The document details the format and structure for SPM Mathematics exams with various sections, question counts, and mark allocations. It includes specifications for scientific calculator usage and outlines topics covered such as quadratic equations, statistics, and matrices. Additionally, it provides insight into past year performance statistics by grade level across several years.

3. Paper 1 Paper 2
1 hour 15 minutes 2 hour 30 minutes
40 questions
(Answer ALL)
Part A
11 questions
(Answer ALL)
Part B
5 questions
(choose 4)

4. Format for SPM Mathematics
MARKS: 40 marks
No. of Questions :
40 questions
Duration: 75 minutes
(1.8 minutes every
question)
INSTRUCTIONS
Answer all questions
Scientific Calculator is

5. Format for SPM Mathematics
MARKS: 100 marks
No. of Questions :
Section A : 11 questions
Section B : 5 questions
INSTRUCTIONS
Answer all questions
Scientific Calculator is
allowed

6. INSTRUCTIONS
Section A
[52 marks - 78 minutes]
11 questions, answer all question
Section B
[48 marks - 72 minutes]
Choose 4 questions out of 5.
(18 minutes every question)
TOTAL =140 MARKS
Format for SPM Mathematics

8. Paper 1 Paper 2
100 marks
40 marks

9. Level of Difficulties :
Low (L),
Moderate (M),
High (H)
L : M : H = 5 : 3 : 2

10. Format of Exam.
Allocation of marks
Important topics
PAST YEARS
QUESTIONS

11. Taburan Markah mengikut Tingkatan
2007 (N) 2008 (N) 2009 (N)
K1 K2 J K1 K2 J K1 K2
FORM
3
13 14 27 12 15 27 15 14 29
18% 18% 19%
FORM
4
14 30 44 16 32 48 15 29 44
29% 32% 29%
FORM
5
13 68 81 12 65 77 11 69 80
53% 50% 52%

12. ANALISIS SOALAN MATEMATIK 1449 S.P.M. mengikut TINGKATAN

15. SIGNIFICANT FIGURE
STANDARD FORM
QUADRATIC EXPRESSIONS &
EQUATIONS
STATISTICS
TRIGONOMETRY II
NUMBER BASES
GRAPHS OF FUNCTIONS
MATRICES
SIMULTANEOUS EQUATIONS

16. 1. Round off 30 106 correct to
three significant figures.
3.)
5
10
6
0078
.
0 


4.) 1100102 − 111012
2.) Express as a
single number.
4
10
205
.
1 

17. x
x 17
15
4 2



18
3
4
1
2





h
g
h
g

18. 


























2
1
3
5
2
4
y
x

19. (W1W1)
x −1 2
y
(a) Complete the table (2%)
3
6 x
y 
 3
6 x
y 


20. 1 Significant figures 1 mark
2 Standard form 2 marks
3 Simultaneous equation 4 marks
4 Quadratic equation 4 marks
5 Number Bases 2 marks
6 Inverse matrix 4 marks
7 Graphs of functions 2 marks
Total marks available : 19 marks

22. 1. Round off 30 106 correct to
three significant figures.
3.)
5
10
6
0078
.
0 


4.) 1100102 − 111012
2.) Express as a
single number.
4
10
205
.
1 

23. Tekan MODE sebanyak 5 kali
Pilih 2 untuk SCI
Pilih 4 untuk 4 angka bererti
3.)
5
10
6
0078
.
0 



25. Tekan MODE sebanyak 2 kali
0 d
Paparan skrin
Pilih 3 untuk BASE
Butang
DEC
x2
untuk ASAS SEPULUH
0 d

26. Butang DEC
x2 untuk ASAS SEPULUH
0 d
Butang BIN
log untuk ASAS DUA
0 b
Butang OCT
ln untuk ASAS lapan
0 o

27. 1. Express 110101012 = ________ 8.
0 b
Masuk nilai
11010101 b
Tekan =
Tekan OCT
ln
152o

28. 0 b
Masuk nilai
Tekan =
4.) 1100102 − 111012
10101b

30. x + 2y = 6
x − y = − 7
2
3

31. x + 2y = 6 … (1)
… (2)
(2) × 2
3x − 2y = − 14 … (3) (K1)
(1) + (3)
4x = − 8 (K1)
x = − 2 (N1)
y = 4 (N1)
7
2
3


 y
x
x + 2y = 6
x − y = − 7
2
3

32. Tekan SHIFT
Pilih 2 untuk Mode
Tekan MODE
Mode Clear _
Tekan = Tekan =

33. Tekan MODE sebanyak 3 kali
Pilih 2 untuk TWO unknowns
2
Unknowns?
3
x + 2y = 6
x − y = − 7
2
3
Pilih 1 untuk EQN (EQUATION)

34. a1?
b1=2 c1=6
a1=1
0
x + 2y = 6
x − y = − 7
2
3
b2= −1 c2= −7
a2=1.5
x = − 2; y = 4

35. k = 0.5, w = −3 (N1N1)





























1
10
2
4
3
1
4
3
1
2
1
)
)(
(
)
(
w
k
(W1)
(W1)
2k − 3w = 10
4k + w = − 1

























 
1
10
1
4
3
2
w
k

37. Tekan SHIFT
Pilih 2 untuk Mode
Tekan MODE
Mode Clear _
Tekan = Tekan =

38. (W1)
3x2
− 2x − 5 = 0
7
1
2
3 2


 )
(x
x
3x2
= 2x − 2 + 7

39. Tekan MODE sebanyak 3 kali
Pilih 1 untuk EQN (EQUATION)
2
Unknowns?
3
Butang

40. 2
Degree?
3
a?
0
3x2
− 2x − 5 = 0
b=-2
a=-5
a=3

41. x1=
1.666666667
SHIFT
Tekan a b/c
d/c
x1=
5 3
x1=
-1

42. (W0A0A0)
(3x − 5)(x + 1) = 0
1
, 

 x
x
3
5 (A1A1)
(W1)
3x2
− 2x − 5 = 0
7
1
2
3 2


 )
(x
x
(W1)
3x2
= 2x − 2 + 7
3x = 5, x+ 1 = 0

44. (b) Write the following
simultaneous linear equations as
matrix equation :
3u – 4v = −5
−u + 2v = 2
Hence, using matrices,
calculate the value of u and of v.
[2006N. P2. 11 : 6 marks]

45. 3u − 4v = − 5 … (1)
− u + 2v = 2 … (2)
(2) × 3
− 3u + 6v = 6 … (3) (K1)
(1) + (3)
2v = 1 (K1)
v = u = − 1 (N1)(N1)
2
1

46. 






 



















2
5
2
1
4
3
v
u
(P1)







 




















2
5
3
1
4
2
1
4
2
3 )
)(
(
)
(
1
v
u
2
1
1 

 v
u , (N1N1)
(W1)
3u – 4v = −5
−u + 2v = 2

48. x −1 2
y
(a) Complete the table (2%)
3
6 x
y 
 3
6 x
y 


49. Tekan SHIFT
Pilih 2 untuk Mode
Tekan MODE
Mode Clear _
Tekan = Tekan =

50. Paparan skrin
x2
3
6 x
y 

6
SHIFT
─
ALPHA x
)
DEC
x3
.
0
3
6 x

Tekan
=
CALC
SOLVE

51. Paparan skrin
x2
3
6 x
y 

.
0
3
6 x

Tekan
=
CALC
SOLVE
1

?
x
x −1 2
y 7 ─2

53. KONGSI