2026 05 25 - Maths F5 - P1 prep sessions - May 2023 P1

Added: 2026-05-27

[00:01:40]You speech speech.

[00:02:03]One But she's she's on high.

[00:02:57]>> Yeah.

[00:02:59]>> Yeah. I'm not going to send it. Sorry. I just remembered.

[00:03:08]>> All right.

[00:03:09]>> Hey. Hey J. Good afternoon. How you doing? Good to see you all on today.

[00:03:15]>> Yeah, we did uh four papers already for the day. So, this will be the fifth one, which leaves only um two papers left for tomorrow.

[00:03:25]I get the econ. Look at that. Nice.

[00:03:30]Yeah. And I have to start very soon because I need to finish by 3:45 to have a space before my 4:00 class starts.

[00:03:43]All right. Sorry.

[00:03:45]So, J more.

[00:04:01]Okay, cool. Right. Okay. I just sent the um 1023. The one we're going to work on now in the chat. Yeah, I left it actually here with the with those who were here um while I went on the kids.

[00:04:13]So, >> uh we're just going to we're going to just take a little bit of a skip a skip walk through this this particular paper, but um feel free to check out the other papers we've done earlier today.

[00:04:32]>> Okay. So, that's a 2022.

[00:04:35]That's it. 2023 there's no is the same is the same first two questions and question six and seven is the same.

[00:04:46]All right. So, -3 2 + -2. So, when you when you square something, you're actually doing multiplying by itself.

[00:04:53]And a minus by a minus is a plus, right?

[00:04:55]So, - 3^ 2 will give us pos 9 - 2 will give us pos4 and 9 + 4 will give us 13.

[00:05:06]Okay. What percentage of 40 is 8? Well, we've seen this quite a few times in the January papers and also a couple times here. So you put 8 over 40 multiply by 100 knock off a zero knock off a zero. 4 into 8 goes 4 into 4 goes 1 into 8 two times and 2 by 10 will give us 20.

[00:05:25]All right number three when 045 is written as a common fraction. So 045.

[00:05:32]So if you're not sure what to do there basically you put a one under the decimal point and put zeros for every digit thereafter.

[00:05:40]Right? Right? So basically you're going to get 45 over 100. And if you simplify with nine, sorry, with five, 5 into 45 goes nine times and 5 into 100 goes 20 times.

[00:05:54]Okay, scrolling down. Right? If 235 by 48.7 is 11,444.5, then 2.35 by 4.8, right? So the 2.35 move the decimal point two spaces to the left and the 4.87 moved us one space. So in total we move three spaces to the left which will put the decimal point behind between the one and the four which means our answer here is 11.4445.

[00:06:28]All right. Um the test was marked out of 88. Wasn't this on the first page last time too? A boy scored 60% of the marks on the test. So 60 out of 100 by 80.

[00:06:40]So that that that that 6 by8 of course is 48.

[00:06:46]All right, let's go. So Dan, we come up with Dan. So this is a right. So Dan sold 40 tickets over 5 days. Each day he sold three tickets more than the previous day. What is the ratio? What is the ratio?

[00:07:02]What is the ratio of the number of tickets sold on day three to the number of tickets sold on day five?

[00:07:10]Okay, so day one, day two, day three, day four, day five. Let's let the number of tickets on day one just be X. On day two, he sold three more tickets. Cool.

[00:07:23]On day three, he sold three more tickets. On day four, he sold another three tickets. And on day five, you sold another three tickets. Okay. So the total x, so you have five x's. 3 and 6 is 9 + 9 is 18 + 12 is 30.

[00:07:41]So now coming up here, we were told that the total number of tickets over the 5 days is 40.

[00:07:48]So uh we'll subtract 30 from both sides to start.

[00:07:53]we'll get 5x = 10 which means x = 10 over 5 which is 2. Now the ratio of day three to day 5 is 2 + 6 / 2 + 12 which is 8 / 14 both of which are divisible by two so you get a 4 to7 ratio.

[00:08:19]Yeah. So quite a bit of working for a multiple choice question. This is in my opinion not an appropriate question for multiple choice based on the amount of work you had to do. Anyhow, which of the following sets is defined by? So x is an element of z. So you have um x is greater than or equal to minus2 less than equal to minus4 sorry. Right? So that has to be this one from minus2 all the way to four. Right?

[00:08:48]So it includes those and all of the integers between. So that's what Z means. Z means whole numbers or integers. So all of the whole numbers from minus2 all the way to positive4.

[00:08:59]Right? The set of positive integers that is divisible by six is an example of an infinite set. Right? So there of course numbers increase without bound. There's no known largest number or no known end.

[00:09:12]All right. So um in number nine now right. So if the number in U sorry question yeah um is 25 the number in A is 14 number in B is 15 and A union B A union B is 23 right then N intersect B right so A intersect B is equal to the number in A plus the number in B minus the number in A intersect Right. So you have 14 + 15 - 23 that's six.

[00:10:02]Okay. So that's the first page. Uh in class people are you okay with page one?

[00:10:06]Have you any questions? Any particular item? Anything you want to go over? We good? Yeah. All right, Haley and Jane, let me know how you guys feel in page one now. Please uns good. All right, cool. Then we go to page two.

[00:10:21]>> Right. Okay. Page two.

[00:10:24]Um, right. So, item 10 and 11 refer to the following vin diagram which shows a universal set and two sets TN and C.

[00:10:32]Sorry, one. Let me see if that is that way. I'll print that copy for you.

[00:10:57]>> So, just pull it when you're ready.

[00:10:59]Anything else?

[00:11:24]Awesome.

[00:11:39]Think one time.

[00:12:51]So I just kind of frozen because they had a bit of a head start, right?

[00:12:58]>> Okay.

[00:13:00]So, universal set, two sets, TNC, um, tennis and chess. Okay. How many students play both games? So, one sec.

[00:13:09]How many students? Okay. A slightly wider brush.

[00:13:15]Both games, right? So, you see in the middle there, right, that's Paul and that is Remo.

[00:13:24]Yeah. So, Paul and Remo play chess and and if they play chess, they play tennis, too. But you can play tennis and not chess as as Ali, Alex, Kila and Tom do. So two is the answer here. So two students play both games.

[00:13:45]How many play exactly one game? All right. So that's um Ali, Alex, Scala on top. So that's the four.

[00:13:55]Okay.

[00:13:57]All right. In class people, are you okay with this one here? All right. Uh Haley and J, let me know if you could if you to reexplain. Not a problem either way.

[00:14:06]Yeah. Okay. 12. Okay. So, more sex, boy.

[00:14:09]All right. So, the 30 students in teacher M's class um have either a dog or a cat or none of the two.

[00:14:17]16 students have a dog, 12 have a cat, and the remainder have neither a dog nor a cat. Which of the following vin diagrams correctly represents this suppose it as option D right so you have either a dog or a cat or none of the two you don't have a dog and a cat right so no intersection okay so at a bank okay we saw this in the previous paper EC260 is equivalent to a dollar US for every dollar US exchange um an EC10cent fee is deducted as an exchange fee okay cool So um US $1 is equivalent to EC $260 minus a 10 cent charge. So essentially effectively rather you are getting $2.50 EC for every one US. So if you bring a,000 US, you simply have to multiply that by a,000 to ship the.3 spaces giving us 2500.

[00:15:24]All right. Address which costs 1,800 is being sold at a discount of 10%. The amount of the discount is so 10% of 1,800 is 180.

[00:15:33]It was always 18. It was 180 before.

[00:15:41]It was 18 because the price was was 180.

[00:15:44]Now they've added a zero to the price.

[00:15:46]So you knock off a zero, you get 1,800.

[00:15:49]Well, 180, sorry. Right. If 7,000 is borrowed at the rate of 5% perom for three years, the simple interest is so 7,000 by 5% then by three. So knock off two zeros here, two zeros there. 70 by 50 will give us 350.

[00:16:09]then by three. So zero five carry one.

[00:16:12]3x3 is 9 + 1 is 10. So 1050.

[00:16:20]An article was bought for 125 and sold for 100. The loss as a percentage of the cost price. So um 125 is the cost price and you're going to minus um 100 which is the selling price.

[00:16:39]So you have a $25 loss and they want that as a percentage of the cost price.

[00:16:44]So it's 25 therefore over 125.

[00:16:49]So that's 15, right? So that's going to give us 20%.

[00:17:00]Right. Um 20%. Okay. So that's it for page three in classical. You okay with page three?

[00:17:07]Any questions? Does anybody?

[00:17:09]>> No.

[00:17:09]>> Yeah. Yes. Oh, >> yeah. Helen. Okay. Thanks. Yeah.

[00:17:14]You're good. Okay. Go in again.

[00:17:17]So, let's zoom out a little bit so we could fit some stuff on the screen here.

[00:17:22]Uh, the cash price of a television is 350 when bought on higher purchase. A deposit of 35 is required followed by 12 monthly payments of $30 each. How much is saved by paying cash? So 35 is the deposit and you're paying 12 payments of 30 each.

[00:17:40]So we have 35 by 3 plus 360 uh 395.

[00:17:48]And on top of that, well, you have to compare it to the 350, which is the cash price, which is $45 cheaper. So it's a $45 saving.

[00:18:02]problem, right? 18. If the simple interest on 900 at 4% is 108, what is the value of of t?

[00:18:12]It's t years, right? So, check this.

[00:18:13]Right? So, if we if we just find 4% of 900, right?

[00:18:24]Knock off the zeros. 4 by 9 is 36. So, that's the interest per year.

[00:18:28]If if we if the total interest is 108, we'll divide by the per year interest, right? So again, you can divide by different numbers. Let's try 12. 12 into 36 goes three times. 12 into 108 goes nine times. And then 3 goes into 9 how many times? Three times. So 3 years is the answer here.

[00:18:55]7 times the product of two numbers a and b may be written as so the product of two numbers a and b is of course a by b 7 * that will just give us 7 a 1 over 2x + 1 over 3x is not equal to 1 5 x 2 or 2x. So the common denominator here you could use you could use 6 x^2 if you want right 1x 3x will give us 3x 1x 2x will give us 2x. So we essentially have 5x over 6 x^2 and the x in the numerator will cancel with the x^2 giving us 5 over 6x which is option B.

[00:19:42]Right? At the end of any year, a car is worth 5%. Oh, we for see this one. So, we know the answer is 20, right? A car is worth 5% less than what it was worth at the beginning of the year. So, it's it's depreciating by 5% pero. If the car is worth 19,000 in December 2021, what was the value in Jan 2021? Okay. So, again, value at start minus 5% of the value gives us well 19,000. The value itself is 100%. when you minus 5% you get 95%. So what we're saying is that 95 over 100 multiply by the value gives us 19,000. So to solve for the value we divide by 95 over 100. And when you divide them with fractions, what's the protocol? You change divide to multiply and you invert the divisor, right? So 95. Sorry, I don't know why I have was 19. Oh, okay. Okay. Okay. Oh, they added a little extra. what you call it layer here. Okay. So to make this cancel easier, we'll divide by five. We'll cancel along with five here. So that'll be 20 and that'll be 19. And then of course um 19 Yeah, 19 into 19 goes one and 19 into 19,000 is a,000 times and 1,000 by 20 will just give us 20,000.

[00:21:05]Okay. Okay. A man's regular pay is $8 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $480, how many hours of overtime did you work? Okay, so first things first, 40 hours by $8 per hour is $320, right? Um, if he was paid $480, it means that any amount above the 320 is overtime.

[00:21:35]And then the overtime rate is two times or double the regular rate. Right? So 2 by 8 is actually um 16. And if you have 160 over 60, we're going to get 10 hours.

[00:21:48]That's option B.

[00:21:52]All right. 23 looks like a nice little piece of substitution.

[00:21:55]X2 + 3 Y over XY. If X is 4, so we have 4^ 2. Uh y is 2. So we have 3 by 2 all divided by x by y which is um 4 by 2.

[00:22:10]Okay cool. Um so 4^ 2 is 16. 3x 2 is 6. 4x 2 is 8. So we have 22 over 8 which if you divide by two will give you 11 / 4 which then simplifies to 2 and 3/4 as a mixed number.

[00:22:28]Okay. And 24. So now 5 by 2x - 1 is 35.

[00:22:33]So let's divide by 5 first. That'll leave us with 2x - 1. 35 / 5 is 7. Next we're going to add one. 7 + 1 give us 8. And the next step is to divide by two. And 8 / 2 is 4.

[00:22:51]Okay. So that's the end of page uh four.

[00:22:56]17 to 24. in class are okay with 17 to 24.

[00:23:00]>> All right, we good there. All right, Haley and Jade, let me know how you guys feel about that. Please and thanks. All right, cool. All right, let's check out this page and see what it has to offer.

[00:23:12]John has X marbles. Max has twice as many marbles as John. Max then gives John five of his marbles. How many marbles does John now have? John Max John has X. Max has twice X. Then Max gives John five. So John increases by five, Max decreases by five. So John now has x + 5, right? Given that three star 6 is 12, 2 star 5 is 9. So this one you really had to kind of plug and play. But we know the answer is D, right? The answer is this. So 2 A + B, right? So 2x 3 is 6. 6 + 6 is 12. 2x 2 is 4. 4 + 5 is 9.

[00:23:58]Right? The order of this matrix. So we have 1 2 3 rows 1 2 3 four columns. So that's a 3x4 matrix, right? And 29 refers to the following vectors, right? So P minus Q. Okay, cool. So that'll just be 3 - 2 and 7 - 5. So when you minus a minus 3 becomes a plus. 3 + 2 is 5. x - 5 is 2 5 2.

[00:24:30]Let's check out 28 and 30. Um 28 the determinant of P, right? So the determinant is the product of the yellow elements on the lead diagonal minus the product of the elements on the on the non lead. So that's going to be 8 by 5 - 6 by 7. Right? So that's 40 - 42 that's minus 2.

[00:24:57]All right. So that's going to be here.

[00:25:02]Okay. Oh, divide. Sorry. May 2023. And I'll see you. Okay. It wasn't so long.

[00:25:07]Sorry. May 2023.

[00:25:10]Right. Um, now we have a little vectors question. Let's take a look. Item 30 refers to the following diagram of triangle OM in which R is the midpoint of O and T is the midpoint of OM. All right. Okay. Further O R.

[00:25:26]All right. So O R which is from here to here is A and also OT is B.

[00:25:38]Now R is sorry R is the midpoint right which means that it cuts it cuts the whole line O L in half. So if this half is vector A then this half is also vector A. Similarly O O T sorry T cuts O M in half cuz it's the midpoint which means if this half has a vector of B the remainder also has a vector of B.

[00:26:03]So, O L is actually 2 A and O M is actually 2B. But what do they want? They want RM.

[00:26:11]To go from R to M, you have to go from R to O and then from O to M. So, let's start there. R M is equal to R O + M.

[00:26:24]So, R O travels backwards along the line here. So, first of all, you have to input. So, that's going to be minus, right? And it's struggling half. Oh, okay. You out. All right. See if you see the dog when you go. You don't want to go and look for any. Just see if you see it. Which one?

[00:26:40]>> No. As in the the kind of brownish one, not the black one in the yard. The brown one missing.

[00:26:45]>> Yeah. She usually goes up the hill.

[00:26:50]Yeah. All right. Yeah. So, going back this way. So, again, sorry. So, we want to travel this way, which is in the opposite direction to the vector. Right.

[00:26:58]Now that the vector for that portion is A. So the inverse of that will just give us minus A. And then O M is equal to O T + TM. Both of which are B.

[00:27:14]So we have minus A + 2 B or 2 B minus B.

[00:27:23]All right. Okay. In classical, are we okay with this page here? Right. This is the halfway point on the paper. Right.

[00:27:31]One second. All right. Amj, are you okay with this page?

[00:27:37]>> Yeah. All right. Lovely.

[00:27:40]Okay. So, let me see where we at. So, about 27 minutes. Yeah. So, about Yeah.

[00:27:46]About about a minute question. Another one question. Little less than a question. All right. So, last half of the paper. Let's see where we get.

[00:27:53]Right. So given that 1 mm is 1,000th of a meter, 2500 mm. So you'll have to divide by a,000 which means shifting the point three spaces to the left. So that's 2.5.

[00:28:10]Next, the volume. Oh, do I have any numbers there? Okay, go. The volume of a cube whose edge is 10, right? So volume is equal to side by side by side which is well side to the power 3 that's a th00and right the perimeter of a square is 56 what is this area okay cool so the perimeter of the square which of course would have all four equal sides is 56 so the perimeter is well four times the number of sides so that's equal 56, right? To solve for S, we we divide by four and that will give us 14. And then the area is side by side, which is side squared. And then 14 squared is 196, right? The distance around the edge of a circular pond is that the radius in meters is okay, no problem.

[00:29:14]So the distance around here is the circumference and that's equal to 2 by pi by r. If you want to solve for r, you have to remove the 2 pi. It's connected by multiplication. So we'll divide and c is equal to 88. So we have 88 over 2 pi which could also be 44 over pi.

[00:29:35]Okay. So that's 88 2 pi. That's 31 32. Okay.

[00:29:44]So we'll do um 30 that's 33 right here.

[00:29:47]A party at a party a number of guests will serve 15. Okay. So we saw this in the previous papers. All right. 15 lers of champagne. Uh each guest had two glasses and each glass held 150 milliliters. Okay cool.

[00:30:05]So each guest had two glasses. Each glass held 150 ml, which gives 300 ml per guest. If you had 15 lers, you multiply by a,000 and get 15,000 ml.

[00:30:23]We'll then take that 15,000 ml and divide by 300 ml per per glass.

[00:30:30]Right? Now, how the zeros and three into 150 was 50 times.

[00:30:40]All right. Item item 34. Right. So the area of a trapezium is one half of the sum of the parallel sides. So the two sides the two yellow sides of the parallel sides and you find half of the their sum and they multiply by the per sorry I have to get a slightly heavier weight that yeah multiply by the perpendicular distance between them which is of course the height.

[00:31:04]Right. Right. So we need to find h. So they've told us that the height sorry the area is 65.

[00:31:10]Right. So area is equal to 12 of 8 + 18 then multiply by h. Right? 8 + 18 is 26. Half of which is 13.

[00:31:27]To solve for h we divide 65 by 13 which actually gives us five.

[00:31:41]All right. Item 37 refers to the following diagram which shows a compound shape that consists of a triangle of height 4 cm resting on a square.

[00:31:50]If the area of the triangle is 14 square cm, what is the area of the compound shape? Well, that's interesting because normally they give us this piece here.

[00:31:59]So that's the base, right? So the formula for the area of a triangle is base by height over two that's equal to 14 right so two will cancel with that two times so 2 b is = 14 which is b is equal to 7 so so that's 7 so the area here is 7 by 7 7 which is 49 and when you add 49 to 14 you get 63 Right. Okay. Cool.

[00:32:44]Okay. So, in class people, are you okay with this page from 31 to 37? All right.

[00:32:49]H and J, how are you guys doing as well?

[00:32:52]Yeah. All right. Good.

[00:33:01]Yes, divider. That's what I did for number. Yeah, that's correct.

[00:33:08]It's around here.

[00:33:13]Right. On leaving Trinidad, the time on a pilot's watch was 2300 hours. as 11:00 p.m. When he arrived at his destination in the same time zone on the next day, his watch showed 3 0 hours, right?

[00:33:24]That's 3:00 a.m. If the average speed of the journey, right, for the entire journey was 625 and the distance covered interest. So they put an extra diamond. So speed is to average speed is total distance traveled over total time taken. So the distance would be equal to the speed by the time right from 11 p.m. to 3:00 a.m.

[00:33:48]is 4 hours. If the speed is 6:25 600 by 4 6x4 is 24 100 by 4 is a 4 is 4, right? Well, sorry 25 by 100 is and 25 by 4 is 100. So 2500 kilometers, right? Mrs. Clark had arranged 15 test score as a first in order of size and selected the eighth score for reporting purposes. What did she choose as the median? How do we know that the median cuts the data set into two equal halves?

[00:34:23]So if she selected the eighth score as the median, it means you have the first seven before and then seven after. So there's seven scores here, seven scores after.

[00:34:34]Right. Okay.

[00:34:39]Items 40 and 41. Refer to the following diagram. It shows the CF curve based on the marks of 200 students. Okay. So, we met this one before. How many students scored at most 45 marks? At most 45. So, 45 marks. Marks is on the horizontal axis.

[00:34:57]Let's take a look. So we could go up from here straight to that point there and then reach straight across along that grid line.

[00:35:07]Right now if you zoom in here between 120 and 160 one sec.

[00:35:15]Yeah you have 40. Well the difference is 40 and you have 1 2 3 4 5 6 7 8 9 10 spaces. 40 of everything is four. So that's 124.

[00:35:29]How many score at most 40? Oh, I didn't find 45. I found 40. Wow. Okay.

[00:35:36]All right. Let's try that again.

[00:35:39]Using the correct value. So 45 will be here. Exactly half between 45 and 50.

[00:35:46]That's around there.

[00:35:50]Right. And then we're going to read read across halfway between right. So if you read halfway between that that's between 164 and 168. So that is definitely 166.

[00:36:07]One sec. Sorry.

[00:36:19]Right.

[00:36:22]So again you find 45 on the X you read up across that's exactly between the first two lines there. So 164 then 60 halfway between 164 168 is 166. All right. So the next one is the median mark scored by the 200. Okay. So the median mark. So the two All right. So again what you would do here is you would use um 200 over two.

[00:36:47]So you want the 100 mark. So exactly between 80 and 120 is 100.

[00:36:55]So we're going to read along that grid line, that major grid line there, hit there and then read down.

[00:37:10]So hold on one second.

[00:37:16]Okay, cool.

[00:37:22]I walked around the house. I didn't see her. I looked under the car. I didn't see her. But I'll check there again. But um I didn't see her first time.

[00:37:32]And then I have no idea. I don't Okay, cool.

[00:37:47]Yeah, usually I just I suspect she went up here, but I don't know.

[00:37:59]Really? I don't think so.

[00:38:03]Yeah.

[00:38:05]Oh.

[00:38:07]Oh, okay. I'll try again. But I don't know. I think so.

[00:38:15]I'll check again. I'll check again cuz I I took a glass. I just didn't see it.

[00:38:20]But okay, I'll check again. Yeah.

[00:38:27]Okay, cool.

[00:38:31]>> Yeah.

[00:38:38]Okay, cool.

[00:38:43]I should have a chance at some point.

[00:38:45]Yes.

[00:38:50]Okay.

[00:38:55]Yeah. Okay. So, see.

[00:39:02]Okay. Well, if if they don't have 37.5, the nearest value is 37. We go with that one. Okay. Are we okay with this page?

[00:39:09]>> All right. and J. Let me know if you guys okay with that one.

[00:39:13]Cool. Right. So, we're at the 40 minute 40 401 question about 40 minutes. Okay. So, that's pretty decent.

[00:39:24]In a box, there are eight red, seven blue, and six green. One marble is picked up randomly. What is the probability is neither blue nor green?

[00:39:33]If it's neither blue nor green, it could only be red. And there are eight red marbles. 8 and 7 is 15 + 6 is 21. So 8 out of 21.

[00:39:43]All right. 44. Now item 44 refers to the following two-way table which shows what?

[00:39:53]Yeah. 200 students. Okay, cool.

[00:39:58]A student is picked at random from the group. What is the probability the student is male who travel to school by taxi on that day? Male who travel to taxi on that day. Right. So 50 over 200 as a quarter, right? Let's take a look. 43, 45, and 46.

[00:40:23]Um, let's finish the stats first and before we go across to the coordinate geometry. Um, pie chart. So we have 98°, 36°, and 30%. Don't do like me and and think that's degrees, too. Yeah, that's percent. Okay. Okay. How many students play cricket? Okay. So, we have some work. So, what's the total degrees in a circle? 360. So, if you have 90 here in the 90° angle now 30% of 360, right? Knock off a zero. Knock off a 0.

[00:40:51]3 by 36 is 108.

[00:40:55]So, this is 108° here. So if we take 90 36 and 108 that's a four car one that's a three right and then that a two so 234 so if we take 360 and minus 234 that's a six that's a one so 126 so 126 over 360 by 720 And as luck would have it, 360 cancel 7 twice and 2x 126 gives us 252.

[00:41:35]All right. Uh the point where a linear function crosses the vertical axis is the y intercept. The vertical axis is the y- axis where I cross that is the yaxis.

[00:41:46]All right. So we 3/4 of the way through the paper in about yeah less than a second time. Okay. the equation of the line that crosses the vertical axis at that and has a gra. Okay, cool. So, we'll just use our lovely y = m by x + c where m is the gradient and c is the y intercept, the point on the y ais through which the line passes. That's equal to 4x + 5. So, that's c or if I'm live on YouTube. Yes, I am.

[00:42:22]Okay. Um, that's this page. Are we okay with this page, ladies and gents? Yeah.

[00:42:27]All right. Haley and Jade, look, I don't know if you guys okay with this page, right?

[00:42:33]Sorry. All right. Okay. 47 4. So, which of the following graphs are a linear function? That's option A.

[00:42:43]Right. The So, C is a quadratic, D is an inverse function, and B is just a equal to something that's not a function.

[00:42:54]Okay.

[00:42:56]All right. 48. Okay. So, the equation of the axis of symmetry is this straight. Okay. Nope. Not not that at all. Yeah. Again, this line here and that's x = two. So, that's option D.

[00:43:14]All right. That's it for this page.

[00:43:17]>> If you have any questions, let me know.

[00:43:22]Right. 49 to 50. We have a few more on this page now.

[00:43:26]All right. Um, a line L is perpendicular to this line. What is the gradient of line L? So when two lines are perpendicular, their gradients product is minus one. So if you have one gradient, you can take minus one and divide by the by that gradient to find the other one. Of course when you're dividing fraction you change divide to multiply and you invert the divisor - 7 over 3 right 50 g of x is 7 x - 3 over 5 so g of - 6 so that's 7 by - 6 then - 3 all over 5 so that's - 42 - 3 all over 5 so that's - 45 over 5 which of course is - Right? 52 the range of the function.

[00:44:17]Right? So when you cube something you multiply three instances of that item, right? And a minus by a minus is a plus.

[00:44:24]But when you multiply next minus, guess what you get? - 8. -1 cubed would also give you minus one. 0 to any power is 0.

[00:44:33]1 to any power is one. And 2 cubed is 8.

[00:44:36]So option D is the correct option here.

[00:44:40]Right. Right. Item 53 is a diagram which shows a transformation. Right? So that's just a reflection.

[00:44:47]Right? It didn't ask in in in whatever line. It just asks what is the transformation that could work. Right? So transformation. So it's a reflection like I said. So that's um option B.

[00:45:07]Right. Item 51. Right. So that one is X + 3.

[00:45:11]So + 3 is 5 + 3 is 8 + 3 is 11 + 3 is 14.

[00:45:25]In which of the following polygons does the sum of the measures of the interior angles equal the sum of the measures of the exterior? So again this is a different uh version of the same question. So the exterior is always 360.

[00:45:38]So if the interior is 360, it has to be a quadrilateral as option D.

[00:45:48]We answered all of this page. Yeah, we did. All right. In class, were you okay with this one?

[00:45:54]>> Yeah.

[00:45:54]>> All right. Hey, and let me know how we feel about that one. Oh, hey Keem. How you doing? Good afternoon, Mr. Vibes.

[00:46:01]Right.

[00:46:05]>> 55. following diagram straight line y equal to oh good so they >> what is the image of this line when it's rotated anticlockwise about zero so funny part about that is going to give you the same so they reverse it so normally they would give you the um yeah normally they start for this or we should cross y equal to All right. 56 now. Okay. So, we have diagram refers to the following, right?

[00:46:44]ABC and A prime. B A prime C prime.

[00:46:46]Okay. So, hold on one sec.

[00:46:58]>> All right. So we went from blue to orange.

[00:47:07]Okay.

[00:47:17]>> In the diagram by which the translation by which blue is mapped on to orange is put by. Okay. So we're going to the left. So we know for sure that that is definitely going to be um what should we call it?

[00:47:29]Negative movement right? So let's do the A. Right? So 1 2 3 4 5 - 5 and then we went up 1 2 3. So minus 5 and then three. That's option A, right? 57 and 58. Is it the same? I feel like it's the same people.

[00:47:52]Right. right angle triangle in the triangle above BAC is 30 the hypotenuse is 40 so AC okay so AC would be a cosine of 30 which you do have so the sign of 60 all right so this this is a nice one here we want to find the orange length how do we do that well right so relative to the angle that we have Right? That length is opposite.

[00:48:27]The 40 is opposite the hypot opposite the right angle which makes it the hypotenuse which makes this side the adjacent side. So adjacent and hypotenuse mean cosine but cosine 30.

[00:48:38]None of the options have cosine of 30 which means we have to introduce the angle to the top right hand side which would be 60°.

[00:48:48]So now this side becomes the opposite side. Um that side don't matter anymore and the hypotenuse didn't change. So right. So now sine of 60 is equal to a c over 40. So when you multiply throughout by the denominator we get 40 60.

[00:49:13]All right. Um, so we notice when the scale factor is two. How do we know that?

[00:49:22]Because let's take a look at some corresponding lengths. Right? So this length here corresponds to this length here. And there's one, two, there's two units long. The corresponding length is four units long. And that means it's 2 * 2, right? at the horizontal is one unit here with one two. So of course you have to scale up by two. The scale factor is two.

[00:49:54]You have any questions please feel free to let me know. And finally plane is flying through direction 4045 changes course 135 the angle through which the plane turns. Right. So if you turn from 45° to 135, we can just find the difference which as we know is 90°.

[00:50:20]All right. If the angle formed by the two equal if the angle P formed by two equal sides is X, what is the size of angle QR? Okay. So in an isosles triangle, right, where these two are the equal sides, this is the angle X here, right?

[00:50:39]What is the size of angle Q or angle R?

[00:50:42]Right, the sum of the interior angles of a triangle is 180. If you minus X and by two, we'll get the measure of the two equal angles down here and right. So about 50 minutes.

[00:51:02]So again, we're able to do do it that quickly because we've been through well this is the what the fifth paper today.

[00:51:08]like 2019 started with the 2020 2021 2023 right so we had to dig up some of the older papers to do as well as in like 2018 17 tomorrow we don't have any class in the morning as in no class before 11 um >> English hour and a half so about 9 to 10:30 what do you math multiple choice. I want to Yeah. Right. Yeah. So, let let's let's look at the 11:30 start time now. Like a a regular start time. Or if you all think 12 is better, you can let me know.

[00:51:52]I I'll send that thing in the chat.

[00:51:53]Right. Um Yeah. Okay. And we can get through the two papers tomorrow. Maybe even more.

[00:52:02]>> Yeah. All right. Okay. So, who's All right. So, oh, I missed a question. I missed a question. Did I?

[00:52:14]>> 59 and 60, 57 and 58, 56. I did 55.

[00:52:25]Uh, everything here seems answered.

[00:52:29]47 and 48 seem answered.

[00:52:33]42. Oh, I just didn't shave. I just didn't shave it.

[00:52:38]>> Yeah. Yeah. Right.

[00:52:43]>> Yeah. 11:30. Yeah. Tomorrow. Yeah. Um 12:30 for whom?

[00:52:48]Where are you from?

[00:52:50]If you're in Jamaica, you're all behind.

[00:52:52]That's 10 p.m. for you.

[00:53:07]see anything?

[00:53:13]>> We did that one. Okay.

[00:53:21]>> Okay. Tomorrow. All right. Let's go.

[00:53:24]Good luck tomorrow.

[00:53:27]Oh, I didn't shade. I didn't shade number three either.

[00:53:31]So there you all right cool I think we are Jamaica I think you are all behind.

[00:53:38]So that would be 10. All right. Okay and Jade if you have any questions now is a good time to ask other than that I think we're good. Yeah. Okay. So yeah. So we finishing papers in less than an hour.

[00:53:50]It's not because we're trying to speed because we've just done so bloody many papers. I mean we've we've done six January papers. We just did five May 11 papers.

[00:54:01]>> Yeah. So, I mean, I know how how many more you want to do, but definitely for sure we'll do 2024 and 2025 May. And I'll see if I could pull up 18, 17, 16.

[00:54:10]Obviously, we're not doing it all tomorrow. If we do 11:30 tomorrow, it's 11:30. So, I don't know if can we squeeze two papers in the 1:30, boy. If we start on time, yes.

[00:54:25]But then that's it. We want to do all the papers after that cuz I have a 4:00 at max and then Wednesday only Wednesday under time like actual exam conditions. You see what I mean?

[00:54:41]Thursday.

[00:54:44]>> All right. Um and later.

[00:54:50]>> All right. YouTube. I'm out. I'll see you guys um some tomorrow. Right.