04 JUNE 2026 14:30 - 16:00 MATHEMATICAL LITERACY GRADE 12 PAPER 1

Ajouté : 2026-06-05

[00:16:50]Heat. Heat.

[00:17:14]Hey, hey, hey.

[00:17:40]Heat. Heat.

[00:18:01]Heat. Hey, Heat.

[00:18:44]Do you want to do?

[00:19:42]Hey, hey, hey.

[00:20:50]Heat.

[00:20:57]Heat.

[00:21:23]Hey, hey, hey.

[00:21:45]Heat. Heat.

[00:22:43]Heat.

[00:22:55]Heat.

[00:23:30]Heat.

[00:23:49]Heat.

[00:25:57]A very good afternoon to our lovely grade 12 learners. Welcome to today's mathematical literacy lesson. Remember that my name is Mamban Gana and then the lesson is brought to you by the Hen Department of Education in collaboration with the Sabono Discovery Center. Boys and girls, it is that time of the year where you are busy with your midair examination. I hope you are doing very well so far. So in today's lesson we are going to revise our paper one.

[00:26:38]Uh boys and girls remember paper one is based on all the work that you did in term one. All the work that you did in term one. I understand that most of you have actually covered term one and term two. That means you have actually covered about 70% of the ATP. So that simply means you are left with 30% if you did not complete everything.

[00:27:11]Remember the remaining part will still be done in term three. But I understand that most of the schools have actually covered all the work even the one that was supposed to be covered in term three. But nevertheless, we expect the examiners to set the question papers based on all the work that was covered in term one and term two. But in today's lesson, our forecast is going to be um on term one's work. So term one if you check your ATP you will see that from all the way at the beginning of the year the first week you did financial documents and then you went to the second week you did taxation that is where you did income tax you did VA you did URF and then you went to week number three that is where you did tariff system and then you went to week number four that is where you did income common expenditure. Then you did cost price and selling price and then you did an introduction of data handling that is developing questions. You did summarizing data. You did representing data. You did probability. You did uh interest and banking. You did exchange rates and inflation. I'm just trying to summarize everything that you did in term one. So just to make sure that you prepare yourself very well for paper one and you will study the correct subtopics your focus will be on term one's work.

[00:28:52]If you are not sure about that please check with your teachers so that at the end of the day when you go and do the final touchups you are sure about which topics you are going to write about. As you can see on my screen or on the screen you will see that the focus is on paper one exam revision.

[00:29:14]Of course I'm not alone. I'm with my colleague methology. Yeah. Okay. So the other thing that is very very important is you need to know the structure of the question paper. What is expected? Um so in paper one okay there remember the paper will be about 2 hours and that is going to be out of 100 marks. Now out of 100 marks we know that you need only I mean you need at least 30 marks you need at least 30 marks to pass each paper.

[00:29:49]However we all know that 30% 30% it's not actually enough. We actually expect you to get way more than 30%. We expect you to get way more than 30 marks in this case. However, you must expect the following question paper might consist or should consist of at least four questions if not five. So question one will be finance and data handling. Okay.

[00:30:25]Now boys and girls as I always say to the learners that question one even if you can go and check the previous question papers question one always consist of the easiest questions the easiest questions that you can come across in the whole question paper.

[00:30:44]Therefore, I always tell learners that please make sure that you answer each and every question.

[00:30:52]By answering question one, by getting everything correct in question one, you will see that um you would have at least 20 marks, at least about 20 marks. So, but it consist of the easiest questions.

[00:31:06]If you find yourself if you find yourself having a challenge with question one, it means chances are you might have more problems with the rest of the questions because question one consist of the easiest questions. And then of course you're going to have question two.

[00:31:26]Question two is going to have finance and probability.

[00:31:30]Okay. Question three, data handling and probability. And then question four, it's a combination of finance and data handling. So you can see that finance and data handling is everything that you did in term one. So like I indicated question one finance and data handling.

[00:31:49]Question two is going to be mainly finance. So the examiner might add a little bit of probability. Question three is going to be data handling only.

[00:32:00]It the examiner might add a little bit of probability. And of course if we have question four, question four will be a combination of finance and data only. If the examiner decides to add question five, question five will also have a combination of finance and data only.

[00:32:23]Okay. So in today's lesson, as I indicated at the beginning, it's very very important for you to to understand the structure of paper one. By understanding the structure of people it simply means you know very well which subtopics.

[00:32:39]Okay remember we we speak about topics we speak about finance and data handling but what is it that is under finance and what is it that is under data handling. So there we are talking about the subtopics. Okay you must be able to work with previous question papers. Now boys and girls at this stage um you might have different question papers from different provinces uh I mean the previous question papers please make sure that you also try to answer those question papers yourself. Now it's like imagine if you were in grade 12 last year and you happened to receive that question paper.

[00:33:26]Would you be able to answer all those questions or would you be able to answer most of the questions in that question paper? Then you know that if you would be able to answer most of the questions in that question paper it means you were going to pass. And if you were going to pass why not now? If you're doing grade 12 this year, it means it is also possible that whatever question paper that you're going to receive, whatever questions that are going to be in the question paper, you'll be able to answer them. So, very important um that even after the lesson just get a question paper, a previous year question paper especially the June examination one, the June provincial question paper that is the one that you have to look at.

[00:34:11]Okay. Now boys and girls, now just to test your memory, just to test your brain, just to check how brilliant you are, just to check if you can remember some of these terminologies. Okay, so in this uh slide, I've got the baseline assessment. Then we're going to check the terminologies. Now, boys and girls, terminologies are part and parcel of the subject. However, we do have I think maybe about 100 terminologies, okay, in med over 50 terminologies in in paper one terminologies for finance and and data handling.

[00:34:55]But we don't want you to go and spend the whole night or most of your time memorizing the terminologies.

[00:35:04]Okay? If you will just read it once and then you try to think of explaining it in your own way as long as it makes sense at the end of the day that is what is important because we don't want learners to go and spend most of their time memorizing terminologies and then at the end of the day you only find one terminology in the question paper or you'll find only two terminologies.

[00:35:27]Okay. However, we have seen a trend in the recent question papers where the examiners are actually giving learners the terminologies and their explanations. In other words, it's either match column A and B where they give you a terminology and they give you the possible explanations. So, in that case is if you had read it once, you should be able to remember it. It might not be exactly the same as the one that you studied but it will be almost the same. So like for instance this one is number one financial document. What do you think a financial document is? So obviously by just looking at the word financial document you must have a a way of explaining it. However in this case they made it easier by giving us the possible answers. So if we look at the financial document, if I look at a, it says it's an indirect tax charged, then obviously not. And then it refers to any money spent or pay out. Definitely not.

[00:36:31]It's a price charged per unit for a specific service. Definitely not. The exact moment when a business's total income equals to um total expenses, that definitely not. And then we've got E bank statements, te sleeps, municipal bills, tax documents that means IRP5 and text tables. Okay. So you can see that financial document actually matches with E. So in this case we can say number one it goes with letter E under column B.

[00:37:11]And then we've got URF. Obviously there should be something that comes into your mind when you see the word UIF. Then with regard to UIF we say is it an indirect tax charge by the government on most goods and services? Maybe. But let's let's check the rest of the explanations. It refers to any money spent or paid out. It is it the price charged per unit specific service. Is it the exact moment when a business total income equals it? Is it this one? This one it's already out. We have already used it because um it matches with financial document. And then we say it is a government run insurance fund that provides short-term financial relief to workers if they become if they become unemployed. Now you can see with this one, okay, it looks um it looks familiar and it is related to URF. So for number two, we'll say number two goes with letter F.

[00:38:14]Okay. And then we've got vet. Obviously with a vet. Uh let us look at the possible answer. So this one I can just indicate that um we've already used this.

[00:38:27]Then we go to V. Let us look an indirect tax charged by the government on most goods and services. There it is. Then which is number three goes with letter A.

[00:38:42]Then we've got expenditure. So this one is now out. Then we've got expenditure.

[00:38:48]Okay. With the expenditure, we look at is it um okay or expenditure does it refer to any money spent or paid out or is it a price charged per unit for a specific service or is it the exact moment when a business total income equals its total expenses. From these possible answers, we can see that expenditure will actually go with uh B that is it refers to the any amount spent or paid out. So number four uh let me see I've got three I said 3 a and then I've got I think I skipped one so it's supposed to be four. Sorry about that. Okay so let let us look at number four first tariff. Okay. From the three remain for from the remaining three, does it refer to the money spent or paid out? Does it refer to price charge per unit for a specific service? Then we all know that price charged per unit is 10.

[00:39:53]So number four must go with C. And then we go to number five. Then we can now go to number five. So this one is taken.

[00:40:03]Then number five is expenditure. Of course, expenditure expenditure refers to any money spent or paid out. So number five, we'll go with letter B.

[00:40:14]And then we go to six. And then in this case, break even in this case is the exact moment when a business's total income equals total expenses. When income equals to expenses, we say it's a break even. So number six will go with uh letter D.

[00:40:35]Okay. So it was just a matter of matching the terminologies with the explanations under letter B. You will see the explanation might be slightly different from the ones that you learned in the classroom but at the end of the day the meaning is the same or you can see that they are related.

[00:40:55]Okay. Then we still have a continuation of match matching column A and B. So this one we said number seven it's a data cycle. So you can see that this is now um terminologies under data handling. So a data cycle let's leave let us look at uh the possible explanations or the possible matches in this case is g the level of possibility of something happening.

[00:41:24]Inflation is the is the general increase in the prices of goods and services over time and then is the price of one currency expressed in terms of another.

[00:41:37]It's a stepbystep process used to investigate a problem, gather information and interpret the results.

[00:41:45]So data cycle remember the data cycle it is that process that we have to follow when we do a research. Okay. When we have have to do a research. So in this case it must be number seven. Number seven will go with letter J.

[00:42:03]Okay. And then we've got eight. It's a discrete data. A discrete data. What do we mean by a discrete data? Let's check the possible answer. We've got the level of possibility not inflation. Is the price of one currency expressed in terms of another. Uh step by step. This one is already taken. And then it displays the five number summary of a set of data.

[00:42:27]Data that is counted. So the data that is counted is actually a discrete data.

[00:42:32]Discrete data will go with letter L.

[00:42:35]Okay. All the data any data that is collected by counting it's a discrete data.

[00:42:45]Okay. So this one is now taken. We go to box and whisker. Now box and whisker is it the level of possibility? No. Is it an inflation? Is it the price of one currency expressed in terms of another?

[00:42:59]No. It displays the five number summary of a set of data. It displays a five number summary. So you need to know even if the examiner say can say uh determine the five number summary. The five number summary we are referring to minimum we're referring to quartile one. We're referring to quartile two. We're referring to quartile three. We're referring to maximum. And then if you remember a picture of box and whisker, a picture of box and whisker indicates all these five. Minimum, cotile one, cotile 2, kile three and maximum. Okay. If you don't want to say quartile one, you can say lower quartile. Okay. If you don't want to say lower quartile, you can say 25th percentile. And then of course median. If you don't want to say quartile 2, you can say median or you can see say 50th percentile. And then we've got quartile three. If you don't want to say quartile 3, you can say 75th percentile or you can say upper quartile. So if the examiner has to uh talk about quartile one remember he can say quartile one he can say lower cile he can say 25th percentile these three um words refer to the same thing you can say median you can say 50th percentile okay you can say median you can say 50th percentile so you will be referring to the same thing or cotile too and then the other one Of course it's quartile three and then upper quartile and then 75th percentile. So for number nine we'll say box and whisker it displays it indicates five number summary. So number nine will go with letter K. And then we've got 10. Number 10. Number 10 it's probability. Probability obviously it is the level of possibility of something happening. That could be the only explanation. So number 10 goes with letter G. And then we've got number 11.

[00:45:08]I could see that for number 11 actually um uh the examiner there actually gave an answer because you can see it says an inflation and then on the other side it says an inflation is the general increase in the prices of goods and services over time. So the change in prices. So in this case number 11 we'll actually just go with H. And then number 12 exchange rate what do you understand by the weight exchange rate? It's the price of one currency expressed in terms of another currency. So for number 12 we will go with letter I.

[00:45:53]Okay. So I'm sure you are now having a picture of paper one with the possible terminology. These are um some of the few terminologies but you don't necessarily have to go and memorize the terminologies boys and girls. Just read it once if possible. Just find a way that you can that just try to find a way of remembering that terminology. Okay, very very important. But you don't go and memorize all the terminologies.

[00:46:23]Okay, now just the confirmation of the subtopics. Okay, of course we know the topics that will be in paper one that is um what is the finance and data handling.

[00:46:37]Okay, but we know that there are subtopics.

[00:46:41]But before we even look at the subtopics, let us look at basic skills topics. Now boys and girls in a math lead question paper it is possible that you will get the basic skills topics.

[00:46:58]The basic skills topics we are referring to um very simple uh questions like for instance this is what you should be able to do in math league you should be able to round off. So rounding we say it's a basic skill. Rounding it's a basic skill. You must be able to round off to the nearest unit or to the nearest number. You must be able to round off to one decimal place, two decimal places, three decimal places. And I know that if you can round off to one decimal place, two two decimal places, three decimal places. Of course, even if the examiner can say round off to five decimal places, you'll be able to do it. Okay?

[00:47:42]You must be able to round off a number to the nearest five, to the nearest 10, to the nearest 100, to the nearest 1,000, maybe in some cases to the nearest 10,000. Okay? So, it's all about the skill of rounding. Okay? So, that is the rounding. And then you must be able to determine a ratio, simplify a ratio.

[00:48:07]Okay? You must be able to write numbers in a form of a ratio. If they say write a ratio of the number of girls to the number of boys in a simplified form, you must be able to write it. And in some cases they might say in a simplified form or in a unit form. Okay? So you must go and check that. So I spoke about rounding. I spoke about the ratio and then we also have rates. You must be able to determine or to calculate the rates. If I say if I say the cost of petrol is 25 rand per liter and then I say calculate the cost of 80 lit you must be able to calculate it. So there we are talking about rates. Okay. And then after rate now we can talk about percentages. How to calculate percentages?

[00:49:03]Very very important. Those are the basic skills. How to calculate percentages?

[00:49:08]how to calculate percentage increase and so on and so on. So those we say are the basic skills. We also have number patterns okay the number patterns obviously in that case it's it's or patterns and relations that is what I want to say patterns and relations is if you are given a graph and then you must be able to interpret the information from the graph and so on and so on. So these are the questions that you are not supposed to get them wrong. Here I'm talking about a case where an examiner will say round off, calculate a percentage, simplify a ratio, calculate the rate and so on and so on. So very important. So the basic skills topics will actually be across the two papers because um they can be tested in any way in any question paper.

[00:49:58]And then of course we have to remember the financial documents financial documents. Remember they can give you u they can give you a pay slip.

[00:50:10]Okay. They can give you um a bank statement. Okay. They can give you a budget document and so on and so on.

[00:50:21]Then they give you the information there. Like for instance, they can ask you the ID number of a person, the employees number, the address and so on and so on. So there we've got financial documents. We also have a very important financial document in grade 12 that is P5. All these other documents you actually did them in grade 10 and 11.

[00:50:42]What you did in grade 12, it was just a revision but therefore but there was a new one which is IRP5. IRP5 you don't have to panic as well. is only about an interpretation of the information from the document and then of course vet and urf you must be able to calculate v if the examiner will say this amount or this value it's including v calculate an amount excluding v calculate the v amount and so on and so on we all know that the v rate it's 15%. So all the methods all the calculations uh all the calculations about the vet you must know them. You must know that if I'm given an amount excluding bed and I want an amount including bed you must be able to calculate them. So you must go and revise that as well. And then of course URF you must know something about URF. We all know that it's about 1%. An employer will contribute 1% an employee will contribute 1% and then both of them will contribute a total of 2%.

[00:51:50]And then of course income tax that is where we calculate a tax payable by individuals or it can be by business and so on but the concept is the same. So income tax we have seen in the past learners stressing about income tax.

[00:52:06]This is not something that you need to stress about. Income tax is not the only concept in paper one. Okay? It does not mean if you don't know income tax and then that is the end of the day. It might count about 10 marks. Okay? But you still have n the other 90 marks. So why do you stress? So just go and practice income tax and then don't panic. Just answer what you know with regard to income tax. But it's not something that you need to stress yourself about.

[00:52:34]And then tariff system. Of course, you must be able to use the tariff tables.

[00:52:39]Remember, in this case, we've got the water tariff. We've got the electricity tariff. Uh we've got cell phone tariff.

[00:52:45]We've got the transport tariff. We've got bank tariff. All those types of tariffs. You must be able to calculate them. Remember, we say you prepare yourself for anything. Okay? We don't hope and pray that this will not be in the examination. Remember even if it's not going to be in the examination h in the June but prelim is still coming the final examination is still coming in met we are preparing ourself for everything and then of course um income and expenditure profit and loss okay the income and expenditure statement budgets and then we've got cost price and selling price break even analysis the break even point you must be able to determine the break even point when two graphs are given or maybe you have to draw two graphs and then they say uh determine the break even point and then you must be able to calculate the interest. This is about the interest and the interest rate you must also know the difference. The higher purchase obviously if you have to buy an item on credit that will be that will fall under higher purchase banking and loans and then inflation and exchange rates. So this is everything that you need to know under finance and you will see all these subtopics are on the uh on the ATP and then of course data handling you must know all the concepts of developing questions. Okay. Uh collecting data, classifying data. So now remember developing questions you must know uh the type of questions that can be asked.

[00:54:31]You must know if the given information is biased. Okay. Or you must know if the type of uh data that is collected is it a sampled or is it a population. we must be able to classify the data whether this is um what did I say this whether this this is a population or it's a sample and then we must be able to organize data normally to organize data is where we expect you to write a given data in ascending order or descending order and then of course summarizing data summarizing data here we are referring to uh mean median mode okay range Okay, intercultural range and so on and so on. So that will be under summarizing data and then of course the graphs or the graphs under data handling, representing, interpreting, analyzing.

[00:55:27]Remember with regard to graphs, the examiner might give you a graph and they ask you questions based on that graph or the examiner might give you an information and they ask you to use the information to draw the graph. Okay. So very important is two ways with regard to uh representing data.

[00:55:48]Of course I have I have actually summarized everything with regard to paper one all the subtopics that you need to know for paper one and then I have summarized it.

[00:56:05]I have actually refreshed your memory because this is what you supposed to know. In simple terms, we said everything that you did in term one.

[00:56:14]Okay. Now we are now going to see for instance uh if you can answer the following questions. For instance, imagine yourself you take a question paper.

[00:56:28]Remember boys and girls, if you are using a previous question paper to practice, you don't look at the questions and look at the answer at the same time. You take a question paper, you try to answer the questions on your own and then when you are done now you need to mark yourself. That is where you can now consult the marking guideline because if you have to read the questions and then have a marking guideline next to you, you would not be learning anything. So we're going to look at some of the questions from the previous question papers.

[00:57:01]And remember a question paper does not matter from which province it comes from. All the question papers it might be from free state, it might be from Limpopo, it might be from Northwest. Any question paper you can use it to prepare for your examination.

[00:57:18]All the learners are actually preparing themselves for the final final examination. So they must be in a position where they can answer any question doesn't matter from which question paper whether the question paper is from Western Cape whe this is a question paper taken from pre-state okay it was a prelim 2025 but the questions are relevant to a paper one okay now let's see an expert presented so it means now in this case you are now going to put yourself in a situation where you are now or maybe you were in May last year and then you had to receive this question paper. Would you be able to answer the questions? Then for number one is an expert presented several workshops around Mangaw and one at Bourne Hotel. He received an invoice from Bourne Hotel in Bloom Fontaine for his seven night accommodation and one day conference at the hotel. We know that one thing for sure mele has got a lot of readings. So you mustn't be lazy to read.

[00:58:33]Okay, still on the very same question.

[00:58:34]Then now it's 1.1 actually. Here is use the information alongside to answer the questions that follow. You'll see how easy the questions are. 1.1 What does the acronym The acronym is simply means the shortened word.

[00:58:52]What does the acronym VAT or V stand for? You see very very easy. So we just say value added text.

[00:59:10]Value added text. nothing else not not value additional tax or something it's just value added tax so it must be exactly as is value added tax then 1.2 to determine the value of a in the invoice. Now, if you go and look in the financial document, this invoice, you'll see there's a a represents the total. How do we get this total? You can see that in this case, it says 4,950 per night.

[00:59:44]Okay. But if you read the description, the description says rental of a room and breakfast for seven nights arriving after 1400 hours. So it means this person is going to pay 4,950 rand per night over 7 nights. So it simply means to find the value of a we just say a is equals to 4,950 rand we multiply by 7 then 4,950 * 7 and then it's 34,650 34 650 boys and girls I hope you are also calcul calcating and then I hope so far the way I have answered 1.1 and 1.2 you would actually do the same thing. So so so it means so far we are at 100% for all the questions that we have answered.

[01:00:49]So just 4,50 multiply by 7 is 34,650.

[01:00:54]It's very important that we must indicate the method where possible. Very very important.

[01:01:00]And then number 1.3 it says write down the V rate. So V rate the V rate in this case it means the percentage at which the V is charged.

[01:01:15]The percentage at which the V is charged. The V we all know that in South Africa currently the V is charged at 15%.

[01:01:25]Okay. At one stage it was 14%.

[01:01:28]Okay. At one stage they wanted to make it 15.5. At one stage they wanted to make it 17% but on this document it's 15%. So this one you just write 15%.

[01:01:43]What you see on the document right? Then number 1.4 it's calculate the vet amount due on this invoice. You see now those calculations that involve a vet. This is one of them. But you need to know all of them. So this is the subtotal is 36,445 rand and then the v at 15%. So it means here we have to calculate the v amount.

[01:02:10]The v amount will be 15%.

[01:02:14]So 15% is the same as 15 over 100. Then we multiply by 36,445 rent.

[01:02:27]Okay. So you just calculate 15%.

[01:02:31]So take your calculator 15 / 100 * by 36,445.

[01:02:41]So let's see if we are getting the same answer. I'm getting uh 5,466 rand 75.

[01:02:53]Okay, that is the answer. Okay, 15% is 15 over 100 multiply by 36,445 rand I'm getting 5,4665.

[01:03:05]I hope you have also got the same answer.

[01:03:11]Okay. Then here we we have write as a simplified ratio the price of conference setup and refreshments to the subtotal.

[01:03:26]Okay.

[01:03:28]So write a simplified ratio the price of conference setup. So if I go and check the conference setup, it's given as 1,45.

[01:03:43]So remember boys and girls in terms of a ratio order is very important. Okay, you don't mix. If they say simplify the ratio, the price of conference setup. So you have to start with the price of conference setup and refreshment.

[01:04:03]Okay. So, this one will be uh 1,45.

[01:04:11]So, 1,45 rent as a simplified ratio the price of conference conference setup and refreshments to the subtotal. So, the what is the subtotal?

[01:04:28]So it means uh the setup and refreshment it's actually one thing remember it's 1,45 right and then the subtotal is given there as 36 445 okay 145 okay let's see um now we have to simplify this so if I have to simplify uh let me divide it by 5,045 / 5 then I'm getting 209 why did I try five because I can see that uh the this number ends with five so chances are it is divisible by five so this one it will also be divisible by five so if I take 36,445 then I divide it by five then I'm getting 7,28 89.

[01:05:29]Can I divide it further? You can try to divide it further. Uh I also tried to see if I can divide it by three. But if I take 209, I divided by three, I'm getting a decimal number. And then why why did I try three? Because I just look at nine and I I thought, okay, because it ends with 9, maybe it's divisible by 9 or is divisible by three. that when I divide by 9 or by 3, I'm getting a decimal number. So it means I can end up here. 209 is to 7,289.

[01:06:04]Okay, the examiner just said simplified ratio. Simplified ratio. So this is the simplified ratio. We also have a unit ratio. A unit ratio simply means you would divide by the smaller number. It doesn't matter whether you would get a decimal answer or not. But if it it was a unit ratio, we would divide by the smaller number irregardless of whether we're going to get a decimal answer or not.

[01:06:32]Okay, a scary one, but don't be scared.

[01:06:36]Okay, scary one, but don't be scared.

[01:06:38]Like I said, uh taxation or income tax is not the only concept in paper one. Okay. But of course, as much as we think it is challenging or it is difficult, you can be able to score some marks there. If you set up 10, even if you don't get a total, but you can still get five marks or you get six marks or you can get three marks. Okay. So remember every little mark counts in M. Now let's see.

[01:07:05]Let's look at this one. The information that is given is Mrs. Swanul who is 72 years old earns an annual income of 2,475,566 rand. She contribute 7A 5% to the government employee pension fund that is GPF. She is a member of a medical aid scheme and contributes to a medical aid for herself, husband and four grandchildren. So how many are they?

[01:07:40]So, so it is she is a member of medical aid scheme and contribute to a medical aid for herself. So, it's one, two, so there are so it's one, two, there are six. So, it's herself, the husband and the four grandchildren.

[01:07:59]Then the table alongside shows the text table for 2024 2025 tax year.

[01:08:07]Then this information is still the very same information that I read. Let us go to the answers. I mean sorry the questions 2.1 is calculate Mrs. Swanipul's annual taxable income. So very important you need to know what does the examiner mean by a taxable income? What is a taxable income? A taxable income is actually an income that we use to calculate income tax or to determine the tax payable.

[01:08:40]So from a taxable income it means the non- taxable in incomes would have been subtracted like for instance pension it's an example of a non- taxable income or a donation it's an example of a non- taxable income. It means those are the amount that must be subtracted from from the basic income or from the original income. Like for instance in this case they say um Mrs. Swanool earns two million475,566 then we cannot use this amount to calculate tax. Why? Because because they say it's an annual income but and they also indicated non- taxable income. If this non- taxable income, this pension was not indicated, then we were going to use this amount exactly as is. But because there's a pension there, we need to subtract the pension. Okay?

[01:09:49]And then some learners are confused.

[01:09:51]They always think that they must always I mean subtract pension. You only subtract pension if the pension is mentioned. Okay?

[01:10:00]Right? So, uh they say annual taxable income. So, now we must calculate the pension. So pension it's uh how much is there 7a 5% 7a 5% so 7a 5 * by so 7a 5% is the same as 7a 500 * by uh 247566 then I'm getting let me see 7.5 / 100 and then multiply by 2 4755 566 2,475,566 then I'm getting 185,000 185,000.

[01:10:52]Okay. 667 rent and 45 cents.

[01:11:00]There's the pension. Therefore, taxable income is 2 million 475,000 566.

[01:11:21]Now I subtract the pension which is 185,000. I hope I'm going to have enough space there.

[01:11:28]185,667 rent and45. Sorry about the space, but it's it's here. It's here.

[01:11:40]185,66745.

[01:11:43]Then I can just take my calculator. I say 2,475,566 minus 185 667.45 45.

[01:12:01]Okay. Then I'm getting 2 million 289,000.

[01:12:11]Okay. 289,898 89855.

[01:12:19]Boys and girls, I hope you are also calculating there. So this is what I'm getting. 228,000 uh 228,000 okay sorry 2 million289,89855 very very important boys and girls remember here we are working with big numbers and then I know that some of you might also struggle with the big numbers like I'm doing now so we just need to be careful when we read the numbers there so this is 2,289,800 198 and 55 because the examiner might also ask you to write these type of numbers in weights. Okay, in weights very important. So this is the answer for 2.1.

[01:13:06]Then uh this is the next question. Show by means of calculation that Mrs. Sonool's annual medical tax credit is 20,54.

[01:13:20]Show by means of calculations. So by means of calculations it means the answer is actually given just show the calculation of just show with calculations how they got uh this baby the medical tax credits we have to check there are four me four members in the medical uh medical remember it's for Mrs. Swanipool the husband and the four grandchildren.

[01:13:55]Okay. So if we calculate it we're going to say is 364. Let us look at this information. MTC which is the medical tax credit. The main member the main member in this case it's Mrs. Swanipur. The main member sorry it's Mrs. Sunonnip. So Mipu will be 364 and Okay. And then we say plus. The next one is the main member plus the first dependent.

[01:14:28]The main member plus first dependent.

[01:14:31]Oh, then now the examiner is trying to dribble us here. The main member plus the first dependent. Okay. So you can see that the 728 rent actually covers two people. So instead of that I can say let me write down 728 rand but this 728 rand it's already including two members the main member plus the first dependent the first dependent in this case can be the husband and then now what about the four members then they say each additional dependent is 246 rand so in this case additional dependent are the four rent children. So we just say 246 rand.

[01:15:19]One will say 246 rand plus 246 rand plus 246 rand plus 246 rand. But uh one can say I just take this and I multiply by 4. Then I still have 728 plus then I say 246 2 46 * 4 then I get 984.

[01:15:44]So 984.

[01:15:46]So this will give me a total of the four I mean the six people. So 728 728 + 984.

[01:15:59]So it's 1,712.

[01:16:05]But this one this 1,712 it's monthly.

[01:16:10]You need to be careful there. is monthly but here they say annual annual means the whole year. Okay. So we take uh we say therefore for the annual will be 17 1,712 multiply by 12 then I'm getting 20 544.

[01:16:44]It always feels so nice when they say show by means of calculations and then after doing the calculations you get exactly what the examiner has indicated there. Then you can tell you can actually feel that this is actually correct. So everything that I did there is correct. But what what the examiner would be interested in here is the method. Actually, I should have indicated 1,712 * 12 and that is how I got because the examiner would want to see that I calculate the total monthly uh medical tax credits got the answer and then I took I took the monthly multiplied it by 12 to get the annual value. Okay. So, can you see that it is not bad? It is not bad um taxation or income tax.

[01:17:37]Already we have already scored some marks from the two questions.

[01:17:43]Right. Then number 2.3 Swan claims that she is paying an annual tax of more than 900,000 shoes. So this person it's actually earning a lot of money. So it means she has to pay a lot of tax. So in this case she claimed that she's paying an annual tax of more than 900,000.

[01:18:07]So now we have to check verify showing all calculations whether her claim it's valid. Now we need to check if indeed Mrs. Sonul is paying more than 900,000.

[01:18:21]But the procedure is the same the standard procedure in terms of calculating the tax amount payable.

[01:18:31]Okay. What is the first thing that we need to know in this case? We need to know the taxable income. The taxable income it is now an amount that must be used to calculate tax.

[01:18:45]Luckily we have already done that.

[01:18:48]Luckily we have already done that. If I take you back, uh, we said it's 2,289,000.

[01:18:58]2,2 million 289,000.

[01:19:05]Okay, remember from that just reminding myself 2,289,898 898 rent and 555 very very important.

[01:19:25]Okay, this is our taxable income. Now, this is the amount that we must use to calculate tax.

[01:19:33]Okay, under which tax bracket this amount fall? Under which tax bracket?

[01:19:39]So, we can see that we've got one is two. So, so it means this is the last bracket because this is more than 1,817,100 and above that is the 2 million. So, we have to use that tax bracket. So we'll say uh the tax.

[01:20:05]Okay, what I'm going to do is I'm going to calculate the tax amount before rebate and medical tax credit. Okay, so this one I'll just say before rebate and MTC.

[01:20:24]MTC I'm referring to medical tax credit.

[01:20:27]So this one the the bracket say 6 I mean the formula says 644,000 489 rent plus 45% okay of now this is where most of us are having a problem it's 45% of what an amount above an amount above 1,817,000.

[01:21:01]So what am I going to do? I'm going to take this 2 million 2889,898 and 55 cents. Sorry and 55 cents.

[01:21:17]I'm sorry about the space there. I'm going to subtract. I'm going to write the subtraction there. I subtract 1,817,000 and uh yeah 17,000.

[01:21:32]So we had to identify the tax bracket.

[01:21:35]We can see that the 2,289,000 falls under the last tax bracket which is 1,817,100 and above. Then I took um the the rate as it is. Okay, there's the substitution. Now let's see the next one will be 644,489 rent plus I can still say 45% of then I simplify the brackets. I have to simplify the brackets. I'll say 2 289 898.55 minus 1 8 uh 17 triple0.

[01:22:34]So it's uh 1,817,000.

[01:22:39]Then this is what I'm getting. I'm getting 472,000.

[01:22:47]uh 898 and55 that is after subtracting the bracket this is what I'm getting. So I've got 644,489 and then I still have 45% off. Now the next step I'm going to calculate 45%.

[01:23:10]So, it's still 644 rent. No, sorry.

[01:23:14]644,489 plus. Now, I need to calculate 45% of 470. Then I just say uh 45%.

[01:23:33]Let's see what I'm getting.

[01:23:35]I'm getting 20 I mean 212,000 212,000 84 uh comma 3 4 75. We all know that the the bill of money should be rounded up to two decimal places. But in this case this is not our final answer. So we have to wait a little bit until the end for us to run off. Then here I'm going to get a total of I'm taking I'm adding all these two um these two values. So I'll say plus 6 44 uh 489 then I'm getting 8 5 7 293 then it's still 3 4 75. Okay. So remember this is the amount before medical tax credit and rebate.

[01:24:44]Okay. So now this is what I'm going to do. I have to take this amount. Now I have to subtract the medical tax credit.

[01:24:52]Okay. I'm going to try to find a space somewhere boys and girls. Uh so I'm going to continue here. I'm just worried about the other part of the screen. So I take eight 5 7 2 9 3 comma 3 4 75. I'm just being extra careful. I hope you're also going to do the same thing.

[01:25:21]What must I subtract? I must now subtract the medical tax credit.

[01:25:26]Luckily, the medical tax credit uh we have already calculated that in the previous slide. If you look at this that is 2.2. Okay. Then which is 20,544.

[01:25:40]20,000 544.

[01:25:46]Okay. Then we have to subtract uh rebate.

[01:25:52]Okay. Now remember the rebates that are given are the annual. So for rebate uh she is 72 year old. We need to check.

[01:26:01]So 72 she will qualify. Let us look at this is a primary 65 and older and then 75 and older. She's not yet um 75 and above. Okay. So it means only two rebates are going to be subtracted. And be careful here boys and girls. Some of you tend to say that if she is 72 then we only subtract 65 and older. But we actually subtract primary and secondary.

[01:26:32]Okay. So this one we subtract 17,000 uh 235 this one.

[01:26:44]Okay. And then I also subtract uh the secondary rebate which is 9,444.

[01:26:54]Okay. Then I can write the final answer.

[01:26:58]Then I can write the final answer. You the space. Okay. The final answer will now be okay. Uh - 20,544US 17,235US 9,444.

[01:27:26]Okay. Then I'm getting uh the answer there is 82,000.

[01:27:36]Okay, let me see. I'm getting 828,000.

[01:27:45]Okay, and 70,000.

[01:27:52]Okay. So it's 3 4 75 there. There you can actually round it off. If you round it off it's going to be comma 35. But actually this will be our final answer.

[01:28:04]Then the final answer is the one that we need to round off. So our final answer is 828,070 and then that will be an and 70 rand 35 if I round it off to two decimal places.

[01:28:20]Right? Let's see. Uh let let us go back to our question. Masonable claims that she's paying an annual tax of more than 900,000. If we check this, this is not more than 900,000. And then we can say whether her limit is valid, her claim is invalid because she is paying an annual tax of less than 900,000.

[01:28:50]that is less than 900,000. Okay. So now boys and girls, you can see how hectic the questions of income tax are. And in some cases, they actually take very long. But like I indicated, this is not the only concept. Okay? Just answer any question that you can. All right? Any question that you can. But we don't want a situation where you spend most of your time practicing income tax as if it is the only concept in paper one. Okay.

[01:29:24]Yeah. So that was number uh 2.3. Very very very long. Very very long. But you will see that even the allocated marks were actually a lot.

[01:29:37]Okay. Then the next question still on the very same uh context. It's give a reason why people who are aged 75 years and older pay less tax than people younger than 75 years when they are earning the same taxable income.

[01:30:00]Okay. Now these people uh remember if you go back to a rebate.

[01:30:07]Okay. Now if you can understand the word rebate, what does the word rebate mean?

[01:30:13]The word rebate in this context means a a reduction of tax. In other words, they are reducing your tax based on your age. It's reducing a tax amount or reducing a person's tax amount based on the age. So if you are below the age of 65 they will only reduce your tax amount by 17,235.

[01:30:43]If you are working for a certain company and then they do the calculations after doing the calculations the government will say hey but this person is paying a lot of tax let's try to reduce. They will say okay let's reduce by 17,235 because this person is younger is is below the age of 65. Then if you are 65 and now they reduce it further.

[01:31:06]So it means if I'm earning 200,000 and I'm 45 years old and then somebody else is earning 200,000 and that person is 67 years old. In the end, our amount after tax will not be the same because the older one the older one's tax will be reduced more will be reduced by 17,235 and also by 9,444.

[01:31:33]But if I'm just below 65, they will only reduce it by 235. So this one the possible reason is it can it can be because and more rebates uh more rebates will be uh subtracted.

[01:31:59]More rebates will be subtracted. That is why those people are not going to earn are not going to get the same amount after tax is because of the more rebates. If you the older you are, the more rebates are going to be subtracted.

[01:32:15]Okay, then the next question it's it's about tariff system. Let us look at this.

[01:32:24]Uh number three is Katiso is a resident of Fixber and used 460 kilowatt hour of electricity during the month of June 2022.

[01:32:35]And then the t the the table alongside shows the electricity tariffs for fixburg excluding vet in 2022. Excluding bet very very important. It means you need to know if they say excluding bet what if they ask me for an an what if they ask me for v amount or what if they ask for an amount including that and so on and so on. Okay. Then it's determine the total number of kilowatt hour of electricity that can be charged in block three. Determine the total number of kilowatt of electricity. Right boys and girls at this stage you can see that this table is about electricity but we use a similar one for for water as well or for sewage. They are actually using the similar table. Up to so far you should be able to know that if you are given 0 to 50 it means 50 units will be calculated in the first block. And if from 51 to 350 how do we get this? So we're going to say 350 minus 50. So we're going to get 300. So 300 will be calculated in block number two. And then block number three, we know that we have to say 600us 350. Now 600 - 350 is 250.

[01:33:58]And the remaining amount will be calculated in the last block. Okay? So it means if you've got 1,000 kilowatt hours, if you've got 1,000 kilowatt hours. What's going to happen?

[01:34:13]The 50 will be calculated in block one and then you are left with uh 950. Then from that 950 the 300 will be calculated in block number two. So you'll be left with uh so say if it's 950 you'll be left with 650 and then from that 650 you're going to be left with uh you're going to be left with 400. So it means that 400 you are now going is going to be calculated in block number four. So in this case they say determine the total number of kilowatt hour that will be charged in block three. So in block three it's going to be 250.

[01:34:57]So it's 250 kilowatt hours. Okay.

[01:35:04]Uh so it must be 600 - 350.

[01:35:09]Yes is 250. I'm just confirming that.

[01:35:12]Okay. So 3.1 is 250.

[01:35:16]And then three is calculate the total amount including that Katiso will pay for the amount of electricity sorry of electricity that she used in June 2022.

[01:35:27]Now it is that long calculation but it's not something that you need to panic about. We've got 460 kilowatt hours.

[01:35:39]Now this 460 kilowatt hours we need to break it down. Okay, we need to break it down. We know that for block one uh block one we've already done the calculation and we said is 50 kilowatt hours. Let's break down the kilowatt hours or the units. Then block two.

[01:36:02]So if 50 must be calculated in block one, it means I'm going to be left with uh 410.

[01:36:11]And then now I must take 410 to block two. But in block two, I can only use 300. Remember 50 uh 300. How do I get 300? 350 - 50. This one 250. How do I get 250? 600 minus 350.

[01:36:32]Okay. The remaining amount. So I've got block one, which is 50. I'm left with 410. in that 410 if I put 300 in block two. So I've got uh remember first thing I said 460 and then I subtract 50 I'm left with 410. Then from that 410 I subtract 300 for block two.

[01:37:01]Yeah for block two. Then I'm left with 110. So block three I'm now left with 110. So but when I look at block three the block three can take any kilowatt hours up to 250. So it means the whole 110 will end up in block three. That is how I block it out. But in the end when you add them up they must still give you 460.

[01:37:26]Okay. Now I can do the calculations.

[01:37:29]I'll say this is 50. Then I multiply by the tariff in this case it's 1 5188.

[01:37:37]You can see that this is actually in rent. Normally a tariff has got more than two decimal places. It's it's it's unlike the value of money where we always say the value of money it's two decimal places. But in this case it's a tariff and they use more than one decimal or more than two decimal places.

[01:37:55]Okay. And then we don't start by rounding off. We just take that uh 1.5188 and then this one I'm going to multiply by 2 0 251 and then this one I'm going to multiply by this 2a 6 uh 3 86 okay then I can now do the calculation let's see 50 * 1a 5 1 88 let's see 50 * 1a 5188 I'm getting 75.94 so it means this is 75 I know 75.94 okay the next block I must take 300 I'm then multiply by 2.0251 and then this will give us 607.53.

[01:39:08]I'm actually feeling much better because I can see the two decimal places there.

[01:39:13]So probably I'm doing good. And then 110 * 110 * 2.6 6 3 86.

[01:39:29]Okay, this one 1 0 110 * 2a 6386 uh 290 comma 2 4 6 a little bit of a stress with that one three decimal places but it's not a problem then remember all these are in reds so I must now calculate the total so I'll just indicate the total here so I'm adding everything 290 2 46 + 607A 53 + 70 75.

[01:40:10]Now I can't see my own handwriting.

[01:40:15]Okay. So it's 9 973.716.

[01:40:22]This is the amount in rents. So let me just Okay. Yeah. So it's indeed 75A 94.

[01:40:38]I missed my own handwriting there. Okay.

[01:40:40]973A 716. This is the total amount.

[01:40:44]Remember but from the tariffs that are given here they say these tariffs are excluding V. But the examiner says calculate the amount including V. So that is where we needed to be careful there. Then we go back to the amount including that 973, 716. I'm still taking all the digits because that was not a final answer. You know how to do it. How do we calculate from an amount excluding V to an amount including V? I know you've got your own different way of doing it. Some will say 115 over 100. Multiply by 115 over 100. Some will say multiply by 1 comma 15. Some will say multiply by 115%. But in the end the answer is 973.716 multiply by 115 over 100 and I'm getting 1le 1 9a 7 7 3 4 I don't like the many decimal places so in the end triple 1 9 comma if it's 7 734 so I'll make it 7 seven okay this will remain the same because the digit next to it is less than five so that is why I'm keeping the seven there so there's the answer okay it's a long one as well but it also has a lot of marks so you need to be patient with it and you need to know your story calculations for water tariff it's actually similar way for water tariff and maybe for sewage as well. So we just need to check that. So the tariff system it's also a part of paper one, right? And then the next question is Queen um a student in Bloom Pontain was given a task to do a research about the number of fatal crashes that occurred in all nine provinces in South Africa. for the period of 2020 to 2022. Okay. So it means it's the accidents that resulted in death.

[01:43:09]Okay. The table alongside shows number of fatal crashes that occurred in South Africa for the period 2020 to 2022.

[01:43:18]Right? There is the same information.

[01:43:20]Then 4.1 it's arrange in descending order. Boys and girls ascending order and descending order. Normally I will say R for up. So that means it's from the lowest to the highest. D for down that means from the highest to the lowest. You cannot afford to get it wrong. You cannot you you cannot even think twice in the examination when the examiner says descending order. You need to get it right. Arrange in descending order the the number of fatal crashes that occurred in 2020 2021. Make sure that you choose the correct row. Okay. So for the nine provinces now it must be in order. Let's check. We need to check the small. What are they saying? Descending. Descending. I almost made a the same mistake. Descending. It means I must start with the biggest. So the biggest one here it's uh 255.

[01:44:22]Okay. 255 person and girls. It's very important that normally I will say cancel it but rather not cancel it. Just make a mark there to indicate that I've already used this number. Cuz sometimes if you cancel on top of a number and later on you realize that some some numbers are missing. You would not be able to recognize that number. So it's better if you just make a mark or maybe underline it rather underline it. So in this case cuz sometimes you might start by saying this is the biggest but later on when you're done you realize that but actually this is not the biggest. So 255 and then I'll say the next one if I look at all this I see triple 2. So triple 2.

[01:45:09]Okay. And then the next one let's see I see 88.

[01:45:18]Okay. And then after 188, I hope I hope I've got 112.

[01:45:24]So 112 is used.

[01:45:27]Okay. Uh wait, wait, wait, wait. You see now for 112. This is not the next one before this one. I see 142.

[01:45:37]So for 142 and I think after 142 it's where we get 112 and then after 112 I see 106.

[01:45:52]After 106 I see 78.

[01:45:58]I see 78.

[01:46:00]After 78 I see 75.

[01:46:05]after 75 I see 31.

[01:46:11]Okay. And now I can double check. Okay.

[01:46:13]You have to check if you have used all the values or initially there were nine.

[01:46:17]So we need to check 1 2 3 4 5 6 7 8 9.

[01:46:22]So there are still nine. Remember if you write them in the correct order, descending order and then you miss one value, you lose mark. You you might lose a mark there or definitely they're going to penalize you. So it's very important that if originally the number of values given is 15 after rewriting them there must still be 15.

[01:46:42]Okay that was number 4.1 right and then number 4.2 is identify a province where the number of fatal crashes remained the same for both time periods.

[01:46:58]Identify a province where the number of fatal crashes remain the same for both time periods. So the periods they are referring to 2020 to 2021 2021 to 2022.

[01:47:13]So if we check this year what is the same? Okay, if you look at EC they are different.

[01:47:23]uh free state we are not sure yet because the value of f it's not given I hope we didn't have to calculate maybe it's in the next question then GP and then two so far from the given information the one that remains the same is PZ N your free mark that's free marks actually two marks KZ N oh then that is the question that I thought uh would be asked determine the determine showing all calculations the value of f. So the value of f here 2. But now you need to understand what is actually happening in this table.

[01:48:04]Here we've got 2020 to 20. This is about the the number the numbers from 2021 I mean 2020 2021 to 2021 2022. Okay they are changing. You'll see that from this 1884 the number decreased.

[01:48:22]In 2020 2021 there were 188 and then 2021 to 202 were 184. Can you see that it's the number is now being reduced is been reduced by four. So the negative indicates that the number has has decreased the number became smaller.

[01:48:45]Okay. So but if I look at free state 75 but if you look at the the change there the change is 9 and it's it's positive it means it's an increase. So like this one will say increased by 39. This one did not decrease because it remained the same. This one increased by 10. This one increased by 27. This one increased by 18. And this one increased by 21. But this one increased by 9. So from 75 and then it must increase by 9. So 75 it must be 75 um + 9 will give us the value for 2021 2022. So 79 + I mean 75 + 9 is 84. Now it feels like I have to calculate everything. But I think I can advise you boys and girls to please make sure that you use your calculator all the time because your your mind can be tired in such a way that even a simple number or a simple calculation you might think that you get it right but at the end of the day you find that you calculated wrongly. So I hope I'm correct in this case. 75 + 9 which is 84. So that is why you have a calculator. Even if it's just 1 + 1 then you have to do it. Okay. Then number 4.4 calculate the mean. Yes, you need to know all those. The mean, what do you mean by the mean? That is where you add all the values and you divide them by the number they are. Add all the values and divide them by the number they are.

[01:50:26]So in this case, and make sure that you choose the correct row. This is for 2021 2022.

[01:50:35]Uh 2021 2022.

[01:50:39]2021 2022. Yeah, this one.

[01:50:45]Okay. Calculate the mean number of fatal crashes for 2021 2022. Do we really have to add everything here? Because you can see that the total is given.

[01:50:58]I hope we are not being too clever for the examiner there. But you can see that if we have to add everything including the value of f because we say calculate the mean number of federal crashes for 2021. If we add the nine provinces then we get the total for the country. So it must be 13 95 and then we divide by how many provinces? How many privacy? I mean how many values? Nine. So it's nine nine values for nine provinces. Then that is why we have to divide it by 9. So it's 1 3 95 / 9 then I'm getting 155.

[01:51:40]Okay. Um I'm sure we'll still get the same answer even if we have to use the value of 84 there because we found the value of f and then we add all the values and then they will give us the it must give us 1 1395. So this one I'll leave it for you boys and girls. But for this just the easiest route to get to the answer, right? Uh number 4.5. Show how the percentage change for northern cape was calculated.

[01:52:14]Okay. So we've got the percentage change color. How do you calculate the percentage change? So if we've got a percentage change, it's the new value minus the old value divide by the old value and then we multiply by 100%.

[01:52:39]Okay, remember sometimes you might be fortunate that the examiner will give you the formula. So this must be the new value minus the old value and divide by the old value. So in this case uh for northern cape um the change even if we say let's check the new value will be 49 minus 31 / 31 okay * 100.

[01:53:10]So 49 - 31 actually that uh 31 is 18. I actually wanted to use that 80 because the change it's already given there. The change is the subtraction. So 18 over 31 * 100%.

[01:53:30]/ 31 times it by 100%.

[01:53:37]Okay. So I'm getting 58 580 6 4 5 and so on and so on percentage. The examiner didn't specify the rounding. So even if you just leave it as 58% but it's very important that you first write down the original answer. That was number 4.5. Let's see number 4.6.

[01:54:04]It's uh determine the IQR for 2020 2021 IQR.

[01:54:11]Remember what is IQR? IQR it's intercortile range and intercortile range. But how do we determine intercortile range? That is where we say quartile 3 minus quartile one.

[01:54:27]So it means now we have to take these values where I have to determine quartile one 2020.

[01:54:38]Yeah. 2020 2021. I think somewhere in the previous question we did the arrangement.

[01:54:44]Yeah. But the arrangement was other way around. We need to be careful. So the arrangement in this case must be from the smallest. So let's see. It's actually taking me back to uh 31. You you can still go back to uh that other question where we arrange them from the biggest to the smallest. Then you just turn them around. So, but let's just do it 31. And then after 31, I think the next number is 75.

[01:55:14]Okay. So, 31.

[01:55:17]75. And then after 75 is 78.

[01:55:22]After 78, I'm going to have uh I think 106.

[01:55:32]And after 106, it's 112.

[01:55:36]After 112, it's uh after 112.

[01:55:44]Okay, I've got Okay, let me see. 112.

[01:55:47]It's done.

[01:55:48]After 112, I've got 142.

[01:55:52]So 142 after 142 I've got 188 after 188 I've got triple 2 and I've got 25 let me double check 1 2 3 4 5 6 7 8 9 still nine so far so good then for me to determine Q3 and Q1 obviously boys and girls if you have to find Q3 and Q1 you have to start with Q Q2 Q2 is the middle of the two values. So in this case I've got nine values. So for nine values you can see that the middle one I'm going to have 1 2 3 4 on the left and then I'm going to have 1 2 3 4 on the right. So the middle value here which is Q2 is 112.

[01:56:45]But I don't want Q2. I want Q1. So I'm got 1 2 3 4. So my Q1 will be Q1 will be 75 + 78 75 + 78 all over 2. I take my calculator 75 + 78ide by 2 then I get 76.5.

[01:57:14]Okay, because now this is quartile two.

[01:57:19]I've got four values on the left hand side. These two values will form quartile one. So I'm adding them together. I divide by two. I get 76A 5.

[01:57:28]We don't round it off. It remains as 76 5. Then on the right hand side I'm going to use these two values to find my quartile 3. So my quartile 3 will be 188 plus triple 2 over 2. Then I say 188 + triple 2 and then I divide it by two. I'm getting 205.

[01:57:54]So 205 then I've got my Q3. No shortcut. So obviously now I can go back to the formula. I say Q3 which is 205 - 76.5 and then - 76 and then I'm getting 128.5.

[01:58:18]Okay. So that is how sweet and short it is. Okay. So please expect this type of questions in the question paper. I can see that we are about 3 minutes after the end of the session. Let me take this opportunity and say thank you very much. But before that I just want to remind you. So I still had few questions but I can just indicate that uh tomorrow uh we're going to have a revision after after you wrote paper one there's going to be a revision for paper two as well.

[01:58:59]So I just want to confirm actually we still had a lot of questions but unfortunately time it's not on our side. Now this is just a confirmation of the revision lesson tomorrow paper two.

[01:59:15]Okay. So please make sure that you tune in tomorrow at at 2. Thank you very much. Thank you for watching the lesson. I hope to see you next time and good luck with your exam tomorrow. Please make sure that you go and study hard. Thank you. Bye.