PracticeTest 3 2009

Practice Series 3 2009ADDITIONAL MATHEMATICS 2

TIME : 1 HourAnswer all questions :

Section A

1.Solve the simultaneous equations

[ 5 marks ]

2.A curve with gradient function , where k is a constant . If the curve

has a turning point at ( 1, 2 ), finda) The value of k.

[ 3 marks ]

b) Find the equation of the curve. [ 5 marks ]

3.Sketch the curve for.

[ 3 marks ]

Using the same axis, sketch a suitable line and hence state the number of solutions for the equation for.

[ 2 marks ]

Section B

4.Table below shows the values of variables x and y obtained from an experimentx12345

y8.43.41.70.90.4

It is known that x and y are related by the equation with h and k are constants. a)Plot a graph of y against using a scale of 2 cm to 0.2 unit on the -axis and 2 cm to 1 unit on the y-axis. Hence, draw the line of best fit

[ 5 marks ]

b) From your graph , findi) The value of h and k.ii) The value of y when x= 1.8.[ 5 marks ]5. OAB is a triangle where and. Point C is the mid point of and

D lies on AB such that

(a) Find in terms of and.

(b) Given that and, find in terms of

i. m, and .

ii. n, and .

Hence, find the values of m and n.

Section C

6.Table below shows the price indices and the weightages of four ingredients P, Q, R, and S which are used in the manufacturing of a type of chocolates.IngredientPQRS

Price index in 2005 based on 2000x120150220

Weightage4235

(a) Given the price of P in the year 2000 and 2005 are RM 8 and RM 15.20

respectively, find the value of x.

(b) Find the price of R in the year 2005 if its price in the year 2000 is RM 12.00

(c) find the price index of S for the year 2005 based on the year 1998 if its price index for the year 2000 based on 1998 is 110.

(d) Find the composite index for the year 2005 based on the year 2000.

7. R

P 1100 720

14 cm

Diagram above shows a quadrilateral ABCD. Calculate(a) The length of RQ(b) Angle SQR(c) The area of quadrilateral PQSR.

ANSWERS

1.

EMBED Equation.DSMT4 2. a) k = -2

b)

3. Number of solutions = 3

4.

ii) y = 4

5.

6. a) x=190

b) RM18

c) 242

d) 182.14

7. a) 19.793

b) 23.80 c) 148.48

Q

S

8.4 cm

10 cm

A

B

O

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