# add maths by speedracerijok

VIEWS: 18 PAGES: 4

• pg 1
```									                http://plan-day-health.com
SPM Trial Examination 2011 Perak
Marking Scheme
Addition Mathematics Paper 1

No         Marking Scheme                                                      Total
Mark
1.    (a)      7                                                          1

(b)      8                                                          1

(c)      many to many                                               1
banyak dengan banyak

2.     (a) 53                                                             1

(b)     h  3 and k  22                                           3

B2:       h  3 or 9h  k  5 or g(x) = 3x2 - 22
B1:       h(3  x) 2  k

3.                     x4                                                1
(a)       g 1 ( x) 
7
x4
Accept:
7

(b)       p  10
2
p4
B1:            2 or 7(2)  4  p
7

4.                   p  6                                               2

B1: (3) 2  5(3)  p  0 OR ( x  3)(x  2)  0
OR  3  h  5 and  3h   p

5.                        1                                               3
3  x 
2

B2:                      1
( indicated the correct
region )          -3
2

B1:       ( x  3)(2 x  1)

6.            (a)    x2                                                  1
(b)     f ( x)  ( x  2) 2  16                             2

1
http://plan-day-health.com
http://plan-day-health.com
B1: b  2 or c  16
7.                       1
n                                           3
2
B2: n  2  3n  4 or equivalent
B1: 3n2  33n  34 or equivalent

8.
x = 64                                            3
1

B2: log 2 x  3 or log 4 x  3
2

log 2 x       log 4 x
B1:
log 2 4
or log 4 2

9.               x = 40                                         2
x      x 8

B1: x  10     x

10.               1                                             1
(a)             
3
(b)      18                                             2
 24
B1:
 1
1  
 3

11.
n = 20                                            2
B: 56 + ( n – 1 ) ( – 3 ) < 0

12.
a = 7 and b = – 2                                  4

B3: a = 7 or b = – 2 OR 1 = a – 2(3) or 5 = a –
2(1)
5 1
B2: 5  a  b(1) or 1  a  b(3) OR b 
1 3
B1: log y  bx 2  a

13.
(a) h  6                                                2
40 h0
B1:            or equivalent
1 3 6  3

(b)      2:3
n(1)  m(6)                          2
B1: 3 
nm
2
http://plan-day-health.com
http://plan-day-health.com
14.           6,  6                                              3
p 12
B2:     
3 p
12                                p
B1: m1      or                      m2 
p                                3
15.   ( a)        k 6                                            2
B1:            k  8  10
2       2

(b)
1 *
10

6i  8 j                               1
3 i+4j
5     5

16.   (a)      x  2y                                            1
3    1
(b)       x y                                              3
4    2
1                     3
B2: x  ( x  2 y ) or 2 y  ( x  2 y )
4                     4
1                  3
B1 : ( x  2 y ) or  ( x  2 y )
4                  4

17.                                 1                             1
(a)           sec  
k
1 k 2
(b)                                                        2
k
B1:               1 k 2

18.   ( a)              5                                         1

(b)      45.56                                              3
1              1
B2: (13) 2 (1.19)  (10  12)5
2              2
1                  1
B1 : (13) 2 (1.19) or     (10  12)5
2                  2

19.               24                                              3
B2:  2(2)( 3)( 2 x  3) 4 (2)
B1:  2(2 x  3) 21 (2)

20.                15                                             3
11
dx      5
B2 :                               or equavalent
dt (4  3x  2 )

3
http://plan-day-health.com
http://plan-day-health.com
dy                 dy
B1:        4  3x  2 or    5
dx                 dt

21.                   y = 3x2 – 4x  5                3
B2:     2 = 3(1)2 – 4(1) + c
B1:     y = 3x2 – 4x + c

22.    (a)           x = 42                          1
(b)           x = 324
2
2

B1:     5=
x    2

 72
6

23.   (a)          1716                               1

(b)       1008                                  3
B2 : 8C4 x 5C2 + 8C5 x 5C1 + 8C6 x 5C0
B1: 8C4 x 5C2

24.   (a)           x=5                               2

12     6
B1 :          
33  x 19

3                                   2
(b)
38
5 18       25 20
B1 :       or 1  
30 38       30 38

25.    (a)          0.1587                            2
103  95
B1: P( Z                 )
8
(b)       0.6826                                2
B1: P(1 < Z < 1)

Total       80

4
http://plan-day-health.com

```
To top