PROGRAM LONJAKAN SAUJANAPPD TAMPIN 2011UJIAN DIAGNOSTIK ADDITIONAL MATHEMATICSSCHEME OF WORKS / SKEMA JAWAPANPAPER 1NOSOLUTIONPENYELESAIANMARKSMARKAHTOTAL

1a)5 11 3 5

0 1b)one to one or 1 1112

2(a) 33

(b) x = 0, x = -2 x(2x + 4) = 01

2

B1

3

3p = 12 and k = 3xx 12 = 0 or x = 4 or x = 3(3) 2 + 3 = p3B2B1

3

4xx 16 = 0 and a = 1 , b = 2 , c = 3xx 16 = 0 or a = 1 , b = 2 , c = 32x + 7 = (x + 3 )(x 3)

3B2B1

3

5a =

b = 4c = 81113

6 < x < 7

or equivalent

7(2x 7 )( x + 3)

3B2B1

7 x = 3

3(3x 1) = 2(5x)

(33) 3x 1 or (32) 5x3

B2

B13

8

3

B2

B13

9 or equivalent

2

B12

10 h = 26, h = 22 (both)

h = 26or h = 22

or

| 12 + 7h + 30 (5h + 18 + 28) | = 48 or

| 2h 4 | = 48

3

B2

B13

11(a)

(b) 6.325

1

2

B13

12

or

4

B3

B2

B14

1343.29 cm

310 3

B2

B1

3

14.2 cm2

Area of shaded region = 8.575 4.375Area of OPS = 4.375 cm2

OR

Area of OQR = 8.575 cm23

B2

B1

Either one

3

1532

= 4 [4 -2]3 (1)

= 4( x 2 )3(1)

3

B2

B1

3

16 0.12

6 = 8x 2

= 8(1) - 2

= 63

B2

B1

3

17y = x + 2 or x = y 2xx ( x + 2) = 4 or equivalent( x 3) ( x + 2) = 0 or equivalentx = 3, 2 or y = 5 , 0y = 5 , 0 or x = 3, 2 P1K1K1N1N1

5

18

(a)

(b)

(c)

(d)

18 = (8)(6) sin QRS

sin QRS = 0.75

QRS = 48.59

QS2 = 82 + 62 2(8)(6) cos 48.59

QS = 6.04

sin QPS = 0.701

QPS = 44.53

PQS = 180 49 44.53

= 86.47

Area of PQRS = 18 + (6.04)(6.5) sin 86.47

= 18 + 19.59

= 37.59 cm2

K1

N1

K1

N1

K1

K1

N1

K1

K1

N1

10

19

(a)

150 = x = RM 3.00

y = = 110

K1

N1

P1

(b) = = 120.97

K2

N1

(c) = RM 54.44

K1

N1

(d)I = = 151.21

K1

N110

_1359485059.unknown

_1359485063.unknown

_1359485067.unknown

_1359485069.unknown

_1359485070.unknown

_1359485071.unknown

_1359485068.unknown

_1359485065.unknown

_1359485066.unknown

_1359485064.unknown

_1359485061.unknown

_1359485062.unknown

_1359485060.unknown

_1359485055.unknown

_1359485057.unknown

_1359485058.unknown

_1359485056.unknown

_1359485053.unknown

_1359485054.unknown

_1359485052.unknown