8/15/2019 Linear Law p1

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smktt/sc&math department/addmath/2010

ADDITIONAL MATHEMATICS

PAST YEAR QUESTIONS

LINEAR LAW : PAPER 1

SPM 2003 P 1 Q10

x and y are related by the equation 2 y px qx= + , where p and q are constants. A straight line is

obtained by plotting y

 x against x, as shown in the diagram below.

alculate the !alues o" p and q. #4 marks $ #p% 2, q %1'$

SPM 2004 P1Q13

(iagram below shows a straight line graph o" y

 xagainst x

)i!en that y% *xx

2

, calculate the !alue o" k  and h #3 marks$#h%', k%+$

SPM 2005 P 1 Q13

he !ariables x and y are related by the equation y%k x+, where k is a constant.

-a on!ert the equation y%k x+ to linear "orm.

-b (iagram below shows the straight line obtained by plotting log10y against log10x

ind the !alue o" 

-i log10 k 

-ii h #4 marks$ #', 11$

-2,

 -*,1

 

x0

 -2, k

 -h, '

 

x0

 -2, h

 

-0, ' 

10log   x0

8/15/2019 Linear Law p1

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smktt/sc&math department/addmath/2010

SPM 2006P1 Q11

 

he "irst diagram shows the cur!e y % ' x2. he second graph shows the straight line graph

obtained when  y % ' x2  is expresses in the linear "orm Y %  X c. 3xpress X  and Y  in terms o" a

and/or y  #3 marks$ # X %/2 x2, Y %'/ y]

SPM 2007 P1 Q12

 he !ariables x and y are related by the equation y2%2x-10x.

A straight line graph is obtained by plotting2 y

 xagainst x

ind the !alue o" p and o" q #3 marks$ #10,1+$

SPM2008 P1 Q12

he !ariables x and y are related by the equation y % x

k 

2, where k  is a constant. (iagram below

shows the straight line graph obtained by plotting log10 y against x.

-a 3xpress the equation y % x

k 

2,in its linear "orm used to

obtain the straight line graph shown in the diagram

abo!e.-b ind the !alue o" k   #+ marks$

 #log10 y% xlog10 log10k , 0.01$