SKEMA PEMARKAHAN PEPERIKSAAN PERCUBAAN SPM 2012

MATHEMATICS 1449/2

SECTION A [52 MARKS]

Question Mark Scheme Sub Mark

Total Mark

1

Dotted line y = 6 drawn

Region shaded correctly

Note: Award 1 mark for the shaded region without dashed line

1

2 3

2 (a)

(b)

WUS or SUW

tan WUS = or equivalent

30.96o or 30 58 /

1

1

1 3

3

x = or 2 or 2.67

x = − 1

1

1

1

14

4. 2v + 8w = 4 or v = 2 – 4w or any equivalent

11w = 11 or any equivalent

w = 1

v = 2 OR

1

1

1

1

4

5.

×(14+12) × 7 × 8

× × 3× 3 × 6

×(14+12) × 7 × 8 – × × 3× 3 × 6

671 or 671.43 or 671.4

1

1

1

1

4

6. (a) True / Benar 1

2

(b)

(c)

Implication 1 : If p3 > – 8, then p > – 2 Implikasi 1 : Jika p3 > – 8, maka p > – 2

Implication 2 : If p > – 2, then p3 > – 8 Implikasi 2 : Jika p > – 2, maka p3 > – 8

Note: Do not accept ‘than’ (spelling)

3n2 + 1 n = 1, 2, 3, …

1

1

1

1 5

7 (a)

(b)

3

– 6 = 3 (3) + c ( seen m =3)c = – 15y = 3x – 15

3x – 15 = 0 x-intercept = 5

1

1

1

1

1 5

8(a)

(b) (i)

(ii)

{(A,7),(A,6),(A,9),(A,4),(F,7),(F,6),(F,9),(F,4),(P,7),(P,6), (P,9),(P,4)}

{(P,7),(P,9)}

{(A,7), (F,7),(F,6),(F,9),(F,4),(P,7)}

P1 +P1

P1

N1

P1

N1 6

9 (a) × 2 × × 14 or × 2 × × 7 1

3

(b)

14 + × 2 × × 14 + × 2 × × 7

65 or 65.33

× × 14 × 14 or × × 7 × 7

× × 14 × 14 – × × 7 × 7

128 or 128.3 or 128.33

1

1

1

1

1 610 (a)

(b) (i)

(ii)

(c)

1 hour

7.42 pm

70

48

1

1

1

1

15

11 (a)

(b)

(i) k = 3

(ii) –

Nota : 2(– 2) – 3(1) dilihat berikan P1

atau setara

Nota : Jawapan berikan N1

P1

P2

K1

K1

N1N1

7

Section B

Question Mark Scheme Marks

4

12 (a) x 1.2 4y – 40 – 12

1

1

(b)

Axes drawn in the correct directions with uniform scales. All 7 points and *2 points correctly plotted or curve passes through

all the points. (7 or 8 points correctly plotted award 1 mark). 2 smooth and continuous curve without any straight line passes

through all 9 correct points using the given scales.

12

2

(c) (i) ii)

(d)

Identify equation of y = – 2x + 7

Straight line y = – 2x + 7 correctly drawn

11

1

11

12

Question Mark Scheme Marks

5

13(a) (i)

(ii)

(– 2, 6) , (0,10)

Note: Point (– 2, 6) or (0, 10) award 1 mark

( – 4, – 2) , (– 2,2)

Note: Point ( – 4, – 2) or (– 2, 2) award 1 mark

2

2

(b)

(i)

(ii)

Y = Reflection in line PS

X = Enlargement of scale factor 3, at centre (3, 3)

Note: Do not accept wrong spellings for reflection and enlargement.

2

3

(c) 32 25.4 – 25.4

203.20 unit²

2

1

12

Section B

Question Mark Scheme Marks

6

14 (a)Age (years)

Umur (Tahun)Midpoint

Titik tengahFrequencyKekerapan

11 – 15 13 616 – 20 18 921 – 25 23 526 – 30 28 531 – 35 33 236 – 40 38 641 – 45 43 2

1

1

1

(b)

(c)

16 – 20

Mean =

= 25

1

2

1

(d)

(e)

Axes drawn in the correct directions with uniform scales.

All 7 points correctly plotted Point (8, 0) and (48, 0) correctly plotted All the 7 points starting from (8, 0) until (48, 0) are connected

correctly with straight lineGraph Frequency Polygon

15

1

2

1

1

12

Question Scheme of marks Marks15 (a) Elevation X:

7

The shape must be right. All lines must be fully drawn. 3

2 cm

2 cm

6 cm

5 cm

5 cm

D

A

KN

QP

Measurement must be accurate to 0.2 cm and all angles = 90o 1 Note: The shape is correctly drawn award 1 mark

(b)(i) Plan:The shape must be right . All lines must be fully drawn. 4

E

U

K D

S

RQ

P

3 cm

2 cm

2 cm

2 cm

2 cm

Measurement must be accurate to 0.2 cm and all angles at rectangle vertex = 90o 1 Note: The shape is correctly drawn award 1 mark

(b) (ii) Elevation Y:The shape must be right with the rectangles. All lines included the dotted 5

8

lines must be shown completely.

G F

CE

MN

WZ

RQ

DA

3 cm

5 cm

1 cm

1 cm

1 cm2 cm

2 cm

5 cm

Measurement must be accurate to 0.2 cm and all angles at rectangle vertex = 90o 1 Note: The shape is correctly drawn award 1 mark

12

Question Scheme of marks Marks16.(a)

(b)

(c)

(d)

(45º U, 80º B) / (45º N, 80º W)

– 45

40º U / 40º N

Penggunaan kos 45 70 60 kos 45 = 2969.85 n.m

Nota : Terima jawapan dalam julat 2969.8 – 2970

(50 + 45) 60

= 8.51 hours

P1P1

K1

K1

N1

P1K1N1

K2

K1

N1 12

9