Higher Prelim Revision Sheet
Published November 14th, 2006 in 5M1, Higher, Prelims, homeworkHere is a higher prelim revision sheet. You may or may not find it useful.
Higher Prelim Revision Sheet 1: hhwprelimrevision.doc
If you have any problems with the sheet please leave a comment and I(or maybe even someone else) will get back to you.
Please hand in completed exercises by Tuesday 21st November.
Hello I just wanted to be first to post a comment about this useful resource
Hey Mr. S. all the things are working fine for me which is a good thing I guess
Glad to hear it Matt.
Mr.S, printed off the homework, works fine
Hi Stebbo. Hope this one makes it through to you. I made sure not to use any dirty words.
Might b the stupidest question you will ever b asked, but is 2(a-a2) a fully factorised form? Bet the whole class will make fun of me for this
but oh well.
If you want one you can have one David. How about “pixie” or “florence”? You are allowed to choose one for yourself of course.
In relation to your question: I presume from what you have written you are trying to factorise two a minus two a squared. Remember that the highest common factor of both terms is actually 2a giving 2a(1 - a). However if you are doing q2 of the revision sheet you may wish to go back and check your algebra. Hope this has been helpful David(I want a knickname). You really do need one as your present name is quite a mouthful.
Oops. I forgot to welcome David(I want a knickname) and Spud to the community. We’re glad you’re with us. I do apologise. I got so excited that David(I want a knickname) asked for help that I got caught up in the moment. David(I want a kninckname) please get a knickname soon. I’m getting sore fingers.
i bet u were laughin out loud wen u were writing all that he he. i do like florence but mite not do wonders for my rep. I realise id just made one of my usual stupid mistakes and come out with a really strange answer. thank u mr.S. Ill probably b back 2morrow with another question. cheerio.
Glad I was of help Davio
Just a thought.
Seeing as how you didn’t hand us out the sheet you promised with all of the number sets (real numbers, integers etc), you could maybe post them on here for us all to cherish?
i thought there was 2 higher prelim homework sheets or am i bein really stupid only bein able to find one or did not understand correctly?
Hi Hana. I also thought Mr S said he would post 2 revision sheets. Maybe he just hasn’t got round to it yet?
Good afternoon folks. Nice to see some collaboration without involving me. Hana and Samuel you are both correct. I did say I’d put a second revision sheet here this weekend. Unfortunately I left school in quite a rush after my first aid course on Friday and did not upload the file before leaving. Unfortunately It’s stuck on the school server until Monday. I am sure that after finishing the first revision sheet you will be able to find plenty of materials in the review sections of the texbook. Sorry guys. It will be here by 8.00am on Monday. Happy revising.
Fraser. Rather than reinventing the wheel, go to the student revision note link in this blog. If you download the Mathematics 1, All outcomes option, you will find the very thing you are after (and far nicer than I could make it look) on page 15 and 16. In adobe acrobat reader you need to click to page 17 and 18 as it takes into account the front cover/index page. I hope this makes sense. Mr S.
does anyone know how you draw on the altitude for Q1?
Hi Becky. Try and think what is special about an altitude. The question says it passes throught point C (denoted by CP). P will be the point of instersection of the altitude with the side opposite C. I’m being cryptic so as not to give the question away. If you still don’t understand. Comment back and I’ll give you more clues.
hey i got stuck on the second part of q.7 and stuck on 8. anyone manage it?
I found those quite tricky too but they’re quite simple when you see what its really asking. Too be honest I didn’t see how to do 7 until Mr S. went over it after school.
In 7 you are asked for the min values of a function, which on a graph is one of it’s turning points, and you can get them using differenciation and a nature table.
In 8 you are asked to find where the function’s gradient is negative so again its just a nature table question.
Hope that was useful to you Hana.
Hey
Any idea how to do question 8 and 9???
o yeah i get u now thanks sam
Hey!! im stuck on 9 too and i dont even know where to start on 10!! can anyone help please???
for q 10 do u not find the gradient and then use m= tan of the angle or something. i aint to sure cos i havent got to it yet but at first glance it looks like that. and 9 i dont hav a clue either.
for q9- unknown length x X =16, so unknown length= 16/X. U use this to get the equation.
the minimum dimentions for the rectangle is the minimum turning point of the graph so solve F’(x)=0 (2 factorise this u have 2 multiply the whole equation by x squared)
Oli - question 8 is asking about where a function is decreasing, ie dropping in value. If you can translate this into a statement about the derivative of the function, you’ll be well on the way to solving it.
Oli and Laura - question 9. The area of the rectangle is 16, and one side is x. You should be able to use this to find an expression for the other side in terms of x. After that, it’s easy to get an expression for the perimeter by adding up the lengths of all 4 sides, then…..
Laura - question 10. The statement “makes an angles of a with the positive direction of the x-axis” tells you something about the gradient of the line - m=tanϑ
Good advice Becky.
I just worked out a way to show maths stuff a bit more clearly in posts - check this out:
x2
(y2-y1)/(x2-x1)
(y2-y1)/(x2-x1)
Not sure if this will work. Fingers crossed….
Oh well. You guys seem to be getting on fine without me. Exactly what I was after. I hope that the Mr Jones, Hana, Becky and Samuel have solved your problems. I’ll check back in an hour or so to see if anyone else is after some help. Great Stuff.
Nope - didn’t work. Oh well, back to the drawing board.
I got it to work here - wordpress must be stripping out the smart html tags I put in there
I’m thinking that if it would help I’ll gladly knock up a flipchart page for you guys if you need it. Give me a shout.
thanks!! did anyone else get some funny things for the point of intersection for the first one or was that just me…………….
I am really stuck on questions 8 and 9 i don’t understand what the comments above are saying. On 1 i get what to do except what is a median. Is it the one that passes through piont B and goes to the line opposite or does it intersect line B. If so is it AB or BC
i am very confused with question 9. i am ending up with X=Y which can`t b right as it says is a rectangle.Did any1 else end up with a minimum value of x=4 or was it just me?
AHHH!!! my comments won`t post!!! I am very confused with question 9. i am ending up with X=Y which can`t b right as it says is a rectangle.Did any1 else end up with a minimum value of x=4 or was it just me?
the median intersects AC at the midpoint. and for 9 i’ve done bits of it but im stuck on how to find the minimum perimeter too! and for 8 i’ve used a nature table to determine whether its positive or negative cos if its decreasing values it’s gonna be negative (thanks Sam!!!!)
AAAAAAHHHHHH all is now clear thanks laura think i can maybe get 8 and will have a bash at 9 but no promises. Thanks for the median to.
Hi Jane. Welcome.
For Q8. By using differentiation and a nature table you can find at what points the function is increasing and decreasing. What we mean by this is find when the function has a Positive gradient (increasing) and when it has a negative gradient (decreasing). These facts are what you use to determine the nature of a stationary point. I’ll post a flipchart page in five minutes demonstrating this.
For q9
A=lb for a rectangle. You know the length is X but don’t know the breadth. If you use the fact that the area is 16 you can hopefully get an expression terms of X for the breadth.
i.e. rearrange 16 = Xb
P= 2l+2b
thus get P(x)
Hopefully this is of use to you.
Flipchart on its way
I won’t post a flipchart now as laura’s sorted it for you. I’ll come back in an half an hour.
Mr S.
my head hurts! my answer for question 8 doesnt work and i dont have a clue about 9 and reading the comments above is jst complicating it even more! just advanced warning on how gappy my homework is.
For question 7, instead of using a nature table to find the minumum value of the equation like Sam suggested, can you not just read it off of the completed square formula?
For example: (x-2)²-4 = Mimumun value of -4 when x=2?
Is that right? Or not? I dunno.
Oh, and for question 6 I got a strange gradient; 1/-18 or something.
Yeah Frazer! your right. Doh! You get the same answer if you do it the long way though. Thanks Frazer!.
I got something strange like 1/-18 for 6, i think its supposed to be like that because higher is tougher so expects you to cope with bizare things. It looks about right if you think about the values in the question- 1/2x isnt big.
Hi Hana and Fraser. Fraser you are quite correct. You can read the min value from the quadratic in completed square form. As for Q 6 you’ll just have to wait and see.
Hana. You know you’ve worked hard when your head hurts. I like that feeling. If you can’t get the perimiter formula miss it out. In an exam it will be worth 2 marks. You’ll get about 5 for differentiating the formula given and getting the min value for perimeter justifying with a nature table. Remember this is a learning experience and worth nothing. Hopefully it will allow you to tackle similar types of question in the exam once you’ve seen the solutions. Well done for working hard and trying your best. I’ll see you tomorrow.
It looks like i checked a little too late to be of any assistance. Maybe one day.
Hi Steve-O. Better late than never of course. I am sure that my Higher class are very appreciative that you actually put the effort in to see if you could lend a hand. Thanks from me, and from them I’m sure.
Just had another look at your blog. Seems to be working really well. This is something I might have to try!