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Form Four

Additional Mathematics

Paper 2

October 2011

SEKOLAH MENENGAH SAINS TELUK INTAN

PEPERIKSAAN DIAGNOSTIK TINGKATAN 4 2011

ADDITIONAL MATHEMATICS

Form FourPaper 2

Marking Scheme

.

This marking scheme consists of 11 printed pages.

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No. Solution Marks

1 y = 2x3

2x - 10x + (2x3) + 9 = 0

(x1)(x3) = 0

x= 1 , 3

y= -1 , 3

K1

K1

K1

N1

N15

2 (a)

(b)

k= , = - m= 2

y

6

x 3-

Range :

K1

N1

K1

N1, N1

N1

Shape of

graph

N1

(0 , 6), ( ,-)

and (3,0)

N1

8

3 7 or k

(+3)(+3) = m or 259)(3

6 m 16)7(3

k = = -5

-5 = m6

m = 1

K1

K1

K1, K1

N1, N1

6

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CONFIDENTAL 3 3472/2

[See overleaf]

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4 or n= 5

96)2(5 k

k= 3

P1

K1

K1

N1

K1

N1

6

5 (a)

(b)

x =

= 30

22 3015

13635

= 9

and m = 3, n = 7

K1

N1

K1

N1

K1, K1

N1, N1

8

6 (a)

(b)

(c)

= - 1.5

342

pdx

dy

2)10(3

12

x

= -0.008

K1

N1

K1

K1

N1

K1

N17

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7 (a)

(b)

(c)

4)1()1( baf

2)1()1( baf

a = 3 dan b = 1

Let yxf )(1 xyf )(

3

1y

x

3

1

)(1

x

xf

2

2313

xxg

3

113

y

xxy

2

13

13

)(

y

yg

2)(

xxg

2)4( g

K1

K1

N1, N1

K1

N1

K1

N1

N1

N1

10

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CONFIDENTAL 5 3472/2

[See overleaf]

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8 (a)

(b)

(c)

Midpoint ofAB

= =

=

=

15

2APm dan

2

15PRm

10

5

8

15

2

x

y

5

8

2

15 xy

K1

K1

K1

N1

K1

K1

N1

K1

K1

N1

10

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9 (a)

(b)

(c)

Uniform scale

All bars are correctly drawnMode = 46.5

23.98

40.5

45.12

K1

K1N1

K1

K1

K1

N1

P1

K1

N1

10

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CONFIDENTAL 7 3472/2

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10 (a)

(b)

(c)

(d)

CT = 18 cm

= 71.57= 1.249 rad

= 5.791 cm

= 7.494 cm

= 18.9737 cm

BT= 18.97376= 12.9737 cm

38.47 cm

K1

N1

K1

N1

K1

N1

K1

K1

K1

N1

10

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11 (a)

(b)

cm

K1

K1

K1

N1

N1

K1

K1

K1

K1

N1

10

12 (a)

(b)

(c)

(d)

K1

N1

K1, P1

N1

K1

N1

K1

K1

N1

10

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13 (a)

(b)

(c)

(d)

= 19.5957 cm

= 14.6968 cm

K1

N1

K1

K1

N1

K1

N1

K1

K1

N1

10

14(a)(i)

(ii)

(b)(i)

(ii)

K1

N1

K1, K1

N1

K1, K1

N1

K1

N1

10

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15 (a)

(b)

(c)

(d)(i)

(ii)

= 105.5

= 137.15

K1

N1

K1

N1

K1, K1

N1

N1

K1

N1

10

END OF MARKING SCHEME