IGCSE/GCSE/O & A Level/IB/University Student Forum

Qualification => Subject Doubts => GCE AS & A2 Level => Math => Topic started by: Eamyzz on October 14, 2009, 01:11:10 am

Title: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 14, 2009, 01:11:10 am: Personally I solved all da past papers starting 4rm 2000 till 2009
so i kind of gt bored...so i thought about studying in groups ie we will choose da hardest questions n post da years n all of us will start solving dem then we can compare answers n methods this will encouage us to work, study and revise
i hope u lykd ma idea ;) ;)

If any1 has any doubts on any question u can just post it regardless hw easy or hard it is n gd luck 2 all of us :)
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 14, 2009, 01:18:18 am: lets start wid
O/N05 - 3
O/ N05 -5
M/J 06-7
O/N06-7
O/N08-7

thats all lets start solving dem n post da answers n check them....plz if any1 has any suggested questions just post them
Good luck ;)
Title: Re: MATH AS QUESTIONS>>>
Post by: astarmathsandphysics on October 14, 2009, 09:12:07 am: Shall i stay out of this?
Title: Re: MATH AS QUESTIONS>>>
Post by: slvri on October 14, 2009, 12:53:52 pm: Quote from: Eamyzz on October 14, 2009, 01:18:18 am
lets start wid
O/N05 - 3
O/ N05 -5
M/J 06-7
O/N06-7
O/N08-7

thats all lets start solving dem n post da answers n check them....plz if any1 has any suggested questions just post them
Good luck ;)
is this for p1?
ok then.......ono5 q3
(i)in triangle CBE
sin 60=CE/(2sqrt(3)d)
CE=(sqrt3/2)*(2sqrt(3)d)=3d
let X be a point on AD such that BX=ED and BE=XD
sin 30=BX/2d
BX=0.5*2d=d
thus ED=d
so CD=3d+d=4d
part ii will be answered in next post
Title: Re: MATH AS QUESTIONS>>>
Post by: slvri on October 14, 2009, 12:58:52 pm: ok...part ii
cos 30=AX/2d
AX=2d*(sqrt3/2)=(sqrt3)(d)
cos 60=BE/2sqrt3(d)
BE=2sqrt3*0.5=sqrt3(d)
XD=sqrt3(d)
AD=AX+XD=sqrt3(d)+sqrt3(d)=2sqrt3(d)
tan CAD=CD/AD
tan CAD=4d/2sqrt3d
tan CAD=2/sqrt3
CAD=tan^-1(2/sqrt3)
hope this helped
more answers coming soon ;)
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 14, 2009, 04:30:09 pm: Quote from: astarmathsandphysics on October 14, 2009, 09:12:07 am
Shall i stay out of this?

of course no ;)
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 14, 2009, 04:31:08 pm: i gt da same answer slvri
Title: Re: MATH AS QUESTIONS>>>
Post by: slvri on October 14, 2009, 05:44:47 pm: Quote from: Eamyzz on October 14, 2009, 04:31:08 pm
i gt da same answer slvri
thats good then. so r u appearing in AS math right now?
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 15, 2009, 07:57:51 am: Quote from: slvri on October 14, 2009, 05:44:47 pm
thats good then. so r u appearing in AS math right now?

yes wat abt u??
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 15, 2009, 08:05:53 am: ppl i was revising n i saw a question its not hard bt it needs thinking its in MJ01 Q11
solve it or have a look at them =)

Good Luck all ;)
Title: Re: MATH AS QUESTIONS>>>
Post by: Ghost Of Highbury on October 15, 2009, 08:14:00 am: Quote from: Eamyzz on October 15, 2009, 08:05:53 am
ppl i was revising n i saw a question its not hard bt it needs thinking its in MJ01 Q11
solve it or have a look at them =)

Good Luck all ;)
the may/june papers are not on FEP for a level maths..can u plz upload it here with the markscheme
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 15, 2009, 08:17:53 am: Quote from: ~Am~ on October 15, 2009, 08:14:00 am
the may/june papers are not on FEP for a level maths..can u plz upload it here with the markscheme

Ma scanner isnt working so I will try posting da question gimme 5 minutes :)
Title: Re: MATH AS QUESTIONS>>>
Post by: Ghost Of Highbury on October 15, 2009, 08:19:12 am: Quote from: Eamyzz on October 15, 2009, 08:17:53 am
Ma scanner isnt working so I will try posting da question gimme 5 minutes :)

sure..
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 15, 2009, 08:24:23 am: Quote from: Eamyzz on October 15, 2009, 08:17:53 am
Ma scanner isnt working so I will try posting da question gimme 5 minutes :)

The points A and B have position vectors a and b respectively, realative to an origin O. The vectors a and b are given by:
a= 2i-2j+k
b= 6i-2j+3k

i] obtain the value of a.b and hence find angle AOB, correct to the nearest degree.

Vector c has magnitude 12units and is such that c=pa, where p is a constant.
Vector d has magnitude 14 units and is such that d=qb, where q is a constant.

ii] Find the values of p and q
iii] Find the magnitude of d-c

srry i took tym =)
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 15, 2009, 08:37:37 am: i am leaving nw because am l8 gd luck n 4 da answers
p=4
q=2
iii] 6
Title: Re: MATH AS QUESTIONS>>>
Post by: astarmathsandphysics on October 15, 2009, 08:53:12 am: The points A and B have position vectors a and b respectively, realative to an origin O. The vectors a and b are given by:
a= 2i-2j+k
b= 6i-2j+3k

i] obtain the value of a.b and hence find angle AOB, correct to the nearest degree.

Vector c has magnitude 12units and is such that c=pa, where p is a constant.
Vector d has magnitude 14 units and is such that d=qb, where q is a constant.

ii] Find the values of p and q
iii] Find the magnitude of d-c
i)a.b=2*6+-2*-2+1*3=11
$cosx=\frac {a.b}{|a||b|}=\frac {11}{sqrt(2^2+(-2)^2+1^2) sqrt(6^2+(-2)^2+3^2)}0.5238$
$x=cos^-1 (0.5238)=58$
p=|c|/|a|=12/3=4 q=|d|/|b|=14/7=2
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 15, 2009, 09:14:13 am: Quote from: astarmathsandphysics on October 15, 2009, 08:53:12 am
The points A and B have position vectors a and b respectively, realative to an origin O. The vectors a and b are given by:
a= 2i-2j+k
b= 6i-2j+3k

i] obtain the value of a.b and hence find angle AOB, correct to the nearest degree.

Vector c has magnitude 12units and is such that c=pa, where p is a constant.
Vector d has magnitude 14 units and is such that d=qb, where q is a constant.

ii] Find the values of p and q
iii] Find the magnitude of d-c
i)a.b=2*6+-2*-2+1*3=11
$cosx=\frac {a.b}{|a||b|}=\frac {11}{sqrt(2^2+(-2)^2+1^2) sqrt(6^2+(-2)^2+3^2)}0.5238$
$x=cos^-1 (0.5238)=58$
p=|c|/|a|=12/3=4 q=|d|/|b|=14/7=2

Thank you vry much
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 15, 2009, 09:23:21 am: do u have any tricky question any tip u wanna give b4 ma exam mr. paul =)
Title: Re: MATH AS QUESTIONS>>>
Post by: astarmathsandphysics on October 15, 2009, 09:53:40 am: Get there early. Be at peace. Maybe read an exam paper but probably not answer any questions
Title: Re: MATH AS QUESTIONS>>>
Post by: slvri on October 15, 2009, 10:35:35 am: Quote from: Eamyzz on October 15, 2009, 07:57:51 am
yes wat abt u??
nope not me.......im giving AS and A2 math in june 2010
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 15, 2009, 02:39:41 pm: Quote from: astarmathsandphysics on October 15, 2009, 09:53:40 am
Get there early. Be at peace. Maybe read an exam paper but probably not answer any questions
thnk u mr. paul =)
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 15, 2009, 02:40:11 pm: Quote from: slvri on October 15, 2009, 10:35:35 am
nope not me.......im giving AS and A2 math in june 2010

gd luck slvri ;) ;)
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 15, 2009, 02:51:48 pm: hey all hw was da paper?? =)
Title: Re: MATH AS QUESTIONS>>>
Post by: sanity_master on October 18, 2009, 03:31:39 pm: i got a question in M1

N 03.....#7 (IV)

i solved almost 3/4 of it....but the final part doesnt wanna get right....so would some1 plz solve IV
Title: Re: MATH AS QUESTIONS>>>
Post by: Ghost Of Highbury on October 18, 2009, 04:01:30 pm: Quote from: sanity_master on October 18, 2009, 03:31:39 pm
i got a question in M1

N 03.....#7 (IV)

i solved almost 3/4 of it....but the final part doesnt wanna get right....so would some1 plz solve IV
i can use my knowledge of physics and additional mathas to solve this.

first find the (t) where velocity of B is maximum
for this differentiate velocity and equate to 0

d/dx (0.06t - 0.00012t²) = 0.06 - 0.00024t

equate this to 0

0.06 - 0.00024t = 0
0.06 = 0.00024t
t = 0.06/0.00024 = 250s

now

at 250 seconds find the distance covered by B

for finding the distance integrate the velocity formula

<= integration symbol

<(0.06t - 0.00012t²) = 0.03t² - 0.00004t³ + c

when t = 0 ; s =0 therefore c = 0

so apply t=250 in the formula

s = 0.03t² - 0.00004t³

s = 1875 - 625 = 1250

-
now find the distance traveled by A

u gotta use the diagram for this.

first find the equation of the line AB for this .

u wud get the equation

y = 0.012x + 3.6

substitute x=250 here

y = 6.6

name this point C

find the area of the trapezium ACXY

u wud get the area(distance) as 855

now find the area of the triangle AXO = 240

thus, the total area (distance) = 240 + 855 = 1095

now 1250 - 1095 = 155m

hope that helped

find the diagram attached
Title: Re: MATH AS QUESTIONS>>>
Post by: astarmathsandphysics on October 18, 2009, 04:04:36 pm: $v_B=0.06t-000.12t^2$ so v is max when a=0 $0=a=\frac{dv}{dt} =0.06-0.00024 t$ so $t=\frac {0.06}{0.00024} =250$
$s_B =\int_0^250 0.06t-0.00012t^2 dt =[0.03t^2-0.00004t^3]_0^250 =[0,03*250^2-0.00004*250^3]-01250m$
Title: Re: MATH AS QUESTIONS>>>
Post by: astarmathsandphysics on October 18, 2009, 04:05:44 pm: Thanks. I was answering this but always happy when someone beats me tpo it.
Title: Re: MATH AS QUESTIONS>>>
Post by: sanity_master on October 18, 2009, 04:27:16 pm: really thank u guys......i did all wt u have done...the problem is about the slope of the equation adi.....my calculator is not getting the acceleration as 0.012

so would u plz show me hw to get that one....maybe i am missing something

nd Thanks again for the really hard work....:)
Title: Re: MATH AS QUESTIONS>>>
Post by: sanity_master on October 18, 2009, 04:29:13 pm: OMG>......fool me

i got wt im missing......small mistake

i forgot to subtract the 4.8 from the 7.2 :D LOL hahahahahha

silly mistake for an AL student :D hahaha

Thanks guys!!

really appreciate it.....ur the best!!
Title: Re: MATH AS QUESTIONS>>>
Post by: Ghost Of Highbury on October 18, 2009, 06:05:42 pm: Quote from: sanity_master on October 18, 2009, 04:29:13 pm
OMG>......fool me

i got wt im missing......small mistake

i forgot to subtract the 4.8 from the 7.2 :D LOL hahahahahha

silly mistake for an AL student :D hahaha

Thanks guys!!

really appreciate it.....ur the best!!

ahh..thats k..happens...and ur welcome.. :)
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 21, 2009, 08:33:32 am: GOOD LUCK ALL!...
PAY ATTENTION TO UR SILLY MISTAKES ;D :P
Title: Re: MATH AS QUESTIONS>>>
Post by: nid404 on October 21, 2009, 08:41:39 am: GOOD LUCK GUYS!!! DO WELL ;D
Title: Re: MATH AS QUESTIONS>>>
Post by: XaM!! on October 21, 2009, 08:43:52 am: can any1 provide me complete list of all formulas for p1??? plzzzz
Title: Re: MATH AS QUESTIONS>>>
Post by: Eamyzz on October 21, 2009, 09:28:32 am: it will b attached wid da exam paper :)
Title: Re: MATH AS QUESTIONS>>>
Post by: astarmathsandphysics on October 21, 2009, 09:36:55 am: Try this
Title: Re: MATH AS QUESTIONS>>>
Post by: sameer210394 on October 21, 2009, 09:29:38 pm: Quote from: astarmathsandphysics on October 21, 2009, 09:36:55 am
Try this

this thing is cool... Thanks
Title: Re: MATH AS QUESTIONS>>>
Post by: astarmathsandphysics on October 21, 2009, 09:38:56 pm: When I have a full set of notes up there will be summary sheets for each A level maths module