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Practice Series 1 2009ADDITIONAL MATHEMATICS PAPER 1

TIME: 1 HOUR

Name:

Anser all !"esti#ns

1$ %2: + xxg & 'in( )*1 xg

Anser: $$

2$ An arit+metic ,r#-ressi#n +#se 'irst term is ./ +as a c#mm#n (i''erence %$ List#"t t+e 'irst '#"r terms #' t+e arit+metic ,r#-ressi#n$

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%$ E,ress 1)2* =+ xxax & 0a & in t+e -enera '#rm #' t+e !"a(ratic e!"ati#n$

Anser : $$

3$ Dia-ram s+#s t+e c"r4e qpxxf ++= 2)*)* +ic+ intersects t+e .ais at t+e

,#ints *1& 0) an( *%& 0)$ 5in( t+e 4a"e #'p andq

Anser :p:$$$

Anser : q:$$$

2M

2M

2M

3M

*1& 0) *%& 0)

6

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$ 7i4en k=#-2 & e,ress 10#-2 in terms #' k$

Anser : $$

8$ 7i4en )82*2 += xy & 'in( t+e 4a"e #'dx

dy+enx 1

Anser : $$

/$ S#4e 2$02 1 =x

Anser : $$

$ S#4e t+e !"a(ratic e!"ati#n )2)*1*)3*2 += xxxx

Anser : $$

9$ 7i4en ,#ints L*/&) an( M*

%& )$ I' ,#int P*x, y) (i4i(es t+e ine LM interna6

in t+e rati# 2 : %$ Determine t+e c##r(inates #' ,#int P$

Anser: $$

%M

%M

2M

2M

2M

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10$ Cac"ate 2

1

2 )%* dxxx

Anser : $$

11$ Dia-ram s+#s a !"arter #' a circe it+ centre O$ 7i4en 3OP %OA an( en-t+#' arc A; 3 & cac"ate:

i) t+e en-t+ #' ;Pii) T+e area #' t+e s+a(e(

re-i#n in terms #'

Anser : $$

12$

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