(b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN...

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SKEMA PEMARKAHAN MODUL KECEMERLANGAN AKADEMIK TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A [52 MARKS] Question Mark Scheme Sub Mark Total Mark 1 (a) (b) Note : Q’ P is correctly shaded award K1. 1 2 3 2 0 891 6 2 x x 0 33 27 x x x = 27 x = − 33 Area of the hall = 616 m 2 Note : Do not accept any other method. 1 1 1 1 4 P Q R P Q R

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Page 1: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

SKEMA PEMARKAHAN

MODUL KECEMERLANGAN AKADEMIK

TINGKATAN 5 PERTENGAHAN TAHUN 2017

MATHEMATICS 1449/2

SECTION A [52 MARKS]

Question

Mark Scheme

Sub Mark

Total Mark

1

(a)

(b)

Note : Q’ P is correctly shaded award K1.

1

2

3

2 089162 xx

03327 xx

x = 27

x = − 33

Area of the hall = 616 m2

Note : Do not accept any other method.

1

1

1

1

4

P

Q

R

P

Q

R

Page 2: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

2

3

24 × 8

3

1× 10 × 8 × 9

24 × 8 + 3

1× 10 × 8 × 9

432 cm2

1 1 1 1

4

4

48x + 35y = 821 or x y = 5 or equivalent 83x = 996 or 83y = 581 or equivalent OR

x =48

35821 y or y =

35

48821 x or

x = 5 + y or y = x 5 or equivalent. (1) 83x = 996 or 83y = 581 or equivalent (1) OR

5

821

11

3548

y

x (1)

5

821

481

351

)35(1)1(48

1

y

x (1)

x = 12 y = 7

Note : If

7

12

y

x award 1 mark

1 1 1 1

4

Page 3: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

3

5

(a) (i) False / Palsu (ii) True / Benar

(b) {1, 4, 9} {2, 3, 5, 7} = dan (A B) A

(c) Set R have 4 elements / Set R mempunyai 4 unsur.

(d) 73

7

22

2

1 2

99

1 1 1 1 1 1

6

6

(a)

(b) Identify EBA

tan EBA = 9

13 or equivalent

55.30 or 55 18’

1 1 1 1

3

7

(a) 360

50 × 2 ×

7

22 × 7 or

360

130× 2 ×

7

22 × 14

360

50 × 2 ×

7

22 × 7 + 7 + 2(

360

130× 2 ×

7

22 × 14) + 14 + 14 + 7

1113

2 or 111.67 or

3

335

1

1

1

A

B

C

D

E

9 cm

Page 4: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

4

(b) 360

50 ×

7

22 × 7

2 or

360

130×

7

22 × 14

2 or

360

130×

7

22 × 7

2

360

50 ×

7

22 × 7

2 +

360

130×

7

22 × 14

2

360

130×

7

22 × 7

2

1889

2 or 188.22 or

9

1694

1

1

1

6

8

(a) (E,G) (E,M) (E,F) (S,G) (S,M) (S,F) (M,G) (M,M) (M,F) (b) (i) (E,G) (E,M) (E,F) (S,G) (S,M) (S,F)

3

2

(ii) (E,M) (S,M) (M,G) (M,M) (M,F)

9

5

1 1 1 1 1

5

9

(a) y = 6

(b) y = 2

3x + c

– 3 = 2

3 (8) + c

y = 2

3 x + 9

(c) 0 = 2

3 x + 9

U(6 , 0)

1 1 1 1 1 1

6

Page 5: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

5

10

(a) )75)(15()40)(30(

1

3075

1540

75

1

3075

1540

(b)

4075

1530

y

x =

425

165

y

x =

)75)(15()40)(30(

1

3075

1540

425

165

x = 3 y = 5

Note :

5

3 award 1 mark

1 1 1 1 1 1

6

11

Dotted line y = 7 drawn.

Region shaded correctly.

1 2

3

y = x

y

x 0

x + y = 7

Page 6: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

6

Section B

Question

Mark Scheme Sub

Mark

Total

Mark

12

(a)

x – 3 2

y 11 – 14

1

1

(b)Rujuk graf

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 −4 x 3.5 and -46 y 46.

All 6 points and 2 points* are correctly marked

Smooth curve and continuously in range of -4 x 3.5 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) 8 ≤ y ≤ 10

(ii) 3.0 ≤ x ≤ 3.2

1 1

(d) Identify equation of 53 xy

Straight line 53 xy correctly drawn

4.22.2 x

1 1 1

12

Page 7: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

7

13

(i) (1, 4)

Note: Point (1, 6) award 1 mark

(ii) ( –3, 6)

Note: Point (4, 7) award 1 mark

2

2

(b)

(i) (a) U = Pantulan pada garis x=1

(b) V = Pembesaran, faktor skala 2, pusat pembesaran (6, 3)

(ii) 2245

2245 – 45

135

2

3

1

1

1

12

14

(a) 31

(b) (i)

(c) (ii) 410985310

)47(4)42(10)37(9)32(8)27(5)22(3)17(1)12(0

35.375

1

1

2

1

2

1

Umur (tahun)

Ages (year)

Kekerapan

Frequency

Titik Tengah

Midpoint

10 – 14 0 12

15 – 19 1 17

20 – 24 3 22

25 – 29 5 27

30 – 34 8 32

35 – 39 9 37

40 – 44 10 42

45 – 49 4 47

Page 8: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

8

(d) Rujuk graf

Axes drawn in the correct directions with uniform scales.

All 9 points correctly plotted.

Point (12, 0) and (47, 0) correctly plotted.

All the 9 points starting from (12, 0) until (52, 0) are

connected correctly with straight line.

1

1

1

1

Page 9: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

9

15

(a) Correct shape with rectangle DCRS and SRLM. All solid lines DM>DC>DS Measurement correct to ± 0.2 cm ( one way ) and all angles 900 ±10

1 1 1

3

2 cm

5 cm

M/J L/K

H/E G/F

D/A C/B

6 cm

6 cm

Page 10: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

10

(b)(i) Correct shape ADHEMJ and semicircle AJ>AB=ES>EH>DH Measurement correct to ± 0.2 cm ( one way ) and all angles

J, A, D and H = 900 ±10

1 1 2

4

2 cm

7 cm

3 cm

2 cm

6 cm

M/L J/K

E/F H/G

S/R

A/B D/C

Page 11: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

11

(b)(ii) Correct shape with rectangle KRSJ and KFEJ. All solid lines Note : Ignore straight lines GH Dashed line GH JS>JK>EH=DS>JM>ME Measurement correct to ± 0.2 cm ( one way ) and all angles 900 ±10

1 1 1 2

5

K/B R

S J/A M E H/D

L F G/C 2 cm 1 cm 3cm 3cm

6 cm

Page 12: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

12

O -1 2 3 1 -2 -3

x

4

y

50

30

10

40

20

-10

-20

-4

-40

-30

y = 3x + 5

-50

y = - x3 + 2 x - 10

Page 13: (b) P - MPSM Pahangmpsmpahang.com/Download/Matematik T5 Kertas 2.pdf · TINGKATAN 5 PERTENGAHAN TAHUN 2017 MATHEMATICS 1449/2 SECTION A ... Sub Mark Total Mark 1 (a) (b) P Note is

13

N0 14

SOALAN 15

Frequency

5

1

6

4

2

3

7

8

9

10

Marks

0

22 27 37 42 32 17 12 47 52