hey folks welcome to the nzqa numeracy 2024 paper from term two um if you're joining us for the first time the way this video works is that I go through each question and let you know what you need to do to get the required outcomes the best way to watch this video is to pause the video at the start of each question try the question out by yourselves and then unpost the video to try and see how I go about answering the questions now just add to that folks a lot of people don't know that this particular YouTube channel exist so if you could subscribe and share to your wider networks that'd be amazing anyway let's get started all right so for the first question what we've got here is aara lived about 225 million years ago and what we've been asked to do can't write properly today what we been asked to do is circle the arrow that shows 225 now if you look at the scale here we've got 0 to 500 million um and I guess we got to try and figure out how many of each of these little lines so I'm just going to count them out so it's 1 2 3 4 5 6 7 8 9 10 so I guess 500 million divided by 10 it's going to go up by so each of those lines are worth 50 million so this is going to be 450 this is going to be 400 350 300 250 200 and then we're going to keep going now we let's just keep going just to see whether this works or not I feel like I've missed something here no I haven't there we go and we're looking for 225 and we can we know that 225 is between 250 and 200 so we are going to go with the arrow 5 it's part A of this question now Part B of this question is saying that toara weighs 1 kilg G the weter weighs 25 G how many times heavier is the Tara than weter so we're going to take the 1 kg so we're going to take 1 kg we know that 1 kg is 1,000 G and if we do 1,000 divided by 25 it is going to tell us uh how many times heavier the Tara is compared to the vetor so going to go into my calculator and just going to go 1,000 / 25 now now I'm using the graphics calculator here folks now you are allowed to use a scientific calculator as well so it's absolutely fine so here we have so we're going to write down 40 times heavier all right next question now with this particular question there is a wide range of answers you could give my kind of suggestion is that don't just write down the numbers you've got to kind of give some sort of explanation um and I'm just going to show you here what the minimum number of eggs that could actually hatch and what the maximum is so if you look at it we can see that um the female toara lays six eggs every 4 years so over 10 years we can say that she has laid 12x right that's minimum so and if 12 eggs kind of um you know hatches then your minimum number could be 12 because you would actually have 6 * 2 which is equal to 12 now if you think about it as is a Max now the maximum eggs is 10 but because it's every 4 years you can kind of say that well over 10 years um she could potentially have laid uh three lots and you might be wondering how's that possible like if you think about it um you could actually have so it's kind of trying to figure out how many times She lays that eggs over a 10-e period now if you think about the minimum version so imagine I'm going to go back to the minimum just to kind of help you out here so you could have the first year the second year the third year the fourth fifth 6th 7th 8th 9th and 10th now if it's every four years like let's say in the first fourth year and eighth year She lays the eggs and that's why we multiplied by two but if she laid her eggs on the first first year so that'll become one then five is the every fourth year and nine so you basically have like she could actually have over a 10 10e period she could lay eggs twice in the 10e period or three times and because for we're looking at the minimum and maximum for maximum we can actually say it will be 10 * 3 so that means she is could potentially lay 12 to 30 eggs is what you could actually kind of say but you probably would have to write down to um you probably need to discuss a little bit more about this little diagram that I've done as to why I multiplied by three and two so I might just write a little statement that says over a 10-e period she could lay eggs twice or three times therefore the minimum could be six well because it's 6 to 10 eggs we're going with the minimum number of eggs and minimum number of years number of times she Hatches the Egg with maximum number of eggs multiplied with the number of like what's the max number of times she'll lay the eggs over a 10year period um just wanted to show you folks the the schedule so as you got as you folks can see we've got 12 to 30 and supported by reasonable calculation they say the answer may be a single number um but I would always put put a range and it also give you kind of reasoning behind it uh some examples these are some examples of how they got between 12 to 30 and again they talk about that first clutch laid in the first year so yeah otherwise you could also do the averages so you can actually go 6 divided by 4 which gives you that 1.5 eggs per year and then multiplying by 10 is 15 now again that's a little bit odd because theoretically not getting one I mean on average you're getting 1.5 eggs per year but it depends on when the eggs are being laid all right so next question is about how many twara were on little Barrier Island in 2012 so we're looking at 2012 so we've got 20110 at the bottom here and 2015 here uh so I guess we're going to going to go 1 2 3 4 so 11 12 13 and 14 and if we look at 2012 what I think it's roughly 200 um I'll probably go with 200 to Atara now in the answer schedule they say that you they accept a range between 180 and 220 that literally means that they will accept how many lines are there I think it's 10 so anywhere between there and there so it's quite a large range that you could potentially get your um get your answer in so 200 is the right answer but they they will accept an answer between 180 and 220 so with this question the question's asking does the graph suggest that there are now Young toara on the island now the median is 220 now what we do have is we've got a we've got a quite a solid little cluster here um and these were 60 AD toara released in 2003 so this is after 10 years we've got about we've got about 31 TT left over but then there's a large group of them that's between 190 and roughly 260 um so what you might want to mention is that potentially this right here could be a young toara but we can kind of say a statement that what can I say median is 220 so we've got median is 220 and there is a cluster or a group I think however you want to call it there is a cluster between 190 and 260 which suggests that these are adults and we can also say the 10 Mar don't know 15 uh there is a twara at5 which could be a young toara but it could could also Al be just a normal toara which just probably has its tail cut off or something like that so I might you know I wouldn't which probably say which could be a young Tara or a an adult Tara with a short tail sorry R an adult toara with a short tail so yeah so to answer back the question it really doesn't suggest to us that that there are young tar on the island um yeah so probably would say could be could be not I don't know that's the funny thing about stats isn't it it's always those kind of weird questions right I mean you can actually write any type of answer and as long as you justify it you're pretty much good to go all right so next question what write the letter that shows the location of the island where is the island the island is half the Tara New Zealand live on an island 95 km Northwest now Northwest direction is that so Northwest of Wellington about 95 K now I have to apologize for this particular question because what ended up happening was I was using Google Maps and when I was using Google Maps and then I try to create the scale on my own and I kind of stuffed it up a little bit so as you can see the original scale that's actually too small I'm guessing the scale should be about that much so from there to there is roughly 20 kilm so if we think about 95 I am thinking probably I should probably cuz I know what the answer is I'm I'm probably thinking like somewhere there so ideally what what you have to do is you kind of have to take that little black line and from Wellington you're going Northwest Direction know 1 2 3 4 five Lots roughly five Lots so that's 95 km Northwest so I'm actually looking for the letter D now I do again apologize because yeah I was messing around with the scales and I should have actually used the screenshot of the Google Maps which I didn't so but that's pretty much how you do this question you take the scale and you kind of you can use your fingers if you want or you can use a ruler a ruler is the easier one um take the ruler and then you measure how many centimet is that 20ks and then you kind of like draw the see if I can show you here now there we go so if you look at it it's like roughly from here to here just roughly so it's like one unit almost so if I kind of go there okay maybe not this is probably a worse worst idea but you get what I'm trying to say it's like you kind of like just take the centimeters and then just use that this ruler is not it's not an accurate Ruler all right folks that's basically question one all right so for question two we're creating pattern five how many squares would nickel need in total include all squares of different sizes trying to actually see how this pattern actually looks like all right so that means for every Edge there is another Square that's happening so that means there's going to be another Square here like a little one probably another Square here so that's 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 177 18 19 20 21 22 23 24 25 26 27 28 29 30 31 so it should have 31 squares for this particular pattern Part B of this question which number of lines shows reflection symmetry in Arianas reflection symmetry well I think the only lines that actually show any kind of reflection of symmetry is line two and line five because line two you can fold it in the middle um and line five you can kind of fold it in a horizontal way but everything else there is no line of symmetry so we're going to have line two and line five all right so the next question here we have humans in this cartoon is the bottom of Richie's nose in the right place use fractions from both of the diagram and cartoon to explain your answer so I guess the first thing I want to do is I want to count out how many of these lines I've got 1 2 3 4 5 6 7 8 9 10 11 12 now if you look at the nose the nose is actually at the line 4 out of 12 which is the same as 1/3 so the nose is actually above the line that's 1/3 so I guess you can kind of say yes it is correct because 12 that you mean you kind of divided the Richie mcos face into 12 parts and then we went it's above the Fourth Kind of division so that's equal to 1/3 so we can actually say agree and the way we're going to do it is there are 12 divisions and his nose is above the fourth which is above 13 so that's one way of doing this um the other way is what we can do is we can potentially disagree as well now you could potentially disagree as well the reason you can disagree is because for the human face nose is on the line is on the third line while Richie is above the third line and let me show you what I mean by because the third line is right there and see how the nose is on the the third line but if you look at richin mco's one it's the nose is slightly above the the third line and therefore you can actually potentially disagree as well all right next one what have we've got we've got which letter shows the correct top view of the sculpture now this is a top view so if you look at the front view and if you kind of imagine it going backwards then the top view should look something like this where it's all set up evenly and so so we can say that it's letter e next question so Superman comic sold for what is it no we don't know what it sold for uh 19779 the comic sold for $1,000 in 2022 it sold for 2.6 million how many $1,000 Comics can you buy for 2.6 million so all we've got is 2.6 million and we're going to divide it by 1,000 so when we do that we're going to get 2,6 00 uh next one again I did copy this from one of the websites and um let's see if this works so we've got TI which is a TI is up there the map shows the draw I've taken to Wellington TI will take 5 hours and 49 how much time is that rounded to the nearest hour so 5 hours 49 minutes is rounded up to 6 hours and that's pretty much it for question two folks all right so what we've got here is we've actually got 15 L of water when it's full and it weighs 15.35 2 G how much does the empty water bottle weigh now it says 1 lit of water weighs 15 kg so 15 L is going to be 15 kgs and we've got 15352 so that means if we do 15352 minus 15 we're going to get 0.352 kgs converting that to grams we multiply it by by 1,000 so 0.352 * 1,000 basically all all that means is the decimal point is going to move three lots because of three zeros and we're going to get 352 now of course you can actually use the calculator for it but just kind of showing you how you can not use the calculator as well uh Part B we've got each of the three bottles below holds 1.5 lit three how many 300 mil glasses can you fill from all three bottles so what we're going to do is we're going to take 1.5 L which is equal to 1,500 millit because you multiply it by 1,000 to get 1,500 ML and we've got three bottles of that so 3 * 1,500 equals 4,500 Ms and if we do 4,5 00 divided by 300 that's going to give us 15 so 15 glasses all right next question so the first thing we're going to do is we're going to try and figure out how much more water in kilogram does the adult pig have their body than the piglet has in their body so we're going to work at the piglet first right now for the piglet we've got 75% of 8 kgs 75% of 8 kgs so we're going to do that as 75 over 100 multiplied by 8 doing that in the calculator we're going to get 6 kgs of water and likewise when we do the adult Pig we've got about 50% of 120 so it's 50 over 100 * 120 which is equal to 60 kgs of water so if you want to find out how much the adult Pig has how much more water the adult Pig has compared to the piglet we're going to do 60 - 6 which is equal to 54 kgs now sometimes one of the answers that you could potentially write is like it's actually 10 times more since 10 * 6 is 60 as well but so it depends on how you actually word your final answer so you could actually say 54 kgs or sometimes it's accepted to say 10 times more as well uh question D so question D what we've got people fa for a month how much does cind pay for each cubic meter of water used so okay so all we got to do is just $35.96 divided by 24.8 um now if you are wondering how did I come up with that now have a look at this the clue is actually given right here so you've got the dollar amount at the top and the meter cubed at the bottom and that symbol there is divide the division symbol and that's how you figure out the rate so 3596 divided 24.8 now unfortunately I do need the calculator for this and possibly the right mode it's not working for me where is it 30 oh no my numlock is not on 35.9 6 ided by 24.8 that's going to give me a145 so it's going to cost me $145 per M cubed moving on to the next one now for this question here we can kind of see that probably the best one is going to be the shower and I'll show you folks why if we go with 2 minute showers So currently 4 minute showers take 48 lers so if we do six people and over one day let's say they do one shower and at 48 minutes sorry 48 liters this is for the 4minute shower so when we do um 6 time * 48 we're going to get so they are using 288 L of water but what happens is if you actually reduce that to 2 minutes showers then over one day you would actually do 144 l so they actually save 144 L of water um by just dropping it to 2 minutes so running a washing machine is only like 60 l so if they run it every 2 days they will actually save um only 60 L of water um so I think if you look at the ideas for saving water doing the shower shower idea is the best um so we're going to say that reducing shower time is the best option is the best option as with two minute showers talas far now will save 144 L of water so yeah I think I think that's pretty much it because if you and if they take like a 8 minute shower then they would have gone six people per day 8 minute shower is 96 so 6 * 96 is like 576 and if they drop from 8 minute to 2 minute shower then they would do 576 minus 144 which is 432 L of water uh as for the other one if they drop from 4 minute showers to 2 minute showers then they save 144 L of water so yeah um and and actually to be honest that's actually quite true uh We've noticed a massive decrease in our water bill since we dropped our shower times not going to say how much how long I take the shower for but it's like yeah it is it is quite a significant difference by having your times for your showers all right so the next question here average rainfall and temperature for each month of the year which season has the highest average rainfall so rainfall is the green little ones and we can kind of see it's going to be winter June July August so so June July August is right there so this probably this Trio is a lot higher compared to this one here the March April May one and how you do it is like you could actually look at the the tips the three tips of those rectangular bars and you can see that the the yellow bars when you add them all up it'll be much higher than the green ones there maybe I shouldn't have done green I should have done another color like this so you can actually see the lines so the answer for this is going to be winter and that's pretty much done for question three all right so with question four how many more people attended polyus 15 and 2015 compared to 2021 so in 2021 we probably around the 45k mark 2015 I don't know I'll probably put this around 8 75 85,000 maybe so 85 - 4 5 that's going to give me 40,000 people and of course the answers there's a range you could actually accept a range of between 35,000 to 45,000 yeah that's that's question 4 right question 4B do you agree with organizer's comment the comment was they'll have around 100,000 attendees in 2025 well it's one of those questions again where you can agree or disagree so if I was to agree you can kind of say uh trend is rising and you can also say should return and should return to preco levels so that's one thing uh you can disagree You can disagree because you don't know what's happening but also um what can you say 2019 it was cancelled but yeah I would the the one of the reasons I disagree is because unknown factors right you don't know what what's going to happen I mean I really wish we don't have another pandemic but at the moment we've got like a recession so that could actually have an impact on people attending events so yeah like so there's a couple of things so this you can never really be sure so you can actually agree or disagree and as long as you give the right reasons and if the reasons are good enough then you are pretty much good to go for this question question C ticket prices if you buy single day pass for two days online you get a 15% discount Six settles want to attend both Saturday and Sunday what will be the total cost for the group yeah I yeah the thing is it's like I think you'd have to go with the what would be the total cost for the group this is a weird question because the thing is it doesn't actually ask you for what's the best price it just says what would be the total cost for the group so if I look at the six $6 passes right I've got six $6 passes for two days and that's going to give me say $72 now because I'm getting a 15% discount on it I am going to take 15% of 72 so 15% of 72 is $10.80 and if I do 72 take away $10.80 it's going to cost $61.20 now this is one of your answers the other answer that you could potentially say is if they want to have a flexi pass then that'll be 6 * 7 * 2 so that's going to be $84 for flexi pass or if they have gate entry per day if they arrive at the gate then that'll be six * 850 * 2 that's 17 * 6 uh what do we got 17 * 6 that's going to be $12 so in the answer schedule they say that exception is that they do accept answer of $84 and $102 but yeah it doesn't say anything about like giving the cheapest option or anything like that so there we go uh the next one part D is a Saturday program for the Mari stage it gives the name of the school an area each school has the same chance of winning what's the probability of the school from essay area winning oh wow okay so this whole question here now if you look at it the essay I guess it's I don't know what it is but let's just see so we've got 1 2 3 4 5 so we've got five that's essay so five out of 1 2 3 4 5 6 7 8 9 10 11 schools so 5 out of 11 as a probability it's just above 50 well just below 50% sorry I was thinking about something else so we kind of have to look at this and go which arrow is it going to be I guess the way you would want to do this is you probably want to have a ruler and you want to find out the halfway point now I'm not using a real ruler here so I'm going to have to kind of work with this so that's 1 2 3 4 5 6 7 8 roughly eight so one two one two 3 4 um I'm thinking it's around the arrow two because that's actually under 50% so Arrow two is probably the one I'm going to go with for 5 out of 11 right there all right next question morning time table for tongen and Sone Stage 5 minute break how much longer in minutes is each performance on the tongen stage compared to the performance on someone stage so that means let's have a look so they' got a 5 minute break so that's five five and five so that's 45 minutes remaining so that's going to be 15 15 and 15 if you look at the Sone stage you've got five five five five and five that gives you 35 minutes left over and you've got five acts so that's 7 minutes for each Act and the question is asking how much longer minutes is each performance of the tongen stage compared to the performance in the Sumo and stage so that's going to be 15 takeway 7 which is going to be 8 minutes longer for the answers I think in the answer booklet well the schedule says that you only need the answer there you don't need to actually show any kind of working so that's neat so basically you could just use the table like how I did and solve that question all right next one 40 performers with the leader in the group after a file they formed to formation B so they went 4x1 to 8x5 what's the small so here they had a 10x4 and then here they had 8x5 what's the smallest number of performers from formation a that need to move to make formation B okay so I guess we're trying to figure out how many people that will actually move but I think if you think about it these eight people here they just move to the back there we go so let me just show you again so if we take these four they go here and then we take these four they go here so that's going to be the smallest number of performance so yeah that's going to be eight students right there that's it and we're done for question four all right so question five what we have is area of the rugby feeli in square met so area for a rectangle is base time height so we got 68 * 106 it's going to give us 7,28 M squar next we have they all the players in rugby s teams their heights are given in numbers which two players need to swap so the heights are in tallest to shortest so Caleb has to swap so it's just Caleb and Josh cuz remember two is the same thing as 2.0 and 1.90 1.80 and if you think about it like if you get rid of the decimals you've got 200 177 185 181 so that's how I know that Caleb needs to be swapped over with Josh cuz Caleb is 190 Josh is 177 so those two boys need to swap over so Caleb and Josh uh both needed in either order both needed an e order yeah I think that would make sense Caleb and Josh need to swap spaces all right next part of the question Michela played 14 minutes of rugby 7s ran a total ran over 100 m for every minute played okay so if we take the numbers we go 1500 1540 and we divide it by 14 minutes we're going to get how much time or how much she ran over how much she ran okay let's just work it out so 1540 m divided by 14 minutes gives us 110 m per minute so this is one of those awkward questions where you can actually get both answers you could say it's correct because she said on average run over 100 minutes per minute well one thing you can say is that she is correct because she is running at 110 m per minute the other one you could say is she's actually incorrect because she's running 110 m per minute and not 100 m per minute so yeah so the way in which you write this particular answer is that you can write both of these answers but you have to have an explanation so if it's correct you can kind of say look yeah she you know she predicted that it's over she said over 100 m and 110 m per minute is actually over 100 m so you can kind of say it like that or you can say incorrect because yeah it's 110 and not 100 so yeah odd odd question but both answers are correct as long as you justify it now with this question I kind of had to stretch the stretch the lines to get an angle and if you think about it so this particular shape here here that is roughly 90° so I'd probably put this around like 30° maybe so that's what I would put it as the answer schedule actually says accept answers in the range of 15° to 40° so because I'm looking at this particular angle here that's I'm putting it as roughly 30° all right next one so so with question e the the thing is I don't think it matters it doesn't matter if she chooses heads or tails because there's still a 50% chance of either popping up yeah so I would probably say it won't matter what she chooses it won't matter what she chooses as both heads and tails have 50% chance and that means she could either be 50% successful or 50% unsuccessful um yeah and that's pretty much what what you kind of need to say for this question here next one here got a big one here so rugby blah blah blah tables yep first and second teams play in the final the following statement was made New Zealand has been in the men's final for over 60% of the Rugby sevs World Cup so if you look at it um we've got how many tournaments do we have we have got one two let me just highlight that actually hang on 1 2 3 4 five 6 7 eight so eight tournaments and out of the eight Tournaments has been in the finals for 1 2 3 four five so five finals out of eight now if we do five out of eight as a percentage that is 62.5% and I think with this one it's a straightforward one we just have to agree because we can say that so we're going to say agree um New Zealand has been in five out of8 finals which is 62.5% which is greater than 60% cuz they do say over 60% of the Rugby World Cups now you might be sitting there arguing me with but what about the previous question when it said over 100 m I know I know it's frustrating but but I think yeah that's pretty much some of the some of the craziness of these kind of questions right but folks um I think that's pretty much it for this question paper here anyway folks so basic basically just a quick little rundown if you found this useful uh please share it to some of your classmates I know a lot of year 10s and year n's doing it for the first time um they don't know that this um YouTube channel exists if you have any questions or comments drop it in the um comment section below and quite active on Instagram so if you do have any questions feel free to go over there and drop some questions there as well that's all from me and all the best for your exams for this time around all right hey guys that is basically it for this video as always don't forget to like this video share this video and of course subscribe to keep up with the latest content uh there should be some playlist popping up check them out great revision material and as always thank you for watching