Contenu connexe Similaire à 1.0 modul super score kertas 1 set 1 (20) 1.0 modul super score kertas 1 set 11. MODUL
SUPER
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2014
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KERTAS 1
SET 1
NAMA : MARKAH
TARIKH :
Answer all questions.
Jawab semua soalan.
1. The diagram shows the relation between set X and set Y.
Rajah menunjukkan hubungan di antara set X dan set Y.
State /Nyatakan
(a) The range of the relation
Julat hubungan itu
(b) The value of x
Nilai x
[2 marks]
[2 markah]
Answer / Jawapan :
2. Given the function g : x → 5−x . Find the values of x if g(x) = 4. [2 marks]
Diberi fungsi g : x → 5−x . Cari nilai-nilai x jika g(x) = 4. [2 markah]
Answer / Jawapan :
For
examiner’s
use only
2
2
2
1
x g(x)
– 4
x
1
4 6
3
2
– 2
x
Set X Set Y
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2014
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3. Given the functions f(x) = 4x – m and
16
9
)(1
+=−
kxxf , where k and m are constants. Find the
values of k and m. [3 marks]
Diberi fungsi f(x) = 4x – m dan
16
9
)(1
+=−
kxxf , dimana k dan m adalah pemalar. Cari nilai-
nilai bagi k dan m. [3 markah]
Answer / Jawapan :
4. Diagram shows a graph of a quadratic function f(x) = ‒2(x + h)2
‒ 2 where k is a constant.
Rajah menunjukkan graf fungsi kuadratik f(x) = ‒2(x + h)2
‒ 2 dimana k ialah pemalar.
Find
Cari
(a) the value of k
nilai k
(b) the value of h
nilai h
(c) the equation of axis of symmetry.
persamaan bagi paksi simetri.
[3 marks]
[3 markah]
Answer / Jawapan :
For
examiner’s
use only
3
3
3
4
x
0
(-3, k) •
f(x) = −2(x + h)2
− 2
y
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2014
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5. Find the values of p if the quadratic function f(x) = 2x2
+ 2px – (p + 1) has a minimum value of
– 5 [3 marks]
Cari nilai-nilai bagi p jika fungsi kuadratik f(x) = 2x2
+ 2px – (p + 1) mempunyai nilai minimum
– 5
[3 markah]
Answer / Jawapan :
6. Find the range of values of x for xx 624)4( 2
−<− [2 marks]
Cari julat nilai x bagi xx 624)4( 2
−<− [2 markah]
Answer / Jawapan :
For
examiner’s
use only
2
6
3
5
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7. One of the roots of the quadratic equation 032 2
=−− kxx is – 4. Find the value of k.
[2 marks]
Satu dari punca persamaan kuadratik 032 2
=−− kxx ialah – 4. Cari nilai k. [2 markah]
Answer / Jawapan :
8. One of the roots of the equation 3x2
– 6x + p = 0 is three times the other root , find the possible
values of p. [3 marks]
Salah satu punca bagi persamaan 3x2
– 6x + p = 0 adalah tiga kali punca yang satu lagi, cari
nilai yang mungkin bagi p. [3 markah]
Answer / Jawapan :
3
8
2
7
For
examiner’s
use only
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9. Solve the equation 06216 42
=− +− xx
. [3 marks]
Selesaikan persamaan 06216 42
=− +− xx
[3 markah]
Answer / Jawapan :
10. Solve the equation 2x
• 5x +2
= 25000. [3 marks]
Selesaikan persamaan 2x
• 5x +2
= 25000. [3 markah]
Answer / Jawapan :
3
9
3
10
For
examiner’s
use only
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11. Solve the equation log2
(x – 3) = log2
4x + 1 [3 marks]
Selesaikan persamaan log2
(x – 3) = log2
4x + 1 [3 markah]
Answer / Jawapan :
12. Given that log2
x = m and log2
y = n. Express log4
(xy2
) in terms of m and n. [3 marks]
Diberi log2
x = m dan log2
y = n. Nyatakan log4
(xy2
) dalam sebutan m dan n. [3 markah]
Answer / Jawapan :
lum
3
11
4
12
For
examiner’s
use only
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2014
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13. Find the sum to infinity of the geometric progression 20, 10, 5, ... [2 marks]
Cari hasil tambah ketakterhinggaan janjang geometri 20, 10, 5, ... [2 markah]
Answer / Jawapan :
14. Given a geometric progression has the first term and the sum to infinity are 25 and 62.5
respectively. Find the common ratio of the progression. [2 marks]
Diberi satu janjang geometri mempunyai sebutan pertama dan hasil tambah hingga
ketakterhinggaan adalah 25 dan 62.5 masing-masing. Cari nisbah sepunya bagi janjang
tersebut. [2 markah]
Answer / Jawapan :
2
14
2
13
For
examiner’s
use only
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15. Write 0.01010101... as a single fraction in the lowest terms.
[3 marks]
Tulis 0.0101010... sebagai satu pecahan tunggal dalam sebutan terendah.
[3 markah]
Answer / Jawapan :
16. The diagram below shows two vectors OP and OQ.
Rajah di bawah menunjukkan dua buah vektor OP dan OQ.
Express
Ungkapkan
(a) OP in the form ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
y
x
.
OP dalam bentuk ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
y
x
.
(b) PQ in the form jyix
~~
+
PQ dalam bentuk jyix
~~
+
[4 marks]
[4 markah]
Answer / Jawapan :
3
15
4
16
For
examiner’s
use only
P(– 2 , 5)
Q(4 , – 3 )
x
y
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17. Given ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
−
=
3
4
h , ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛−
=
0
2
k and ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
=+
m
kha
6
, find the values of a and m. [3 marks]
Diberi ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
−
=
3
4
h , ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛−
=
0
2
k dan ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
=+
m
kha
6
, cari nilai bagi a dan m. [3 markah]
Answer / Jawapan :
18. Points A, B and C are collinear. It is given that 6 4AB a b= −
uuur
% %
and 4 (2 )BC a k b= + +
uuur
% %
, where k is
a constant. Find
Titik A, B dan C adalah segaris. Diberi bahawa 6 4AB a b= −
uuur
% %
dan 4 (2 )BC a k b= + +
uuur
% %
, dengan
keadaan k adalah pemalar. Cari
(a) the value of k
nilai k
(b) the ratio AB : BC
nisbah AB : BC
[4 marks]
[4 markah]
Answer / Jawapan :
3
17
4
18
For
examiner’s
use only
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Jawapan/Answer :
No Answer
1
(a) {– 2, 2, 3, 6}
(b) x = 0
2 x = 1, x = 9
3 k =
4
1
, m =
4
9
4
(a) k = – 2
(b) h = 3
(c) x = – 3
5 – 4, 2
6 42 <<− x
7 k = 44
8
2
1
=α ,
4
9
=p
9 x = 5
10 x = 3
11 x =
7
3
−
12
2
2 mn +
13 40
14 0.6
15
99
1
16
(a) ⎟⎟
⎠
⎞
⎜⎜
⎝
⎛−
5
2
(b)
~~
86 ji−
17 a = 2 , m = – 6
18
(a) k =
3
14
−
(b) AB : BC = 3 : 2