7/28/2019 Scheme Mathematics Form 4

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1449/2 SULIT Section A

[ 52 marks ]

No Marking Scheme Marks

1 (i) (ii) P1, P2

3

2. x =6 + 4 y or equivalent

5 y = - 5 or equivalent

x = 2, y= -1

K1

K1

N1N1

4

3. 3 k 5k 12 = 0

(3k + 4)( k 3) = 0

k =- , k = 3

K1

K1

N1N1

4

4. 2 x + 3 x 14 = 0

(2 x + 7) ( x 2) = 0

x = - , x = 2

K1

K1

N1N1

4

5. (a) Some

(b) Non statement

(c) i) Trueii) False

(d) 6 is greater than zero

P1

P1

P1P1

P1

5

7/28/2019 Scheme Mathematics Form 4

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No Marking Scheme Marks6. Volume of cylinder = x 4 2 x 12

Volume of hemisphere = x x x 4 3

Remaining solid = = 469.33

K1

K1

K1

N1

4

7. (a)m =

=

(b) c = 5

y = x + 5

(c) x = -

KI

N1

K1

N1

P1

5

8. (a) i) 8 x

ii) +

x2 8 x + 32

(b) x2 8 x + 12 = 0( x 2)( x 6) = 0

x = 2 or x = 6

P1

K1

N1

K1K1

N1

6

9. (a) [ ] 600.21cm 2

(b)

[ ]+

+ 39 + [39 (7x2)]

120.73cm

K1

N1

K1

N1

4

7/28/2019 Scheme Mathematics Form 4

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No Marking Scheme Marks10. Volume of cone = x x 3 2 x 7

Volume of hemisphere = x x x 9 3

Remaining solid = = 1461.43

K1

K1

K1

N1

4

11. n = or equivalent

-2n = 11 or equivalent

n = , m =

K1

K1

N1N1

4

12. (a) y = -8

(b) m =

= -

(c) c = -

y = = - x -

P1

K1

N1

K1

N1

5

13. (a) i) B = A + 40X = 80

ii) Y = 400 (30+50+40+20+30+80)= 150

iii) 30 + 50 + 20 + 80= 180

(b) i) 165 + 38= 203

ii) 345 (165 + 38 + 77)= 65

iii) 165 + 65= 230

P1 N1

K1 N1

K1 N1

K1 N1

K1 N1

K1 N1

12

7/28/2019 Scheme Mathematics Form 4

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No Marking Scheme Marks14. (a) i)

ii) =

(b) i) ABCDEF are hexagon

ii) K U L L

(c) i) If x is a multiple of 3, then it is divisible by 3If x is divisible by 3, then it is multiple of 3

ii) If tan = 1, then = 45 o If = 45 o, then tan = 1

(d) i) 2 + 7 n, n = 0, 1, 2, 3

ii) n2 1, n = 1, 2, 3, 4

P1P1

P1

P1

P1P1

P1P1

P1 P1

P1 P1

12

15. a)

7/28/2019 Scheme Mathematics Form 4

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No Marking Scheme Marks15. (b)

16.

I all class interval correctII all frequencies correctIII all midpoints correctI, II and III correct

(b). (i) 25 27

(ii)

(c) Uniform scale on the x-axis and on the y axis Mid - points on horizontal axis 8 points plotted corecctly

Payment, RM Frequency Midpoint10 12 1 1113 - 15 2 1416 18 3 1719 21 5 2022 24 6 2325 27 9 2628 30 4 2931 - 33 2 32

P1P1P1P1

P1

K2

N1

K1K1K2

7/28/2019 Scheme Mathematics Form 4

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No Marking Scheme Marks

12 x 1.5 2.5 y 10 6

(b) Uniform scales 30305.45.4 yand x All 10 points plotted correctly .Smooth curve and passed all 10 correct points .

(c) x = 2.1 0.1 y = 10.3 0.5

(d) y = 3 x + 5

Straight line y = 3 x +5 drawn x = 1.6 0.1 , 3.2 0.1

K1K1

P1K2

N1

P1P1

K1K1

N1N112

(a)

y

x

y = 15 x

: x Intercept (0, 0)

y = - 3 x + 5

y=-15/x

7/28/2019 Scheme Mathematics Form 4

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No Marking Scheme Marks13 (a) (i) (1 , 6)

(ii) (6 , 1)

(b) (i) K : rotation 90 o anticlockwise by the centre (3,4)

(ii) J :enlargement at centre P or (6,3) and scale factor 2

(c) A +78 = 2 2 A A = 26 cm 2

P1P2

P3

P3

K2 N1

12

14 (a)Time(minutes)(i)

Frequency(ii)

Midpoints(iii)

35 39 2 3740 44 3 4245 49 4 4750 54 7 5255 59 6 5760 -64 4 6265 69 3 6770 - 74 1 72

(i) all class interval correct(ii) all frequencies correct(iii) all midpoints correct

(b). (i) 50 54

(ii)13467432

)72(1)67(3)62(4)57(6)52(7)47(4)42(3)37(2

53.83(c)

Uniform scale on the x-axis and on the y axis Mid - points on horizontal axis 8 points plotted corecctly points (32,0) and (76,0) plotted correctly frequency polygon pass through all 8 points correctly, (32,0) and

(76,0)

P1P1P1

P1

K2 N1

K1K1K1K1

N1

1

23

4

5

6

7

frequency

7/28/2019 Scheme Mathematics Form 4

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No Marking Scheme Marks

1215

Correct shape with two rectangle IJLK and LKAB.Dotted line HG .Correct mesurement 0.2.

(b)

Correct shape with rectangle ABCD and semicircle CD .Straight line GH and semicircle CD by using compasses.Correct mesurement 0.2.

(c)

P1P1Q2

P1P1Q2

4cm

4cm

I J

L K

H/E

6cm

G/F

C/B D/A

F/B J/G K/C

6cm

E/A I/H L/D

7/28/2019 Scheme Mathematics Form 4

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No Marking Scheme Marks

Coreect shape with hexagon AEHILD and a rectangle.The length of the sides must be in correct proportionCorrect mesurement 0.2

P1P1Q2 12

16 (a)

(b) (77o N , 110

oW )

(c) (90 77) 2(90 77) 2 601560 n.m.

(d) (i) cos 77 o 180 60 cos 77 o 2429.47 *

(e)2429.47* 154 60

1500T

7.78 hours or 7 hr 47 min

P1P1

P2

K1K1

N1

K1K1

N1

K1

N112

H/G

A/B

E/F

8cm D/C

I/J

L/K

5cm

3cm

3cm

4cm

K

L J