Demento's Year 10 maths practice paper thread (5 Viewers)

[iEatOysters]

Freaking hell, question 5.
Equivocation at its finest.

 

[RealiseNothing]

Yes please



Yes for the love of god you should.



Thank god for people who make youtube videos on maths. Honestly, I don't know what i'd do without those people (srs)

I'll make you a good question.

What topic(s) do you want?

 

[Fawun]

I'll make you a good question.

What topic(s) do you want?

Any of these topics:

- quadratics
- surds
- coordinate
- trig
- polynomials

those are my okay ones lol i'm not the best at them though

 

[Demento1]

Yes please

Yes for the love of god you should.

Thank god for people who make youtube videos on maths. Honestly, I don't know what i'd do without those people (srs)

Don't worry. Spiral will make youtube videos for maths and get over a million subscribers.

 

[nightweaver066]

Why not just post it up here?

 

[SpiralFlex]

Don't worry. Spiral will make youtube videos for maths and get over a million subscribers.

Lol dat confidence,

 

[Fawun]

all the babes will be after him

 

[Demento1]

Why not just post it up here?

Don't use any sharing sites unfortunately. I still work with emails - ancient.

 

[Demento1]

My thanks and appreciation go to twinklegal, who was able to upload the PDF files into one to share for all students keen on trying out a year 10 maths paper I made. Below is the link:

http://www.mediafire.com/view/?4mzelj1ik39clf6

 

[HSC2014]

I'll make you a good question.

What topic(s) do you want?

Any of these topics:

- quadratics
- surds
- coordinate
- trig
- polynomials

those are my okay ones lol i'm not the best at them though

I expect a single question that involves high-order use of all those topics hahaha

 

[RealiseNothing]

Any of these topics:

- quadratics
- surds
- coordinate
- trig
- polynomials

those are my okay ones lol i'm not the best at them though

a) Given:



Show that:



Where are distinct roots of the quadratic.


b) Hence state why:



If and


c) Graph if and call this


d) Find the area of the triangle enclosed by the 'x' and 'y' axis, and and call this which stands for "area of "


e) Graph on the same set of axis, given only one of the roots of is positive and it is known that


f) Consider now that the line is a tangent to the unit circle. What is the only possible value of ?


g) Now consider the value of from the last part. Denote the area of the unit circle as

What is the value of if


h) Keep these two values for and

It is given that the area bounded by the 'x' axis, and the line is equal to

Find 'n'.


i) Jim can only make unit circles. He can make any integer amount of them as he pleases. He starts off with one unit circle, then adds another next to it, then another, and so on. Show that no matter how many unit circles he has, the combined areas of these unit circles is never equal to the area formed by an isosceles right angled triangle with hypotenuse length

j) Hence find the ratio of the areas of:

1) Unit circle.
2) The right angled isosceles triangle.
3) A square with side length from part (h).


End Of Question



lol that took longer than expected. Not sure if this question is any good or anything, nor if it's too difficulty, but give it a try I guess.

 

[HSC2014]

Btw what does it mean by roots? I've seen that word thrown around a lot in polynomials and stuff (I havn't learnt it yet). Does it literally mean.. square root? or is it like basis or something.

 

[RealiseNothing]

Btw what does it mean by roots? I've seen that word thrown around a lot in polynomials and stuff (I havn't learnt it yet). Does it literally mean.. square root? or is it like basis or something.

Say we had a function, the roots are the values of 'x' which make that function 0. If you graphed the function, the roots would be where the function crosses the 'x' axis.

For example, let's consider the quadratic:



This can be factored to:



So we want this to be 0 right? That means that or

These are the roots of the quadratic as they are what make it equal to 0.

 

[HSC2014]

Say we had a function, the roots are the values of 'x' which make that function 0. If you graphed the function, the roots would be where the function crosses the 'x' axis.

For example, let's consider the quadratic:



This can be factored to:



So we want this to be 0 right? That means that or

These are the roots of the quadratic as they are what make it equal to 0.

Are they the same thing to x-intercepts then?

Edit: Post #100 woot.

 

[RealiseNothing]

Are they the same thing to x-intercepts then?

Edit: Post #100 woot.

Exactly the same things.

 

[Fawun]

No one write solutions or hints or anything yet

I wanna try this ALL BY MY SELF

 

[Demento1]

Exactly the same things.

Has fawun gotten up to absolute values and such? I'm pretty lost in some of the symbols myself - probably haven't learnt it yet.

 

[Fawun]

Or if you're going to post solutions to something, write it in big red letters or whatever so i know to skip your post

 

[Fawun]

Has fawun gotten up to absolute values and such? I'm pretty lost in some of the symbols myself - probably haven't learnt it yet.

yes

everythings positive

 

[HSC2014]

yes

everythings positive

LOL. DON'T MAKE IT SOUND SO SIMPLE. I struggled on that for weeks. The concept of it and harder questions hurt your head.