Live GCSE Maths Past Paper

Added: 2026-05-12

[00:00:00]And we are live.

[00:00:06]I think we might be. Let's see. Let's see. Are we live?

[00:00:10]Who's going to be first in the chat today?

[00:00:13]Guys, a monumental day.

[00:00:21]We're live, guys. Talk to me. Talk to me. Let me know. Can you hear me? And more importantly, if you can, how was English today? We're officially underway.

[00:00:35]Hey, Gracie.

[00:00:42]Hello, Moon. Hello, Sama. Fantastic, guys. Fantastic. Fantastic. Welcome, welcome, welcome to this evening session. Don't worry, I know you have biology today. Not today, tomorrow. Um, so we're not going to be going all night. This is just a onehour session.

[00:00:59]This is a warm-up for tomorrow. We're going to take the opportunity to do a little bit of a debrief. I would like you guys to let me know how you're feeling about English, about biology tomorrow. Let me know how was English literature today. Let each other know.

[00:01:13]You can talk to each other in the chat.

[00:01:15]Um and then this evening, 1 hour of maths. We're going to be working on some past paper questions from the uh November um paper one, November 2021 paper one. Um, and then tomorrow and Wednesday we have our 4hour preparation marathons. Now I know some of you have other exams on Wednesday so you won't be joining us tomorrow. That's completely fine. But I just want to make sure Yeah, there we go. But I just want to make sure um that for those of you who don't have an exam on Wednesday, I can help as much as possible. And I thought, you know, doing a 4-hour live on Tuesday and a 4-hour live on Wednesday would be the best way to serve.

[00:02:02]Tesney asking, "What was your question?"

[00:02:05]Moon says it was guilt. And that was for McBth, I think. Anybody in the chat doing Romeo and Juliet? Tyler Wheeler says, "Is Matt on?" Yes, sir. Tyler Wheeler. Matt is on.

[00:02:19]We are live and direct.

[00:02:28]We're going to be starting the questions from this paper in just a few minutes.

[00:02:34]I want to have a quick look to see if we're up and running on Tik Tok.

[00:02:38]We should be streaming to YouTube and Tik Tok both at the moment. Let me just have a quick look. Yeah, it's looking like we're good. Fantastic. Hello to everybody watching on Tik Tok. Hello Martin.

[00:02:52]Hello Kanye East. Hello Hrix. Hello Ahmed.

[00:03:00]Hello. Hello. Hello. Guys, if you are currently watching over on the TT, consider coming over to the YT. I'm not saying that to try and, you know, sound flash. Um, I said that because I don't want to get, you know, slowed down in the algorithms and stuff. Um, but yeah, I'm going to be live on Tik Tok and YouTube all evening tomorrow night from 5:00 p.m. to 9:00 p.m. and also from 5:00 p.m. to 9:00 p.m. on Wednesday. I will be focusing primarily on the YouTube chat. I'll check in with Tik Tok every now and again, but primarily I'm going to be focusing on YouTube. So, if anybody joins on the Tik Tok and is thinking, is this pre-recorded? Nope, it's not pre-recorded. It's all live.

[00:03:37]Tonight's live, tomorrow's live, but I focus on the YouTube chat just because there's a bit of a stronger community over there. We've been going live on YouTube for longer. Um, yes, yes, yes.

[00:03:49]Let me see in the chat, guys. Did anybody Let's have a quick moment in the chat for a Christmas Carol. What was the question for A Christmas Carol today?

[00:03:56]That was the ones that I did back in the day. Christmas Carol and Romeo and Juliet.

[00:04:12]If you haven't already, of course, consider following or subscribing if you're uh listening on Tik Tok or YouTube. I'll be posting content all the way through exam season. Um if you're just discovering, if this is your first time today, welcome guys. I'm going to be with you every step of the GCSE journey. Um I know you had English today, biology tomorrow. You guys have got a jam-packed week one. My job is going to be to get you guys through your maths as pleasantly as possible. I'm not promising to make it fun to be honest. I don't think I can swear on the stream because that's also not good for the for the profile, but um math is not the funnest thing in the world for most people. I know that. Um but I'm going to make it as good as possible. Um I'm not promising to make it fun, but I will make it funner or less bad. Um, if you prefer to cut it, put it that way. So, I just need to move my stuff over so I can get my graphics tablet on here and it doesn't fall off. Beautiful. Going to write a quick test. Now, guys, we're going to get going. I may need Oh, no.

[00:05:18]The connection's sharp. That's cool.

[00:05:20]Beautiful. Um, so we're not going to be going through every question in this paper. We have a limited amount of time.

[00:05:25]You're focusing mainly on biology for tomorrow. So, I'm only going to be focusing on what I would say the most important topics are where you're going to get the most bang for your buck. The first question we're going to do everybody is question number three. I'm going to give you a little bit of time to work through the question and then I will go through how to do it.

[00:05:47]And now I'm going to turn my music down a bit just so it doesn't get picked up.

[00:05:54]And we are looking good. So, what was Christmas Carol then?

[00:06:00]What was Christmas Carol? Looking at the chat now.

[00:06:05]Can't actually see anybody putting it up. Maybe guilt.

[00:06:14]How is No, it wasn't how really is how was Christmas presented?

[00:06:18]Really? Gracie and Sid, that's mad ideas of Christmas. Guilt was McBth. Okay.

[00:06:32]Yeah, that's mad that it was that. To be honest, I can't that really surprises me. Feelings about Christmas. I bet everyone in the chat, not in the chat, everyone in the exam was just wanting to say that Christmas is good. Um, feelings of Christmas is a bit of a weird weird question to be honest. Okay team, keeping the pace pretty high today.

[00:06:50]Question number three. Let's go through this now. Now, I haven't given you long, but we're going to be working at a good pace today. Work out 4 and 1/5 minus 2 and 2/3. Give your answer as a mixed number. What we're going to do to convert or to do this subtraction is we're firstly going to convert from mixed numbers into improper fractions.

[00:07:10]Next, we're going to rewrite with a common denominator. Then, we're going to do our subtraction and we're going to convert it back. So firstly converting them into improper fractions. From a mixed number to an improper fraction, we do the main number times by the denominator. So 4 * 5 is 20. Then we add the numerator. 20 + 1 is 21.

[00:07:31]Then we have over five for our first one. Minus 2 * 3 is 6 + 2 is 8. So we have 8 over3. Oh, I'm getting a bit of lag. I'm going to have to fix that in just a second. Um, and next step. What are we going to do? Well, we need to write these over a common denominator.

[00:07:49]In order to subtract fractions, they need to be over the same thing.

[00:07:54]5 * 3 is 15. So, we can write both of these over 15.

[00:07:58]How do we get from 5 to 15? We times it by 3. So, we also times the top by 3. 21 * 3 is 63. And now for the 8 over 3, we times the bottom by 5. So, we're also going to times the top by 5. 8 * 5 is 40. Now that we have a common denominator, we can go ahead and subtract our numerators. 63 take 40 is 23. So we have 23 over 15. And 23 over 15. Now we conver can convert this.

[00:08:31]Check something. All good. Um, now we can convert this back into a mixed number. How many times does 15 go into 23? It goes in once. So it goes in once.

[00:08:42]And what's the remainder? Well, 23 is 8 bigger than 15. So, it's remainder 8 over 15. So, 1 and 8 15 is our answer to question number three.

[00:08:55]Next up, we're going to go ahead and we're going to do question number four.

[00:08:58]It's a four marker, but it picks up on quite a few skills that we're going to need for tomorrow. So, it's a good one to practice with. Guys, I'm just going to quickly run. No, I'm not going to run because I've got it here actually.

[00:09:09]That's all good. Um, and I'm going to connect my iPad to my laptop with a wire.

[00:09:17]I might lose the screen for a second, but then we should be back.

[00:09:25]Guys, a few of you were talking about poetry in the chat. Honestly, poetry when I was doing my GCSEs was the bane of my existence. That was so not fun.

[00:09:34]Like, poetry, ah, it was my least favorite thing to revise. Least favorite thing to revise, honestly. by quite far.

[00:09:40]I really didn't enjoy that.

[00:09:44]Question number four, then we have four marks up for grabs. Nice to see a few more of us on Tik Tok. 300 of us.

[00:09:54]Fantastic guys. Just so you all know, if you're watching on Tik Tok at the moment, um, tomorrow I'm going to be live from 400 p.m. Not from 400 p.m., from 5:00 p.m. until 9:00 p.m. and also on Wednesday. So, to everybody listening now, I'm also going to be live on Tuesday and Wednesday, um, from 5:00 p.m. to 9:00 p.m. helping you guys smash it ahead of Thursday.

[00:10:18]Let's get a quick ready for me in the chat when you're ready, guys, and we'll go through question number four. The maths itself is not too complicated, but it's pretty long. It's pretty long.

[00:10:37]Carmel's ready. Zayn's ready. Welcome Carmel. Good to have you. One of the group tutoring members.

[00:10:43]Hello, Cassine.

[00:10:48]Fantastic guys. I can see a few of us are putting ready in the chat. Question number four. Let's get it done. At the end of 2017, the value of tomorrow's house was 220 grand. The value of Raheem's house was 160 grand. At the end of 2019, the value of tomorrow's house had decreased by 20% and Raheem's house had increased by 30%. At the end of 2019, whose house had the greater value?

[00:11:11]You must show how you get your answer.

[00:11:13]So, this is our classic percentage change topic. What we need to do is decrease 220 by 10% and increase 160 by 30% and see which one is now bigger. So, let's have a look at tomorrow.

[00:11:27]Let's have a look at tomorrow. So, we're going to need to decrease 220,000 by 20%. The first thing I'm going to do is I'm going to find 10%. So, 10% to go from all of our number to 10% we're going to divide by 10. So, 10% is going to be 220,000 divided by 10. And this we're just going to knock a zero off the end and we get 22,000.

[00:11:55]But the nicest way to divide it by 10 is to just knock a zero off the end. Now going from 10% to 20%, well, how do we get from 10 to 20? We double it. We double it. So it's going to be 22,000.

[00:12:09]22,000 times by 2, which is going to be 44,000.

[00:12:15]You could do that in different ways. The nicest way to think about it is you double the 22 and then add the zeros on the end. Now, we need to decrease 220,000 by 44,000. Now, there's different ways we could do this. The quickest or the not the quickest, but the most foolproof way is going to be to use column subtraction. So, I'm going to do 220,000. 220 1 2 3 zeros minus 44,000.

[00:12:42]And just make sure that you line everything up correctly. The 20 and the 40 have to go in the same column. And we can just line them up from the right hand side. 0 take 0 is zero. 0 take 0 is zero. 0 take 0 is zero. 0 take four we can't do. So I cross out my two. I turn it into a one. And I borrow a one. 10 take four is six. 1 take four again we can't do. So I'm going to cross out the one. So I cross out the two, write a one. Put 11 there. 11 take four is seven. And now 1 take nothing is just one. So it's 176,000.

[00:13:19]Now, what about for Raheem?

[00:13:23]What about for Raheem?

[00:13:26]Well, Raheem's house increased by 30%.

[00:13:29]So, I'll do this one a bit quicker, but we're going to find 10% again. So, 10% is 160,000 divided by 10. Again, we knock a zero off the end. It's 16,000.

[00:13:44]Next, we're going to times this by 3 to get from 10% to 30%.

[00:13:49]So 30% is 16,000 times by 3.

[00:13:55]So it is 48,000.

[00:13:59]Now in Raheem's case, it increased by 30%. So we're going to do 160,000, which was the start amount, plus 48,000.

[00:14:11]And again, you could do this with column addition or you could do it in your head. Going to be 28,000.

[00:14:18]But let's go back to the question. It says at the end, whose house had the greater value? Well, we can see that Tamara's house was worth 176,000.

[00:14:27]Raheem's house was worth 28,000.

[00:14:30]So, Raheem's house was worth more. Good job if it made sense, guys. We're going to move now on to question number five.

[00:14:38]This is a great one to practice.

[00:14:43]ahead of Thursday.

[00:14:55]Yeah, good job, Zenith.

[00:15:05]What do we think for question five, guys?

[00:15:11]If anybody has any questions related to GCES, related to revision, related to whatever it might be, feel free to ask me in the chat. Obviously, my specialtity is maths, but I can also help you guys with all different subjects, all different exams. My journey in education was very much kind of having to self-e a lot of it because of the school I went to. Wasn't the best school in the world. Um but I did end up getting straight A stars not because I was a super genius but because I learned how to learn effectively. So if you guys have you know questions related to any different exam you can let me know in the chat and I can also um answer them there.

[00:16:04]Definitely our trickiest one yet, guys.

[00:16:16]Let's get a cheeky little ready in the chat for me.

[00:16:23]Quite a few people asking um how do I revise effectively for biology tomorrow?

[00:16:29]Given that we're now in the final stages, the best thing you can do ahead of biology tomorrow guys is to look over past papers and specifically to read the mark schemes and if you have enough energy actually do the past papers and check the mark schemes but if you don't have enough energy at this stage reading the mark schemes is the best thing you can do. Science is very particular with what you need to say is very particular but to be honest also the same you know questions come up most years. So, by reading through mark schemes at this stage along with the paper, you're going to have fresh in your mind for tomorrow um the types of things that you might need to do.

[00:17:12]S's ready.

[00:17:19]Carl's ready.

[00:17:22]Cassine is ready. Question number five, team.

[00:17:26]Let's get it done.

[00:17:29]It says Rosie, Matilda, and Ibraim collect stickers. The ratio of the number of stickers that Rosie has to Matilda to Ibrahim is 4 to 7 to 15.

[00:17:41]Ibrahim has 24 more than Matilda.

[00:17:44]Ibrahim has more than Rosie. How many more? So, basically, we're going to want to work out how many Ibrahim has, how many Rosie has, and we're going to want to find the difference. How can we do that? Well, this is a bit of a ratio problem solving question because they don't tell us how many Ibrahim has or Rosie or Matilda. They tell us the difference.

[00:18:06]Now, when we're working with ratio problems like this, we're pretty much always going to be wanting to find a way to work out the size of one part in the ratio. So, I look at this question and I think, okay, Ibrahim has 24 more than Matilda. How can I work out the size of one part? Well, if I know how many more parts Ibrahim has than Matilda and how many stickers, I can say, okay, well, this many parts is worth this many stickers, then I can use that to find one part. And then I can use that to find how many stickers each of them have. So, how many more parts does Ibrahim have than Matilda then? Well, Ibrahim is on the right. Matilda's in the middle. So, we have Ibrahim on the right here. Matilda in the middle.

[00:18:55]So we're going to do Ibrahim's number of parts 15 minus Matilda's number of parts 7. 15 takeway 7 is 8. So we now know that eight parts eight parts is 24 stickers.

[00:19:13]We can now go from this to one part.

[00:19:15]Well, how do we go from eight parts to one part? We divide by eight. So we also have to divide our number of stickers by eight. So, one part therefore is equal to three stickers.

[00:19:29]Now, working out how many each of them actually have. Well, Rosie has four parts. Rosie has four parts. So, Rosie has four times by I'll just say an R.

[00:19:40]Rosie has four times three, which is 12 stickers.

[00:19:47]Ibraim has how many parts? Ibrahim has 15 parts. So we can do 15 * 3 and 15 times by by three is 45 stickers.

[00:20:01]And now we can find the difference 45 takeway 12 that is going to be 33 our answer. So we started off by working out the size of one part of the ratio. We used that to work out the number of stickers that Matilda and Ibrahim and Rosie had or in this case just Rosie and Ibrahim and then we worked out the difference and it was 33. It was 33.

[00:20:27]Okay, next question we will do let's do question number six. Guys, I just saw that because I've done this paper before a few weeks ago. Um the answers are here. So, when I go on to the next page, you're going to have to luck away. I'm going to delete everything and then we're going to go through it. Question six, though, we will definitely do this one.

[00:20:52]This is a good little question for us to do. I need to actually find a good way to delete them all. Let me just quickly delete this one because we're going to go through that one. We're also going to go through those. I actually went through these in my group tutoring class earlier last week, I think.

[00:21:08]Okay, I'll delete those ones for now and we'll get back to it with question number six. Question number six, the plan for tomorrow evening, by the way, and for Wednesday evening, we have four hours together. We're going to be working through three higher papers in total, maybe even four papers. We're just going to do it based on timings.

[00:21:29]We're going to be probably working through the November papers. I just need to confirm which papers we're going to go through and select the questions. Um, but it's going to be a fantastic session or two fantastic sessions.

[00:21:59]What do we think, guys? Question six.

[00:22:06]Yeah, you were supposed to luck away.

[00:22:11]You definitely didn't clock the whole answer in that time.

[00:22:32]to everybody watching on the Tik Tok.

[00:22:34]Now, I'm going to have a quick look at the chat. Can you let me know, am I zoomed in enough on the paper, or would you like me to zoom in a bit more?

[00:22:41]Because maybe it would be better if the paper was a bit bigger. If that's the case, just let me know.

[00:22:55]Dylan says it's good.

[00:22:58]MS said it's mixed. Rosie said it's fine. Me said it's fine. If as many of you as possible could let me know, that would be amazing. Just because I don't know if I can set up a poll from this view.

[00:23:11]I don't think so.

[00:23:15]Most people saying it's good.

[00:23:18]Yeah.

[00:23:19]Most people are saying it's good. Okay, fantastic. Thank you everybody for letting me know.

[00:23:29]MA1 says we have bio and RE tomorrow.

[00:23:31]Can't do maths today. Guys, if you want to revise for biology, if you want to revise for RE, that is absolutely fine.

[00:23:37]Don't feel like you have to do maths.

[00:23:39]I'm just doing this because I know a lot of people were looking forward to the Monday session and I didn't want to, you know, break the break the normal routine and the rhythm. completely understand if you want to do biology. We're only going to be doing an hour today. This is the warm up for the the marathons tomorrow and on Wednesday. Um I'm also probably going to do a chill Tik Tok live later just to promote the Tuesday and Wednesday lives and let you guys know that I'm going for live for free for 4 hours on both days and we're going to we're going to get some awesome work done cuz I was a bit slow to be honest on on posting about it and letting people know what I was doing. Um, and I just want to make sure that as many people as possible know about it.

[00:24:23]Okay, what do we think for this one, guys? Are we ready? Rosemary says, "What time tomorrow for the lives?" 400 p.m. No, 5:00 p.m. until 9:00 p.m. 5:00 p.m.

[00:24:35]until 9:00 p.m.

[00:24:38]But maybe we're going to do a little midway break because I know that's exhausting for everybody involved. Okay, question number six, guys. Let's get it done. The diagram shows a prism. The cross-section of the prism is a right angle triangle. The base of the triangle has length of five. The prism has length of 25. The prism has a volume of 750.

[00:24:58]Work out the height. So, this is a classic forming and solving equations problem. Normally, we get told the dimensions like the height, the width, and the length, and we get asked to work out the volume. But this time they've told us the volume and they've told us all of the lengths apart from the height. So what we're going to do is we're going to set up an equation like we normally would to work out the volume, but we're just going to put a h in for the height and we're going to put 750 in for the volume. So I'm going to start off by labeling the height h. Now how do I work out the volume of a triangular prism like this? Well, I work out the area of the end face and then I times it by the length. Times it by the length. How do we work out the area of the end face? Well, it's a triangle. So, we have volume equals the area of the end face. Area of a triangle is a half times by base time by height and then times by we're going to call it the length. Now, in this case, we know that the volume is 750.

[00:26:03]750= a half times by we know the base is 5. The height we don't know, so we're calling it H. and we know the length is 25.

[00:26:13]Now what we have is we have an algebra problem and we need to rearrange this to work out the value of h. Now there's different ways that we could do this.

[00:26:23]The first thing that I'm going to do is I'm going to move this half over to the left hand side. And the way that I'm going to move the half over to the left hand side is I'm going to times both sides of my equation by two.

[00:26:35]tsing by two is the opposite to timesing by a half and they essentially can cancel each other out. On the left hand side, we have 750 * 2. That's 1,500.

[00:26:49]On the right hand side, the half and the * 2 cancel and we're left with 5 * h * 25. Well, 5 * 25 is 125.

[00:27:00]And then we have 125 * h. Remember, we're trying to work out the height. So now I'm going to divide both sides by 125. So I'm going to get the h on its own.

[00:27:12]1500 divided by 125 equals h. Now what we can do is we can simplify this fraction to work out the value of h.

[00:27:21]Does it say to give it in its simplest form? It doesn't actually, but it does say to work it out. So let's simplify this and see what it comes down as. Now this one is pretty tricky to simplify.

[00:27:31]The best way to do it, I'm just going to put it over to the right hand side to make my working a bit clearer.

[00:27:37]Now, the best way to do it is going to be to spot that they both divide by five on the top and the bottom. I'm going to start by dividing the top and bottom both by five.

[00:27:46]1500 divided by 5 is 300. And 125 / 5 is 25.

[00:27:53]Now I can divide the top and bottom both by five again. We get 60 over 5.

[00:27:59]Now I can divide the top and bottom both by 5 again. We get 12 over 1. 12 / 1 is just 12. So our answer is 12. Our answer is 12.

[00:28:15]And that guys is question number six.

[00:28:18]That is question number six. If you have any questions, let me know in the chat.

[00:28:24]The next one that we're going to do is we'll do question seven. Honestly, this is again a good question.

[00:28:34]Certainly not the easiest question. Good little problem solving one.

[00:28:42]Then we're going to go through question 10 after that and we'll take it from there.

[00:29:18]Omna or Arma Kiwi Kitten says, "Hi guys, have I missed anything important?" No, not at all. We're just getting going.

[00:29:25]We're just getting going. We're going to be going until half past. Maybe the only important thing that you missed is tomorrow and Wednesday, I'm going to be live from 5:00 p.m. until 9:00 p.m.

[00:29:35]putting in final preparations. We're going to be doing higher revision specifically.

[00:29:40]So everybody who's doing higher, this is going to be perfect for you.

[00:29:48]Question seven.

[00:29:51]VIR says, "Can I have a hint, please? I have no idea where to start." My hint for this one is going to be that we're going to need to find the surface area of the cube in terms of x and we're going to set it equal to the surface area of the sphere. Now the surface area of the cube.

[00:30:13]Each of the side lengths of the cube are x because all of the side lengths of a cube are the same. This is x, this is x, and this is x. In order to work out the surface area, well, we work out the size of one of the faces, which is going to be x times by x, so x^2. And because there are six of them, the total surface area, total surface area is going to be 6x^2.

[00:30:40]Now, for the surface area of the sphere, we know that the surface area is 4 pi r 2. So, the surface area equals 4* pi. And in this case the radius which you can actually see on the diagram the distance from the center to the um outside of the sphere is three.

[00:31:01]4 *<unk> * 3 2 which we can simplify. 3 ^ 2 is 9 * 4 is 36. So we have 36 pi.

[00:31:10]And that guys is all I'm going to say for now.

[00:31:13]That's all I'm going to say for now.

[00:31:18]Tesany says, "Gang, I just saw there's a biology live now and I'm conflicted."

[00:31:22]Hey guys, if you want to go and revise biology, that is absolutely a fine thing to do. We're going to be here tomorrow night and we're going to be here Wednesday night doing maths. We are only going to be going for another half an hour here. So, if that affects your opinion, um, then, you know, maybe you want to stick around a bit longer. But, if you guys want to go revise biology, 100% go revise biology. There's no right and no wrong. The thing about GCSEs is it is all down to your personal experience. If you are prioritizing maths more and you want to do the math stream today, that's what you want to do. If you're prioritizing biology more and you think you would benefit more from doing the biology live, go do the biology live. Guys, if anybody tells you that you have to revise a certain topic on a certain day, it's rubbish. You need to do what you need to do to get the best grades you can.

[00:32:15]Tesnney said on YouTube it's a guy called Flash Revision Lab. Hey, I'm friends with him. He's pretty good. If you do go if you do go say my GCSE math sent me. If you do go to to Nin's live, just hop over and say my GCSE math sent me.

[00:32:31]Um, okay. Let's get it done then, guys.

[00:32:33]Show that X is equal to root KPI where K is an integer. How are we going to do it? Well, we said that we need to set the surface area of the cube, which is 6x^2 6 x^2 equal to the surface area of the sphere, which is 36<unk>i. And then we're going to make x the subject. We're going to get it on its own. So, step number one to get the x on its own. Well, it's being times by six and it's being squared. We start with the thing which is furthest away from the x.

[00:33:04]So, we start by dividing both sides by six. we're going to get x^2 is equal to 6 pi. Next, to get the x on its own, it's being squared. So, we're going to square root both sides. And we get x =<unk> 6 pi.

[00:33:22]And that is our that is our answer.

[00:33:28]Okay.

[00:33:29]Any questions for that one? Let me know in the chat guys. Otherwise, our next one. Honestly, these qu question eight is worth doing and then maybe we'll move on to question 10.

[00:33:43]No, let's just keep going through. We'll do eight, we'll do nine, we'll do 10.

[00:33:56]Pez said, "Guys, I'm going to be here on Wednesday or even Tuesday. See you later, people." Adios. I'll actually put the link to Nin's uh I'll put the link to means live in the chat. So if you guys want the biology live, you can join it.

[00:34:17]You go guys, that should be the link to the live, right?

[00:34:35]What? Maybe you can just join and say my GCSE math sent me.

[00:34:43]Yeah, exactly. You heard the base 44 ad.

[00:34:46]Question eight. Let's do it, guys. Solve x^2 = 5x + 24.

[00:34:53]How are we going to do this? Well, what type of equation do we have here? We have a quadratic equation. As soon as we see this x squ, we're thinking, okay, it's probably going to be quadratic. In fact, we see an x squ, a 5x, and a 24.

[00:35:10]So, it's definitely quadratic. How do we solve a quadratic? Step number one, we have to get everything onto one side.

[00:35:18]And ideally, we want everything on the one side so that the x squ is positive.

[00:35:23]So, I'm going to move the 5x and I'm going to move the 24. So, I'm going to min - 5x from both sides. x^2 - 5x. I'm going to minus 24 from both sides. Minus 24 equals zero.

[00:35:37]Next step, well, we need to either factoriize this or use the quadratic formula or use completing the square.

[00:35:49]In this case, what are we going to do?

[00:35:51]Well, the best thing to do is to always start off by trying to factoriize and then only use the quadratic formula if you can't factoriize. How do we factoriize a quadratic? Well, we look for two numbers which times to make the number on the end and add to make the number in the middle. Two numbers which times to make minus4 and add to make -5.

[00:36:12]Well, if we take -8 and 3, -8 * 3 is -4 and - 8 + 3 is -5. So we're going to get x - 8 * by x + 3 is equal to zero.

[00:36:35]Now the final stage now that we have our brackets is we look at the numbers in the brackets and we reverse the sign. So because this is a minus 8 we make it positive. So it's going to be 8. And because this is so x equals 8. Because this is a plus three, it's going to be negative. So we get x= -3.

[00:36:58]x= minus 3. So step number one, we rearrange it to make it equal zero. Step number two, factoriize two numbers which times to make the number on the end add to make the number in the middle. We write it in brackets. Final stage, we reverse the signs on those brackets. So we get instead of minus 8 + 8 and instead of minus3 + 3.

[00:37:20]Okay. Question number nine. Let's put our answers to this one quickly in the chat for me, guys.

[00:37:28]Mary says, "I just went to the bio live.

[00:37:32]Need to turn the my sound off so you don't get the base 44 ad." Whoa, he's got 900 people on there. Fantastic.

[00:37:42]I can't see anybody saying my GCSE math sent me. Maybe I'm a bit late. Oh, I've seen a couple. Mary said it. Fantastic, Mary. Guys, question 9A. What's the answer?

[00:37:53]Good work, Drew. Good work, Sid.

[00:37:57]Yeah, fantastic, guys. Any number to the power of zero, absolutely essential knowledge for paper one. Any number to the power of zero is one. So 7 to the power of zero is one. Likewise, if it did say x to the power of zero, that would also be one.

[00:38:17]Okay, part B. Find the value of 3 * 3 6 * 3 - 6 3 6 * 3 - 6. Well, 6 - well sorry because we have a base or the same base to a power and we're tsing them by each other we have to add the powers. So in this case 3 is the same as 3 ^ of 1. So we have 3 ^ of 1 * 3 ^ of 6 * 3 ^ of - 6 1 + 6 is 7 + - 6. So 7 - 6 is 1. So it's 3 to the^ of 1 and 3 to the^ of 1 is just 3. Any number to the power of 1 is itself.

[00:39:05]Okay. Part C. Find the value of 2 to the^ of -4. Answers in the chat for me guys.

[00:39:16]3 to the power of sorry 2 to the^ of -4.

[00:39:20]What do you reckon?

[00:39:37]Whoa. Okay. The first three answers in the chat there guys were all different answers.

[00:39:42]First three answers were all different answers. How do we do this? In fact, how do we deal with negative powers in general? Well, whenever we have a negative power, we have to do one over.

[00:39:54]So 2 to the^ of -4 becomes 1 over 1 over 2 ^ of 4. Now 2 ^ of 4 is 2 * 2 * 2 * 2. 2 * 2 is 4 * 2 is 8 * 2 is 16. So we get 1 / 16. A really common mistake is to write minus 16. But a negative power doesn't make the answer negative.

[00:40:24]A negative power makes it one over what it would have been.

[00:40:30]Yeah. Coml said that minus trips me up a lot. It defin it trips a lot of people up that minus in the exam. Okay, part D.

[00:40:37]Find the value of 27 to the power of 1 over3. How do we deal with a fractional power, guys? The way that we deal with a fractional power is we do the root of the number on the bottom and then we raise it to the power of the number on the top. So in this case, 27 to the 1 over3 would be the cub root of 27 because there's a three on the bottom of the fraction. And then because there's a one on the top, we raise it to the power of one. Now any number to the power of one is itself.

[00:41:12]So that bracket power one doesn't actually make a difference. The cube root of 27 is what number do we times by itself and then times by itself again to get 27? Well, 3 * 3 is 9 * 3 is 27. So, the cube root of 27 is 3. Question number 10. Up next, we're going to do this one. Any questions?

[00:41:34]Absolutely. Let me know in the chat.

[00:41:40]For that last one, I'm going to say, guys, for this one, read it very carefully for me. Read it very carefully for me.

[00:41:47]I just noticed, guys, I got something on my chin. I've been eating too much chocolate. I think we got a chocolate stain.

[00:42:05]Sid says, "I'm going to try and come into the live tomorrow. I'm actually enjoying this." Hey, fantastic, Sid. For anybody who's new, guys, I also do do group tutoring. So, you can have a look on my website, mygcsmaths.com.

[00:42:16]I'll definitely mention it tomorrow. Oh, actually I'm going to ask you all for a favor at the end of today's session. I know most of you probably don't have Facebook. Um, but I just released a Facebook page, so it doesn't have any reviews. And I'm going to ask you to quickly drop a cheeky little review on there for me. If I can just find the link.

[00:42:39]Um, maybe that will do the job. I don't know if it's easy to see on there. I'll just drop it in the chat. Um, maybe I'll do it in a few minutes.

[00:42:57]There you go. There's the link. Have we read it? Have we read it?

[00:43:03]Can't see any answers in the chat. Okay, Zade's in there with an answer.

[00:43:08]There you go, Rosemary. Good work. Round 5,46. So, it's easier to estimate. Guys, if you take one thing away from today's live, this is it. It is very likely on Thursday that they give you a question which asks you to estimate, but they hide it. They've been doing this a lot in recent years. They've been doing this a lot in recent years. They've been hiding.

[00:43:32]Let me just pin that Facebook message.

[00:43:34]But they've been hiding the fact that you have to estimate it. Now, when we're in the world of estimating, we're in the world of rounding. They've been doing it a lot in recent years. See how it doesn't say estimate the length.

[00:43:48]It says find an estimate for the length.

[00:43:52]Because they've written it in this way, it's easy to miss it. It's easy to not see the fact that they're asking you to estimate it. So, I'm really want to emphasize, guys, um they're going to ask you an estimating question. When you see that, you know that you're going to have to round. It's not guaranteed that you get an estimating question, but it is pretty likely. It is pretty likely.

[00:44:17]Okay, question number 10, team. Let's get it done. Estimating. The diagram shows a shape made from six identical squares. The total area of the shape is 5,46.

[00:44:29]Find an estimate for the total length of one side of each of the squares. Give your answer correct to the nearest whole number. How are we going to do this?

[00:44:38]Well, we've been told the total area of the shape. The first thing I'm thinking is, well, because all six of these are identical to go from the total area to the area of one of them, I can divide by the number of numbers that I have.

[00:44:54]5,46 is not the easiest number to divide by six. So, instead, we're going to round this 5,46 to 5,400.

[00:45:06]And that is just going to make our life a little bit easier, a little bit nicer to work with. So we can start off by doing 5,400 / 6. Now the thing that I spot doing this division is 5,400 is like 54 but with two extra zeros. So we can do 54 / 6. That would be 9. And then we can add two zeros on the end. Next step. Now that I have the area of the square or one of the squares, how do I go from the area of the square to one of the side lengths? Well, we already said from the earlier question that to work out the area of the square, we basically square the side length because they're both the same. So to go from the area to one of the side lengths, we can square root our number.

[00:45:54]We do the opposite to squaring it. So I'm going to do the square root of 900.

[00:45:58]Now, this is not the easiest thing, but I see the square root of nine at the front. So, I get my three. And then I'm just going to try 30. It's not going to be 300 cuz 300 * 300 is going to be way too big. Is it going to be 30? Well, 30 * 30. 3 * 3 is 9. Add on the two zeros, it's 900. So there through kind of a bit of trial and error to be honest um and a bit of logic we can go from 900 or roo<unk> 900 to 30. Technically the best way to do this mathematically is to go from roo<unk> 900 to<unk> 9 *<unk> 100 which is 3 * 10 which is 30. But either way you end up with the same answer.

[00:46:45]Okay. So, that is going to be our answer to part A, part B. Is your answer an overestimate or an underestimate?

[00:46:51]What do we think, guys? Let me know in the chat.

[00:46:56]Tesany said, "So, I'm back. I'll just do a bio paper later."

[00:47:02]Yeah, I'm uh I'm appreciative, guys. You got to do you got to do what's best for you tonight and all the way through GCSEs.

[00:47:12]What do we think? Mr. Loin says it's an underestimate. Rosemary says, "Overestimate."

[00:47:20]Amazing person says, "Why is he picking his nose? I got a bit of hay fever, guys, so I'm itching a bit."

[00:47:27]Mary says, "Bio was easy. Mats is hard."

[00:47:29]I know a lot of people feel that way as well. Yeah. So, what is it, guys? It is an underestimate. It's an underestimate.

[00:47:36]Why is it an underestimate? Well, we assumed that the area was smaller than it actually was. The area is 5,46 in total. We said it was 5,400. Now, a smaller area is going to lead to smaller side lengths for each of our squares.

[00:47:53]So, our answer was an under an under estimate. Okay, next question. Um guys, we don't have too long left. We have about um 15 minutes or 10 minutes even maybe 15. Um, would you like to keep going with these questions at the start or would you like to skip forward to one of the later questions? If you want, we could just go right to the last question in the paper.

[00:48:20]I can do that with you guys. Last question of the paper. Or do you want to do this one? Or maybe we can do both.

[00:48:26]Maybe we can do both.

[00:48:29]Okay, most people are saying last. Yeah.

[00:48:30]Okay, let's go to the last question. I think it's going to have working out on it from when I did the paper a few weeks ago. No, it doesn't. Perfect, guys.

[00:48:39]Question 22.

[00:48:41]Let's get it done. Now, tomorrow um and Thursday when we do the sessions, we're going to be doing a mixture of all different questions, but we're definitely going to be doing some of the harder questions um because it's going to get us the most ready. We're going to be focusing, to be honest, on like grade six, seven, eight questions mainly, some grade nine questions. Um, and I'm going to make an announcement tomorrow, um, with which papers we're going to do and everything. So, if you want to print them off in advance, you can do.

[00:49:15]You guys are going to be thinking, "Oh, maybe I've bitten off a bit more than I can chew with this one."

[00:49:25]Amazing person says, "Guys, I'm actually an imposter. I'm in year 12. I'm procrastinating revising for my own exam.

[00:49:33]Arma says, "Sir, tomorrow is foundational when Arma, honestly, I'm not going to be doing foundation papers.

[00:49:39]I'm not going to be doing a foundation revision session."

[00:49:42]Um, just because most of the people who have been coming regularly to the Monday lives have been higher students. So, most students kind of don't come and therefore I think if I do foundation revision tomorrow and also on Thursday, not that many people are going to show up. Um, so that's why I'm sticking with higher. But the first few questions from the higher paper are also in the foundation paper, the overlap portion.

[00:50:08]And especially if you're aiming for a grade five, you want to be getting those ones. So you could tune in tomorrow for the foundation parts of the higher papers. And I'll make sure that I make it clear which ones are higher, which ones are foundation, and all of that stuff.

[00:50:27]Okay. Can you guys drop quick ready in the chat for me when you're ready for this?

[00:50:38]Few people putting answers in the chat.

[00:50:40]I see.

[00:50:51]Yeah, Haron's ready.

[00:50:58]Absolutely, Cruzo. I will be doing that.

[00:51:01]Question 22. This one's tough, guys.

[00:51:04]This one's a grade nine question for sure.

[00:51:08]But a lot of you, if you're aiming for a grade seven or a grade eight, you'll also be able to do this after I've gone through it. So, lock in for me. Focus.

[00:51:16]I'm going to describe this one in a lot of clarity. And if you have any questions afterwards, I'll answer them in the chat as well. or I'll answer them uh in the in the um in what I say.

[00:51:27]Question 22. Find the coordinates of the turning point on the curve with equation y = 9 + 18x - 3x^2. You must show all of your working. Now, a couple different difficult parts of this. We need to work out the turning point. And we've been given a quadratic. We have an x squar term, an x term, and a constant.

[00:51:48]To work out the turning point, we complete the square. But the tough thing here is that we don't have the x squ at the front. That's one weird thing.

[00:51:57]Second weird thing, the x squ is negative. So that's weird. Third weird thing, there's a three in front of the x squ. So all of those things make the question a little bit annoying. Step number one, I'm going to move my x squ term to the front. I'm going to put my constant on the end. So I essentially have y = -3 x^2 + 18 x + 9. So all I did there was put this one at the front and put this one at the end. Why did I do that? Just to make it look a little bit more familiar to um or to us based on the completing the square we've seen before.

[00:52:37]Next step, I am going to factoriize out my -3 from all of my terms. So, I'm going to write down a big bracket and I'm going to write down a -3 on the front. Now, that you're going to see what this does. This gives us x^2 because -3 * x^2 is -3x^ 2 - 6x because -3 * - 6x is pos 18x - 3 because -3 * -3 is 9.

[00:53:07]Now I have a normal quadratic inside of these big brackets. So I can complete the square for this quadratic as I normally would and then I can deal with the minus3 after. So I write out my y equals my minus3 and my big brackets.

[00:53:25]Now I complete the square inside. How do I complete the square? I write down a pair of brackets and x at the front. I look at the number next to the x in the quadratic minus 6. I have it. I get minus 3. Close my bracket. Square my bracket. Minus this number squared. - 3 squ is 9. So - 9. Then my minus 3 here.

[00:53:48]That's just normal completing the square. If you're not sure how I did this bit, uh, make sure to revise completing the square. Maybe you could watch your first class maths video or something. Next step. Y = -3 *, and I'm just going to collect my like terms here. - 9 - 3 is -12. So, x - 3^ 2 - 9 - 3 that is going to be -12. Close my brackets. Now, final step to simplify this, I'm going to reexpand the big brackets. Now, inside the big brackets, I have this term, the x - 3^ 2, and this term, the -12. So, I'm going to do the minus3 times by this big bracket. So I'm going to write y = -3 * by the bracket and then I'm going to do -3 * -12 that's going to be pos 36.

[00:54:41]Now that I've completed the square I can go ahead and read my turning point from the completed the square form. The x coordinate of the turning point is going to be the negative of the number inside the brackets. Minus 3 is going to become positive 3. And for the ycoordinate of the turning point, I take the number on the end and I keep the sign the same. So I get 336.

[00:55:06]And that is my coordinate.

[00:55:09]Guys, fantastic job. If you got it, if you didn't get it and you have any questions, let me know in the chat.

[00:55:20]and I can answer them for you.

[00:55:27]You know what, guys? I think we're going to call it a day there because we have the 4hour stream tomorrow. We also have the 4hour stream on Wednesday. Um, we're going to keep it short and sharp tonight. I know you have biology tomorrow. I don't want to take your whole evening. Before you go guys, I would like to ask for a huge favor and that is it would really really help me out if you could leave a quick Facebook review. I've pinned the link in the chat. I'll also drop it a few more times in the chat. Now, I know some of you won't have Facebook, but if you could just hop on there and leave a really quick review if this session helped you or in advance just to say thank you for the free marathons over the next couple of days, I would uh I would really appreciate that. And if you could take like, you know, three or four minutes just to write a nice message about how the live streams help you and the videos help and about my teaching and and if it's helpful, guys, I'd really appreciate it. It would help me a lot.

[00:56:22]I might be able to see in real time as you leave them.

[00:56:28]Um, but even if you don't want to write a message, you should hopefully be able to just go on there and leave a quick fivestar review. And uh, that would also be really, really helpful. Really helpful. Um, even if you don't have time to write a fantas uh write a message.

[00:56:42]Um, I haven't been putting I haven't put the link on Tik Tok. I just saw somebody ask for it. I'm just going to put it in the chat now. I don't know if I can. Um, yeah, I've just put it a few times. I don't think you can click it in the Tik Tok chat, so it might be easier to come over to the YouTube first. Ah, thank you, Cruso. I mean, there's 50 people listening now. If all 50 of you left a quick review, it would honestly really, really help me. So, if you could, I would really appreciate it. Now, I know you want to revise for biology tomorrow, so I'm not going to stick around for too much longer. I don't want you to uh to get sick of me, and I know that you might do given the fact that we're going to spend 8 hours together over the next 48 hours. So, I'm just going to hold off for now.

[00:57:31]I'm going to let you revise for science and then I'm going to be here tomorrow evening for you 5:00 p.m. to 9:00 p.m.

[00:57:38]Wednesday and Thursday.

[00:57:44]Okay, good question. Arma says, "Sir, I wanted to ask if the playlist with all the topics on your website are really all the topics we need to learn. They are sorted by grade, but I'm not sure if they are the only topics I need." Great question, Arma. Every single topic in the course is covered on my website mygcsmaths.com.

[00:58:02]So I've built a, you know, revision platform. You can track progress. I don't talk about it too much because I'm still building it, but the videos are for every single topic in the course. So there's 400 videos on there and that covers every single topic and they're organized by grade.

[00:58:22]Gracie says, "Okay, I will leave the review after this." Thank you. Thank you. Mr. Loin says 4 hours. Oh no, 4° in the morning. Yeah, very cold, eh? Very cold. Let's see if anybody left a review yet. Maybe they take a while to come up.

[00:58:39]Okay, I can't see any on their Facebook yet.

[00:58:42]Um, but guys, yeah, if you do have a Facebook account, I'd really appreciate it. I'd really appreciate it. Thank you, Zenith Visuals. I really appreciate it.

[00:58:56]Okay, you know what guys?

[00:59:03]Sama says I'll try to leave review leave a review later. Sama says on Facebook or Trustpilot. I'm trying to kind of build the reviews across Facebook touch Facebook trust pilot and Google. We have a lot of Google ones. We have quite a few Trustpilot ones. Now the next step is Facebook. Um so yeah. Okay guys, time for me to say goodbye. I will see you tomorrow evening, 5:00 p. p.m. Don't be late. We're going to have a fantastic revision session, four hours together.

[00:59:30]It's going to be absolutely marvelous.

[00:59:32]And then we're going to be back on Wednesday for our final preparations. Of course, good luck for biology. If you need me between now and then, you can send me a DM on Tik Tok or you can drop a comment on YouTube.

[00:59:44]Um, otherwise, time for me to say goodbye, Gracie.

[00:59:50]Tesany says we'd be colonizing reviews.

[00:59:56]Yeah, Mary says goodbye. Gracie says goodbye.

[01:00:00]Yeah, Mary, we're not going to spin the wheel today because this this week is exam focus and the live academy or the group tutoring is also not running this week um because we have the extra sessions ahead of the exam. So, I I didn't want to mention it today. Um Cruzo, thank you. Um, but we're going to be back spinning the wheel next Monday.

[01:00:20]Um, maybe we'll spin the wheel.

[01:00:24]Maybe we'll spin the wheel tomorrow. I'm not sure yet.

[01:00:29]Arma says, "Adios.

[01:00:32]Goodbye, Mary. Goodbye, Cruiser.

[01:00:33]Goodbye, Sama." Oh, yeah. Guys, actually, before we go, lightning bolts in the chat. Sorry. Sorry, guys. Party emojis in the chat for another good revision session. That's my bad. I should have said that. Emojis in the chat. emojis in the chat just to appreciate number one that our first GCSE is down English today. But a second one just to appreciate the hard work that we're putting in and the progress that we are making. S's got the lightning in the chat. Ray's got the fire emojis.

[01:01:05]Carmel with the lightning. Cruiser with the party says salam inshallah. Salam inshallah. Mr. Loyand in there celebrating. Tesney says business was today as well. Well done, Tesnney.

[01:01:20]Carmel celebrating. Whoa, that is so cool. Carmel says, "Don't forget to drink water, guys." Great advice, E-Ray. Yeah, fantastic. Fantastic. Okay, guys. Time to say goodbye. Adios. Advichi. Chowo.

[01:01:38]Chowo. Chiao. I will see you tomorrow evening, 5:00 PM. Good luck in bio tomorrow. Bye for now.