Presentation PT3

PMR07 - PMR08PMR09PMR10PMR11PMR12

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Tiada

PMR07 - PMR08PMR09PMR10PMR11PMR12

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Tiada

MATHS Catch

Professional Maths Centre

BENGKEL AKHIR PT3

Persediaan Terakhir Matematik

2014

Disediakan Oleh:

Cikgu Mohd Rajaei Bin Mohamad Ali

FORMAT INSTRUMEN PENTAKSIRAN TINGKATAN 3 (PT3)

MATHEMATICS (50)

BILPERKARAKETERANGANJenis instrumentUjian BertulisJenis Item(a) Respons Terbuka

(b) Respons TerhadBilangan Soalan 10 SoalanJumlah Markah100 MarkahTempoh2 jamKonstruk(a) Pengetahuan dan kefahaman tentang konsep,hokum,prinsip dan teori berkaitan dengan Nombor,bentuk dan perkaitan

(b) kemahiran asas matematik

(c) Kemahiran mengendalikan operasi

(d) Kemahiran berkomunikasi dan menaakul secara matematik

(e) Kemahiran menyelasaikan masalah

(f) Kemahiran menghitung

Kaedah PenskoranAnalitik

BODMAS

Analisis Peperiksaan 2005 - 2013

SOALAN 1

Cadangan 7:

Calculate the value of

4 - EQ \B(2.21 - 6.67) (-2).

Cadangan 6:

Calculate the value of

-4.2 6.3 - 4EQ \F(1,8) .


SOALAN 5 (C)

LINEAR EQUATION


PMR08PMR09PMR10PMR11PMR12 a) EMBED Equation.3

b) EMBED Equation.3 a) EMBED Equation.3




b) EMBED Equation.3

Cadangan 11

Johan's money is three times Kenny's money. Lily has RM200 less than Kenny. The total amount of their money is RM1 550.

How much does each of them have?

Answer

Johan's money: ....................

.

Kenny's money: .....................

Lily's money:.....................

Cadangan 10

The number of male members in a swimming club is nine times the number of female members. The total of male members becomes 90 after nine new male members have joined in. Find the number of female members in that club.Bilangan ahli lelaki dalam sebuah kelab renang ialah sembilan kali bilangan ahli perempuan. Jumlah ahli lelaki menjadi 90 selepas sembilan ahli lelaki baru telah memasuki kelab itu. Cari bilangan ahli perempuan yang ada dalam kelab tersebut.

SQUARES, SQUARES ROOTS, CUBE, CUBE ROOTS


PMR08PMR09PMR10PMR11PMR12 EMBED Equation.3

EMBED Equation.3 EMBED Equation.3




EMBED Equation.3

SOALAN 2 (B)

Cadangan 17 :

Calculate the value of EQ \R(,1EQ \F(32,49) ) EQ \R(,1EQ \F(13,36) ).Hitung nilai EQ \R(,1EQ \F(32,49) ) EQ \R(,1EQ \F(13,36) ).

Cadangan 18:

Complete the following steps.

Cadangan 19:

Complete the following steps.

SOALAN 3 (C)

Cadangan 29:

A rope measuring 112 cm is cut into 3 pieces. The ratio of the length of each pieces is 2 : 9 : 3. Find the length, in cm, between the longest piece and the shortest piece.Seutas tali berukuran 112 cm dipotong kepada 3 bahagian. Nisbah panjang setiap bahagian ialah 2 : 9 : 3. Cari panjang, dalam cm, antara bahagian yang terpanjang dan bahagian yang terpendek.

[3 marks][3 markah]

Cadangan 28:

A sum of money is divided into three parts according to the ratio 3: 8: 4. The smallest portion is RM90. Calculate the total sum, in RM, of the money.Sejumlah wang dibahagikan kepada tiga bahagian mengikut nisbah 3: 8: 4. Bahagian yang terkecil ialah RM90. Hitung jumlah, dalam RM, wang itu.

[3 marks][3 markah]

Answer:Jawapan:

ENGLARGMENT

EMBED Equation.3

SOALAN 5 (C)

Cadangan 43 (b):

Cadangan 43 (a):

In Diagram 6, quadrilateral B is the image of quadrilateral A under an enlargement.Dalam Rajah 6, sisi empat B ialah imej bagi sisi empat A di bawah suatu pembesaran.

Given that the area of A is 8 cm2, calculate the area of B.Diberi luas A ialah 8 cm2, kirakan luas B.

[2 marks]

Answer:

CIRCLES III

SOALAN 6

Cadangan 45

Diagram 8 shows a circle PQRS. PTR is a diameter of the circle. QTS is a straight line.Rajah 8 menunjukkan sebuah bulatan PQRS. PTR ialah diameter bulatan itu. QTS adalah garis lurus.

Find the value of n.

Cadangan 47:

Diagram 9 shows a circle PQRST.Rajah 9 menunjukkan sebuah bulatan PQRST.

Find the value of x + y.Cari nilai x + y.]

Cadangan 48:

Diagram 1 shows a circle ABCDE.Rajah 1 menunjukkan sebuah bulatan ABCDE.

Find the value of x + y.Cari nilai x + y.

TAHUKAH ANDA !

Tentang Soalan Kemahiran

Berfikir Aras Tinggi (KBAT)

atau HOTs ?

SOALAN ARAS RENDAH

1

Find the value of x + y.Cari nilai x + y.

Cadangan 46: SOALAN ARAS TINGGI

KBAT @ HOTS

Find the possible values of x, y and z.

SCALE DRAWING

EMBED Equation.3

SOALAN 7

Cadangan 49:

Cadangan 50:

Ramalan Tambahan 1:

Diagram 2 shows a trapezium.

By using the scale 1 : 200, draw the trapezium on below square grids with sides of 1 cm.

Ramalan Tambahan 2:

Diagram 1 shows a trapezium.

By using the scale 1 : 500, draw the trapezium on below square grids with sides of 1 cm.

INDICES

EMBED Equation.3

SOALAN 7 (B)

Cadangan 51

Evaluate EQ \F(5\A(EQ \F(1,2) ,) 3125\A(EQ \F(1,2) ,),3125\A(EQ \F(4,5) ,)).


PMR08PMR09PMR10PMR11PMR12Find Value

(a) EMBED Equation.3

EMBED Equation.3 Evaluate

EMBED Equation.3 Find Value


(b) EMBED Equation.3 Find Value


(b) EMBED Equation.3 Find Value


(b) EMBED Equation.3

LINEAR INEQUALITIES

SOALAN 8 (A)

Cadangan 56:

List all the integer values of p which satisfy both the inequalities EQ \F(5,9) p > 5 and 29 - 2p 5.Senaraikan semua nilai p yang memuaskan kedua-dua ketaksamaan EQ \F(5,9) p > 5 dan 29 - 2p 5.

[3 marks][3 markah]

Cadangan 55:

List all the integer values of x which satisfy both the inequalities 3x < -3 and -5 - 2x 3.Senaraikan semua nilai x yang memuaskan kedua-dua ketaksamaan 3x < -3 dan -5- 2x 3.

[3 marks][3 markah]

TRANSFORMATION

SOALAN 8 (B)

Cadangan 58:

In Diagram 1, P'Q'R'S' is the image of PQRS under a rotation through 90 clockwise.Dalam Rajah 1, P'Q'R'S' ialah imej PQRS di bawah suatu putaran melalui 90 ikut arah jam.

On the diagram, label the centre W.

Cadangan 59:

Diagram 2 shows three triangles X, Y and Z drawn on a Cartesian plane.

(a)Y is the image of X under a transformation. Describe in full the transformation.(b)Z is the image of X under a rotation of 90. State

(i)the direction of the rotation,(iI)the centre of rotation.

SOLID GEOMETRY

SOALAN 8 (C)

Cadangan 62:

Diagram 2 shows three hemispheres arranged side by side in a straight line.

Given that the volume of a hemisphere is 56EQ \F(4,7) cm3. Find the value of d. (Guna = EQ \F(22,7) )

Cadangan 61:

Diagram 1 shows a composite solid comprises of a hemisphere and a cone.

Given that the volume of the solid is 1848 cm3. Find the value of c. (Guna = EQ \F(22,7) )

[3 marks]

Cadangan 60

Diagram 14 shows a container in the shape of a right prism filled with some water.Rajah 14 menunjukkan sebuah bekas berbentuk prisma tegak yang diisikan dengan sejumlah air.

Calculate the volume of water needed to fill up the container.Hitung isi padu air yang diperlukan untuk memenuhi bekas itu.

ALGEBRAIC EXPRESSION

EMBED Equation.3

SOALAN 9 (A)

Cadangan 64:

Factorise completely.Faktorkan dengan lengkapnya.

(a)15x2 + 18xy(b)a2 - 3(a + 2) - (-4 - 2a)

[3 marks]

Cadangan 65:

Factorise completely.Faktorkan dengan lengkapnya.

(a)8m + 16mn(b)2h2 - 32

[3 marks]

Cadangan 66:

Express EQ \F(5,7d) - EQ \F(d + 2,6d2) as a single fraction in its simplest form.

[3 marks]

Cadangan 67:

Simplify (2p2q + 4pq) EQ \F(4,2 + p).

[3 marks]

ALGEBRAIC FORMULAE

SOALAN 9 (B)

Cadangan 70:

Given that EQ \F(6(4m - 9n),8n + 7) = 9, express m in terms of n.

Cadangan 69:

If r = EQ \F(5q - 8p2,8p), then find the value of q when p = 7 and r = 5.

Cadangan 71:

Given that EQ \F(8p - 3,p + 3q) = 7, express p in terms of q.

Cadangan 72:

Given that 5a = EQ \F(5b,\R(,3c)), express c in terms of a and b.

GRAPHS OF FUNCTION

SOALAN 10 (A)

Cadangan 76

Table 17 shows the values of two variables, x and y, of a fuction.Rajah 17 menunjukkan nilai-nilai dua pemboleh ubah x dan y bagi suatu fungsi.

x012345678y46454237302110-3-18

(a)By using scales of 2 cm to 1 unit on the x-axis and 2cm to 10 units on the y-axis, label both axes.Dengan menggunakan skala 2 cm kepada 1 unit pada paksi-x dan 2 cm kepada 10 unit pada paksi-y, labelkan kedua-dua paksi. (b)Based on the table, plot the points on a graph paper.Berdasarkan jadual itu, plotkan titik-titik itu pada kertas graf. (c)Draw the graph of the function.Lukiskan graf fungsi itu. [2 marks][2 markah]

TRIGONOMETRY

EMBED Equation.3

SOALAN 10 (B)

Cadangan 78:

In Diagram 1, BDC is a straight line.Dalam Rajah 1, BDC adalah garis lurus.

Given that cos x = EQ \F(3,5) and tan y = 1EQ \F(1,3) , find the length of BD.Diberi cos x = EQ \F(3,5) dan y = 1EQ \F(1,3) , cari panjang BD.

Cadangan 79:

In Diagram 2, ABC and ACD are right-angled triangles.

Given that AC = 25 cm and sin y = EQ \F(24,25) .

(a)Find the value of tan x.Cari nilai tan x. (b)Calculate the length of BC.Hitung panjang BC.

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Presentation PT3