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Mathematics: Post your doubts here!

Phoenix Blood

Phoenix Blood

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Sariya Khan said:
http://papers.xtremepapers.com/CIE/Cambridge IGCSE/Mathematics (0580)/0580_s03_qp_4.pdf
Can anyone please tell me the method to solve Q 6.?
Click to expand...

6)a)i)
Volume= area of cross-section*length
= 2x*(x+1)*(x+4) cm^3

6)a)ii)
= (x+1)*(x+4)*2x
= x(x+4)+1(x+4)*2x
=(x^2+4x+x+4)*(2x)
=2x(x^2+5x+4)
= 2x^3+10x^2+ 8x cm^3

6)b)i)
subtract 2cm each from the base lengths, as 1cm is reduced from both sides. subtract 1cm from the vertical length of the box only.
2x = 2x – 2
(x+4)-2 = x + 2
(x+1) - 1= x

6)b)ii)
Volume= area of cross-section*length
=(2x – 2)*(x + 2)* x
=2x(x+2)-2(x+2)*x
=2x^2+4x-2x-4*x
=x(2x^2+2x-4)
=2x^3+2x^2-4x
Now, Interior volume - exterior volume'
= (2x^3+10x^2+ 8x)-(2x^3+2x^2-4x)
=8x^2+12x cm^3

6)c)i)
Volume of wood was 8x^2+12x cm^3
Now we know it equals 1980 cm^3
8x^2+12x = 1980
divide the equation by 4
2x^2 + 3x = 495
2x^2 + 3x - 495 = 0

6)c)ii)
solve 2x^2 + 3x - 495 = 0, quadratically, using....... -b=-√ b^2-4*a*c/2a
you'll get x=15 and x=-16.5
we'll assume x to be 15, because lengths can't be negative.
dimension 1= 2x= 2*15= 30cm
dimension 2= x+4 = 15+4 = 19cm
dimension 3 = x+1 = 15+1 = 16cm
 
Sariya Khan

Sariya Khan

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Thanks a lot :) May you be rewarded for such a great help (y) .Aameen
Phoenix Blood said:
6)a)i)
Volume= area of cross-section*length
= 2x*(x+1)*(x+4) cm^3

6)a)ii)
= (x+1)*(x+4)*2x
= x(x+4)+1(x+4)*2x
=(x^2+4x+x+4)*(2x)
=2x(x^2+5x+4)
= 2x^3+10x^2+ 8x cm^3

6)b)i)
subtract 2cm each from the base lengths, as 1cm is reduced from both sides. subtract 1cm from the vertical length of the box only.
2x = 2x – 2
(x+4)-2 = x + 2
(x+1) - 1= x

6)b)ii)
Volume= area of cross-section*length
=(2x – 2)*(x + 2)* x
=2x(x+2)-2(x+2)*x
=2x^2+4x-2x-4*x
=x(2x^2+2x-4)
=2x^3+2x^2-4x
Now, Interior volume - exterior volume'
= (2x^3+10x^2+ 8x)-(2x^3+2x^2-4x)
=8x^2+12x cm^3

6)c)i)
Volume of wood was 8x^2+12x cm^3
Now we know it equals 1980 cm^3
8x^2+12x = 1980
divide the equation by 4
2x^2 + 3x = 495
2x^2 + 3x - 495 = 0

6)c)ii)
solve 2x^2 + 3x - 495 = 0, quadratically, using....... -b=-√ b^2-4*a*c/2a
you'll get x=15 and x=-16.5
we'll assume x to be 15, because lengths can't be negative.
dimension 1= 2x= 2*15= 30cm
dimension 2= x+4 = 15+4 = 19cm
dimension 3 = x+1 = 15+1 = 16cm
Click to expand...
 
vevoxDho

vevoxDho

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TSZ said:
Re: IGCSE Maths Help--Available Here--Any Question

ok. There are so many forms of maths in IGCSE e.g international maths, additional mathematics, maths with coursework. What is the difference b/w dem and how many of dese cn a person give in one session?
Click to expand...

By the way, maths with coursework(0581) have been stopped after 2014. So 2014 was the last year to take it.
 
Harsh Poddar

Harsh Poddar

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I've made a website to help students like me to access past papers faster. Check out signature below and share with friends.

P.S. I made it for myself earlier this year and got amazing reviews from friends and so I made it publicly available.
 
sj0007

sj0007

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If
idklol said:
What's the difference between the two papers (Paper 2 and 4 I think, no coursework)?
With all my subjects I can see a difference in terms of content expressed in the questions.

For example: Sciences have a practical paper vs a multichoice vs a core/extended.
Click to expand...
If u see that paper 2 is easy and short whereas paper 4 is long and hard
 
Phoenix Blood

Phoenix Blood

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idklol said:
What's the difference between the two papers (Paper 2 and 4 I think, no coursework)?
With all my subjects I can see a difference in terms of content expressed in the questions.

For example: Sciences have a practical paper vs a multichoice vs a core/extended.
Click to expand...
And paper 4 has multiple parts to each question. Paper 2 had independant questions uncomprised of sub-questions.
Basically in paper 4 you have transformation, matrices, probability, vectors, and one question on numbers. In paper two, you have simple quesstions on number, algebra, and geometry. But this isn't always the case...
 
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