PT3

Mathematics (50)

Jawab semua soalan.Soalan 1

(a) Rajah 1 menunjukkan suatu garis nombor.

Tentukan nilai x, y dan x + y.

[3 Markah]Jawapan:

x : .

y :

x + y: ..

(b) (i) Hitung nilai bagi dan ungkapkan jawapan anda dalam bentuk

perpuluhan.Jawapan :

(b) (ii) Wang Adli ialah tiga kali wang Johan. Anita mempunyai RM200 kurang

daripada wang Johan. Jumlah wang mereka ialah RM 1 550.

Berapa banyakkah wang yang setiap daripada mereka peroleh?

Jawapan :Wang Adli : .

Wang Johan:

Wang Anita : ..

[4 Markah]( c) Puan Shima membeli tiga gulung reben merah untuk membuat 65 kuntum bunga.

Panjang setiap gulung reben itu ialah 3 m. Dia menggunakan 15 cm reben untuk

membuat sekuntum bunga.

Adakah tiga gulung reben itu mencukupi? Berikan alasan anda.Jawapan :[3 Markah]Soalan 2

(a) Dalam Rajah 2 di bawah, semua garis ialah garis lurus. Padankan dengan jawapan yang betul.

Jawapan :

i.

ii.

iii. [3 Markah](b) Lengkapkan langkah langkah berikut untuk mencari jawapan yang betul.

Answer :

[4 Marks](c) Puan Habibah mempunyai 15m kain. Dia menggunakannya untuk membuat

6 helai langsir dan 4 helai lapik meja.

Sehelai langsir memerlukan 1.35m kain dan sehelai lapik meja memerlukan

80 cm kain Berapakah panjang, dalam m, baki kain tersebut?

Jawapan: [3 Markah]Soalan 3

(a) Dalam ruang jawapan, tandakan ( ) bagi nama poligon yang betul dan ( X ) bagi nama poligon yang salah.

Jawapan :

[3 Markah](b) (i) Cari nilai x dalam setiap rajah yang berikut.

(a) (b)

Jawapan: (a) (b)[4 markah](c) Dalam Rajah 3 di bawah, RST ialah garis lurus.

.

Cari nilai x + y.Jawapan : [3 Markah]Soalan 4

(a) Padankan rajah berikut dengan jawapan yang sesuai.

Jawapan:[3 Markah] (b) Lengkapkan langkah langkah yang berikut untuk mencari jawapan yang betul.

.Jawapan:

[4 Markah](c) Berat sebuah bakul kosong ialah 2 kg. Apabila 7 biji betik yang bersaiz sama

diisi ke dalam bakul itu, beratnya ialah 12.5 kg. Hitung purata jisim, dalam g,

bagi setiap biji betik itu.

Jawapan:

[3 Markah]Question 5(a) Padankan jenis-jenis sudut dengan nilai-nilai sudut di bawah.Jawapan:

[3 Markah](b) (i) Cari saiz setiap sudut peluaran bagi sebuah pentagon sekata.

Jawapan :

(ii) Rajah menunjukkan sebuah heksagon sekata. Lukis dan nyatakan bilangan

paksi simetri bagi heksagon itu.Jawapan :

[4 Markah](c) Dalam Rajah 4 di bawah, PLNQ ialah garis lurus dan LM = MN.

Cari nilai x.[3 Markah]Jawapan:

Question 6

(a) Diagram below shows a cuboid. Name and state the number of parts of the

cuboid.

Answer :

3 Marks(b) (i) In the diagram below, O is the centre of the circle LMN. Given that LOM is a

straight line, find the value of x.Answer :

(ii) Identify the regular polygon with an interior angle of 135o.

4 Marks(c) The distance between R and S is 320 km. Raziq leaves R at 1430 hours. If he

wants to reach S at 1930 hours, what should his speed be ?

3Marks

Answer :

Question 7(a) Identify whether the following equations are linear equations in two variables. Write YES or NO in the box provided in the answer space.

Answer :i. ii. iii.

3 Marks

(b) (i) Simplify :

(ii) Find the value of

4 Marks(c) Diagram below shows a quadrilateral ABCD.

(i) Using only a ruler and a pair of compasses, construct the diagram, beginning from line AB provided in the answer space.(ii) Based on the diagram constructed in 7(c) (i) , measure the length, in cm, of AC.

3 Marks

Answer : (i) , (ii)

Question 8(a) In the answer space, match each of the equations with the correct graph of

function.

3 Marks

Answer : (i) (ii) (iii)

(b) Diagram below shows two triangles, ABC and ABC, which are drawn on a

Cartesian plane.

Triangle ABC is the image of triangle ABC under a clockwise rotation of 90o.(i) In the diagram, on the Cartesian plane mark the centre of rotation with P.

(ii) State the coordnates of P.

4 Marks

Answer : (i) , (ii)

(c)

Diagram above shows a container in the shape of a cuboid and another in the shape of a right cylinder. The cuboid is completely filled with water. All the water in the cuboid is poured into the cylinder. If the height of the water level in the cylinder is 8 cm, find the radius, in cm, of the base of the cylinder. 3 MarksAnswer :Question 9(a) Solve each of the following :(i) - 5 = 9 m(ii) p + 3 = 4p 3

53 Marks

Answer :

(i) (ii)

(b) 4 Marks

(i) Simplify 5(p 4) (2p + 3)

Answer :

(ii) Given that 3x = 5 2y, if y = -5, find the value of x.Answer :(c) The pie chart in the diagram below, illistrates the sales of various brands of petrol.

(i) What percentage of the total sales does Shell have ?

(ii) If Esso accounts for 30% of the total sales, calculate the angles of x and

y.

(iii) State the mode of the data.

3 Marks

Answer :

Question 10(a) In diagram below, V is the midpoint of QR.

(i) State the coordinates of V.

(ii) Find the coordinates of Q.

3 MarksAnswer :

(b) Use the graph paper on page 16 to answer this question.

Table below shows the values of two variables x and y of a function.

The x axis and the y axis are drawn on the graph paper on page 16.

(i) By using a scale of 2 cm to 2 units, complete and label the y axis.

(ii) Based on the table above, plot the points on the graph paper.

(iii) Hence, draw the graph of the function.

4 MarksGraph for Question 10 (b)

(c) In diagram shows two right angled triangles PQR and QST.

(i) Find the value of SQ.

(ii) It is given S is the mid point of QR and tan xo = 12 , 5

find the value of cos yo.

3 MarksAnswer :Sudut selang seli

EMBED Equation.3

Sudut pedalaman

EMBED Equation.3

Sudut sepadan

EMBED Equation.3

y = x + 2

y = -2x - 4

y = 2x - 2

Rajah 1

Rajah 2

a

b

c

d

Oktagon ( )

Heptagon ( )

Sisi empat ( )

Rajah 3

1600

500

x

y

Berserenjang

Tidak Selari

Selari

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

Sudut reflek

Sudut tegak

Sudut tirus

400

2360

900

KERTAS SOALAN TAMAT

PAGE 8NORAZAH AHMAD

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