 5.2 or 6.072 072. That's it. They're finished. Then uh recurring. Recurring means that there is a pattern in the digits of the decimal. For example, 0.3333. And it will keep on going like this. So you can see there's a pattern over here. Recur. Recur means repeating. For example, you have 0. 62 62 62. This is also a recurring decimal. The 62 62 62. These are again repeating. Non-recurring means it is continuously moving on and there is no there is no uh pattern as well. The same example pi because in the digits of pi

there is no pattern whatsoever sides also square root two when you will find it will be 1.414 and then the next one will be something else. The next one will be something else. So you won't find any pattern in the in the in the digits after decimal. In the recurring you will see that there's a pattern. Okay. These are some uh examples of decimal numbers. Then we continue. I think all of you would know what are prime numbers. What are prime numbers? Prime numbers are numbers that have only like two factors. >> What? >> One and itself. >> Ah, nice. List down the prime numbers for me, Z. >> Two, five, seven.

>> All of them. All of them. Two. Then three. >> Three. >> Oh, okay. Then 5 7 11 13 17 19 23 29 31 37 and so on so forth. What are composite numbers then? What's do you know? No. Composite numbers are numbers other than the prime numbers. So 4 6 8 10 12 14 15 16 all numbers other than the prime numbers. So you can see to note things one thing over here that one is neither of them is nor a prime or a composite. Okay, one is not because it doesn't follow the definition of a prime number. It doesn't follow the definition of a composite number. Prime number has two factors, right? One and itself. One is

has its own one only one factor. And composite number definition is it has more than two factors. 4 6 8 these all of these are more than two factors. So one again has only one factor. So that's why one is not a prime number or a composite number. What do you mean by factors? Factor. Factor. We are doing factors. Factors. Factors are numbers which can >> multiples. >> Come again. >> Multiples. >> Multiples. Factors are numbers which can completely divide another number. For example, factors of 30 are 30 itself. 15 10 5 and 2 1. These are the numbers which can completely divide 30 without any remainders outside. Huh? So ino factors

and multiples are the table multiplication you can say of that number. Multiples of 30 will be 30, 60, 90, 120, 150, 180 and so on so forth. Okay. So factors and multiples a simple thing. Take what more do we have? Okay. So we have begin from here, right? Understand and use of integers numbers. We have just understood all of it. Understand place values. Use directed numbers in practical situation. What are directed numbers? Anyone knows what are directed numbers? We'll do an example otherwise. Order integers. Order means ascending descending order. Just moving things around. Use the uh four rules of

addition, subtraction. Uh you people are in grade 11, you already know this, but easy. Use brackets. Use the term odd, even, prime numbers, factors, multiples. Look, these definitions, you should know. Identify prime factors, common factors, common multiples, LCM, and HCF. They they're talking about G. Had what are you saying? >> Uh I need to go because I have I have like another class right now. So, could you just like leave the recording on and I could come back and just watch the recording? >> Okay. Okay. Okay. No. >> Okay. Okay. Thank you. Thank you. >> Okay. Bye. >> So, finding LCM, finding HCF, highest

common factor, lowest common multiple and all of this. Then fractions, converting them into fractions and look all of these decimals, power roots, sub directed numbers. We'll discuss directed numbers. Does anyone has any idea about directed numbers? Anyone knows anything about them? Alicia, I did not hear anything from you. Where are you? >> They're up here. >> Ah, so tell me any input. Don't feel shy. Are you shy? >> No. >> Tell speak. Do you have any idea about direct numbers? >> No, I forgot. >> Abdullah, Medi, Arman, Ishal, Ibrahim. Ibrahim also had Mike. Savan. Okay. I'll tell you a number which has a size in like a

positive or negative sign. >> Basically any number. >> Mhm. Yes. You are partly correct. But that positive and negative sign of the number it denotes something. It directs you. It gives you a meaning of the positive or negative thing. For example, if you talk about profit and loss. So you write down plus $500. It tells you what the positive plus 500 tells you that it is a profit. You are gaining that if it is written minus $1,000. So the minus is telling you that you are losing that is your loss. So the plus and minus with the value with the value tells you about the meaning of that value. It directs you at certain things.

For example, one more example is uh temperatures as well. And another example is the height above and below sea level. You have we have studied in your O level sorry geography or history we have studied about the the height of mountains right I think the height of K2 the Pakistani the mountain Pakistan is something like 8,000 around I don't know 7,900 something but how did they measure it where what is the base level from where have they started measuring that they have started measuring from the sea level. Sea level is always constant, right? The sea is water all around it. So it maintains its level. So the the

height of the mountain is from the sea level. So this is your sea level and this is the mountain. So they measure this thing from the sea level. So this is + 7,900 some something you can say. And if something is below the sea level, for example, there's a submarine over here and the depth of submarine is let's suppose 150 m. So now you can find the distance between the the peak of the mountain and the submarine. You will just add 7900 plus 150. So 8,50. So the positive and negative with the values tells you what are those values actually it is directing you it's telling you about the nature of that

value in the exam the question will not give you the diagram to make you understand what is happening they they will tell you whether it's positive negative for example the temperature was first + 30 and after it cooled down it became minus is to find a find a temperature difference question like this. Another example of a question is let me show you an example. Not this one. Mhm. Wait a minute. Where did it go? Uh, look. The roof of an apartment block is 130. Okay, I'll do one question and the new people try the other one and then we will end the class. I think that is enough for today's class.

The roof of an apartment block is 130 m above the ground level. So this is let's suppose your ground level and the roof of the apartment block. This is your apartment block you can say. And this roof is 130 m above out of the ground level. The car park beneath the apartment is 35 m below the ground level. So this is the car park let's suppose and this is 35 m below. So look above and below how high is the roof above the floor of the carport. They're asking you how high is the roof from the floor of the car park. This was your car park, right? So overall is how much? It's very simple. The questions will be very very

simple. It's not a very difficult thing but you should know what is happening over here. So 130 + 35 simple 165 m. That's it. The questions if they come they will be very very easy but the thing is you should be aware of what is happening. Okay a simple question if there's any questions anyone you can ask or you can try this question number eight okay it's a simple one I'll give you 2 minutes you try this and give your answer in the chat Nalia 695. Let's see what others are giving. 695. Anyone else? 695. Abdullah Medi also 695 but say 695 everyone 695 so this was an easy question right not a very difficult one

I know people are smart people but you should know what is happening right now you know what are directed numbers so the positive negative if it is written so they can mean something and it's simple plus minus this easier question. So no need to worry about this topic. It's not very difficult. But the thing is now we are very confident that we have discussed this topic as well from the syllabus. This is our guideline. If you have done everything from here, we will be very confident in giving the exam because they cannot give you anything out of this. So yeah. Okay. Okay. If there is there I think this is

enough for today's class. If you people have any questions regarding the class or regarding the syllabus or how we will cover things or the past or anything about me, you can ask right now. And to show you people, we have this Instagram page. I think you you saw the ad from this one. And then we have YouTube as well. Aram versus math. And then we have this as well. I'm recently working on this. Huh? Why is it not working? Wait, I have just recently launched it. So it might be I'm working on this project as well properly math versus aram. I think there's a problem with this. I'll show you maybe later. But this is

something I'm working on right now. Make a website of my own with the nodes and anything. Right. And this is we have recordings over here as well. I'm also working on this but it will get better slowly gradually. Right now the main thing I'm working on this website of my let's see hope for the best it turns out good. Okay. Any any other questions? anyone. Yeah, that's it. I think if you have no other questions, I'm stopping the recording. Was it for