Peperiksaan Akhir Tahun

SULIT

50/2

Mathematics

Paper 2

1 3/4 hours

PEPERIKSAAN AKHIR TAHUN

2009

FORM ONE

Question / Full Marks / Marks
1 / 2
2 / 3
3 / 2
4 / 4
5 / 3
6 / 3
7 / 3
8 / 4
9 / 3
10 / 2
11 / 2
12 / 4
13 / 2
14 / 4
15 / 3
16 / 3
17 / 4
18 / 3
19 / 3
20 / 3
Total 60

MATHEMATICS

Paper 2

One hour and forty five minutes

DO NOT OPEN THIS PAPER UNTIL YOU

ARE TOLD TO DO SO

1. This question paper consist of 20 questions.

2. Answer all questions.

3. Write your answer clearly in the spaces

provided in the question paper.

4. Show your working. It may help you to get

marks.

5. If you wish to change your answer, erase the answer that you have done. Then write down the new answer.

6. The diagrams in the questions provided are not

drawn to scale unless stated.

7. The marks allocated for each question are shown in the brackets.

8. This question paper must be handed in at the

end of the examination.

Kertas soalan ini mengandungi 15 muka surat yang bercetak

MATHEMATICAL FORMULAE

The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.

RELATIONS

1am x an = am + n

2.am ÷ an = am – n

3(am)n = amn

4Distance =

5Midpoint (x, y) =

6Average speed =

7Mean =

8 Pythagoras Theorem

c2 = a2 + b2

SHAPE AND SPACE

1 Area of rectangle = length  width

2 Area of triangle =  base  height

3 Area of parallelogram = base  height

4 Area of trapezium =  sum of parallel sides  height

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 = πr2h

12 Volume of cone = πr2h

13 Volume of sphere = πr3

14 Volume of right pyramid =  base area  height

15 Sum of interior angles of a polygon = (n – 2)  180o

16 =

17 =

18Scale factor, k =

19Area of image = k2  area of object

Paper 2 (60 marks) Time: 1 hour 45 minutes

Instruction: This question paper consists of 20 questions. Answer all questions. Write your answers clearly in the space provided. Show your workings. The diagrams in the questions provided are not drawn to scale unless stated. The usage of calculator is not allowed.

Arahan:Kertas soalan ini mengandungi 20 soalan. Jawab semua soalan. Jawapan hendaklah ditulis dengan jelas dalam ruang yang disediakan. Tunjukkan langkah-langkah penting. Rajah yang mengiringi soalan tidak dilukiskan mengikut skala kecuali dinyatakan. Penggunaan kalkulator tidak dibenarkan.

1 / a) Write the place value of the underlined digit.
Tuliskan nilai tempat bagi digit bergaris.
7 3 4 2 0 8 9
b) Calculate :
Hitungkan:
5019 + 19852 =
[2 marks / 2 markah]
Answer/Jawapan:
a)
b)
2 / a) Complete the following number sequences.
Lengkapkan turutan nombor berikut.
82, 78, ….., 70, ….., ….., ….., …..
b) Find the Highest Common Factors (HCF) of 36 and 48 [3 marks]
Cari Faktor Sepunya Terbesar (FSTB) bagi 36 dan 48 [3 markah]
Answer / Jawapan:
a)
b)
3 / Evaluate: 43 x (12 + 38) ÷ 10 [2 marks]
Nilaikan 43 x (12 + 38) ÷ 10 [2 markah]
Answer / Jawapan:
4 / Daniel received RM240 from his father. If he uses and of his money to buy story books and a dictionary respectively, how much of his money left? [4 marks]
Danial menerima RM240 daripada bapanya. Jika dia menggunakan dan daripada wangnya untuk membeli buku-buku cerita dan sebuah kamus masing-masing, berapa jumlah wang yang tinggal? [4 markah]
Answer / Jawapan:
5 / a) Write 0.05 as a percentage.
Tuliskan 0.05 sebagai peratus. [3 marks]
b) Convert 54% into a fraction in its lowest term.
Tukarkan 54% kepada pecahan dalam sebutan terendah. [3 markah]
Answer/ Jawapan:
a)
b)
6 / a) Write the coefficient of -12s.
Tuliskan pekali bagi -12s. [3 marks]
b) Simplify 3k + 4 + 6k - 3
Permudahkan 3k + 4 + 6k - 3 [3 markah]
Answer/ Jawapan:
a)
b)
7 / Evaluate 3 hours 45 minutes + 2 hours 35 minutes [3 marks]
Nilaikan 3 jam 45 minit + 2 jam 35 minit. [3 markah]
Answer/Jawapan:
8 / a) Calculate 37 - x 3.1 and express the answer as a decimal.
Kira 37 - x 3.1 dan nyatakan jawapan dalam perpuluhan
b) Evaluate -
Nilaikan - [4 marks] .
[4 markah]]
Answer/ Jawapan:
a)
b)
9 / A washing machine RM1000 is sold at RM700. Calculate the percentage of discount given? [3 marks]
Sebuah mesin basuh berharga RM1000 dijual pada harga RM700. Kira peratus diskaun yang diberikan? [3 markah]
Answer/Jawapan:
10 / By using a protractor, a ruler and a pencil, draw ABC = 120° on the line provided.
[2 marks]
Dengan menggunakan jangka sudut, pembaris dan pensil, lukis ABC = 120° di atas garisan yang disediakan. [2 markah]
Answer/ Jawapan:

11 / In the diagram below, ABC is a straight line. If AF // CD and BF// CE, find the value of y. [2 marks]
Dalam rajah di bawah, ABC ialah garis lurus. Jika AF // CD dan BF// CE, cari nilai bagi y. [2 markah]
Answer/ Jawapan:
12 / The price of a marker pen is RM (2y + 3) . If Hafizul bought 4 marker pens and Idris bought one marker pen, what is the amount they paid in algebraic expression?
[4 marks]
Harga sebatang pen marker ialah RM (2y + 3). Jika Hafizul membeli 4 batang pen marker dan Idris membeli sebatang pen marker, berapa jumlah yang perlu mereka bayar dalam ungkapan algebra? [4 markah]
Answer/ Jawapan:
13 / The diagram below is a polygon. Find the perimeter of the diagram. [2 marks]
Rajah di bawah ialah sebuah polygon. Cari perimeter bagi rajah tersebut.
[2 markah]
Answer/Jawapan:
14 / a) In the diagram, PQ and ST are straight lines. State the value of x.
Dalam rajah, PQ dan ST adalah garis lurus. Nyatakan nilai bagi x.

b) In the diagram below, JK and LM are straight lines. Find the value of a° + b°.
Dalam rajah di bawah, JK dan LM adalah garis lurus. Carikan nilai bagi a° + b°.
[4 marks / 4 markah]

Answer/Jawapan:
a)
b)
15 /
Based on the diagram above, PQR and AQS are straight lines.
What is the value of y ? [3 marks]
Berdasarkan rajah di atas, PQR dan AQS adalah garis lurus.
Apakah nilai bagi y ? [3 markah]
16 / In the diagram, QR = TS, PQ = PT. The perpendicular distance from P to RS
is 8 cm. Calculate the area in cm² of PQRT. [3 marks]
Dalam rajah, QR = TS, PQ = PT. Jarak berserenjang dari P ke RS ialah 8 cm. Kirakan luas PQRT dalam cm². [3 markah]

Answer/ Jawapan:
17 / In the diagram below, trapezium ABCD has an area of 49 cm².
Find the length of BC. [4 marks]
Dalam rajah di bawah, luas trapezium ABCD ialah 49 cm².
Cari panjang BC. [4 markah]
Answer/ Jawapan:
18 / Fill in the table below: [3 marks]
Lengkapkan jadual di bawah [3 markah]
Solid (Cube)
Pepejal (Kiub) / Number of
Vertex
Bilangan Bucu / Number of edges
Bilangan Sisi / Shape of the faces
Bentuk Permukaan

19 / In the diagram, PQRSTU is a rectangle. If Q is a midpoint of PR , find the area
in cm², of the shaded region. [3 marks]
Dalam rajah, PQRSTU ialah segiempat tepat. Q adalah titik tengah bagi PR, cari luas bagi kawasan berlorek dalam cm² . [3 markah]

Answer/Jawapan:
20 / A container in the form of a cuboid is 12 m long, 7 m wide and 9 m high. Calculate the volume of the water, in m³, in the container when it is half full. [3 marks]
Sebuah bekas berbentuk kuboid berukuran 12 m panjang, 7 m lebar dan 9 m tinggi. Kirakan isipadu air, dalam m³, apabila bekas diisi separuh penuh. [3 markah]
Answer/Jawapan:

@ PKPSM Cawangan Pahang 2009