This video demonstrates Grade 11 Mathematical Literacy exam revision through practical problem-solving, covering key skills including unit conversions (volume, temperature, distance), map interpretation and scale calculations, geometric measurements (area, circumference, radius), probability calculations, and real-world applications like fuel consumption and resource planning. The content emphasizes applying mathematical concepts to everyday scenarios such as recipe preparation, travel planning, and furniture measurements.
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Grade 11 Mathematical Literacy June Exam P2 RevisionAdded:
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Um this is a June examination paper two grade 11.
Let's cut the chase.
Now, in question one, it says "Twilling Combined School learners plan to raise funds for their 2025 metric farewell.
They decided to bake and sell the sponge cake." Here's the picture of the sponge cake. Here are the ingredients for the sponge cake. Now, it says "It takes 10 minutes to prepare the recipe for one pan."
One pan for sponge cake. Now, it says "The cake will be baked at a temperature of 180°."
One cup is equal to 251 tsp is equal to 25 ml and 1 tbsp is equal to 15 ml. That's important information. Let's answer the questions.
Now, it says "Use the above information um to answer the following questions.
Determine the number of eggs needed for the recipe."
Uh it says two large eggs. So, it's going to be what? Two eggs. You can just say two.
Write down the quantity the quantity of baking powder in milliliters. Where's the baking powder? It says 1 tsp of baking powder. So, 1 tsp is equal to 1 5 ml. So, the answer there is what? 5 ml.
Now, it says here "500 ml is equal to how many cups?"
So, they said here one cup is equal to 250.
Right? So, we're going to say number of cups is equal to is equal to we take the we take the 250 we times by two.
Right?
We take the 250, we times by two.
No.
The number of cups so you take the 500 the 500 ml, we divide by the 250 by the 250 ml the ml and the ml is going to cancel is going to be two. The answer there is two cups. Right? It's two cups.
Now, 1.1.4 it says calculate in minutes the time it takes to prepare two pans of a sponge if pans are prepared one at the time.
Right? So, we wanted the total time total time.
So, the total time there it'll be um since they told us it takes 10 minutes to prepare one pan. So, it's going to be it's going to be two pans that means two 10 minutes. So, it's going to be two times 10 which is just going to be what?
20 minutes.
It's going to be 20 minutes. Right?
1.1.5 it says convert the oven temperature to Fahrenheit. Right? You may use the following. So, this is the formula that I'm going to use. Let's write it here.
Fahrenheit is equal to um we're going to put the degrees here.
Um the degree Celsius there.
So, um that's 180.
So, the degree Celsius are there. So, it's going to be 180°C times by 9 over 5 close bracket plus 32.
Plus 32 and then the answer for that when you punch that everything in the calculator is going to be 356.
356 it's Fahrenheit.
Right? And then in the next question here says the table below shows the list of explanation and definition of column B and mathematical terms and concepts, right?
So when we look at the layout plan the layout plan right? The layout plan here is going to be it's not the number of scale, it's not the map of town city, it's not the line draw. It's not the map showing a specific route. It's the plan that shows the layout of building or facility as seen above. So the answer here is what?
Is E, right? And then what is a ratio scale? A ratio scale is a number scale.
Ratio scale is a number scale. So the answer here is A. What is a street map?
A street map is a map is a map of a town or a city show showing all the street names and also the building. So this is the correct answer which is B.
So what is a radius? Radius is a distance from center to circumference. It's a line drawn from one side of the circle um to the other side from through the center. Yes. That's the radius. So the answer there is the radius 1.2.4 No. That is not correct. A line drawn from center of a circle to the circumference. Yes, that's correct. So, the answer there is C.
Right?
So, let's look at Let's look at question two.
Question two, it says um the sitting plan below represents the sitting arrangement um on a coach of a train. If you look at this, and this is the coach of a train, all these black um squares or boxes are chairs, are seats.
So, if you count how many of them, they are 98.
All of them, they are 98.
If I'm not mistaken, right?
So, we are given the key here below as well.
We're given the key. Here's the key.
Let's count the chairs.
It's a six six six six How many six here?
It's 12 12, which is 24 24.
It's 12. No.
It's six six six six, which is 24 + 24 is 48.
Right?
Um plus another six, um which is 30. I was wrong.
Um let me use the calculator.
It's 24 plus another 24 24 + 24 is 48.
Um plus another six, plus another six is plus another six, it's 60.
They are 60 in total.
They the chairs.
The chairs there. Right? And these are the doors. It's a front door. It's a door. It's a first door to the to the toilet or to the bathroom and another door there.
And then these are the windows that were told today. So, these are the seats with the with the power socket.
And then these are the seats without power sockets.
Right? And the doors. Now, let's answer the question. It says, "Use the seating plan above to answer the question that follows. How many windows does the coach have?"
It's 2 4 6 8 10 12.
It's 12 windows.
Right?
And then it says, "Write down the number of seats having the power sockets."
It's 1 2 3 4 5 6 7 8 9. It's nine of them.
Here's the key there.
It says, "In general direction is the front door."
In which general direction is the front door from seat K1?
Here's seat K1.
So, it's in there.
North.
North what? West. Right? So, the general direction it's in the northwest.
Right? Explain the term meaning given in the scale. So, we have the scale here.
It's 1 is to 1 50. So, it says one unit on the map represent um Let's say on the plan.
One unit on the plan represent 150 units.
Units in reality.
Right? 2.5. It says determine the ratio of toilets to doors to the coach to the Determine the ratio of toilet doors to coach doors.
How many coach door? It's one.
All right?
Um it says toilet door to coach door.
So toilet door to coach door um the toilet door is two.
And then the coach the coach door is one. It's two the toilet doors. It's two is to one or you can put it as one is to two. It's the same.
Right? It says give the set of direction for the shortest route from B5 to H1.
Where's B5?
Here's B5.
Let's say you were sitting there.
So the direction for there you going to uh turn right to the aisle.
Right? The set of direction um the set of direction when you are sitting there you going to turn right.
Um from B5 you going to turn right.
And then walk to the aisle. You turn right and walk to the aisle. Right?
Um walk towards the aisle. And then what are you going to do? Kayla, let's write it. Let's write it.
They said set of direction. That means it has to be lot of direction. So you going to say from B5 turn right and walk towards the aisle.
I hope this is the correct direction.
So, another direction, this is the direction that I pointed. Another direction here, you turn left, and what you do and continue straight up until you reach you reach what is that? You reach H.
You continue straight up until you reach eight.
So, let's write that one.
You turn left, turn left, and continue straight until you reach the front the front of row H.
Right?
So, this is the direction.
You turn left, you continue straight up until you reach there the front of row H. Here's the front of row H, there.
Another set of direction there.
Another set of direction there.
Um let me use a different color there.
Um so, from there, what do you do?
>> [clears throat] >> You turn right up until you meet H1.
So, you're going to put it in this way.
You turn right and pass two seats two seats.
Then you will reach Then you will reach H1. So, when you go this way you pass two seats. One seat, two seat, and then you reach H1 there.
So, that's the answer there.
Now, let's look at the Let's look at a 2.7.
2.7, it says the length is measured.
The length of 6 m is measured.
Right?
The length of 6 m is measured on the plan. So, we have the length on the plan.
6 m is measured on the plan. It says calculate the What is this length will be in real life? So, 2.7.
This is 2.7. So, what are you going to do here?
Um you going to say plan is to real life.
The plan So, the ratio what we have there on the plan is one, on real life is 150. So, what are we looking at?
We are looking at the plan we have 6 m 6 cm, sorry. 6 cm.
So, what is the length um in real life, but it must be in meters as well.
So, this is what we want there.
Right?
Um from there to there, we times by six.
Right? If you notice there, we times by six.
And then, from there, from there to there, we times by six as well.
So, real life. So, we're going to say real life distance.
So, it's going to be what?
It's going to be the 150 * 6, which is the 150 * 6. It's going to be 900.
Uh >> [snorts] >> times six, yeah. It's 900. 900 what?
Centimeter. Remember, the distance they said it must be in what? In meters. So, from there, 1 m is equal to 100 cm. So, from there to there, so what you do, you divide by 100. So, we're going to divide by 100 there. So, which is is going to be what?
9 m. In real life, um that distance is going to be what? 9 um meters, right? Okay, let's look at 2.8 now.
2.8 it says, "What is a probability as a percentage of a random of randomly selecting a seat without a pocket a power pocket a power socket um out of all the seat?" So, what are we going to do there? In 2. Um that's 2.8.
So, we want the probability. Probability of seat with um power seat with power socket.
Um power socket.
So, how many seats are there in total?
There are 60.
And then, probability of having seat without power socket. So, remember the seats are 60 and then we were asked that how many seats the number of seat with power sockets they are nine. So, 60 minus nine So, it's going to be 60 minus nine over 60 which is going to be 51 51 over 60 and then we times by they wanted in percentage. So, we times by um let me punch it in the calculator. So, 51 that means there are 51 seats without a power socket over 60. So, we divide by um we divide by 60 we times by 100. So, it's 85. So, it's 85 85% chances to get the seat without the power socket.
Right?
Now, we are done with the two point.
Let's look at question three. Question three it says Lihlohonolo needs Lihlohonolo needs a coffee table that he can use as a table and as a storage. He went for shopping.
Um he went for shopping and found a fluted marble storage coffee table. So, here's the picture of the table and here are the dimensions the height of the table and the diameter of the table.
Right?
It says use the information above to answer the question. Calculated the radius of the table. Um the radius guys when we talk about radius radius if you have if you if you are given a diameter a radius is from center to circumference the radius. So, that means you take your diameter you divide by two which is going to be 40 cm you divide by two it's going to be what? 20 cm. That's your radius there.
Um 3.1.2 it says write down the ratio rounded to one decimal place of a diameter is to what? Is to height.
So, the ratio of diameter is to height.
So, ratio of diameter is to height. Our diameter there is 40.
Um is to 50.
Then we divide by What are we going to divide by? We wanted the ratio to be one in this side.
So, we divide by 40. So, it's going to be one.
So, we divide by 40 there. It's going to be one. So, when we divide 50 by 40, 50 50 / 40 it's 1.25.
It's 1.25.
But it said, since it's 1.25, they said they should round off to one decimal place. Therefore, our answer is going to be one is to 1.3. This one this decimal we'll change it to one. It's one is to 1.3. Now it says 1. 3.1.3 says calculate the area um of the bottom part of the table.
So, the area of the bottom part of the table is that we must use this formula. So, we wanted the area of the bottom part. The area of the bottom part there.
So, it's 3.1 3.1.3.
So, 3.1.3 The formula it says area You'll be given that formula. Area is equal to pi r squared.
Pi * r squared. And then we are given the pi. We are told that the pi is 3.142.
You'll be given all the time. So, pi it's 3.142.
We times by the radius. The radius of that we were asked the radius of the of the table, it was 20. So, it's going to be 20 squared.
But it's centimeter, you must remember.
It's not just 20, it's 20 cm squared.
So, when you punch that in the calculator, it's going to be um 1,256.8 cm squared. Remember, it's this cm squared. It's going to be cm squared, the units there.
3.14 Um it says now Lethonola decides to use a spray paint to cover the top of the table using three coats. So, he's going to spray it the three times.
Then it says he claims that he will need two cans of spray. Verify the following.
Verify showing all calculation if he's correct.
And then we're given the note. It says one can of spray is equal to 400 ml. It says 400 ml can cover this area. So, the 400 ml of spray can cover 0.2 m squared. That's the area that it can cover.
So, we already have the area here.
We already have the area.
And but the area that the spray can cover it's in meter squared, but the area of the table of the bottom of the table is that. So, the first thing that we need to do we need to convert we need to convert we convert the cm squared to meter squared. So, what we do, we divide by um, 1,000 squared. Which is not 1,000, it's 100.
100 squared. Why?
1 m squared is equal to 1 1 m squared is equal to is equal to 10,000 1,000 cm squared.
Right?
Yes.
I'm correct.
Okay, anyway.
Anyway, I'm not sure about that. But what I know here, what are we going to divide? We're going to divide by what?
By 10,000. Wait.
We're going to divide by 10,000.
Um, 10,000. Um, yeah. So, we're going to take that area.
That area. So, it's 1,000 256.8.
We divide by what? By 10,000. What do we get to 10,000? It's 100 squared.
So, it's going to be 0.
It's going to be 0.12568 m squared. Right? We already converted that, right? Why are we converting it?
We're told the area that the spray will cover the 400.
Um, the area that's in one spray that you can cover. So, the next thing that we're going to do the next thing that we're going to do so, we want to know the number the the total area the total area total area painted.
So, the total area that will be painted.
Um Um the total area that will be painted will take the number of coats number of coats times by times by the area.
the area So, we were told that he will need a three coats.
So, we take the number of coats, it's three, we times by the area. So, that the area that will be painted.
If That's the area. So, it's going to be 0.12568.
We times by three. So, if you punch that in the calculator, it's going to be 0.377 04 m². That's the total area that will be covered by spraying um by spraying this area three times.
Let's say guys, let's say this is was the bottom. Sprayed once.
Right? So, if it's sprayed once, this is the area that will be covered. If you sprayed for the second time and the third time, this is the area that the spray can cover.
Right?
Right? Okay, that's what I calculated there. And then, you must remember You must remember Remember this that one can covers 400 ml.
So, one can of a spray covers 400 ml.
So, now we're going to do now we're going to do the number of cans.
Number of cans We want to calculate the number of cans.
Number of cans, what do we do?
We take the area, the total area.
And then, we divide by the square meter, which is the 0.2.
So, it's going to be this area here.
Which is it's 0.3770.4 square divide meter square. We divide by 0.2 meter square. The meter square meter square cancel.
So, our answer there, if you punch that in the calculator, it gives us 1.8852.
Right? That's the number of cans, but there's no cans that are in decimal.
Must round up to two decimal place. So, that means if you round up into decimal place, it's going to be what? Two cans.
That will be two cans that will be needed.
Therefore, Lishala Honolo Lishala Honolo um Lishala Honolo's Lishala Honolo's statement is valid or correct.
Right?
I hope I do make sense, guys. You can you can re- rewatch the video if you don't not understand. 3.1.5, it says give two reason why it is important to paint the top of the table. So, the reason to paint the top of the table, guys, there is to protect 3.1.5 Any reason that is valid.
Um um is to for decoration. Decoration.
That's the easy one.
Or you can say um to prevent to prevent moisture damage.
Moisture damage to prevent the water not to damage.
Um there.
Or you can say um to prolong the lifespan the lifespan of the table.
Right? Or you can say um to protect the wood.
The wood from scratches.
Scratches.
Right? That's what you can say there.
Okay? Um the last question in 3 3.2 there. Lesego Honale is going to use the storage to store the can the canned food that he that has a diameter of 6 m.
Calculated the circumference of one of the cans in centimeters. So, we're given the formula there. So, 3.2 let me write it there. So, it's circumference is equal to 2 * pi * r.
So, 2 * pi pi is 3,142. You'll be given even this formula will be given. And then the diameter we do not the the radius we do not have. So, but we know that this is the diameter. So, the radius is equal to diameter / 2. So, it's going to be 6 / 2 which is going to be 3. 3 what? 3 cm. So, we take the 3 and substitute there. So, if we punch that everything in the calculator, it gives us 18, 852 cm squared. Right?
That's the circumference. Circumference is the perimeter around the can. Right?
Um let's go to question four.
Question four we're going to use this annexure, which is annexure A.
Uh yeah.
Right. So, it says Jane is traveling from Senekal to Smithfield via Bloemfontein to visit her friend. Annexure A shows a map of of the Free State province.
So, this is the map. Right?
Let's just identify where is the Senekal?
Mhm, where is the Senekal? Where is the Senekal?
I don't see it. Okay, here is it.
She's going to travel to Smithfield.
Right? There's the Smithfield there.
Right?
Okay, let's go and see the questions.
Um it says, "Identify Identify one country shown as a whole on the map."
Guys, you cannot say it's South Africa because the Bloemfontein and all that.
This is the country that shows on the map, which is it's Lesotho. It's not South Africa. It's Lesotho.
Right?
Um and then 5 4.1.2, it says, "Write down the national road that Jane will use for her trip." The national road Jane will use for her trip. Let's look at there.
So, Jane Okay, let me just Um So, this road This road is N This road is N5 and then N2.
And then this road that goes there, it's N6. So, it's 5 It's 5 1 2.
So, the answer here, it's N1.
Am I right?
No, it's five.
It's N5.
N1 N2 N6 It's 516.
516 Right?
It says identify two towns that Jane passes through on her journey to Senekal via Winburg the town that she passes.
So, the first one from here is Winburg.
And then she doesn't pass this town.
Um in order to pass the town it has to be on the road, right?
Um and then the Redders- the Reddersburg So, it's what?
It's Winburg.
It's Winburg.
And Redders- I don't know how the Reddersburg written is were It's a Reddersburg.
Reddersburg Right?
Yeah.
Okay. Now it says in 4.2 Jane is traveling at an average speed of 120 km.
She left at the Senekal at 4:00 a.m. to Smithfield which is a 300 km away. What do you need to be mindful here? It's a return It's a return trip. She has to go back home as well.
So, use the information above to answer the following question. It says calculate the time she will arrive at her brother's place.
Her brother's place Um Okay.
Um the time that will visit her brother's place. So, we're going to use this formula, guys. You'll be given.
The reason I wrote it here because you'll be given. So, to get the time there, you use this formula.
So, the distance What is the distance?
The time she will get there. So, which is we're going to use one trip. So, it's 313.
Um 313, it's a distance. We divide by the speed, which is the speed it's the average speed is 120. So, it's going to be it's going to be 2, This is what you get in the calculator.
2,08 um 83 333.
So, that's not the time, guys.
The time you cannot say it's 2,6 hours, right?
So, you must convert these into into minutes. These are the minutes and these are the hours. So, you take that.
You take that.
0,683333 Um you times it by 60. You convert it into minutes. So, what are you going to get today? You're going to get 36,5 what? Minutes.
>> [snorts] >> So, therefore the total time that she will travel Let's write it there on top.
So, the total time the total time she will travel it's 2 hours.
In fact, it's she will get there at what time?
So, she left at 4.
So, plus the 2 hours.
Right? Plus the 2 hours.
Plus the 36,5 minutes.
So, it's going to be once she's going to get there at 0. at 0686 61. This is going to be 6 6 hours.
They There's no There's no You must put that in minutes. You round up, so it's going to be 37 minutes, right?
So, she will get there at 6:37.
All right? Still in the a.m.'s.
4.2.2, it says Jane claims that the total amount of the of money that she will spend for her trip on petrol for her trip will be less than 750. The cost of 1 L of petrol is 23.26 cents and her car's fuel consumption is 100 km per per per 5 L. So, this is the consumption of the car. It uses 5 L per 100. Says, "Verify the following um the following um by showing all calculation if her statement is correct.
This is 4.2.2, right? So, this is what we're going to do.
Um We're going to start with the total distances as I've mentioned that the total distance is the round trip. It's 318. We times by two, which is just going to be 628 km. That's the whole distance for the round trip. So, what you do what you do in order to get the number of liters number of liters of petrol of petrol she will use um you take the distance. It's 626.
You take the distance 626 km. You divide by 100.
Where do Where do you get the 100?
Um, in order to get the liters, we the fuel consumption is 100 km per 5 L. So, if you take Uh, if you take If you take the the the 625, the total trip, you divide by 100, it's going to tell you how many liters she's going to use. So, the liters she's going to use, let me put it in the calculator. 626 / 100 is and there's this There's this five here. So, what do you need to do in order to put it like that, you times by what? You times by 5 L.
So, it's going to tell you it's going to tell you how many liters.
So, it's 626 times by what? By five.
Okay, it's Let me type it again. It's 626 / 1,000.
Come on. 626 / 1,000.
By 100, you times by 5 L.
So, it's 31,3 L. That's the liters that she's going to use, right? So, in order to get the cost now, the cost in rands. So, you take the number of liters, which is the 31,3 L.
Um, you times by the money.
Right? You times by the money, which is the 23 rand, 26 cents. So, the money is going to be um times by 26.23 26 23.26 23,26 So, the money is going to be 728.0,4 cents.
So, if you look at the money that she claimed, that is going to be less than 750. So, it's less than 750.
So, you will say she is correct.
She is correct. The money this is less than 750.
That's it, guys. I hope I make sense.
Please, don't forget to subscribe, like the video, leave the comment. Um all the best with your paper too. Cheers. Bye.
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