I.S.C. Class XII MATHEMATICS Sample Papers 2016APEX INSTITUTE
Dear Students/Parents We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center. We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching. Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears. We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth. Committed to excellence... With best wishes. S . Iqbal ( Motivator & Mentor)
Right foundation at the right stage is the most important factor in the success of any student in exam and in life the APEX IIT / PMT foundation program is aimed at students studying in class XI, who aspire to prepare for engineering / medical entrance in future. The program keeps the school curriculum as base and further upgrades the students’ knowledge to meet the requirements of competitive exams. The program has been design in a way so as to develop orientation of the students as well as to motivate him to excel in competitive exams.
Two Year Classroom Program is the ideal program for students who wish to start early in their quest for a seat at the IITs. This program helps the student not only to excel in IIT-JEE but also in Olympiads & KVPY by building a strong foundation, enhance their IQ & analytical ability and develop parallel thinking processes from a very early stage in their academic career. Students joining this program will have more time to clear their fundamentals and practice extensively for IIT-JEE, their ultimate goal!
I.S.C. Class XII MATHEMATICS Sample Papers 2016APEX INSTITUTE
Dear Students/Parents We at 'Apex Institute' are committed to provide our students best quality education with ethics. Moving in this direction, we have decided that unlike other expensive and 5star facility type institutes who are huge investors and advertisers, we shall not invest huge amount of money in advertisements. It shall rather be invested on the betterment, enhancement of quality and resources at our center. We are just looking forward to have 'word-of-mouth' publicity instead. Because, there is only a satisfied student and his/her parents can judge an institute's quality and it's faculty members coaching. Those coaching institutes, who are investing highly on advertisements, are actually, wasting their money on it, in a sense. Rather, the money should be invested on highly experienced faculty members and on teaching gears. We all at 'Apex' are taking this initiative to improve the quality of education along-with each student's development and growth. Committed to excellence... With best wishes. S . Iqbal ( Motivator & Mentor)
Right foundation at the right stage is the most important factor in the success of any student in exam and in life the APEX IIT / PMT foundation program is aimed at students studying in class XI, who aspire to prepare for engineering / medical entrance in future. The program keeps the school curriculum as base and further upgrades the students’ knowledge to meet the requirements of competitive exams. The program has been design in a way so as to develop orientation of the students as well as to motivate him to excel in competitive exams.
Two Year Classroom Program is the ideal program for students who wish to start early in their quest for a seat at the IITs. This program helps the student not only to excel in IIT-JEE but also in Olympiads & KVPY by building a strong foundation, enhance their IQ & analytical ability and develop parallel thinking processes from a very early stage in their academic career. Students joining this program will have more time to clear their fundamentals and practice extensively for IIT-JEE, their ultimate goal!
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“To be integrated is to feel secure, to feel connected.” The views and experi...AJHSSR Journal
ABSTRACT: Although a significant amount of literature exists on Morocco's migration policies and their
successes and failures since their implementation in 2014, there is limited research on the integration of subSaharan African children into schools. This paperis part of a Ph.D. research project that aims to fill this gap. It
reports the main findings of a study conducted with migrant children enrolled in two public schools in Rabat,
Morocco, exploring how integration is defined by the children themselves and identifying the obstacles that they
have encountered thus far. The following paper uses an inductive approach and primarily focuses on the
relationships of children with their teachers and peers as a key aspect of integration for students with a migration
background. The study has led to several crucial findings. It emphasizes the significance of speaking Colloquial
Moroccan Arabic (Darija) and being part of a community for effective integration. Moreover, it reveals that the
use of Modern Standard Arabic as the language of instruction in schools is a source of frustration for students,
indicating the need for language policy reform. The study underlines the importanceof considering the
children‟s agency when being integrated into mainstream public schools.
.
KEYWORDS: migration, education, integration, sub-Saharan African children, public school
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Non-Financial Information and Firm Risk Non-Financial Information and Firm RiskAJHSSR Journal
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companies. Using cross section data from 355 companies listed in Indonesia Stock Exchange, data regarding
ESG disclosure and risk was collected. In this research, ESG and risk disclosures are measured based on content
analysis using GRI 4 guidelines for ESG disclosures and COSO ERM for risk disclosures. Using multiple
regression, it is concluded that only risk disclosure can reduce the company's total risk, while ESG disclosure
cannot affect the company's total risk. This shows that only risk disclosure is relevant in determining a
company's total risk.
KEYWORDS: ESG disclosure, risk disclosure, firm risk
Exploring Factors Affecting the Success of TVET-Industry Partnership: A Case ...AJHSSR Journal
ABSTRACT: The purpose of this study was to explore factors affecting the success of TVET-industry
partnerships. A case study design of the qualitative research method was used to achieve this objective. For the
study, one polytechnic college of Oromia regional state, and two industries were purposively selected. From the
sample polytechnic college and industries, a total of 17 sample respondents were selected. Out of 17
respondents, 10 respondents were selected using the snowball sampling method, and the rest 7 respondents were
selected using the purposive sampling technique. The qualitative data were collected through an in-depth
interview and document analysis. The data were analyzed using thematic approaches. The findings revealed that
TVET-industry partnerships were found weak. Lack of key stakeholder‟s awareness shortage of improved
training equipment and machines in polytechnic colleges, absence of trainee health insurance policy, lack of
incentive mechanisms for private industries, lack of employer industries involvement in designing and
developing occupational standards, and preparation of curriculum were some of the impediments of TVETindustry partnership. Based on the findings it was recommended that the Oromia TVET bureau in collaboration
with other relevant concerned regional authorities and TVET colleges, set new strategies for creating strong
awareness for industries, companies, and other relevant stakeholders on the purpose and advantages of
implementing successful TVET-industry partnership. Finally, the Oromia regional government in collaboration
with the TVET bureau needs to create policy-supported incentive strategies such as giving occasional privileges
of duty-free import, tax reduction, and regional government recognition awards based on the level of partnership
contribution to TVET institutions in promoting TVET-industry partnership.
KEY WORDS: employability skills, industries, and partnership
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The Challenges of Good Governance and Project Implementation in Nigeria: A Re...AJHSSR Journal
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variation of project design have been the causative factors that undermine projects implementation in postindependence African states, particularly in Nigeria. The study, thus, argued that successive governments of
African states, using Nigeria as a case study, have been deeply engrossed in this obnoxious practice that has
undermined infrastructure sector development as well as enthroned impoverishment and mass poverty in these
African countries. This study, therefore, is posed to examine the similarities in causative factors, effects and
consequences of corruption and how it affects governance, projects implementation and national growth. To
achieve this, the study adopted historical research design which is qualitative and explorative in nature. The
study among others suggests that the governments of developing countries should shun corruption and other
forms of obnoxious practices in order to operate effective and efficient systems that promote good governance
and ensure there is adequate projects implementation which are the attributes of a responsible government and
good leadership. Policy makers should also prioritize policy objectives and competence to ensure that policies
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KEYWORDS: Developing Countries, Nigeria, Government, Project Implementation, Project Failure
The Challenges of Good Governance and Project Implementation in Nigeria: A Re...
Qp matematik k1 ting 1
1. SULIT 50/1
50/1
Matematik
Kertas 1
November
2009
4
1
1 jam
PEPERIKSAAN AKHIR TAHUN
2009
MATEMATIK
TINGKATAN SATU
Kertas 1
Satu Jam Lima Belas Minit
DO NOT OPEN THE QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO
1. Kertas soalan ini adalah dalam dwi bahasa .
2. Soalan dalam bahasa Inggeris mendahului soalan yang sepadan dalam bahasa Melayu. .
INFORMATION FOR CANDIDATES
1. This question paper consists of 40 questions.
2. Answer all questions.
3. Each question is followed by four alternative answers, A, B, C or D. For each question,
choose one answer only. Blacken your answer on the objective answer sheet provided.
4. If you wish to change your answer, erase the blackened mark that you have made. Then
blacken the new answer.
5. The diagrams in the questions provided are not drawn to scale unless stated.
6. A list of formulae is provided.
7. You may use a non-programmable scientific calculator
2. Kertas soalan ini mengandungi 17 halaman bercetak
@ PKPSM Cawangan Pahang 2009
2
3. MATHEMATICAL FORMULAE
The following formulae may be helpful in answering the questions. The symbols given are the ones
commonly used.
RELATIONS
1 am
x an
= am + n
2. am
÷ an
= am – n
3 (am
)n
= amn
4 Distance =
22
)()(
1212
yyxx −+−
5 Midpoint (x, y) =
++
2
,
2
2121 yyxx
6 Average speed =
takentime
travelleddistance
7 Mean =
dataofnumber
dataofsum
8 Pythagoras Theorem
c2
= a2
+ b2
SHAPE AND SPACE
1 Area of rectangle = length × width
2 Area of triangle =
2
1
× base × height
3 Area of parallelogram = base × height
4 Area of trapezium =
2
1
× sum of parallel sides × height
@ PKPSM Cawangan Pahang 2009
3
4. 5 Circumference of circle = πd = 2πr
6 Area of circle = πr2
7 Curved surface area of cylinder = 2πrh
8 Surface area of sphere = 4πr2
9 Volume of right prism = cross sectional area × length
10 Volume of cuboids = length × width × height
11 Volume of cylinder = πr2
h
12 Volume of cone =
3
1
πr2
h
13 Volume of sphere =
3
4
πr3
14 Volume of right pyramid =
3
1
× base area × height
15 Sum of interior angles of a polygon = (n – 2) × 180o
16
circleofncecircumfere
lengtharc
= o
360
centreatsubtendedangle
17
circleofarea
sectorofarea
= o
360
centreatsubtendedangle
18 Scale factor, k =
PA
AP ′
19 Area of image = k2
× area of object
@ PKPSM Cawangan Pahang 2009
4
5. Instruction: This question paper consists of 40 questions. Answer all questions. Each
question is followed by four choices of answers A, B, C and D. For each question, choose
one answer only. The diagrams in the questions provided are not drawn to scale unless
stated.
Arahan : Kertas soalan ini mengandungi 40 soalan. Jawab semua soalan. Setiap soalan
diikuti oleh empat pilihan jawapan iaitu A, B, C dan D. Untuk setiap soalan, pilih satu
jawapan sahaja. Gambarajah yang disediakan dalam setiap soalan tidak dilukiskan
mengikut skala kecuali dinyatakan.
1 Find the place value of the digit 8 in 68 320
Cari nilai tempat bagi digit 8 dalam 68 320
A Thousands
Ribu
B Ten thousands
Puluh ribu
C Hundreds
Ratus
D Eight thousand
Lapan ribu
2 There are 18 male students and 13 female students in Form 1 Anggerik. Each male
student pays RM8 for the sports T-shirt whereas the female student pays
RM11.Calculate the total payment.
Terdapat 18 murid lelaki dan 13 murid perempuan di Tingkatan 1 Anggerik. Setiap
murid lelaki membayar RM 8 untuk baju sukan dan setiap murid perempuan
membayar RM11 untuk baju sukan. Kira jumlah bayaran mereka.
A RM288
B RM287
C RM290
D RM350
@ PKPSM Cawangan Pahang 2009
5
6. 3 Which of the following is not a factor of 120?
Yang mana bukan faktor bagi 120?
A 8
B 12
C 18
D 24
4 Find the HCF of 42 and 63.
Cari FSTB bagi 42 dan 63.
A 63
B 9
C 7
D 21
5 Write
27
100
as a decimal.
Tulis
27
100
sebagai nombor perpuluhan
A 0.027
B 0.27
C 2.7
D 0.0027
6 Express
3
8
as a percentage.
Nyatakan
3
8
sebagai peratus.
A 30%
B 37.5%
C 80%
D 0.375%
@ PKPSM Cawangan Pahang 2009
6
7. 7 Evaluate
25 5 5
10 100 1000
+ +
Cari nilai
25 5 5
10 100 1000
+ +
A 2.555
B 3.05
C 2.0555
D 3.055
8 The selling price of ikan tenggiri is RM6 per kg. One week later, the price increased
to RM7.50 per kg. Find the percentage of increase.
Harga jualan ikan tenggiri ialah RM6 per kg. Satu minggu kemudian, harga telah
meningkat kepada RM7.50 per kg. Cari peratus tambahan kenaikan harga..
A 20%
B 25%
C 0.2%
D 0.25%
9 Evaluate 10.94 × 2.7 and correct your answer to two decimal places.
Cari nilai 10.94 × 2.7 dan beri jawapan tepat kepada dua tempat perpuluhan
A 29.53
B 29.538
C 29.55
D 29.54
@ PKPSM Cawangan Pahang 2009
7
8. 10 Which of the following fraction is not an improper fraction?
Di antara pecahan berikut, yang manakah pecahan tak wajar?
A
8
9
B
12
12
C
13
12
D
45
8
11 Which of the following product is not equal to 72?
Hasil darab yang manakah tidak sama nilai dengan 72?
A 4 × 18
B 2 × 36
C 6 × 13
D 8 × 9
12 Round off 7524 kg to the nearest tonne.
Bundarkan 7524 kg kepada tan yang terhampir.
A 75
B 80
C 8
D 7
@ PKPSM Cawangan Pahang 2009
8
9. 13 From the following statements, choose the statement is which the x represents an
unknown.
Diantara pernyataan berikut, pilih pernyataan di mana x mewaikili anu.
A Weng Keat has RM500 in saving account of Bank x
Weng Keat mempunyai RM500 di dalam akaun simpanan di Bank x
B Razali completes his homework in x minutes.
Razali menyiapkan kerja rumahnya dalam x minit
C School x has 1527 students.
Sekolah x mempunyai 1527 murid
D Nathan takes part in event x.
Nathan mengambil bahagian dalam acara x.
14 Nazri attends the football training session for 1 hour 20 minutes daily. Calculate the
total time spent by him in training from Monday to Friday.
Nazri menghadiri latihan bola sepak selama 1 jam 20 minit setiap hari. Hitung
jumlah masa yang dia gunakan untuk latihan bola sepak daripada hari Isnin ke hari
Jumaat.
A 7 hours 20 minutes
7 jam 20 minit
B 6 hours 40 minutes
6 jam 40 minit
C 5 hours 56 minutes
5 jam 56 minit
D 8 hours 10 minutes
8 jam 10 minit
@ PKPSM Cawangan Pahang 2009
9
10. 15
Diagram 1 / Rajah 1
What is the shape of the solid geometry as shown in Diagram 1?
Apakah bentuk pepejal geometri yang ditunjukkan dalam Rajah 1
A Cuboid
Kuboid
B Cube
Kiub
C Cylinder
Silinder
D Sphere
Sfera
16
In Diagram 2, PQR is a straight line. Which line is
perpendicular to the line PQR?
Dalam Rajah 2, PQR ialah garis lurus. Garis manakah
adalah berserenjang
kepada garis PQR?
A BQ
B PQ
C AQ
@ PKPSM Cawangan Pahang 2009
10
P R
30°
60°
40°
Q
B A
Diagram 2
Rajah 2
5 cm
5 cm
5 cm
12. 17
In Diagram 3, PQR is a straight line. The value of x + y is
Dalam Rajah 3, PQR ialah garis lurus. Nilai bagi x + y ialah
A 65°
B 85°
C 95°
D 75°
18
Diagram 4 / Rajah 4
In Diagram 4, ABCD is a square and ADE is an equilateral triangle. Find its
perimeter, in cm.
Dalam Rajah 4, ABCD ialah segiempat sama. ADE ialah segitiga sama sisi.
Cari perimeternya, dalam cm.
A 18
B 24
C 30
D 36
@ PKPSM Cawangan Pahang 2009
105°
X y
P Q R
Diagram 3
Rajah 3
12
B A
6cm E
C D
13. 19 There is 6.3 liters of water in the tub. All of the water is poured into a cuboid
container. If the length and width of the cuboid container are 21 cm and 20 cm
respectively, find the height, in cm, of the water level in the container.
Terdapat 6.3 liter air dalam tangki. Kesemua air itu dituangkan ke dalam bekas
berbentuk kuboid. Diberi panjang dan lebar bekas kuboid itu ialah masing-masing
21 cm dan 20 cm, cari tinggi, dalanm cm, bagi paras air dalam bekas itu.
A 12
B 13
C 14
D 15
20 Which of the following pairs of term are like terms?
Antara pasangan sebutan berikut, yaag manakah ialah sebutan serupa?
A 3p, 2
5p
B pq2
, p2
C - 5x ,
2
x
D r,10
21
Diagram 5
Rajah 5
State the number of lines of symmetry for the figure as shown in diagram 5.
Nyatakan bilangan garis simetri bagi bentuk dalam Rajah 5.
A 0
@ PKPSM Cawangan Pahang 2009
13
14. B 1
C 2
D 3
22 State the three prime numbers which are greater than 28.
Nyatakan tiga nombor perdana yang lebih besar daripada 28.
A 29, 31, 33
B 29, 31, 37
C 29, 31, 35
D 29, 35, 37
23 Which of the following fraction is not equivalent to
3
4
?
Antara pecahan berikut, yang manakah tidak sama dengan
3
4
?
A
6
8
B
12
16
C
9
12
D
15
21
24 The price of 5.5 m cloth for sewing curtains is RM47.52. Find the price of 1m of such
cloth.
Harga bagi 5.5 m kain untuk menjahit langsir ialah RM47.52. Cari harga bagi 1 m
kain itu.
A RM8.84
B RM8.74
C RM8.60
D RM8.64
@ PKPSM Cawangan Pahang 2009
14
15. 25 Find the value of
2
3
5
÷
Cari nilai bagi
2
3
5
÷
A
B
15
2
C
6
5
D
2
15
26 Choose the integer from the numbers below.
Pilih integer daripada nombor-nombor berikut.
A 0
B
3
4
−
C 3.2
D
1
1
2
27 Which of the following is not a polygon?
Antara berikut, yang manakah bukan polygon?
A C
B D
@ PKPSM Cawangan Pahang 2009
15
16. 28
Diagram 6 / Rajah 6
In Diagram 6 above, find the value of x
Dalam Rajah 6, cari nilai x
A 30º
C 90º
B 60º
D 45º
29 The Science examination lasts for 1 hour 15 minutes. If the examination ends at
0955, state the time in 24 hour system, the starting time of the examination.
Peperiksaan Sains adalah selama 1 jam 15 minit. Jika peperiksaan itu tamat pada
0955, nyatakan masa, dalam sistem 24 jam, peperiksaan itu bermula. .
A 0810
B 0820
C 0830
D 0840
30
Diagram 7 / Rajah 7
Diagram 7 above shows a number line. Find the value of (p + q).
Rajah 7 menunjukkan garis nombor. Cari nilai bagi (p + q).
A -14
B 14
C 16
D -16
31 Pilih faktor perdana bagi 45.
A 3, 5 and 9
B 3 and 5
C 1, 3 and 5
@ PKPSM Cawangan Pahang 2009
16
xº
-16 p -8 q 4
17. D 3, 5 and 45
32 Nikki is 1 m 68 cm tall and her sister is 129 cm tall. Find the difference between their
heights, in cm.
Ketinggian Nikki ialah 1 m 68 cm dan adiknya ialah 129 cm. Carikan beza
ketinggian mereka, dalam cm
A 29
B 39
C 49
D 33
33
Diagram 8 / Rajah 8
Calculate the area, in cm² of the shaded region in Diagram 8
Kirakan luas, dalam cm², bagi kawasan berlorek dalam Rajah 8
A 32
B 64
C 96
D 128
34 Evaluate
1 5
3 2 1
4 8
− ÷ − = ÷ ÷
Cari nilai
1 5
3 2 1
4 8
− ÷ − = ÷ ÷
A
1
3
7
B
1
1
2
C
1
7
3
D
1
2
4
35
@ PKPSM Cawangan Pahang 2009
17
8 cm
x + 2
x + 1
2x + 3
18. Diagram 9 / Rajah 9
Diagram 9 shows a triangle. Find the perimeter of the triangle.
Rajah 9 menunjukkan sebuah segitiga. Carikan perimeter segitiga tersebut.
A 4x + 5
B 4x + 6
C 3x + 6
D x + 2
36 The LCM of 4, 6 and x is 48.What is the possible value of x?
GSTK bagi 4, 6 dan x ialah 48.Apakah nilai yang mungkin bagi x?
A 18
B 24
C 12
D 16
37 Which of the following is an acute angle?
Antara yang berikut, yang manakah sudut tirus?
A 88°
B 92°
C 157°
D 188°
38 The place value of digit 8 in 2.384 is
Nilai tempat bagi digit 8 dalam nombor 2.384 ialah
A unit / unit
B tenths / persepuluh
C hundredths / perseratus
D thousandths / Perseribu
@ PKPSM Cawangan Pahang 2009
18
19. 39
Diagram 10 / Rajah 10
Calculate the area, in cm2
, of the shaded region.
Kira luas bagi kawasan berlorek, dalam cm2
A 144
B 90
C 54
D 36
40
Diagram 11 / Rajah 11
In Diagram 11, find the value of x
Dalam Rajah 11, cari nilai bagi x
A 47º
C 67º
B 57º
D 77º
@ PKPSM Cawangan Pahang 2009
19
93° 125°
8° x
8 cm
18 cm