ppr maths nbk

SULIT 1449/2 1449 SULIT 1449/1 1449/1 Matematik Kertas1 Peraturan Pemarkahan Oktober 2007

SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH

KEMENTERIAN PELAJARAN MALAYSIA

PERATURAN PEMARKAHAN PEPERIKSAAN DIAGNOSTIK TAHUN 2007

TINGKATAN 4

MATEMATIK

KERTAS 1 & 2

1449/1

2

QUESTION ANSWER QUESTION ANSWER

1 B 21 C

2 D 22 B

3 D 23 D

4 B 24 D

5 B 25 C

6 A 26 D

7 D 27 A

8 B 28 D

9 A 29 C

10 A 30 A

11 B 31 A

12 D 32 C

13 B 33 C

14 C 34 B

15 C 35 A

16 A 36 C

17 A 37 B

18 D 38 D

19 A 39 C

20 B 40 A

3

Section A [ 52 marks ]

No Marking Scheme Marks

1

3,34

0)3)(43(012`53 2

=−=

=−+=−−

xx

xxxx

K1

K1

N1N1

4

2

231

1510151518961264

=

−===−=−=−

p

qporqqporqp

K1

K1

N1

N1

4

3

(a) False (b) Implication 1 : If 4m > 20, then m > 5 Implication 2 : If m > 5, then 4m > 20 (c) n + 4n2 , n = 1,2, 3, ….

P1

P1 P1

P1, P1

5

4

8 x 7 x 16

1627

27

722

21

××××

8 x 7 x 16 + 1627

27

722

21

××××

1204

K1

K1

K1

N1

4

5

(a) P′∩R′ (b) Q∩R∪P

P1 P2

3

4

No Marking Scheme Marks 6

Identify ∠EAD

Tan ∠EAD = 86

∠EAD = 36.87° or 36°52′

P1

K2

N1

4

7

(a) P(3,0)

(b) mPQ = 3033

++

= 2 (c) mRS = 2

206=

−−

xy

or equivalent

y = 2x + 6

P1

K2

N1

K1

K1

N1

6

8

(a) Antecedent : A triangle has two equal sides Consequent: It is an isoceles triangle

(b) If 2x > 25, then x > 5

(c) x is an angle in a semicircle (d) If M⊂ N, then M∩N = M

P1 P1

P1

P1

P1

7

9 (a)

51

(b) 73

= xx

++

102

x = 4

P1

K2

N1

4

10

(a) 77222

21

×××

14(4) + 77222

21

×××

78

(b) 77722

21

×××

K1

K1

N1

K1

5

No Marking Scheme Marks

1414722

41

×××

77722

21

××× + ( 14 X 14 − 1414722

41

××× )

119

K1

K1

N1

7

11

∠VPR or ∠VPT

22 86 + ( seen )

Tan ∠VPR = 55

∠VPR = 45°

P1

K1

K2

N1

5

Section B [48 marks]

No Marking Scheme Marks 12 (a)

Age (years) Frequency Cumulative frequency Upper boundary 10 – 14

0

( I ) 0

( II ) 14.5

15 - 19 10 10 19.5 20 – 24 20 30 24.5 25 – 29 50 80 29.5 30 – 34 60 140 34.5 35 - 39 36 176 39.5 40 - 44 18 194 44.5 45 - 49 6 200 49.5

All values in Column ( I ) correct excluding Row I correct. All values in Column ( II ) correct excluding Row I correct. (b) x-axis is drawn with the right direction and in uniform scale from 14.5 ≤ x ≤ 49.5 y-axis is drawn with the right direction and in uniform scale from 0 ≤ y ≤ 200 All eight points* plotted correctly. Note : Seven or six points* plotted correctly. 1 P1 (14.5, 0) plotted or passed through All the right eight points plotted correctly and ogive is drawn smoothly passing

through all the points. (c) (i) 35.5 – 27.5 8 – 9 (ii) 150 participants aged 35.5 ± 0.5

P1 P2

K1

K1

K2

K1 N1

K1 N1

N1

12

13