SULIT 1449/2(GMP) 1449/2(GMP) SKEMA PRAKTIS...

SULIT 1449/2(GMP)

1449/2(GMP)

Mathematics

Kertas 2 ( Set 1 )

Peraturan

Pemarkahan

2017

SKEMA PRAKTIS BESTARI

PROJEK JAWAB UNTUK JAYA (JUJ) 2017

MATHEMATICS

Kertas 2

SET 1

PERATURAN PEMARKAHAN

UNTUK KEGUNAAN GURU MATA PELAJARAN SAHAJA

Peraturan pemarkahan ini mengandungi 13 halaman bercetak

[Lihat halaman sebelah

1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT

SULIT 2 1449/2(GMP)

Question Solution and Mark Scheme Marks

1(a)

(b)

P1

P2

3

1449/2(GMP) © 2017 Hak Cipta JUJ Pahang

L

K M

K L

M

SULIT 3 1449/2(GMP)


2

(3x + 2)2 = ½ (4x + 8)4x

x2 － 4x + 4 = 0

(x – 2)(x-2)

Perimeter = 32

K1

K1

KI

N1

4

3

p + 2q = - 9 ------------ (1)

(1) × 5

5p + 10q = - 45 ------------ (2)

5p - q = - 1 ------------ (3)

(2) - (3),

11q = -44

q = - 4

5p + 4 = - 1

5p = - 5

p = -1

∴ p = -1, q = - 4

K1

K1

N1N1

4

[ Lihat halaman sebelah


SULIT 4 1449/2(GMP)


4 (a) ∠SVR

(b) tan ∠SVR =

11

9

∠SVR = tan−1 11

9

= 39.29° or 39o 19’

P1

K1

N1

3

5

3

4m

C )1(3

48 or C )5(

3

40

C = 3

20

3

20

3

4 xy

DF = 6 unit or DE = 8 unit or EF = 10 unit

Coordinate of point G is (5, 10)

P1

K1

K1

K1

N1

5

6

= 6 × (10 × 3 × 2)

= 360 𝑐𝑚3

= 4

3

22

7× 0.53

= 0.52

= 40 0.52

= 20.8

= 360 𝑐𝑚3 20.8

= 17.31 17 necklaces

K1

K1

K1

N1

4


SULIT 5 1449/2(GMP)


7

(a) i. True

ii. False

(b) Implication 1 : If 15x > 45 then x > 3

Implication 2 : If x > 3 then 15 x > 45

(c) ABCD is a trapezium

P1

P1

P1

P1

P1

5

8. m = 5 , k = -9

(4 39 8

) (𝑥𝑦) = (

611

)

(𝑥𝑦) =

1

4(8) − 3(9)(

8 −3−9 4

) (6

11)

(𝑥𝑦) = (

3−2

)

𝑥 = 3 𝑦 = −2

P1,P1

P1

K1

N1N1

6

9.

)7()7

22()2(

2

1)14()

7

22()2(

360

240or

)7()7

22()2(

2

1)14()

7

22()2(

360

24014

= 94.67

)14)(14()7

22(

360

240 or )7)(7()7

22(

2

1

)14)(14()7

22(

360

240 )7)(7()7

22(

2

1

= 333.67

K1

K1

N1

K1

K1

N1

6



SULIT 6 1449/2(GMP)


10

(a) (E,2) (E,0) (E,1) (E,7) (X,2) (X,0) (X,1) (X,7) (A,2) (A,0) (A,1)

(A,7) (M,2) (M,0) (M,1)(M,7)

(b) (i) (E,2) (A,2)

1

8

(ii) (E,1) (E,7) (X,1) (X,7) (A,1) (A,7) (M,2) (M,0) (M,1) (M,7)

5

8

P2

K1

N1

K1

N1

6

11 (a) 8 – 5 = 3

(b) 05

050

= 10

(c) 105050

k

k = 10

P1

K1

N1

K1

N1

5


SULIT 7 1449/2(GMP)


12

(a)

(b)

(c)

(d)

Graph

Axes are drawn in the correct direction, uniform scale for

-5 x 3.

7 points and 2 points* plotted accurately

Smooth and continuous curve without straight line(s) and

passes through all the 9 correct points for -5 x 3.

(i) 6 < y < 8

(ii) 2.6 < x < 2.7, -3.0 < x < -3.1

Note: Do not accept the values of x and y obtained by calculation

The straight line y = 7x + 30 drawn correctly

Identify the equation y = 7x + 30 or equivalent award K1

The value of x: -2.9 < x < - 2.7

x -3.5 0.5

y 23.25 - 8.75

P1P1

P1

K2

N1

P1

P1P1

K2

N1



12

SULIT 8 1449/2(GMP)


13(a)

(i)

(ii)

(b)(i)

(ii)

( 0, - 2 )

( 4 , - 1 )

( 6 , 2 ) seen or plot on graph award K1

M : Rotation 900 , anticlockwise, at ( 0, - 3 )

N : Enlargement with scale factor 3 at centre E

( 32 x 35 ) - 35

280 m2

P1

P2

P3

P3

K2

N1

14.

(a)

(b)

Column I Column II Column III

Weight

Berat

Midpoint

Titik tengah

Frequency

Kekerapan

30 – 39 34.5 2

40 – 49 44.5 6

50 – 59 54.5 7

60 – 69 64.5 10

70 – 79 74.5 8

80 – 89 84.5 4

90 – 99 94.5 3

Column I (all class interval correct)

Column II (all midpoint correct)

Column III (all frequency correct)

40

)3(5.94)4(5.84)8(5.74)10(5.64)7(5.54)6(5.44)2(5.34

64.50

P1

P1

P2

K2

N1


12

SULIT 9 1449/2(GMP)


(c)

(d)

Refer graph:

Axes drawn in the correct directions with uniform scales,

for 29.5 ≤ x ≤ 99.5 and 0 ≤ y ≤ 10.

Horizontal axis labelled by using upper boundary ormidpoint or class

interval and 7* bars drawn correctly

Histogram drawn correctly

Note :

1. 5 or 6 bars drawn correctly award K1

2. Other uniformed scales used award N0.

The modal class is 60 – 69 or

any correct information about the weight of meat sold each day.

P1

K2

N1

K1

15

(a)

The shape must be correct. All lines must be fully drawn.

Measurement must be accurate to 0.2 cm and all angles = 90o 1

*Note: The shape is correctly drawn award 1 m

K1

K1

N1



12

6 cm

T/S X/R

U/P V

Y/Q

2 cm 2 cm W

X/W Y/I

R/S

H/E G/F

Q/P

V

U T

2 cm

3 cm

1 cm 4 cm

6 cm

SULIT 10 1449/2(GMP)


(b)(i)

The shape must be correct. All lines must be fully drawn.

Measurement must be accurate to 0.2 cm and all angles = 90o 1


(ii)

The shape must be right with the rectangles. All lines included the dotted

lines must be shown completely.

Measurement must be accurate to 0.2 cm and all angles at rectangle

vertex = 90o 1


K1K1

N2

K1K1K1

N2


V/I/W Y/X

G/H

Q/R P/S

F/E

U/T 4 cm

1 cm

4 cm

3 cm

2 cm

12



16

(a)

(b) R(46oU , 110oT)

(c) (i) (70 +110) 60 kos 46 + 2760

10262.3

(ii). 600

3.10262

17.10

P1 P1

P1

P1P1P1

K1K1K1

N1

K1

N1

[Lihat Sebelah


P

Q R

12



y

x

60

50

40

30

20

10

0

-10

-20

-30

-40

-5 - 4 - 3 - 2 - 1 1 2 3


Question 14 Histogram

34.5 44.5 54.5 64.5 74.5 84.5 94.5

94.5

1

2

3

4

5

6

7

8

9

10

0

Frequency

Weight

SULIT 1449/2(GMP) 1449/2(GMP) SKEMA PRAKTIS...

Documents

Transcript of SULIT 1449/2(GMP) 1449/2(GMP) SKEMA PRAKTIS...