midyearform5paper22010mathematics 100730001403-phpapp01
TRANSCRIPT
UNIT PEPERIKSAAN & PENILAIANSMK TUNKU BESAR BURHANUDDIN71550 SERI MENANTI, N. SEMBILAN
PEPERIKSAAN PERTENGAHAN TAHUNTINGKATAN 5 2010
MATHEMATICS
Kertas 2
Dua jam tiga puluh minit
Pemeriksa
Bahagian SoalanMarkah Penuh
Markah Diperoleh
A
1 4
2 4
JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
1.Kertas soalan ini mengandungi dua bahagian : Bahagian A dan Bahagian B. Jawab semua soalan daripada Bahagian A dan empat soalan dalam Bahagian B.
2.Jawapan hendaklah ditulis dengan jelas dalam ruang yang disediakan dalam kertas soalan. Tunjukkan langkah-langkah penting. Ini boleh membantu anda untuk mendapatkan markah.
3.Rajah yang mengiringi soalan tidak dilukis mengikut skala kecuali dinyatakan.
4.Satu senarai rumus disediakan di halaman 2 & 3
5.Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogram.
3 3
4 3
5 5
6 6
7 5
8 5
9 6
10 6
11 5
B
12 12
13 12
14 12
15 12
Jumlah
Kertas soalan ini mengandungi 14 halaman bercetak
Panatia Matematik SMKTBB
SULIT1449/2MathematicsKertas 2Mei 2010
jam
1449/2
1449/2@2010 [Lihat sebelahSULIT
NAMA :
TINGKATAN :
Untuk Kegunaan Pemeriksa
SULIT
Di Sediakan Oleh Di Semak Oleh
______________________ (Sunita binti Mukhtar )
Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunakan.
PERKAITAN
1. .
2.
3.
4.
5.
6.
7.
8. Titik Tengah
9. Purata laju =
10. Min =
11. Min =
12. Teorem Pithagoras
13.
14.
[Lihat sebelah1449/2 SULIT
2
Untuk Kegunaan Pemeriksa
SULIT
BENTUK DAN RUANG
1. Luas trapezium = hasil tambah dua sisi selari tinggi
2. Lilitan bulatan = d = 2j
3. Luas bulatan = j2
4. Luas permukaan melengkung silinder = 2jt
5. Luas permukaan sfera = 4j2
6. Isipadu prisma tegak = luas keratan rentas panjang
7. Isipadu silinder = j2t
8. Isipadu kon = j2t
9. Isipadu sfera = j3
10. Isipadu piramid tegak = luas tapak tinggi
11. Hasil tambah sudut pedalaman poligon = ( n 2 ) 180 0
12.
13.
14. Faktor skala, k =
15. Luas imej = k 2 luas objek
1449/2 SULIT3
Untuk Kegunaan Pemeriksa
SULIT
Section A[52 marks]
Answer all questions in this section
1 Using factorisation, solve the following quadratic equation :
h2 = 9( h – 1) 2
[4 marks]Answer:
2 Calculate the value of v dan w taht satisfy the following simultaneous linear equations :
and [4 marks]
Answer :
3 Venn Diagram in diagram 1(a) and 1(b) shows set , P, Q dan R . In diagram provided in the answer spances. shade
(a) (b) Jawapan :(a) (b)
[3 marks]
[Lihat sebelah1449/2 SULIT
4
P
R
QP
P
R
QP
Diagram 1(a) Diagram 1(b)
Untuk Kegunaan Pemeriksa
SULIT
4 The diagram shows a solid formed by joining a cone with hemisfereThe height of the con is 7cm, Diameter of the cone and the hemisfere is 6 cm
Diagram 2
Using , Calculate the volume, in cm3 , of the solid
Answer :
5.
M( -3, 7)
In Diagram 2, O is the origin. Straight line KL is parallel to straight line MN. The equation of straight line KL is 2x + y = 4
The points L and N lie on the y- axis
Find(a) The equation of straight line MN
1449/2 SULIT5
x
y
K
L
N
Untuk Kegunaan Pemeriksa
SULIT
(b) The x –intercept of the straight line MN[5 marks]
Jawapan : (a)
(b)
(c)
6
(a) M is a 2 X 2 matrix where M , find the matrix of M
(b) Write the following simultaneous linear equations as matrix equation :
Hence, using matrix method, calculate the value of p and q [6 marks]
Answer :(a)
(b)
. 7. Diagram 4 shows the speed-time graph of a particle for a period of 18 seconds
[Lihat sebelah1449/2 SULIT
6
Untuk Kegunaan Pemeriksa
SULIT
a) State the the length time, in seconds, the particle moves with uniform speedb) Calculate the rate of change, in ms-2, in the first 6 secondsc) Calculate the value of u, if the average speed of the particle in the last 12 seconds
[5marks]Answer :a)
b)
c)
8 Diagram 5 shows the distance – time of the journey of a car from Pulau Pinang to Johor Bahru over a period of t hours.
Distance (km) 800
300
Time (hour) 0 4 2 t(a) State the length of time, that car is stationary
(b) State the distance in km, from Johor Bahru when the car is stationary
(c) Calculate the car average speed, in km h-1, during the 6 first hours
(d) If the average speed of the car for the whole journey is 80km/hCalculate the value of t
1449/2 SULIT
Time(s)
Speed(ms/s)
u
4
10 18
22
Diagram 46
7
Untuk Kegunaan Pemeriksa
SULIT
[5 marks]Answer :
(a)
(b)
(c
d)
9.
Diagram 6,shows OKJH with the centre O and a circle FGH with centre M. F is the midpoint of OH and OK = 28
Using , calculate
(a) The perimeter in cm of the whole diagram(b) The area cm of the shaded region
[6 marks]
Answer a)
[Lihat sebelah1449/2 SULIT
8
Diagram 6
Untuk Kegunaan Pemeriksa
SULIT
b)
10 Diagram 7 shows three numbered cards in box P and four numbered in box Q
5 15 19 3 6 15 17
Box P Box Q
A card is picked at random from each of the boxesBy Listing the possible outcomes, find the probability that
a) a card with a number which is a multiple of 2 or a multiple of 5 are picked
b) a card with a number which is a multiple of 2 and a multiple of 5 are picked
[ 5 marks ]
Answer :a)
b)
11 (a) ( I ) Complete the following mathematical sentence in the answer space by
5
1449/2 SULIT9
Untuk Kegunaan Pemeriksa
SULIT
( ii ) Complete the following statement the quantifier “all” or “ some” to make it a true statement .
--------------------------- multiples of 3 are divisible by 2
[2 marks ](b) Complete the conclusion in the following argument
Premise 1 : If x is a factor of 12, then x is a factor of 24Prermise 2 : x is not a factor of 24
Conclution : _____________________________________
[1 marks]
(c) Write down two implications based on the following sentence :3m > 15 if and only if m > 5
[2 marks]
Answer :
(a) ( I )_____________________________________________________________________
( ii ) ____________________________________________________________________
(b)Conclusion:____________________________________________________________________
(c)Implication 1 : ______________________________________________________________ Implication 2 :______________________________________________________________
Section B
[48 marks]
[Lihat sebelah1449/2 SULIT
10
Untuk Kegunaan Pemeriksa
SULIT
Answer four questions from this section.
12 (a) Complete Table 1 in the answer space fo the equation
x 4 2.5 1 -0.5 0.5 1 2 3.2 4
y 1 1.6 8 -8 -4 -1.25 -1
Table 1 [2 marks]
For this part of the question, use the graph paper provided on page 31. You may use a flexible curve rule (b) By using a scale of 2 cm to 1 unit on the x-axis and 2 cm kepada 2 unit on the-yaxis, draw the
graph for .
[5 marks]( c ) From your graph, find ( i) the value of y when x = 1.8 (ii) the value of x when y = 3.4
[2 marks](a) Draw a suitable straight line on your graph to find all the value of x which satisfy the
equation for
State these values of x [3 marks]Answer :
(a)
x 4 2.5 1 -0.5 0.5 1 2 3.2 4
y 1 1.6 8 -8 -4 -1.25 -1
Table 1
(c) ( i ) y = ____________________
( ii) x = _____________________
(d) x = _______________________, _______________________
13 Diagram 7 shows rectangle D, E, F dan G.
1449/2 SULIT11
y
D
7
Untuk Kegunaan Pemeriksa
SULIT
(a) Transformation P is a reflection about line x = 3and transformation R is clockwise rotation of 900 about the point (4, 4). State the coordinate of image of point K under
(i) Transformation P
(ii) Transformation PR[3 marks]
(b) Rectangle D is the image of rectangle of F under transformation V and rectangle E is the image of rectangle D under transformation W.Describe in full
(i) Transformation V
(ii) A single transformation which equavalent to transformation WV.[5 marks]
(c) Rectangle G is the image of rectangle F under an enlargement
(i) State the centre coordinate of the centre of the enlargement
(ii) Given the area of rectangle F is 7 unit2, calculate the area of rectangle of G.
[4 marks]Answer:(a) (i)
(ii)
(b) (i)
(ii)
(c) (i)
(ii)
14 The Data in diagram 8 shows the donations, in RM, of families to their children’s school welfared fund.
[Lihat sebelah1449/2 SULIT
12
-2 -1 O 1 2 3 4 5 6 7 8 x
E
F
G
K
RAJAH 7
5
2
3
1
6
4
Untuk Kegunaan Pemeriksa
SULIT
40 24 17 30 22 26 35 19
23 28 33 33 39 34 39 28
27 35 45 21 38 22 27 35
30 34 31 37 40 32 14 28
20 32 29 26 32 22 38 44
(a) Using data in diagram 8 and a class interval of RM 5 , complete the table 2 in the answer space [4 marks]
Answer :
Donations (RM) frequency Cumulative frequency
11 - 15
16 – 20
Table 2
(b) For this part of the questions, use the graph paper provided
By using a scale of 2 cm to RM 5 on the x- axis and 2 cm to 5 families on the y-axis, draw an ogive based on the data
[6 marks]
( c ) From your ogive in (b)( i ) Find the third quartile(ii ) hence, explain briefly the meaning of the third quartile
Answer :( c )
(i)
(ii)
15 (a) Complete Table 1 in the answer space fo the equation
x 3 2.5 2 -1 0 1 2 2.5
y 33 21.63 14 6 5 -9.63
Table 1[2 marks]
1449/2 SULIT13
Diagram 8
Untuk Kegunaan Pemeriksa
SULIT
For this part of the question, use the graph paper provided on page 31. You may use a flexible curve rule (c) By using a scale of 2 cm to 1 unit on the x-axis and 2 cm kepada 5 unit on the-yaxis, draw the
graph bagi nilai x dalam julat .
[4 marks]( c ) From your graph, find ( i) the value of y when x = 1.5 (ii) the value of x when y = 10
[2 marks](b) Draw a suitable straight line on your graph to find all the value of x which satisfy the
equation for .
State these values of x [4 marks]Answer :
(a)
x 3 2.5 2 -1 0 1 2 2.5
y 33 21.63 14 6 5 -9.63
Table 1 (c) ( i ) y = ____________________
( ii) x = _____________________
(d) x = _________________________ ,_________________________
[Lihat sebelah1449/2 SULIT
14
Untuk Kegunaan Pemeriksa
SULIT
1449/2 SULIT15