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SULIT
SEKOLAH MENENGAH KEBANGSAAN BATU LINTANG
PEPERIKSAAN PENGGAL 1 2015
TINGKATAN 4
For examiner’s use only
Question Total Marks
Marks
Obtained
1 2
2 3
3 3
4 4
5 3
6 3
7 3
8 2
9 4
10 3
11 3
12 2
13 3
14 3
15 3
16 3
17 4
18 4
19 4
20 4
21 3
22 4
23 3
24 4
25 3
TOTAL 80
Kertas soalan ini mengandungi 12 halaman bercetak
Disediakan oleh :
____________________
(Cik Suhaili Binti Sabri)
Disemak oleh :
____________________
(Pn. Tan King Ping)
Disahkan oleh :
____________________
(Pn. Hasmah Bt Omar)
MATEMATIK TAMBAHAN
Kertas 1
Dua jam
JANGAN BUKA KERTAS SOALAN INI
SEHINGGA DIBERITAHU
1 This question paper consists of 25 questions.
2. Answer all questions.
3. Give only one answer for each question.
4. Write your answers clearly in the spaces provided in
the question paper.
5. Show your working. It may help you to get marks.
6. If you wish to change your answer, cross out the work
that you have done. Then write down the new
answer.
7. The diagrams in the questions provided are not
drawn to scale unless stated.
8. The marks allocated for each question and sub-part
of a question are shown in brackets.
9. A list of formulae is provided on pages 2 to 3.
10. A booklet of four-figure mathematical tables is
provided.
.
11 You may use a non-programmable scientific
calculator.
12 This question paper must be handed in at the end of
the examination .
3472/1
Matematik Tambahan
Kertas 1
Mei 2015
2 Jam
Nama :_______________________
Tingkatan :____________________
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The following formulae may be helpful in answering the questions. The symbolsgiven are the ones
commonly used.
ALGEBRA
1
2
4
2
b b ac
x
a
2 am
an
= a m + n
3 am
an
= a m n
4 (am
)n
= a mn
5 log a mn = log a m + log a n
6 log a
n
m
= log a m log a n
7 log a mn
= n log a m
8 log a b =
a
b
c
c
log
log
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SULIT
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Answer all questions.
1.
Diagram 1
Diagram 1 shows the relation between set P and set Q in the form of graphs. State
a) the objects of 5
b) codomain of the relationship [2 marks]
2. Diagram 2 shows the graph of the function 23 xxf for domain 30 x
xfy
Diagram 2
State
a) the value of h
b) the range of f (x) based on the given domain. [3 marks]
7
5
3
1
x y z
7
h 30
y
x
Set P
Set Q
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3. Given 23: xxg , find
a) )(xgg
b) )3(2
g [3 marks]
4. Given functions g and h are defined respectively as 5: 2
xxg and xxh 4: find
the values of x if
a) 4)( xgh
b) 7)( xhg [4 marks]
5. Function g is defined as 0,
3
: x
x
xg
Find
a) )(1
xg
b) )2(1
g [3 marks]
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6. Solve the quadratic equation 2452
xx . [3 marks]
7. Solve the quadratic equation )5)(3()4(2 xxxx . Give your answers correct to four
significant figures [3 marks]
8. Determine the type of roots of the quadratic equation 675 2
xx [2 marks]
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9. Given α and β are the roots of quadratic equations 382
xx , form a quadratic equation
with roots of 3α and 3β [4 marks]
10. Given -3 and
2
1
are the roots of the quadratic equation 04 2
nmxx , find the value of m
and n [3 marks]
11. Given quadratic equation 032)1( 2
kxkxk , where k is a constant, have two
equal roots. Find the values of k. [3 marks]
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12. Find the range of values of x that satisfy the quadratic inequalities 02832
xx
[2 marks]
13. Given quadratic function 962)( 2
xxxf , find the coordinates of the minimum point
of the graph of the quadratic function. [3 marks]
14. Find the coordinates of the maximum point of the graph of a quadratic function
4123 2
xxy . [3 marks]
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15. Find the range of values of x )1(2)1( 2
xx [3 marks]
16.
Diagram 16
Diagram 16 shows the graph of the quadratic function 5)(2 pxy where p is a constant.
Graph has a maximum point (3, q), where q is a constant. [3 marks]
State
a) the value of p
b) the value of q
c) symmetry axis
q,3
0
x
y
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17. The sum of two numbers is 15 and the sum of squares of the numbers is 137. Calculate the
values of those numbers. [4 marks]
18. Find the intersection points of a straight line 13 yx and the curve 72 22
yxyx
[4 marks]
19. The different of two numbers is 12 and their product is 45. Find the possible values of these
numbers [4 marks]
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20. Find the value of [4 marks]
a) 3
1
)27(
b)
4
1
16
1
21. Express 11
222
nnn
in the simplest form [3 marks]
22. Find the value of
a) 9log 27
b) 8log32 [4 marks]
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23. Solve the equation of 1)12(loglog 66 xx [3 marks]
24. Given px 2log and qx 5log , express 3
6.1log xx in terms of p and q. [4 marks]
25. Solve the equation of )1(log1)13(log 33 yy [3 marks]
