HSC 2013 Maths Marathon (archive) (1 Viewer)

[Menomaths]

Re: HSC 2013 2U Marathon

There are two answers as there are two different points which can make ABCD a parallelogram.

Ah I see

 

[bedpotato]

Re: HSC 2013 2U Marathon

How can you tell which pair of points is the diagonal and which is the side of the parallelogram?

Idk if this is true, but I go by the order it's written in the question. For example, the parallelogram ABCD, start from A to B, then to C, then to D. D is obviously then in the first quadrant. :L

 

[spanky125]

Re: HSC 2013 2U Marathon

Can't you just find difference of C from A, and apply that from B to D such that D(-4, 1)

http://goo.gl/Xc1yqj

Because there are two points.

 

[ocatal]

Re: HSC 2013 2U Marathon

http://goo.gl/Xc1yqj

Because there are two points.

There are actually 3 if you also consider AB to be a diameter.

 

[Shazer2]

Re: HSC 2013 2U Marathon

So is (-4, 1) still a solution?

 

[untamedkid]

Re: HSC 2013 2U Marathon

Idk if this is true, but I go by the order it's written in the question. For example, the parallelogram ABCD, start from A to B, then to C, then to D. D is obviously then in the first quadrant. :L

yeah that's what I have learnt throughout the year, follow the order they give, cost me some marks

 

[bedpotato]

Re: HSC 2013 2U Marathon

So is (-4, 1) still a solution?

No. It's (4,3)



D is in the first quadrant.

 

[ocatal]

Re: HSC 2013 2U Marathon

Idk if this is true, but I go by the order it's written in the question. For example, the parallelogram ABCD, start from A to B, then to C, then to D. D is obviously then in the first quadrant. :L

Hmm makes sense..

 

[Shazer2]

Re: HSC 2013 2U Marathon

Yeah but it doesn't explicitly state that D HAS to be in the first quadrant it just says find D such that ABCD forms a parallelogram. I remember questions like this in the past where students have got marks for 3 different solutions.

 

[Menomaths]

Re: HSC 2013 2U Marathon

Idk if this is true, but I go by the order it's written in the question. For example, the parallelogram ABCD, start from A to B, then to C, then to D. D is obviously then in the first quadrant. :L

Good tip, repped

 

[bedpotato]

Re: HSC 2013 2U Marathon

Yeah but it doesn't explicitly state that D HAS to be in the first quadrant it just says find D such that ABCD forms a parallelogram. I remember questions like this in the past where students have got marks for 3 different solutions.

Did a little google search and found this.

http://online.math.uh.edu/MiddleSch...tial/Content/UHGeometryTEXTQuadrilaterals.pdf

Read page 2.

 

[Shazer2]

Re: HSC 2013 2U Marathon

I'm not really sure what you're getting at. If we can get actual clarification on it that'd be good, I was just under that impression because of the students who got marks in the past.

 

[anthony_wheels]

Re: HSC 2013 2U Marathon

Good luck to everyone tomorrow!! I hope you all do very well!

 

[spanky125]

Re: HSC 2013 2U Marathon

Good luck to everyone tomorrow!! I hope you all do very well!

I don't, I hope every single one of you fail miserably. Thus, indirectly helping me.

 

[leesh95]

Re: HSC 2013 2U Marathon

We know that 2^10=1024 so that 2^10 can be represented by a four digit numeral.

How many digits are there in 2^1000 when written as a numeral?

 

[bedpotato]

Re: HSC 2013 2U Marathon

We know that 2^10=1024 so that 2^10 can be represented by a four digit numeral.

How many digits are there in 2^1000 when written as a numeral?

12?

 

[leesh95]

Re: HSC 2013 2U Marathon

12?

No

 

[Shazer2]

Re: HSC 2013 2U Marathon

We know that 2^10=1024 so that 2^10 can be represented by a four digit numeral.

How many digits are there in 2^1000 when written as a numeral?

So I looked up the answer, but I'm not sure how to solve it. Care to explain?

 

[leesh95]

Re: HSC 2013 2U Marathon

So I looked up the answer, but I'm not sure how to solve it. Care to explain?

Maybe I should have put part 1) Find log 2^1000 to 3 decimal places.

This might give you a clue

 

[andybandy]

Re: HSC 2013 2U Marathon

302 digits