1449/1 Matematik Kertas 1 Oktober 2006 1 ¼ jam SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN AKHIR TAHUN TINGKATAN 4 2006 MATEMATIK Kertas 1 Satu jam lima belas minit JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU 1. Kertas soalan ini mengandungi 40 soalan. 2. Jawab semua soalan. 3. Jawab dengan menghitamkan ruangan yang betul pada kertas jawapan. 4. Bagi setiap soalan hitamkan satu ruangan sahaja. 5. Sekiranya anda hendak menukarkan jawapan, padamkan tanda yang telah dibuat. Kemudian hitamkan jawapan yang baru. 6. Rajah yang mengiringi soalan tidak dilukiskan mengikut skala kecuali dinyatakan. 7. Satu senarai rumus disediakan di halaman 2 hingga halaman 3. 8. Buku sifir matematik empat angka boleh digunakan. 9. Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogram. Kertas soalan ini mengandungi 16 halaman
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
1449/1MatematikKertas 1Oktober20061 ¼ jam
SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN AKHIR TAHUN TINGKATAN 4 2006
MATEMATIK
Kertas 1
Satu jam lima belas minit
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
1. Kertas soalan ini mengandungi 40 soalan.
2. Jawab semua soalan.
3. Jawab dengan menghitamkan ruangan yang betul pada kertas jawapan.
4. Bagi setiap soalan hitamkan satu ruangan sahaja.
5. Sekiranya anda hendak menukarkan jawapan, padamkan tanda yang telah dibuat. Kemudian hitamkan jawapan yang baru.
6. Rajah yang mengiringi soalan tidak dilukiskan mengikut skala kecuali dinyatakan.
7. Satu senarai rumus disediakan di halaman 2 hingga halaman 3.
8. Buku sifir matematik empat angka boleh digunakan.
9. Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogram.
Kertas soalan ini mengandungi 16 halaman bercetak
[Lihat sebelah
11
2
S U L IT 2
MATHEMATICAL FORMULAE
1449/1
The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.
19 Diagram 8 shows a right prism with rectangular base KLMN.P
Q
5 cm N
M K 6 cm 8 cm
L
DIAGRAM 8
Calculate the angle between the line PL and the base KLMN.
A 20° 18 B 24° 16 C 24° 22 D 26° 34
20 The angle of elevation of the peak of pole P from the peak of pole Q is 60°. The two poles are vertically planted in a horizontal ground. Which diagram below represents the situation described?
21 Diagram 9 shows a pole, PR on a horizontal plane.
P
160°
R QDIAGRAM 9
Calculate the angle of depression of Q from vertex P.
A 70° B 60° C 30° D 20°
22 Given that v h , then h =
t
Avt
Bvt2
2
Cv2tv 2tD2
23 There are two helicopters X and Y at height 300 m and 340 m above sea level respectively. If the angle of elevation of helicopter Y from helicopter X is 41°, calculate the horizontal distance, in m, between the two helicopters.
32 It is given that the universal set = {x : 1 x 20, x is an integer}, set P = {2, 3, 6, 7, 9, 11, 13, 17}, set Q = {x : x is a prime number} and set R = {x : x multiple of 3}.Find n[(P R)’ Q].
A 5B 6C 7D 9
33 Diagram 13 is a Venn diagram showing the sets P, Q and R such that the universal set = P Q R.
P Q
R
DIAGRAM 13
The shaded region represents the set
A P’ (Q R) B P (Q R)’ C P (Q R)’ D P’ (Q R)
34 Diagram 14 is an incomplete Venn diagram showing the elements in sets P, Qand R.
P Q.s
.c .y.w
.m.g .q
.k
DIAGRAM 14
It is given that the universal set, = P Q R, n(Q) = 6 and n(PR) = 3. Find n(P’ Q R).
38 Table 2 shows the distribution of a group of students playing a game.
Form One Form Two
Girls x 12
Boys 8 6
TABLE 2
A student is chosen at random from the group to start the game. The probability
that a girl from Form One will be chosen is 2 . Find the value of x.
15A 2B 4C 6D 8
39 A box contains a number of yellow marbles and 10 red marbles. A marble is chosen at random from the box. The probability of choosing a yellow marble is3
. Then, a number of red marbles is put in the box. If a marble is now selected5
at random from the box, the probability that a red marble chosen is
many red marbles are there in the box?
1 . How
2
A 15B 20C 25D 30
40 A dice is rolled twice and the sum of the number shown is noted. Find the probability that the sum of the numbers being 7.