 What is up guys Karma Medic here and today we're going to be doing the final section of the UCAT exam that I haven't covered yet which is quantitative reasoning. I've left it till the end because I personally think it's probably one of the more difficult sections and it's one I've been putting off the most but if you haven't seen my videos on the other sections of the UCAT, situation making, situational judgment, abstract reasoning and verbal reasoning, I've done videos on those this year and also last year. I'll leave a link in the description to a playlist that contains all of those videos if you want to see more. Now if you guys are looking for tips specific to the quantitative reasoning section, I would direct you to the video that I posted last year and there I go into detail about all the tips that I think are really important for quantitative reasoning but this year I just want to recap on a couple that I think are the most important. So first things first, becoming familiar with the on-screen calculator is very, very key. The ability to use that quickly and efficiently is going to be very important to not waste time and there is a little bit of a learning curve getting used to using it so I would make sure that you always practice with the on-screen calculator and figure out how to use it quickly. The second thing I would say is improving your mental maths is also very important. There is going to be a lot of calculations that you can do quickly in your head and if you have to use a calculator to do that it's going to waste a lot of time. So being able to improve your mental maths that you have most of your multiplications or divisions down and you can at least guess an approximation of a number in your head is going to go a very long way. And then finally there's a list of equations that you should just know off by heart so that if you see a question where you're going to have to use them you already know that equation and you can quickly just write it down. You don't have to waste time thinking about it and you can actually get the mark for that question by using that equation. Okay and then one more tip which I actually think is probably the most important one is that you learn to triage the questions that either you are not good at personally so for example I knew that tax related questions or questions involving many different time zones I just wasn't naturally good at or questions that you know are going to take you a long time to answer. So sometimes I would read a question in quantitative reasoning and I would know just from reading it that this is a four step question or a five step question. And if I recognize that from the beginning then that's a question that I would just guess and move on and come back to later because I don't want to invest all that time doing five steps just for one mark. When there's probably a bunch of questions after that that are going to be worth one mark as well but probably a lot easier and I'd also like to say a big thank you to Medify for partnering with me on these videos. They are the online UCAT question bank that I've been using for all of last year and for this year in order to make these UCAT videos for you guys. They're just a really good resource that a lot of you have told me has helped you very much and so if you want to learn more about it or check it out for yourself there will be links in the description down below. You guys can click on those and check out Medify. Alright so let's jump onto my computer so we can start doing some questions. So how many of the studied states spend more than 13.6 million USD on education? So state, state, states I only see states here and percentage of budget and percentage of social sector budget spent by each state on education. We know that the social sector budget is 18 million and we want to know how many spent more than 13.6 million. So we want to know what 13.6 million is as a percentage of 18. 13.6 divided by 18 so that is 17%. So if these states here spent more than 17% of the social sector budget on education then we'll add them to the list for this answer. Okay so we know that 13.6 million is 17% of 80 million and so here 17% is here so only Alabama spent more so just one state. What is the range value of USD spent on education by the states shown? So the range is the highest minus the lowest. So let's take the lowest first, California spent 8% of 80 million so let's find out what that is really quick. So 0.08 times 80 million. So they spent 6.4 million and the highest one Alabama spent 21% so 80 times 21% which is 0.21 is 16.8 so 16.8 minus 6.4 will give us the range which is 10.4 million USD. If Idaho spends this, Texas spends that, Tennessee spends that, California spends that on the environment. How much does Alabama spend in millions of USD on the environment? Okay how are we going to figure that out? Oh so here's the mean number of dollars spent by the states so the average on the environment is 13.6 so 9.1 plus 5.6 plus 17.8 plus 11.7 plus Alabama divided by 1, 2, 3, 4, 5 is equal to the average which it gives us up here for the environment was 13.6. So first we're going to do 5 times 13.6 to find the total 5 times 13.6 is equal to 68 then we do 68 minus all those things. So 68 minus the numbers that we have here so 9.1 minus 5.6 minus 17.8 minus 11.7. So that's 23.8 left for Alabama to spend. Next, the mean number of dollars spent by the states on crime increases at a rate of 6% each year. What would the mean expenditure by the states be in four years time? Okay so there is an equation for this similar to like compound interest but I don't remember that equation but since it's only four years I can do the four calculations and I should be okay it shouldn't take me too much time. Mean number of dollars on crime is 1.4 so now we need to see a 6% increase each time. So 1.4 times a 6% increase so let's find out what 6% of that is so it's this plus 1.4 so this is how much it would be after one year so I'm going to write that down real quick 1.484. Okay now this for the next year is 0.06 is that plus 1.484 it will be 1.57 after two years and now we're going to repeat this again two more times. So but yeah I would definitely look up that equation so you guys know it it'll save you a lot of time. So this is our answer 176746 so 17640 no it's this 1.7. Look at how similar those two are that is very very cheeky. So yeah guys really it's so important to have a list of those equations memorized I have them in my video on the UK cat 99% okay so we got everything right which is great. I have those equations written down in my UCAT 99% video those are equations that you should just really know off by heart and it'll save you a lot of time when doing questions. In the UK 50 million people are employed how many people work in tertiary and quaternary job so let's find the UK UK tertiary and quaternary so the total percentage of tertiary and quaternary is 61.4 plus 8.9 so 70.3 percent of 50 million so 50 million times 0.703 is 35.15 boom next question the tertiary employment sector of Brazil consists of approximately 80 million people whereas Brazil the tertiary did they say yeah okay what is the total employed population of Brazil sets everyone together so tertiary is 52 percent which is 80 million so if that's 52 percent then the total must be very close to 160 million okay so we know right off the one of these two answers so let's do the calculation real quick so something so the total times 52 percent which is 0.52 is equal to 18 so 80 divided by 0.52 we'll give us this answer 153.84 0.846 so it's actually 0.85 if you're out to two decimal places okay there's approximately 30 million people working in Nepal how many more people work in the primary job sector than this secondary job sector so 30 million people total from Nepal and it says how many more in primary than in secondary so primary is 80 percent so 80 percent of 30 million is what 30 times 0.8 is 24 and which one was not for our forgotten that was for primary and secondary is 16.5 so 30 times 0.165 is 4.95 so 24 minus 4.95 will give us the difference in how many more working one over the other 19.05 million the population of the USA is approximately 330 78 percent of which is employed how many people work the secondary job sector 330 million is the total population of which 78 percent are employed so 0.78 so 257.4 million is what makes up all of these percentages here of the 257.4 million how many work in the secondary job sector 23 percent so this times 0.23 59.202 okay so real quick i want to say about the quantitative reasoning section on the UCAT exam it is very very heavily reliant on ratios percentages fractions decimal places things like that those are the topics that sort of come up almost every single time for every single question so those are things that you want to make sure that you practice very hard and you sort of understand them very well so that you can intuitively apply what it is that you know to each of the questions that you see so here's a question that i've just read and i can see that it's going to involve ratios from this over here it's going to involve some equations over here that might take me a long time to type into this calculator and then i read the first question and it's talking about 0.6 of the area of the meeting body when considering two-dimensional blah blah blah basically i read this question and right now i've determined that i think for me personally this type of question is going to take me a much longer time to answer than other types of questions would that are probably coming up in my test so as a result of that i want to skip this question i want to guess the answers and i want to come back to it in the end because i know that i'm going to take a long time to answer these questions and because the UCAT is such a time sensitive exam you want to make sure that you do all the questions that you can do first the ones that you can get all the marks on first and then come back to these harder questions that are going to take a long time all right let's move on to the next question um how many more calories should a 24-year-old woman in her third trimester be consuming than a 16-year-old woman in her first trimester okay okay okay so let's see what this table is actually about nutritional requirements for women so that's in this category here 24-year-old woman in her third trimester plus 450 for a third trimester so that's 2850 total and for a 16-year-old woman in her first trimester so that's 16-year-old here plus 10 for first trimester so 2310 so the difference between 2850 and 2310 is 540 all right so that's the answer to the first question what is the percentage increase in magnesium required for a 36-year-old pregnant woman compared to before she was pregnant okay so there is an equation for this that you guys should all know and that you should all memorize and i'm going to tell you it right now it always comes up on ucat tests this equation says that the percentage change is equal to the difference over the original and i'll explain what that means using this question but the percentage change either increase or decrease is equal to the difference over the original so here let's find out what the difference is and what the original was that we can find the percentage increase so 36-year-old pregnant woman compared to before she was pregnant for magnesium so 36-year-old pregnant woman for magnesium so 380 when she's pregnant 310 when she's not pregnant so 310 is the original and 380 is the new and the difference is 70 so 70 over the original of 310 will give us the percentage increase 22.6 percent or 22.58 next so what is the average increase in requirement for vitamin a vitamin c thiamine and riboflavin for a pregnant 30-year-old woman from when she was not pregnant so the increase in milligrams from vitamin a to vitamin a is from 700 to 770 which is 0.7 milligrams okay so that's the vitamin a increase for vitamin c the increase is from 75 to 85 which is 10 milligram increase for thiamine it's a 0.4 and for riboflavin it is a 0.4 so the average of these four numbers is 10.8 plus 0.7 so 11.5 divided by four is 2.875 is the average increase no what yeah this is 0.07 so i take that back so 10.8 plus 0.07 divided by four 2.715 so that's 2.72 all right so there they tried to trick us with the conversions so yeah definitely read the question properly because the ucat honestly tries to trick you at every possible way that it can so yeah make sure you're careful when reading the question all right next question if 278 people pass their driving test in autumn what percentage failed so past percentage autumn we don't know okay 278 people passed their driving test in autumn okay what percentage failed so 514 minus 278 oops 514 minus 514 minus 278 will give us the number of people who failed and 236 as a percentage of the total 514 is 45.9 percent so 46 percent so that's the fail percentage how many people pass their driving test in the first two seasons winter and spring okay so easy again two percentage calculations to do 498 times 0.72 is 358.56 we obviously can't have 0.56 of a person that i do that right 498 times 0.72 yeah so 358.56 plus 654 times 0.43 281.22 so this plus the previous number 358.56 639.78 and since we can't have 0.78 of a person or can we i'm gonna round up guess we can have 0.70 of a person generally you can't but this is the answer that i arrived at which is very close to this i'm not close to anything else here so i'm gonna stick with it in the autumn there was a past percentage of 69 which season had the greatest number of passes so this is an easy question that we know how to do we're guaranteed to get the answer right if we go through with calculating the question but it's good to know that this is going to take me four calculations to find so this is going to take me four steps and this is going to be one of the longer questions to answer but since it's easy and i know i can get the mark for sure i'm still gonna do it but it's just good for you guys to start recognizing which questions will take longer or which questions will take a shorter period of time just by reading them very quickly 514 times 0.69 so three five four 0.66 and then we already did two from the previous question right how many of us are in tests in the first two seasons so we already did the first two so now we just need to do summer so 711 times 41 percent is 291.51 and now i'm gonna add all those numbers together oh no which season had the greatest number of passes hmm so that would be the very first one winter boom next if 417 people passed in autumn what's the overall pass rate for the test center rounded to the nearest percentage 417 passed in autumn so 417 out of 514 gives a pass percentage of 81.1 so the overall pass rate for the test center oh interesting so we need to add up the number from each of these but we've already done these three in a previous question so 417 people plus how many people was in summer which we said was 295 291.51 i believe 291.51 plus how many was in spring and how many was in winter so 281.22 plus 358.56 so this is the total number of people who passed and let's see the total number of driving of attempted driving tests now which is 498 plus 654 plus 711 plus 514 which gives us 2377 so 1348.29 out of 2377 total pass rate of 56.7 percent so 57 percent if everyone who took the test in autumn passed how many people passed over the year if everyone who took the test in autumn passed how many people passed over the year so 514 people passed here plus this number plus this number plus this number which we just calculated in the previous question so 514 plus summer 291.51 plus 281.22 plus 358.56 1445.29 so that's closest to 1446 okay that was also kind of an easier one i'd say let's see how we did five out of five brilliant all right i think i have time to do another question maybe two um so let's do that now this last one here on a sold out performance when 1200 seats are filled how much money is made from ticket sales alone okay 100 three senior areas stole 600 which costs 66.5 okay so let's start tallying things up so 600 times 66.5 that is 39 900 and then there is circle 400 times 52.5 21000 and then lastly 200 seats of which cost this apart from 20 restricted view seats which are that okay so then 180 times this whoops not 160 180 times 46.5 is 83.70 and then 20 times 37.5 is 750 so let's add all these numbers up 39 900 plus 21000 plus 83.70 plus 750 70 thousand and 20 okay boom next question year six primary school teacher wants to organize a trip with two year six that 30 children including herself and including herself two teachers would be attending the group plans to stay in the upper circle with no restricted view seats okay how much will the trip cost theater offers a group rate for every 10 tickets sold to a group the 11th ticket is free 30 children in each class so 60 plus the two teachers so the first 10 that go in we're going to get one free ticket um and that's going to leave us with 51 students left the next 10 are going to go in and we'll get one free ticket which is going to leave us with 40 students left the next 10 will go in plus one free ticket will leave us with 29 students left the next 10 will go in with one free ticket and that will leave us with 18 students left the next 10 will go in with one free ticket and that will leave us with seven um and then we'll have the remaining six students so in fact we'll get one two three four five free tickets. Okay, so instead of paying for 62 people, we're going to get five free tickets. So we're going to pay for 57 people and 57 people multiplied by where they want to sit again, upper circle. So 46.5, 2650.5, boom. Next. Susan wants to purchase six tickets, but the only set of six tickets in a row left are in the upper circle and two of them are strictly view. How much will the tickets cost Susan? Super easy question. So 4 times 4650 is 186 plus the two restrictive view, which are 37.5 each. So 7.5 times 2, 75. So 75 plus 186, total cost 261. Boom. Next question. The musical puts on eight performances a week. If every performance is a sellout, the show makes a profit of 124,500 a week. Okay, the production company originally invested 20 million. How many performances will the musical have to sell out before it breaks even? Round it up to the nearest whole number. Okay. So eight performances a week and in the week they make this much profit. So per performance, one, two, four, five hundred. Per performance, they make 15,562.5 in profit. Okay. So 20 million, one, two, three, four, five, six divided by 15,562.5, one, two, eight, five point one four. So this rounded up to the nearest whole number. So one, two, five, one, two, eight, five point one four is right here, but that is not rounded up to the nearest whole number. Pretty much a trick question. Should be one, two, eight, six. Oh, there's also one, two, eight, five. Very cheeky. So it says rounded up to the nearest whole number. So since it's one, two, since it's point one, four, we count round down to one, two, eight, five. So we have to round up to one, two, eight, six. Give me a cheeky four out of four so I can be content. Dope. All right. Great. Last question four out of four ending on a high note. All right, guys. So that is where I'm going to cut it off for the quantitative reasoning you can't video. I hope you guys enjoyed and were able to see my thought process when answering these questions live on camera and that it was useful to helping you understand and know how to solve these different questions. If you enjoyed this video, please do leave a like on it and leave a comment down below. It helps me and the channel out immensely. And if you want to see more medical school related content from me in the future, subscribe to my channel and you guys will be notified every time that I post a video. Anyways, guys, I hope you've enjoyed and I will see you in the next one. Peace.