SKEMA PEMARKAHAN

PENILAIAN PERCUBAAN SPM NEGERI PAHANG 2017

MATHEMATICS 1449/2

SECTION A [52 MARKS]

Question

Mark Scheme

Sub Mark

Total Mark

1

(a)

(b)

Note : (M N) is correctly shaded award K1.

1

2

3

L

M

N

L

N

M

2

2

027382 xx

01321 xx

x = 21 or x = 13

The length of the paper = 21 cm

1

1

1

1

4

3

Volume of cone = 3

1 ×

7

22

× 142 × 48 ×

4

3

6

7392 or 1232

7

22

× 72 × t = 1232

8 cm

1

1

1

1

4

4

y = 3x or x + y = 60 4x = 60 OR

11

13

y

x =

60

0

y

x =

)1)(1()1(3

1

31

11

60

0 (2)

x = 15 y = 45

Note :

y

x =

45

15 award 1 mark

1

1

1

1

4

3

5

(a) Palsu / False

(b) Jika x2 1 = 8, maka x = 3 / If x2 1 = 8, then x = 3

Palsu / False

(c) Sudut pedalamannya bukan 108. / The interior angle is not

108.

(d) (4 × n2) n, n = 1, 2, 3, 4, ……..

1

1

1

1

1,1

6

6

(a) FAG

(b) tan FAG = 250

180 or equivalent

35.75 or 35 45’

1

1

1

3

7

(a) 360

270 × 2 ×

7

22 × 21 or

360

270× 2 ×

7

22 × 9

[360

270 × 2 ×

7

22 × 21] + 12 + [

360

270× 2 ×

7

22 × 9] + 12

1657

3 or 165.43 or

7

1158

(b) 360

270 ×

7

22 × 212 or

360

270×

7

22 × 92

[360

270 ×

7

22 × 212 ] [

360

270×

7

22 × 92 ]

8487

4 or 848.57 or

7

5940

1

1

1

1

1

1

6

4

8

(a) (A,N) (A,D) (A,S) (A,H) (C,N) (C,D) (C,S) (C,H) (K,N) (K,D) (K,S) (K,H) (F,N) (F,D) (F,S) (F,H) (b) (i) (A,H) (C,H)

16

2 or

8

1

(ii) (A,N) (A,D) (A,S) (C,N) (C,D) (C,S) (K,H) (F,H)

16

8 or

2

1

2

1

1

1

1

6

9

(a) y = 10

(b) y = 3

5x + c

10 = 3

5 (9) + c

y = 3

5 x 5

(c) Pintasan-y / y-intercept = 5

1

1

1

1

1

5

5

10

(a) 250A + 320B = 21600 280A + 310B = 22740

(b)

310280

320250

B

A =

22740

21600

B

A =

)280)(320()310)(250(

1

250280

320310

22740

21600

Grade A = RM48 Grade B = RM30

Note :

30

48 award 1 mark

1

1

1

1

1

5

11

(a) 17 minutes

(b) 8

1228

2 (c) [ ½ x (12 + 28) x 8] + [17 x 28] + [ ½ x (28 + V) x 15] = 1116 V = 36

1

1

1

2

1

6

6

Section B

Question

Mark Scheme

Sub Mark

Total Mark

12

(a)

x 2.5 2

y 19.2 24

1,1

(b) Refer to the graph.

Note:

1) if points are correctly marked on the graph. 2) the curve passes exactly through the points.

Graph :

Axes are drawn in the correct direction with uniform scale in

the range 3 x 4 and 48 y 48.

All 6 points and 2 points* are correctly marked

Smooth curve and continuously in range of 3 x 4 with no straight line part and passing through all the correct 8 points.

Note:

(i) 6 @ 7 points are correctly plotted, award 1 mark (ii) Other scale used, deduct 1 mark.

1

2

1

(c) (i) 12.5 ≤ y ≤ 14.5

(ii) 1.4 ≤ x ≤ 1.6

1

1

(d) Identify equation of Straight line correctly drawn

2.0 ≤ x ≤ 2.2 3.7 ≤ x ≤ 3.9

1

1

1

1

12

7

13

(a) (i) ( 6, 4)

(ii) ( 6, 1)

Note: Point (6, 1) award 1 mark

(iii) ( 10, 2)

Note: Point (6, 1) award 1 mark

1

2

2

(b) (i) (a) Y = Reflection in the line y = x

(b) X = Enlargement of scale factor 2 with centre (0,2).

(ii)

PQRS =

PQRS = 42

2

3

1

1

1

12

14

(a) (i)

1

2

1

Berat (kg) Mass (kg)

Kekerapan Frequency

Titik Tengah Midpoint

31 - 40 2 35.5

41 - 50 3 45.5

51 - 60 6 55.5

61 - 70 9 65.5

71 - 80 8 75.5

81 - 90 4 85.5

91 - 100 2 95.5

101 - 110 1 105.5

8

(ii)

12489632

)5.105(1)5.95(2)5.85(4)5.75(8)5.65(9)5.55(6)5.45(3)5.35(2

67.79

(b) Refer to the graph.

Uniform scales and correct axes, using class intervals, midpoints or

class boundries (30.5 x 110.5)

All *8 bars correctly drawn.

Histogram with 8 correct bars.

(c) Kelas mod / Modal class = 61 – 70

2

1

2

1

1

1

12

15

(a) (i) Correct shape with rectangle AFBCGD and a semicircle . All solid lines. JI > EF > FB Measurement correct to ± 0.2 cm (one way) and all angles

A, B, C and D = 900 ±10

1

1

2

I/H/D G C

B F J/E/A 3 cm

6 cm

5 cm

9

a) (ii) Correct shape with rectangle 8 cm x 3 cm and trapezium ABFE. All solid lines

AB = AJ > EF EJ Measurement correct to ± 0.2 cm (one way) and all angles 900 ±10

(except EFB & ABF)

1

1

1

8 cm

8 cm

5 cm

3 cm J/I

E/H F/G

B/C A/D

10

(b) Correct shape with rectangle BCGH and FGIJ. All solid lines Note : Ignore dashed lines. Dashed lines. BC = CG > GI Measurement correct to ± 0.2 cm (one way) and all angles 900 ±10.

1

1

1

2

12

16

(a) ( 30º N , 60º W) Note:

60º W award P2 OR 60o or ° W , award P1

3

B/A C/D

G/H

I J

F/E

6 cm

6 cm

4 cm 1 cm 1 cm

2 cm

11

(b) (90 30) x 60’ 3600 nautical miles

Note: 60 or ( 90 – 30 ) seen , award K1

(c) 60

4500

(75 – 30) or (30 – 75) 45o N

(d) 600

30 kos 60' x 50 4500

11.83

Note : (*50 x 60) ) or cos 30 award K1

2

1

1

1

1

2

1

12

12

y = 6x - 10

y=13.5

x=1.5 x=2.1

x=3.8 O 1 2 3 1 2 3

x

4

y

50

30

10

40

20

10

20

40

-30

50

X

X

X

X

X

X

X

13

Frequency

5

1

6

4

2

3

7

8

9

10

Mass (kg)

0

45.5 55.5 75.5 85.5 65.5 35.5 95.5 105.5