mathematics 1 & 2 answer scheme (perak's pmr trial 2012)

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SULIT JABATAN PELAJARAN PERAK PEPERIKSAAN PERCUBAAN PMR TAHUN 2012 MATHEMATICS 50 Ogos 2012 MATHEMATICS PERATURAN PEMARKAHAN

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Page 1: Mathematics 1 & 2 Answer Scheme (Perak's PMR Trial 2012)

SULIT

JABATAN PELAJARAN PERAK

PEPERIKSAAN PERCUBAAN PMR TAHUN 2012MATHEMATICS 50Ogos2012

MATHEMATICS

PERATURAN PEMARKAHAN

Page 2: Mathematics 1 & 2 Answer Scheme (Perak's PMR Trial 2012)

ANSWER MATHEMATICS PAPER 1

1 C 21 A

2 C 22 C

3 B 23 A

4 C 24 B

5 B 25 A

6 D 26 D

7 D 27 A

8 B 28 D

9 C 29 A

10 B 30 B

11 C 31 B

12 C 32 B

13 C 33 C

14 A 34 A

15 A 35 B

16 B 36 B

17 B 37 D

18 C 38 C

19 A 39 B

20 A 40 D

Page 3: Mathematics 1 & 2 Answer Scheme (Perak's PMR Trial 2012)

MARKING SCHEME MATHEMATICS PAPER 2

No Solution and Mark Scheme Sub

Mark

Full

Mark

or 2

K1

N1 2

2 0.075 or

68.78

K1

N1

2

3(a)

(b)

4 – ( − )

or 5 or 5.5

N1

K1

N1 3

4(a)

(b)

−22

3x – x = 7 + 3 or – 3 – 7 = x – 3x

x = 5

N1

KI

NI3

5 Image A’B’C’ correctly drawn

Note :1. Award N1 :

Any one side drawn correctlyOrCorrect image drawn using dotted linesOrCorrect image drawn by sketching

2. Ignore label

3. Accept gap or extension square grid

4. More than 1 image drawn, deduct 1 mark from N2 mark.

N2 2

Page 4: Mathematics 1 & 2 Answer Scheme (Perak's PMR Trial 2012)

6

Point P mark correctly Note :

1. Award P1 if only intersection line drawn

2. Accept < square grid for the point P

P2

2

7(a) (b)

2x + y

w² − 2w − 4w + 8

w² − 6w + 8

N1

K1

N1 3

Page 5: Mathematics 1 & 2 Answer Scheme (Perak's PMR Trial 2012)

8(a)

(b)

( 3x + 1 )( x – 1 )

4(x2 − 25) or 4(x2 − 52)

4(x + 5)(x − 5)

P1

P1

N1

3

9

or or

or

or or or

K1

K1

N1 3

10 x ≥ 2

x ≤ 9

2, 3, 5, 7

K1

K1 N1

3

11 3P = Qr + 2r

r (Q+2) = 3P

P1

P1

N1 3

12(a)

(b)

7

or or

N1

K1

N1 3

Page 6: Mathematics 1 & 2 Answer Scheme (Perak's PMR Trial 2012)

13(a)

(b)

Age (years)Umur (tahun)

FrequencyKekerapan

Age × FrequencyUmur × Kekerapan

1 10 10

2 8 16

3 7 21

4 6 24

5 9 45

Complete table

or

2.9 or or

N1

K1

N1 3

14

All points plotted correctlyNote: 4 or 3 points plotted correctly – award P1

Straight line passes through all the5 pointsNote: Sketch or dotted line, N0

P2

N1

3

Page 7: Mathematics 1 & 2 Answer Scheme (Perak's PMR Trial 2012)

15

Net complete and correctly drawn

Note: 2 or 3 surfaces correctly drawn – award N2 Only one surface correctly drawn – award N1 Sketch or dotted line – award N0

N3

3

16(a)

(b)

(c)

JLNote: JL correctly drawn award P1

i. Arc with centre L and radius 4 units ii. Parallel line 3 units from straight line ML

Mark intersection

P2

K1K1

N1 5

17(a) Correct construction of 60o at Q

Arc 9 0.1 cm from P intersecting any line drawn from Q

Complete diagram

Correct construction of perpendicular line from R to S

N1

N1

N1

K1

Page 8: Mathematics 1 & 2 Answer Scheme (Perak's PMR Trial 2012)

(b) 8.4 0.1 cmN1

5

18(a)

(b)

(c)

Uniform scale on the y-axis in the range – 10 y 17

All 7 points correctly plotted

Note: 6 or 5 points plotted correctly – award KIN0

Smooth curve passes through all the 7 points

K1

K2

N1 4

19(a)

(b)

Q or PQR or RQP

QR or RQ

N1

N12

20 Identify RT = 4

Identify PT = 15 – 4

11

N1

K1

N1 3