MEMO 2026 MATHEMATICAL LITERACY P.1 GRADE 12 MAY-JUNE (THUNDEREDUC) GRADE 12 MATHEMATICAL LITERACY

Added: 2026-05-17

[00:00:00]Education payment of education republic of South Africa senior certificate examination national senior certificate examinations college trust paper one June 2026 instructions are there let's go straight to question number one okay question number one says the table below gives definitions of terminologies used in mathematical literacy one side we have a and the definitions they shall use them to match this part here all right as we go through we shall find out the answers as they uh collecting collecting data from a group of people by asking questions. This would be group discussion. Then we have a method of collecting data that involves watching, listening, touching. This is called observation.

[00:00:49]It's called observation.

[00:00:52]This is observation.

[00:00:56]Okay. Then this is an entry into an account. We called this what? Credit.

[00:01:01]The money that comes into the account.

[00:01:03]The diagram used to show the distribution of data along a number line divided into quartiles. This is what we call the box.

[00:01:14]Box and what? Box and whiskers diagram. Then a unit of value or sorry the unit of value of one current relative to the value of another current we call it this exchange rate exchange rate. Then the group of value into classes sorted sort arrange and organize. This is the frequency table.

[00:01:42]Frequence table. Then we come to this row information that has been collected.

[00:01:47]We call that what? data. Then when someone or an organization takes money from your account, this becomes what? It becomes a debit.

[00:01:59]All right? Then the rate at which this is what we call a a tariff. Anyway, let's look at our possible answers here.

[00:02:08]Books and whiskers, we already said it's D. Exchange rate, we've just seen it as E. Observation, which is B. data we see it as G and debit we saw it as H two marks each. Okay. Question number 1.2.

[00:02:27]Many parents make monthly contributions towards educational policies to assist with their children's future tertiary expenses. Table two below shows the accumulated amounts for of for different for different market investments options for different time periods.

[00:02:49]Okay, there we have a period of 15, 10 years, 18 years and the amounts for monthly installments are 500, 1,00 1,500.

[00:02:58]Accumulated amount includes interest over the period. Okay, round off to the nearest 10,000. And the accumulated amount of of 100 sorry of 1,500 is invested for 8 years. So we come here 1,00 8 years. This is the money. But they said round off to the nearest 100,000.

[00:03:25]Nearest sorry nearest 10,000. So remember the money is 500 500,000 sorry 5 525,22 round off to the nearest so the 10,000 is here so the answer will become 500 30,000 that was the answer there determine the number of months for an investment to accumulate 355 sorry 350,000 134 350,000 it's here.

[00:04:03]So they're asking you determine the number of months for an invest. Now the number of months will come from the years which is going to be 8 * 12 and I believe you have 96 months.

[00:04:17]96 what? Months. Okay. An an 8-year-old child will need approximately 475,000 to study when he or she reaches the age of 18. It's a difference of what? 10 years when you look at it.

[00:04:37]8 to 18. Okay. Write down the present monthly amount the parent should invest in an education policy. Remember a difference of 10 years. So we shall come here.

[00:04:52]They're telling us okay yeah we shall come to the table first. We shall look for this amount of money. So we come here look for this amount of money 437 but for 10 years. So it's this. So the parent should be giving how much? 1,000 as an investment.

[00:05:11]So here the money has to be a,000 according to the number of years the amount needed and this is the installment they're asking for. Okay, we got 1.2.4.

[00:05:26]Determine the difference in accumulated amounts for an investment made over 10 years if the parent invests 500 monthly compared to 1,500 monthly. We are looking for the difference in what in accumulated amounts for an investment over a period of 10 years.

[00:05:50]So in other words, we going to look at period of 10 years for 500 and period of 10 years for 1.5. So here we are 500.

[00:05:59]This is what we looking at. And but we looking for the difference. So we shall get that money which is 700.

[00:06:12]We shall get the difference uh as uh 700 14,694 minus 20 238, 231.

[00:06:32]Put this in our calculator. We should not waste time. 7 1 4 6 9 4 - 2 3 8 2 3 1 We get the answer as 474 sorry 476, 464 runs. So it's supposed to be 476,463 rand.

[00:07:11]Okay, we got we continue. Question number 1.3. It says tourism South Africa keeps a record of tourists visiting South Africa. According to their records, the majority of tours come from countries in southern Africa development community which is called Saddak while the while the remainder come from other African countries and overseas countries. The table below table three below shows the number of tourists of different age groups from different countries visiting South Africa during December 2024 2024. Some values have been omitted meaning they have been left out. Okay, we look at the the table. This is how it looks like.

[00:07:57]Table three. Then table three. This is how it looks like.

[00:08:09]Okay, we shall go straight into the questions and we see table three. State if the number of tours from other African countries is discrete or sorry it's discrete data or continuous please this is discrete why do we say discrete these are humans or you can say it's what it's countable that's why we say it's discrete name the countries that have approximately 24,000 tourists in the age of 15 to 24 years visiting South Africa. We look at that and we see between the age.

[00:08:54]So this is what we're looking at between the age of 15 to 24 between the age of 15.

[00:09:08]So we shall come here we say 15 and they're saying that oh they're asking uh that have approximately 24,000 approximately 24,000 so it's only overseas countries we're looking at overseas.

[00:09:25]Okay. So the answer here becomes overseas.

[00:09:31]Overseas overse what countries determine the total number of tourists in the group age of 25 to 44 year for 2024. Remember you're saying total number. So we shall come back to our next year here between they're saying to the number of tourists 25 25 to 44 25 to 44 this what we have. So meaning we are going to add these two values.

[00:10:13]Okay 25 24. So we going to add those two values.

[00:10:20]Let's see. So you'll get the value as 21,000. So 216, 46 plus 200 45, 7.

[00:10:40]So we add this or we put this in our calculator to find out which is 216,44 plus 245,787 press equals you end up having 462,193 462,193 okay the missing value of a the total number of tours in the age group of 55 to 64 years from SA countries. Let's look at that and we see. So when you look at the question paper when you look at the next here value of a remember down here you already have what the total. So what you're going to do actually even this side is the total. So it's easy to take it from this side.

[00:11:29]Then this side here this one to be too long for you cuz you're supposed to get this minus everything up here which is too long. But this a meaning we're going only going to sub we are going to get this minus with this and that. Anyway let's going to see. So value of a will equal to the total amount of value there which is 7 73,420 minus that 1,00,782us 100,00 sorry 1,186 and the final answer becomes 73 3 420us 371 - 1 84.

[00:12:36]So we have the answer as 40,4 52. This is a value of a. And this brings us to the end of question number one. Let's continue question number two.

[00:12:49]Question number two. Klejo is studying to become a chief. He ordered some products to be delivered to practice for his practicals.

[00:13:02]He received the tax invoice shown on an extra e in the answer book. This is it.

[00:13:09]Okay. The question is, The question is, state what the number 130495399A represents. Let's go to the next.

[00:13:22]This is the number being talked about.

[00:13:25]What does it represent?

[00:13:28]The number being talked about. What does it represent?

[00:13:33]Okay, this is the number. What does it represent? It's the order number. So we come down here and we say it's the order number.

[00:13:44]Okay. Can I get the missing value a the savings amount on pineapples?

[00:13:50]Okay. We look here pineapples two packs and they're telling you you save 15%.

[00:13:57]So down here they're asking what will be the value here? How much have you saved?

[00:14:00]So what we're going to do we shall multiply this by 15%. and we shall get our answer there. So the answer here of a was supposed to be 15 / 100 * 29 comma 99 and I believe the final answer became 450 cents. Let's do it on the calculator and we see we have 2 29 comma 99 * 15 over 100. This become but when you round off to two decimal places this 9 becomes a zero and the four becomes five. That's why we have 450.

[00:14:52]Determine the missing value of B, the unit price of yogurt before the discount was applied. So let's go back and analyze this. The value of B is right there.

[00:15:05]So the value of B, it's this much. This is the money before the discount. And look at the discount. Actually, this is the money after the discount because they're subtracting this.

[00:15:31]Now they want us to find the value of B whereby the amount per unit.

[00:15:37]Remember he bought two and the discount is 69. Sorry A at the price of 69. This is after the discount.

[00:15:45]Discount of how much? 16 R 98. So meaning before the discount we need to get this money here plus the discount that's the first step we need to do. So we shall come here and say I have 69 rand the 69 rand plus the uh 16 rand 98 that's the money before the discount. So we shall say 69 + 16 98. What am I doing? I'm looking for the original price before the discount. So I pick my calculator. So 69 rand plus the 16 rand cent 98 cents I get the value as 85 rand 98 cent. So it's 85 rand 90. This was the price before the discount. So they're asking for unit price now before they. So we should divide by two because you bought two of them. So you come back here to your calculator just divide by two and you have your answer as 42.99 each before the discount. All right. Okay.

[00:17:08]Look at the missing value C the total payment made. In other words, we looking at how much the guy paid.

[00:17:15]Again, let's see very fast.

[00:17:22]See, this is it.

[00:17:26]Total pay. So, what we're going to do just product including V that is it delivery fee. So, in other words, you were supposed to pay that much.

[00:17:38]plus the delivery fee minus the 61 rand 50. Why am I subtracting? Because he has a credit a wallet credit from previous purchase.

[00:17:51]So this is a we call it that a a reimbursement like it's a rebate. So he already has some money on this card. So I'm sub I'm not adding it. So in other words, it's going to pay 3 96 rand 98 cents plus 35 whereby that is it. Then minus 61 which is 300 390 what? 93.

[00:18:38]Okay.

[00:18:40]393.

[00:18:46]That is it. Kho claims that the VAT amount was calculated incorrectly. He performs the following calculation.

[00:18:55]He performs the following calculation.

[00:18:57]Then the VA amount should be the amount should be what? 59A 55.

[00:19:06]Explain why Cath's calculations calculations incorrect.

[00:19:13]one. This amount that he has, this amount includes both items with vet and those without vet. In other words, vet was calcated on a few items. Let's go to the next gen. We see um the items that have V. We have this yogurt and tuna in water. Those are the only items that have to pivot.

[00:19:58]Those are the only two items that have to pivot. And when you take the prices nicely or when you check the prices nicely, let's see this will be the 69 because it's a 69. Now here for two the 69 plus the money for two now which is 21 99. When you add these two values they already include red so it's fine. Plus, so for him you're supposed to get this is the the money that should be charged the vet. So how much v will it be? It's 15 over 115.

[00:20:54]You see the money is approximately 11 87.

[00:21:00]I wonder where they got this because this when you look at this it has both vet exclusive items and vet inclusive.

[00:21:15]So you cannot use this. Okay.

[00:21:20]So that's a mistake. She included everything together.

[00:21:24]All right, that brings us to question number 2.2.

[00:21:28]2.2.

[00:21:34]So, CO course and a food at a food and beverage college is made up of two modules. A food preparation module for one year and the pastry module for 6 months. The cost can the cost can be paid using two options.

[00:21:54]Option A, the total payment option.

[00:21:56]Option B, the payment plan option.

[00:22:00]Option A, the total amount of 28,300 for the course is made up as follows.

[00:22:07]The depos amount of 45,000, a food preparation module of 99,650, then the balance for the pastry modules.

[00:22:17]Okay. Pestre it's a French word anyway we go to option B here which is the one on the plan there are two also okay there are also two plans one plan A or plan one it says food preparation module is split into 12 months and installments plan at 9,000 per month and plan two for it it says food preparation module you pay 51,825 rand per semester which 6 months. Then the pastry module in plan one, it says 5 months installment plan at 15,530 per month. And the pastry module in plan two, it asks for 7,765 per month for 10 months.

[00:23:10]Okay, we continue. What are they asking us to do? Write down the ratio of the depos amount to the total amount of the cost in a form of 1 is two. Round off to two decimal places. Now first and foremost why is it three marks? The order matters. So we shall go and pick the depost amount. Let's come and pick the deposit amount.

[00:23:37]The deposit amount is you see they say deposit amount they're telling us to write uh the deposit amount to the total amount.

[00:23:59]So the deposit amount is what? 45,000.

[00:24:03]Total amount is 200.

[00:24:06]uh 8,300 there are two zeros common remove there.

[00:24:12]What do you remain with? You remaining with four then you see that but they want it in ratio of one is two. So how do we turn this into one? We shall divide it. It divides itself but we divide on both sides do the meaning one because this goes with that. So here the answer will become we shall say 208 3 / 4 5 0 and the answer becomes what I said to to two decimal places. So this is the same as 1 is 2 4 6 4 6 4 4 6 3 Okay, that's the answer to question number this one here. 2 2.2.1.

[00:25:13]Calculate the balance owing for the pastry module if the total amount is paid in full.

[00:25:21]Calcate the balance owing for the pastry module if the total amount is paid in full.

[00:25:32]Okay. So the balance, how are we going to get the balance? The balance is going to be the total amount minus the deposit minus the pastry money. Sorry. Yeah. Minus the pastry mod. This one here.

[00:25:51]That's what we going to do. So in other words, we're looking at we're looking at this amount here which is 28 300 minus the deposit which is 40 then minus 99,000 and if you use this you will get your answer Yes, you get your answer as 63,000 650.

[00:26:35]That's the balance that we are talking about in question number 2.2.2.

[00:26:43]Okay, let's continue.

[00:26:46]This is this was the balance. Um determine the difference between the payment plan one and payment plan two for the food preparation module. Okay, let's look at difference. The moment you hear difference, this means what?

[00:27:01]Subtraction. So we're going to look at that the payment plans. Okay, let's come here.

[00:27:08]So the first one it says 12 or 12 months.

[00:27:13]The person pays this per month. So we shall go there and see 12 * 9,000 minus the second option asks us for 51,820 per semester.

[00:27:33]You understand per semester meaning the money could be multiplied by two.

[00:27:38]Why? This is the course is going to take a year pastry the two modules.

[00:27:51]Okay.

[00:27:55]12 months and this is for only 6 months.

[00:28:02]So the full the 12 months here 6 months what is the difference? So we shall need to go 12 months * that and 2 * 51,825.

[00:28:17]Why am I multiplying by two? Because these are 12 months. This is only for semester 6 months. So we make it 12. So let's come down and here we say 12 * 9,000 - 2 * 51 852 which is 4,31 that's the difference that we have 2 years before the course started Kathle's mother invested 39,500 at 7A5% interest compounded annually for the first year and at 7A 85 compounded annually for the second year. Car the total amount that she will receive at the end of the two years. First and foremost compounded. So in other words, you're doing it in the form of inflation. What you do first? You say first year it's going to be 100 plus.

[00:29:23]Okay, it is going to be this much.

[00:29:27]I'm increasing using this times the amount that the person invested which was 39,500.

[00:29:35]What answer do we get? Let's pick our calculator. How did I get the 1 07? I said 100.

[00:29:45]Sorry, it's 100. Okay, it's fine. 100 plus the 7A 5. Sorry, the 7A 5.

[00:29:56]I divided it by 100.

[00:30:01]I have that much times the money the person invested.

[00:30:10]And I get my answer as for the first year she has 42,324 42,324 rand 51 cents. This is for the first year. So for the second year this money that's going to increase now but at a different interest. So we shall say we shall multiply that by that. We shall multiply we shall multiply this answer that we've got which was 42,324 25 cents.

[00:30:47]We shall multiply that and we shall mate with a new increment which is 1 07 85.

[00:30:57]The answer became 45,646 uh.70 45 646 70.

[00:31:16]So this is the money the person will have at the end of the two years.

[00:31:21]This is the money. Okay.

[00:31:26]Actually this was the second year now from here this was the first year the person ends up having this but it's the same money that will be generated or to be used to generate income the next year. 2.3 The college requires the students to wear a chief's uniform as shown in the pictures below. A chief's uniform jacket can be black which is B, white which is W or red. Then a chief's heart can be black or white.

[00:31:58]Black or white.

[00:32:04]So determine the true number of chiefs uniform outcomes. In other words, we are looking for these.

[00:32:12]These are the outcomes. So we have 1 2 3 4 5 six. So here we are supposed to say six possible outcomes in other okay that is it write down in the answer book the missing chief's uniform roman one and roman 2 we are looking for this and that in other words let's look at it and we see the answers we shall say how do we get this you see this one here they took this and this why they have this. So meaning this one will become this big B and a small W. Then this one here they took this. That's why you have this and this small one. So here we shall have the big R which is red and the small B. That's how they wanted us to do it.

[00:33:08]So we are saying it's either BW and RB.

[00:33:16]Okay. Determine as a decimal the probability of randomly selecting a white chief's jacket. A white chief's jacket. A white chief's jacket. It's this one here.

[00:33:29]A white chief's jacket.

[00:33:32]So, it's one out of six.

[00:33:40]It's one out of six. but they said as a decimal.

[00:33:47]So what you're going to do come in your calculator 1 / 6 equals should give you as decimal um 0a 6 6 recurring. So the answer becomes 0a 1 7. That brings us to the end of question number two. Let's look at question number three very fast. It says table table table six shows the average annual amount spent by the nine provinces per household on transport housing on transport housing and including the percentages of the household budget during 2023.

[00:34:28]Okay. Name one of the data collection instrument that can be used to collect the data. This can only be got by asking someone. you cannot guess. So in other words, they did or they used what we call the what we call the questionnaire.

[00:34:48]This could be the question. Some people like calling it the survey.

[00:34:56]Okay. Arrange the provinces in descending. The moment you hear descending, what comes in your head? Big to small according to the order. Then I'm going to arrange them according to the order here. So which one's the biggest? Because they're saying arrange the provinces in descending order according to the amount spent on transport. Transport is here. They said amount. The amount this this is percentage. So which one is the highest?

[00:35:25]It's this one here. Followed by this is number two. Followed by number three which is this much.

[00:35:34]Number four.

[00:35:37]Number five.

[00:35:44]Number five is this.

[00:35:47]Six.

[00:35:49]It's this much.

[00:35:52]Seven.

[00:35:54]Could be this one here. Then eight. It's that.

[00:36:00]Lastly, we have nine. So this that's how the order was supposed to be. You write those numbers in that order. You start with 33,000 and you end with 10,000 833.

[00:36:12]That was supposed to be the answer.

[00:36:13]They're asking us for mean. Mean, you know what to do. We add all the values divided by the number of values you have added. So these ones you will add all the we add all these values here from up here to down there. then you divide by 9. So mean. So I added all the values. I got my answer as 17 uh 177,98.

[00:36:46]When I add everything then I divide by 9 and the final answer became 19,688 67.

[00:37:00]Determine the probability of randomly selecting a province that spent more than 20% of its budget on transport.

[00:37:06]More than 20% on transport. Here we are inside transport. Here we don't have any value that is greater than 20. Though we have one that is close to 20. So our probability has to become zero. If it was likelihood, we would say it's what?

[00:37:24]It's impossible.

[00:37:26]But this is just probability. Anyway, a data analysis stated that value P spent on housing housing and utility in Pumalang is more than the value amount spent on housing and utility in free state. So in other words, we need to look for the value of what P. Now what we're going to do is to find out because value of P we cannot find it out just like that. We have to allocate how much was the original amount of money. So now in other words 18% gave us this you know pumalanga had some money then they took 18 this 18 here over 100 times a given amount the total amount and they got the money as 21.

[00:38:22]So in other words we need to look for the original amount of money. Okay, we need to look for the original amount of money. So, we shall say uh that 18 18 over 100 is the same as let me see 0 comma 0 comma 187 box gives me the answer as 219 64.

[00:38:54]What am I? I'm looking for the original amount. So we shall divide through by this much.

[00:39:00]I divide through by this much. So what's there? I'm looking for the original amount of money. So what I going to do?

[00:39:07]219 64 / 0a 1 a.

[00:39:16]So the original amount of money is 170 117,400.

[00:39:23]So 117,400 54,000.

[00:39:32]So of this amount uh we want to know cuz now the P only has 30%. So the value of P is going to be we look for 30% 3 of that amount. So what is it called?

[00:39:53]* 3 / 100.

[00:40:01]So the answer became the answer is 30.

[00:40:15]We have 35,588.

[00:40:20]This is in Pumalang. Now pass the one in free state. What's how much? So what's the money in Free State? It's free state is this one versing this one that we've just got. So this is 34,133.

[00:40:35]34,131.

[00:40:37]So remember the complaint was uh the P statement on the housing utility inuma is more than the housing spent on which is valid.

[00:40:52]The statement is what valid indeed our P the one that we've just got now it's greater than that one. Okay. give possible reasons why Western Cape spends the largest amount on transport although its budget percentage spent on transport is not the highest. So here we looking at cost of living could affect it we saying cost cost of living the fuel cost also could be the con the constituent there okay we look at 3.2 two talks of their next answer book.

[00:41:49]Okay, this is the next set we're looking at.

[00:41:54]Let's go to the question. Name the type of graphs drawn.

[00:41:59]The graphs that we've just seen, they don't carry any other name apart from the pi.

[00:42:06]Apart from the pie chart.

[00:42:09]So in other words, a pie chart. Write down the second most popular reason why students walk to an education institution in rural areas. Let's check the these are the rural areas that we're looking at. Second most. So this is the most. Second most is it's this one here.

[00:42:30]So the reason being public transport the reason being what they're saying public transport public transport is to to what to expensive.

[00:42:55]Can I get the number of students walking to an educational institution because it is closer in urban area. Okay. So here we are. These are the urban areas that they're asking the reason why students. Now, what you're going to check here, what you're going to see, what you're going to see, it's going to be now you don't have this percentage. So, first thing you're going to do is look for 100us 8 9 - 7 6 - 1a 9 - 0a 4 - 0a 7 I believe you end up having 85 You end up having 85.

[00:44:07]Sorry, you end up having 80.

[00:44:11]You end up having 80.

[00:44:17]You end up having 80 comma 5.

[00:44:23]So this is 80 comma 5%.

[00:44:26]So what is the number? So it's going to be 8 8 5% of this number of that number there. So we shall go back to our question paper there.

[00:44:45]shall come back into our question paper and we shall say the 80 5* the number of students that are there which was 5 million 5 million Yeah.

[00:45:14]Yes, it was 5 million 140 54 sorry 154,000.

[00:45:26]So the final answer became the final answer becomes 4,148,970 970.

[00:45:55]Give one possible reason.

[00:45:58]Give one possible reason.

[00:46:01]One possible reason. Give one reason why the percentage of public transport not available is higher in rural areas when compared to urban areas.

[00:46:17]uh lack of proper roads proper proper roads. Another thing is they are sparsely densed. They are few people in the villages in the rural areas compared to urban areas. So the department of the government does not really put a lot of infra in infrastructure there. Calculate as a fraction with no dis with no dismals.

[00:46:50]The probability of randomly selecting a student from rural areas who worked for health reasons.

[00:46:57]For health reasons who worked for health reasons. Okay.

[00:47:08]So, who worked for health reasons? Let's see.

[00:47:17]Um, we need this, we need this in a decimal format.

[00:47:28]Sorry, in a fraction format, not decimal. So, we shall come here and say 0a 3 over 100.

[00:47:38]And this gave us 3 over 1,000.

[00:47:42]This brings us to the end of question number three. All right, let's push question number four. Question number four says talks of road accident fund rough. Is a government run insurance scheme in South Africa that comp that compensates victims who who were involved in road accidents. An extra C in the answer book shows an extract for an income and expenditure statement of the road accident fund for 2022 2023 period. Okay. Use an Xia C. Let's go and see an XC and next C.

[00:48:26]Okay, here we are.

[00:48:29]This is the next year C question number 4.1.

[00:48:33]Okay.

[00:48:35]The total estimated total estimated income for 2023 is 49,214,641.

[00:48:46]Sorry, it's 40 49 billion 214 million 641,000.

[00:48:57]So they're asking us write down the amount in words without using numerals without using numbers. In other words, we shall say 49 49 what? Billion 200 14 in median 600 600 41 1,000 target the actual amount collected in 2022 for for net rough le. Let's come to the next year. They're asking us for this amount here.

[00:49:58]They're asking us for this amount.

[00:50:02]So, what are we going to do?

[00:50:05]This amount here. In other words, we going to add this and subtract it from that, which is it going to be 48 million 781,500 551US 284,170 sorry 167US 2077 7.

[00:50:38]When you do this, you put in the calculator there. 48 78 1 55 51 minus 281 6 7 - 277.

[00:51:03]And the final answer became 4849 537.

[00:51:10]4849 53 07. This is the final answer.

[00:51:18]All right, let's continue.

[00:51:22]We've got that. They say the average amount paid per claim during 2023 was 261,721 rand. Determine the number of claims per. So what we're going to do if this is the average we shall see the amount of money that was spent in and we shall divide it by that to determine the total number of claims.

[00:51:52]So we check on the next year here.

[00:51:59]So 2023 how many claims were they? Here we are claims paid it's this much which is 43 43,284,01.

[00:52:12]Excuse me. All right let's go ahead and see.

[00:52:17]So we've just seen that what you're going to do is to divide.

[00:52:24]So you're going to get the money get the number of on average. to the number of so it's going to be the 43,284,1 divided by the money the average amount which is 261,721,000.

[00:52:48]So we divide that and we see the answer and the answer became the answer becomes the answer is see 43 28 8 4 0 0 1 divided by 6 1 7 2 1 equals to that which is 1,600 sorry 165 comma 33 but we're looking for full one so we shall say 165 cuz if you say 166 the other one won't be life.

[00:53:49]Okay.

[00:53:53]Give one possible example of an employee expenditure. Employee expenditure.

[00:53:59]An employer can spend. They spend on transport.

[00:54:03]They spend on rent.

[00:54:06]They spend on taxes.

[00:54:09]You know Lindy is the chief financial officer for RAF. She travels two different centers and is paid per kilometer traveled for the work purposes for work purposes. During 2024 October fuel fuel claims were paid at a rate of 164 3 cents per kilometer for work purposes.

[00:54:39]Table seven below shows the total total number of kilometers traveled. Sorry, she traveled for work purposes per month during 2023 2024 period. Okay, so we go on. That's the table that we see above here says determine the range. When we look at the range, what we see? Range will always equal to what? The highest value minus the lowest value, which is the highest value in 2023.

[00:55:08]The highest value in 2023 in 2023 we are here highest value we see it as 2 and 56. So we shall say 256 minus the lowest size. So it's a 200 200 56. So we shall subtract 200 56 which equals to what?

[00:55:41]minus.

[00:55:46]So you see the range as 1,800.

[00:56:04]Okay. Give one valid reason why the number of kilometers traveled during December is much fewer than the number of kilometers travel during November for both years.

[00:56:18]Why? In December people are in holidays.

[00:56:22]People December people really do what? They really work.

[00:56:31]They at home no trouble. Okay. Lindy W's employer stated that she was paid a total of 425,57 537 rands for the travel purposes of October 2024.

[00:56:52]Verify showing all calculation whether the statement is valid. Now let's go there and we see October it's this 2024 October 2024 it's this much these are the number of kilometers so we shall say 2590 times remember it's charged 164A 3 these are cents we need them to be in R so we divide by so we do that uh 259 um * 1 4 3 / you end up having so the sentiment is what?

[00:57:45]Invalid.

[00:57:47]The sentiment is invalid. Okay.

[00:57:52]4.3 Lindyway is a 5 55 year old and and a monthly or earns a monthly taxable income of 101,27 rand and 8 cents during the year 202425 tax year.

[00:58:18]Yeah. What you take note here remember whenever you see this you know it's tax so the age the money it's already taxable but it's what monthly so let's continue it says Lindy is a member of medical scheme and contributes for herself and her three children okay there we go and contributes Okay, question one.

[00:58:53]Annual medical tax credits. Remember the annual medical tax credit is calculated according to the number of what?

[00:59:02]Dependent. So remember hassle and the three children. So let's calculate this.

[00:59:08]This means the taxpayer or taxpayer and one dependent for them they going to pay this the first two. So since there were four, two are gone. So we left with the two + 2 * the each additional member. So we shall multiply it by this much.

[00:59:26]But remember the question asks you to see what you multiply by 12. 7 to 8 as 2 * 2 4 6 we have it as this much.

[00:59:44]* 12. I first simplified in the brackets I got 1,220 * 12. Now answer becomes 14,640.

[00:59:54]So determine the total amount of income that Lind must pay for 2024 2025.

[01:00:04]So when we hear this first and foremost the money has to become annual. Remember in the question here it takes what?

[01:00:14]this amount but is what monthly good thank God is already what taxable. So we shall take that amount of money.

[01:00:32]The amount of money in a month which is 101,27 runs 80 cents * 12 and we end up having 1,212,000 324 runs 96.

[01:01:00]We don't end here. We choose the bracket where it belongs. Which bracket does it belong to?

[01:01:07]So we shall go to our next here.

[01:01:11]We're saying we are having 1 million.

[01:01:18]We are saying we have wait. Let me confirm.

[01:01:31]We're saying we have 101,27 runs 80 cents. Sorry, 8 cents * 12. We got the money as 1,212,342 sorry 24 96. So where does this money belong here in this bracket? It belongs to bracket number six.

[01:01:56]Belongs bracket number six. That means you're going to use this other value on the right hand side. Which other value?

[01:02:03]The bracket as you see here which is 25,100 sorry 251,258 plus 41% of the taxable income above 857,900.

[01:02:18]So let's go and we see we shall write that bracket down which is 251,258 plus the percentage I'll write it as a comma sorry as a decimal and we divide this which became minus the money which was already in the bracket there which is 85,000 900.

[01:03:02]So here we go.

[01:03:04]We shall do that. Let's find ourselves there.

[01:03:08]25 1 258 + 0 comma 4 open bracket 1 2 1 2 3 2 4 comma 96us minus 857 900.

[01:03:45]So we end up having 396,572 396 572 comma comma 23.

[01:04:01]At this moment we need to subtract the rebate. We shall go to their next the bit. The first one is 55 years of age.

[01:04:08]So qualifies for primary. We shall come here and subtract uh 17,000 235 minus the medical tax credits which we already got up here which is 14,640.

[01:04:26]So that's how we shall get our answer there. So - 17, 235 - 14,600 40 which is 36 which is 360 64 600 190 7A 3 that's the money that we are looking for and this brings us the end of question number four let's look at our last question which is question number five Roy is a South African English language teacher to supplement his income he teaches English online as a foreign language to to South Korean needs to South Korean and South African learners.

[01:05:35]Table number nine shows how the income in runs is generated from teaching English as a foreign language to South Africans and South Korean learners.

[01:05:47]Okay, let's look at that and see we have this much and it talks about okay uh when is charging South Africans he charges a basic fee of 2,000 and a monthly amount of 4 45 runs 50 cents per hour then charging the South Koreans and he charges a flat amount of 95 rand per hour okay we Continue. We shall also use the table to answer the questions as follow. An extra D in an extra book.

[01:06:22]Okay.

[01:06:24]An extra D.

[01:06:33]This is what it looks like.

[01:06:44]Okay. next day. So that's how it looks like. A let's go to the questions and we see calculate roy income if he told a South Korean sorry if he told South Korean learners for 15 hours.

[01:07:03]So simple becomes 15 * 95 rand and your answer becomes,425 rand.

[01:07:18]Okay. Write down the formula to calculate the total income for teaching English as a foreign language South African. So this one changes little bit why it has basic amount. Every month you pay this whether you have attended or not. Then you pay 45 rand 50 cents per hour.

[01:07:44]Okay. Identify identify the graph A or B which shows the income generated from teaching South Korean learners. Give a mathematical reason for your answer.

[01:07:58]Let's look at the graph. This is how the graph looks like. Uh it the dotted one which is a you understand.

[01:08:10]So we shall have we shall have graph graph A. Why?

[01:08:20]Because it has no fixed what?

[01:08:29]Fixed cost says from zero. You the moment you start attending, you pay. If you don't attend, you don't pay. It has no fixed cost.

[01:08:40]Whereas the first one has a fixed cost of 2,000. That's why you see it starts from a given value here. This is a fixed cost here. and no fixed cost.

[01:08:53]Okay, we continue. Write down the number of hours where income generated from teaching learners from both countries is approximately the approximately the same here. Where do they approximately the same? You see, so this is at around what?

[01:09:14]40 hours. You can say 40 40 hours.

[01:09:20]Why we are approximating?

[01:09:23]In other words, someone else could have said 40 41 hours.

[01:09:30]Okay.

[01:09:33]5.2.

[01:09:34]In South Korea, the average class size is 22 learners per class. In a particular school in South Africa, the class sizes size size ranges from 3 to 68 learners per class. Below is a box and whiskers plot showing the distribution of the class sizes for this South African school.

[01:09:58]Okay. What we analyze here? We have the minimum.

[01:10:03]Q1 is missing. We have our Q2. We have our Q3 and we have the maximum value.

[01:10:11]Write down the value of the fifth percent 50th percentile. This is the same as Q2. So here the answer becomes 40. This one here the median. Okay. The inter quartile range of the South African school is 23.

[01:10:29]Roy stated that the lower quartile of the South African school is exactly the same as the average class of South Afric. So what we're going to do we lower quartile which is Q1. But remember they have already given us our QR interal range equals to. So for us we bring in the equation we say inter range for them to have got for them to have got the inter quartile range. They took the upper quartile minus the lower quartile which is Q3 minus Q1. So we already have our Q our inter which is 23 equals to Q3. Q3 is the upper quartile which is what 46 it's available but we don't have Q. So we are finding Q1.

[01:11:21]So it becomes 46 minus Q1 because we're looking for Q1. The Q1 jumps out and the 23 enters which becomes - 23. So our Q1 becomes 23.

[01:11:37]But remember the Corinian classes they are in 22. So the statement is what? It's invalid.

[01:11:49]It's not exactly.

[01:11:52]Okay.

[01:11:56]5.3 Roy decided to relocate to South Korea to teach English.

[01:12:03]to teach English.

[01:12:07]So now table 10 below shows information about the residential electricity tariffs used in South Korea.

[01:12:16]This is what we have but for different seasons. Anyway, let's go there and you see here we are. So the first question says in runs the total cost for for 325 kilow of electricity consumed during this month of May. Now what you're going to know take note of that this month of May. Let's go to the tables and analyze them. The first table says summer from 1st July to 31st August. What we are looking for it's May definitely cannot use this table here cuz our calculations are for May. May is before July. So we come back to this.

[01:13:06]This one says 30 sorry 1st January to 30th what? June. Then this is okay. Why our May is in between there even though it's not indicated here my friend. You cannot reach June without reaching May.

[01:13:21]So it's May first then you go to June.

[01:13:23]So this is the table we are using the one above it's not for us for now. Okay let's continue. The question says calculate in runs the total. So what we going to do? We shall find the same way we've been doing uh electricity tariffs.

[01:13:39]We shall find out for 32 kW what will happen? So we are here the person has used 32 kW of electricity together. So stepped electricity charge this is what it's trying to tell us. For the first 200 we'll pay this per kilowatt. Then if we remove the 200 from here what do we remain with? That's what I want us to calculate now. So we have our money as sorry our units are minus the 200 which 200 this in block number one. Block number one needs a maximum of 200. So we shall say 200 times how much is each when we come here 200 100 121 plus this is 200 but he has used 320 meaning when you subtract these two you remain with 125. It has been pushed to the second bracket but second bracket needs a maximum of 200. So we stop there and we say 125 times this amount of money 60 60.

[01:14:54]Now we have we what we have done it's a step toward this one here it's a step toward charge plus demand charge. demand charge they're telling us demand charge is an additional charge payable only in the last block of consumption our last block of consumption was block number two so which gives us 1.6 so we shall add 1.6 six. This is not run. This is the Corinian money. Then what we're going to do there, we shall get it and put in the calculator.

[01:15:34]When you put in a calculator, you'll end up having an answer which is when you add anything there, you get 49,820.

[01:15:47]These are Korean ones together. These are Korean ones. But the money is wanted in runs. Guess what we're going to do?

[01:15:56]One round equals to this much. So for to get this round, we shall need to divide by the 78, this one here.

[01:16:07]And the answer becomes a give one possible reason why usage intervals for summer and other seasons differ.

[01:16:31]It's because in summer less electricity is used.

[01:16:42]Less electricity is used or you can say to discourage people from overusing power electricity. And this brings us to the end of the question paper. Thank you very much.

[01:17:04]Let's look at the possible solutions.

[01:17:06]The possible answers to this question paper best education payment of education republic of South Africa senior certificate examination national senior certificate examinations college paper 1 June 2026 instructions are there. Let's go straight to question number one. Okay.

[01:17:23]Question number one says the table below gives definitions of terminologies used in mathematical literacy. One side we have a and the definitions they shall use them to match this part here. All right. As we go through we shall find out the answers as they go. Up.