GCSE HIGHER exam paper from www.mathstutor.biz PART 7

[jammy123ism]

What grade is this? thanks for the vid

[mathstutorbiz]

@jammy123ism Not really a good idea to consider what grades individual questions are as a grade is awarded to your total marks in an exam. Also some topics can fall in several grades depending on the actual difficulty level of the question. However this particular question is clearly A/A* grade GCSE...... mathstutor

[FriskybeanZzzz]

Mostly good explanation,the end could have been explained more though,

[goldensilverstar]

what how did u get minus 6, why not plus 6 in the brackets as the beginning

[unitedkingdomism]

why diddnt you half the -6 @ 10:08

[mathstutorbiz]

@unitedkingdomism I have thought hard how to answer this question........... I know where you get the half it thought, but it is not this question. Look at the answer. The halfing (is there is such a word!) is from the equation I arrived at the end....... half the 12 and get the 6. If you complete the square from the final answer, you get to the first line of part b) I really don't know if this helps, but I tried!!!! mathstutor

[unitedkingdomism]

@mathstutorbiz

ok it makes sense now, thank you for your time.

[lemonade836]

what is this topic called?

[mathstutorbiz]

@lemonade836 Transformation of graphs.

[MegaPunkyMonkey]

@kosovagirl54321 nice to know

[MegaPunkyMonkey]

you talk way too slow, but good vid, it helped :)

[hkplaymad]

Thank You :)

[Penndennis]

Just wanted to add; a fantastic series. Thank you.

[Penndennis]

The graph intersects the point of origin so the equation x^2-12x+24 does not describe it. One solution to the equation of the graph must be x=0; if the x co-ord of the vertex is 6 then the other solution must be x=12. This suggests the equation x^2-12x. However, this gives vertices of 6,-36 whereas we have 6,-12. Therefore the x^2 component must have a coefficient of less than one. By inspection we see that the equation should be (1/3)*(x-6)^2-12 or x^2/3-4x.

[mathstutorbiz]

@Penndennis...... Ah well....... I agree that my solution y = x^2 - 12x +24 does not pass through (0 , 0) as the "SKETCH" suggests. However it is the answer...... showing that it is the "SKETCH" that is wrong, ..... or misleading. (on the other hand

if the sketch were correct and the graph passed through (0 , 0) your solution would be correct. Well done. I can only appologize for my "suggestive" sketch. mathstutor

[Penndennis]

@mathstutorbiz First of all, thanks for your reply. However, it's not just the graph David, at the begining of the video you say yourself that the curve goes through the point of origin. Kind Regards, Penndennis.

[mathstutorbiz]

@Penndennis You got me!!! I just listened to the intro again, and I did say passes through the origin. I SHOULD NOT HAVE SAID THAT..... sorry. Part b says that the graph with equation y = x^2 has been translated to give the curve y = f(x) . So only translated, NOT transformed. So again I did answer the required question, BUT no excuses. Two mistakes. Sketch should not have passed through orgin NOR should I have said passes through origin. Too many senior moments??!! mathstutor

[kika01296]

for 24 a iii wouldent 3x be 18?

[mathstutorbiz]

No....... watch and listen again. The 3 of the 3x DOES NOT multiply by 3 but multiply by a third (i.e. divide by 3) mathstutor

[kika01296]

@mathstutorbiz wouldent it then have to be 1/3X instead of 3X?

[mathstutorbiz]

no, Make a table for y = x^2, plot the points and draw it. Then make a table for y = 3x^2 and draw on the same axis. You will see the graph gets "squashed"...... try it

[Kxxkxx]

this question 24 came on my first exam which i missed out, tnx to this video im getting rady for my 2nd papre now.

[ilam234]

wow thats the end of the paper? that was easy?

im going to do it again :)!!!!

[guitarpoison]

I was fine with everything until the last part, "completing the square"

[Rapidfire220]

Any quadratic equation can be written in the form (x + a)^2 + b.

Because when you are square a bracket such as (x + 5)^2, you square the first, times and double, square the last.

Because the miniumum turning point for (x + a)^2 + b is at (-a, b) you can write the equation if you know the turning point.

The minimum turning point for that question is at (6, -12), so put it into the equation (x + a)^2 + b and you get (x + (-6)^2 + (-12) which comes to (x - 6)^2 - 12.

[Rapidfire220]

** The minimum turning point for that question is at (6, -12), so put it into the equation (x - a)^2 + b and you get (x - 6)^2 + (-12) which comes to (x - 6)^2 - 12. **

[ppjj8]

i agree- all was good apart from last question -quite tricky!

[mathswatchfoundation]

Currently in the stage of uploading out 158 videos for maths GCSE revsion, please check it out.

[gothicking999]

Thanks for posting, i'm sitting my calculator paper tomorrow, and this question would have defeated me.

[chrinkster]

Im worried to. In a few hours ill be sitting my non-calculator. Your videos help alot though. Thanks mathstutor.

[mathstutorbiz]

relax and just go for it

mathstutor

[chrinkster]

This came up in the exam and i think i got it right. Non calculator. I really think i did well. thanks a lot for your videos, ill continue ro use them during my A levels.

[mathstutorbiz]

Pleased to have been of help. Do visit my web site mathstutor(dot)biz to see all the video clips plus details of the full version DVD's available (A/AS for september?)....and good luck next paper.

mathstutor

[teflonboy12321]

AHHH! exam tomorrow. A very helpful video. Thanks

[spidermanuk]

aha me too :) IM WORRIED LOL

[whosan37]

but damn!! that last question was hard!! would noway have been able 2 do it alone!!..i actually still dnt get it that well need 2 see how u figured that out lol..thannkxoo soo much!..lol

[mathstutorbiz]

good luck in your exam.

mathstutor

[whosan37]

very useful, i totally forgot about this stuff..thankx i have maths GCSE exam on monday..wish me luck!

[JRdude12345]

sorry about the cooment on part one

you are really doing a great job

[mathstutorbiz]

ok. Good luck with your studies,

mathstutor

[Jonnat011191]

thanks mr

[PEFANIS1]

WOW very confusing i had to watch it 5 times to make sence because my english arent too good i learn them to language school

[mathstutorbiz]

but you understood in the end, well done. mathstutor

[PEFANIS1]

hahaha true

[hunnychild08]

That was extremely helpful thank you (=

[0ThisCharmingMan0]

Thanks Dave, very helpful!

[fiddlesticks212]

loser!

[Codzyboy91]

cheers bigman

[stk006]

thanks for the video

[mathstutorbiz]

you are welcome

mathstutor

[stk006]

thanks for the video

[Mann1979HH]

I wish my Maths lessons would have been in English just like here! That would have saved me from many bad English marks!

[culterreux]

Thank you very much for this awesome video ! Continue your amazing work, I think it must be very useful for lots of children !

[drh365]

A very good video treatment of a question based on a very difficult topic.

[mynameishussain]

thank you teacher for your help i love you

pls check your website it is not working

[mathstutorbiz]

please check, web site is ok

[directoREi]

OMG I'm getting a headache. haha.

[skorchin]

I hope this helps me. Thank you so much for all the help you give us, sir =]

[mathstutorbiz]

best of luck, be sure, all the extra effort you put in will be of help. mathstutor

[I0ncehadalife]

Wow, I like all your videos, you help lots of Kids, I am gonna tell peple about you..

[mathstutorbiz]

thank you..... do tell them about my web site too mathstutorDOTbiz....... good luck. mathstutor

[penny700]

Will do

[mathstutorbiz]

thank you.... and please tell your friends about the web site mathstutorDOTbiz............

[I0ncehadalife]

Wow man, excellent, cool thank-yuo

[burntsoup]

Woo i knew this one inside out!:) I just done my higher maths-very difficult subject and im so glad thats me done with it,took over my life :(

[harmonyjay]

thanx teach

[Tesslovesaof]

Really helpful thanks

Not looking forward to maths tomro :(

[milan5baros]

I am really impressed with your teaching method! helped me and I have my GCSE non-calculator Higher paper tommorrow, I will not watch some more of your videos and reccomend the dvds to my sister in a few years. p.s you need to market yourself and those dvds will sell well, your a very good tutor!

thanks :=)

[milan5baros]

woops i meant i will watch more of your videos and recccomend the dvds

[samioni]

well thank you. and good luck in your exams. mathstutor.

[surgeonhashmi]

Yeah, thanks alot. Not many people would take the time to do this. It's helped a lot. Thank you. I've applied for Maths A-Level, what sort of grade would you expect someone to get, if they were to cope with A-Level Maths? I got an A in my mocks and am trying to push towards an A*. Thank you once again.

[mathstutorbiz]

.......... how long is a piece of string.... any exam result will depend on the individual. Their ability and equally their hard work and effort. So it's down to you. With a GCSE A / A*... then one could expect "at least" a C at A level, but B or A ispossible with the commitment.... as I said, how long is a piece of string. Good luck in your exams and the future. mathstutor

[monst4h]

Q: How long is a piece of string?

A: Half the Length, and double it. =P

[belfpal]

Thank you for taking the time and effort to help us GCSE students. Much appreciated.

[mathstutorbiz]

you are welcome, good luck in your exams

[surgeonhashmi]

I think you may have answered the question in your last reply.

[mathstutorbiz]

as you have spotted.you have the same question as my last contact.......... mathstutor

[surgeonhashmi]

Dear Maths Tutor,

On Q. 24 (a) (iii) , why is the graph being squashed by a third and not stretched by 3 times? In what case would we stretch it? would it have to be 1 over a number? Graphs are i find the most confusing bit of maths!

Thanks for yur reply in advance.

[delPigeon]

FINALLY! Somebody telling me when to use the completing square thing!

It seems to me that I know how to do all these maths-y things, but when to do them, well as I've no idea precisely what I'm doing, then it's all a total mystery.

You explained that masterfully - nobody has managed to do so all year.

I'm so badly bookmarking all your stuff for my revision, thanks so much!

[delPigeon]

Oh, I do have one question though.

When you have y=3f(x), you said that you stretch it up and down. Do you stretch it by 3 (so three times taller) or do you actually condense it by 3 (so 1/3 of its original height)?

All this reverse stuff is so confusing xD

Many thanks if you reply!

[mathstutorbiz]

y=3f(x) is a stretch of scale factor 3 (ie x by 3)(so yes 3 times original height is away of looking at it)FROM the x axis parallel to the y axis.... y=f(3x) ia a stretch by scale factor 1/3 (ie squashed by 3)FROM the y axis parallel to the x axis. .... and yes it is confusing, but now I hope less so!!. mathstutor

[mathstutorbiz]

why not consider visiting my web site..... could consider buying the full DVD videos??? (take every chance to plug the product!!!!) mathstutor

[123jubjub123]

ohhhh i think i need to revise more haha thnx neway

[123jubjub123]

that woz fab if any1 spotted rite at the end two minuses make a plus so -6x - 6x is not -12x but +12x or just 12x but seriously im just being an idiot that was REALLY helpful thnx

[mathstutorbiz]

I do make silly slips, and I have no problem with my mistakes being picked up..... but.... this is NOT one of them... -6x ADDED TO -6x is in fact -12x .... you are getting confused with the minus MULTIPLIED minus = plus ... ok? mathstutor

[mylesandtom]

just one question, on that question 24 part iii) why would the x co-ordinate of p change? if p is the bottom most point why would it change wouldnt it just be the rest of the graph (the lengths rising away from P) that would stretch or squash?

[mathstutorbiz]

in part (iii)ALL x coordinates on the graph, including the minimum point P get "squashed" by a third towards the y axis...... you can't transform all the the points on the graph with out including the point P. mathstutor

[oink2211]

OMG ur soo cool.. thnks so much, i have exams in like less than a months time n ur videos are helping me loads

[MegaFlyGuy]

ashi1992, shutup. thanks biz, this maths is the shizzle. (It's really helpful.)

[ratulcool1]

thnx for the help man!!!

[56emma56]

thank you for helping me!!! im going to subscibe to you!!

[you42654265]

Ha ha. Math nubs have truble with such easy stuff. pow3d.

[shakirachanrai]

maybe you find it easy because you're 27 (or so your youtube page says). the rest of us taking gcses are 15-16.

[RuffDogg1991]

Hey, thanks a lot for posting this man. I have my GCSE Maths exam in like a months time and i didnt have a clue how to do that "Complete the Square" thing; but now i get most of it so thats cool!

[cauvain]

Dougle Downs is that u teaching!? i know them hands u hairy dog!

[cauvain]

im learning im learning!

[gnius786]

Thankyou for the videos you have uploaded. Really appreciate it. Keep up the generous work. For some reason everything seems so much more easier on youtube.

[CelebritiesRule]

You are really going to help me! I'm going to subscribe to you and I think it's wonderful that you do these videos! Good to see there are still selfless people in the world... (I'm trying to achieve A* in my maths GCSE)

[den4489]

Thankyou for posting this, it really has helped me to understand completing the square for my GCSE exams.

Thank you!

[mathstutorbiz]

Very pleased to have helped, and good luck in your exams. mathtutor.

[ashi1992]

this video sucks,

[mathstutorbiz]

In what respect? Did you not understand the explaination? If so, was it because of the explaination,or your lack of understanding? Was there, infact, any reason for you to look at a mathematical video??? mathstutor.

[ashi1992]

well at least i dont waste my fuckin time do crapy maths videos

[mathstutorbiz]

Should I remove this comment???? No, I think not. I will leave it to others to form their own opinion, both of my videos and the character of the author of the comment.

[roan1000]

It's his job, you prick

[neohelios77]

imluvin: people with a higher capacity for intellect require more in the way of entertainment. you may go back to your fart jokes, now...

[imluvinyourmum]

dude, why are you wasting your life on this there just numbers, numbers are all just a figment of your imagination the only thing is they are as boring as imagination gets