8/8/2019 SPM Perlis Addmath P1 2010 Ans

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ADD MATHEMATICS PAPER 1,2010

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1 a) 5

b) 3

1

1

22 -2

B1:3

5)(

x

xf

3

3

3 a) 3kx +8

a)12

5

B1: 3k=4

5

1

2

3

4 2.766 and1.266

B2:

)2(2)7)(2(4)3()3(

2

B1: 0732 2 xx

3

3

5 a) 5)4( 2 x

b) 11

B1: 5)40( 2

1

2

3

65

3

1 x

B2:

B1: (3x + 4)(x

5) < 0

Or roots3

1 and 5

3

3

7 3

B2: 3x +1 = 2(x1)

B1: 21

)5(5)1(413 xx or

3

3

8n

m

22

5

B3:

2

log2log2log5 qp

B2: change base and 1law of log

B1: use 1 law of log

4

4

9 27

B2: 23

9x

B1: 32

x seen

3

3

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10a)

3

2

B1:729

8

18

1 5 arorar

b) 25.04

1or

B1:12

1a

2

2

4

11 a) 15

b) 217

B2: )4)(17()19(22

7 or

)4(5)5(22

6)4(12)5(2

2

13

B1: 197 T or )4(12)5(2213

or )4(5)5(22

6

1

3

4

12 xxy 42 2

B2: 42 xx

y

B1: m = 2

3

3

13

2

3 or 1.5

B2: 1

5

6

4

5

p

B1:p4

5 or

5

6 seen

3

3

14a) ji 34 or

3

4

B1: OBAOAB

b) 5

2

1

3

15

3

10

B3: 10k= 3mB2: 2m and 35 k

B1: RSPQ seen

4

4

16a)

k

1

b) 21 k

B1: xx sinsincoscos

1

2

3

3

1 5

8/8/2019 SPM Perlis Addmath P1 2010 Ans

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17 a) 0.3948

B1:13

12cos POR

b) 11.13B1: 3948.013

2

24

1825

3

2 3 xxy

B2: c )3(5)3(3

21

3

B1: xx 53

2 3

3

3

19 24x16

B1:

6 or

2 seen

2

2

20

3

1

B2: 12x4 = 0

B1: 12x4

3

3

21 4

B2: 4k2k= 8B1: 5 seen

3

3

22 8

B2: 0)87(2 2 kk

or

87(22

kk

B!:22

3

7

3

29

kk

3

3

23a)

7

3

B1:7

2

3

1or seen

b)21

2

B1:7

2

3

1

2

2

4

24 a) 3B1: p = 0.05

2

b) 2.85B1:

95.005.060

2

4

25 a) 65.15

B1: 95.03

68

b) 0.7

B1: 0.242

2

2

4