kami juara

8/9/2019 Kami Juara

http://slidepdf.com/reader/full/kami-juara 1/52

PROGRAMPROGRAM`̀

KAMI JUARAKAMI JUARA´́

2010 2010

MATEMATIK PMRMATEMATIK PMR(KERTAS 2)(KERTAS 2)

Tingkatan 1 & 2Tingkatan 1 & 2

Dewan SMK (A) Sharifah RodziahDewan SMK (A) Sharifah Rodziah16 Mac 201016 Mac 2010

8/9/2019 Kami Juara


APAKAH AKTIVITI KITA HARI INI? APAKAH AKTIVITI KITA HARI INI? Analisis ringkas soalanAnalisis ringkas soalan--soalan Matematik soalan Matematik

PMR bagi Tingkatan 1 & 2 (2005PMR bagi Tingkatan 1 & 2 (2005 ² ² 2006).2006).

-- Apakah topik yang disoal?Apakah topik yang disoal?-- Bila dan bagaimanakah bentuknya?Bila dan bagaimanakah bentuknya?

-- Berapa kerap ia disoal?Berapa kerap ia disoal?

Latih tubi & teknik menjawabLatih tubi & teknik menjawab Sesi soal jawabSesi soal jawab

8/9/2019 Kami Juara


JUMLAH MARKAH DIPERUNTUKKANJUMLAH MARKAH DIPERUNTUKKANUNTUK TOPIK TINGKATAN 1 & 2UNTUK TOPIK TINGKATAN 1 & 2

JUMLAH MARKAH KESELURUHANJUMLAH MARKAH KESELURUHAN

KERTAS 1 : 40 MARKAHKERTAS 1 : 40 MARKAHKERTAS 2 : 60 MARKAHKERTAS 2 : 60 MARKAHJUMLAH : 100 MARKAHJUMLAH : 100 MARKAH

MARKAH KERTAS 2 UNTUK TINGKATAN 1 & 2

2525 ±± 30 DARIPADA KESELURUHAN MARKAH (K2)30 DARIPADA KESELURUHAN MARKAH (K2) MENYUMBANG KEPADA 40% KE 50% MARKAHMENYUMBANG KEPADA 40% KE 50% MARKAHKESELURUHAN KERTAS 2.KESELURUHAN KERTAS 2.

8/9/2019 Kami Juara


TOPIK² PENTING MATEMATIK PMR TOPIK² PENTING MATEMATIK PMR (Tingkatan 1 & 2)(Tingkatan 1 & 2)

BILBIL TOPIKTOPIKPMR PMR

0505 0606 0707 0808 0909

1 INTEGERS / DIRECTED NUMBERSINTEGERS / DIRECTED NUMBERS

2 WHOLE NUMBERS / FRACTIONS /WHOLE NUMBERS / FRACTIONS /DECIMALSDECIMALS

3 SQUARES, SQUARE ROOTS,SQUARES, SQUARE ROOTS,CUBES & CUBE ROOTSCUBES & CUBE ROOTS

4 LINEAR EQUATIONS ILINEAR EQUATIONS I

5 ALGEBRAIC EXPRESSIONS I & IIALGEBRAIC EXPRESSIONS I & II

6 TRANSFORMATIONSTRANSFORMATIONS

7 STATISTICS ISTATISTICS I

8 SOLID GEOMETRY I & IISOLID GEOMETRY I & II

9 LOCI IN TWO DIMENSIONSLOCI IN TWO DIMENSIONS

10 GEOMETRICAL CONSTRUCTIONSGEOMETRICAL CONSTRUCTIONS

8/9/2019 Kami Juara


SOALANSOALAN--SOALAN TAHUN LALU PMRSOALAN TAHUN LALU PMRMENGIKUT TOPIK DAN TAHUN.MENGIKUT TOPIK DAN TAHUN.

(2005 (2005 ²² 2009)2009)

Kertas Soalan Latih TubiKertas Soalan Latih Tubi

8/9/2019 Kami Juara


INTEGERS / DIRECTED NUMBERSINTEGERS / DIRECTED NUMBERS1

YearYear TopicTopic

20052005 Directed NumbersDirected Numbers


20072007 IntegersIntegers20082008 --


[ 2 marks][ 2 marks]

Kertas Soalan Latih TubiKertas Soalan Latih Tubi

8/9/2019 Kami Juara


Q.1: Directed Numbers (2005)Q.1: Directed Numbers (2005)

5.18.026.4 v!

5.1408.3 !

908.4!

4.26 x 0.8 ± ¹ º

¸©ª

¨

2

11

and express the answer correct to two decimal places.

91.4!

8/9/2019 Kami Juara



3

2)6.0(14 z

326.014 z!

2

36.014 v!

9.014 !

9.14!

8/9/2019 Kami Juara


Q.3: Integers (2007)Q.3: Integers (2007)

± 24 ÷ 8 ± 14

= ± 24 ÷ 8 ± 14

= ±3 ± 14

= ±17

8/9/2019 Kami Juara



)16(4

1115 z

164515 z!

16

5

415 v!

1612 !

= ±4

8/9/2019 Kami Juara


3

4)24.06( z!


4

3

76.5 v!

344.1 v!

(6 ± 0.24)3

4z

and express the answer correct to two decimal places.

32.4!

8/9/2019 Kami Juara


WHOLE NUMBERS / FRACTIONS /WHOLE NUMBERS / FRACTIONS /DECIMALSDECIMALS2

YearYear TopicTopic

20052005 Whole NumbersWhole Numbers

20062006 FractionsFractions20072007 DecimalsDecimals

20082008 FractionsFractions

20092009 --

[ 2 marks][ 2 marks]

8/9/2019 Kami Juara


Q.1: Whole Numbers (2005)Q.1: Whole Numbers (2005)

96 ± 3(12 + 48 ÷ 6)

=96 ± 3(12 + 8)

=96 ± 3(20)

=96 ± 60

=36

8/9/2019 Kami Juara


Q.2: Fractions (2006)Q.2: Fractions (2006)

¹ º

¸©ª

¨ v!

15

1012

8

9

15

2

8

9v!

20

3!

¹ º

¸©ª

¨v3

2

5

4

8

11

express the answer as a fr action in its lowest term.

¹ º

¸©ª

¨v3

2

5

4

8

11

8/9/2019 Kami Juara


Q.3: Decimals (2007)Q.3: Decimals (2007)

9.0

72.0!

9.0

18.04v

9

2.7!

= 0.8

8/9/2019 Kami Juara


Q.4: Fractions (2008)Q.4: Fractions (2008)

¹ º

¸©ª

¨v!

15

4

2

5

3

2

1

1v!

3

2!

express the answer as a fr action in its lowest term.

¹ º

¸©ª

¨

v15

59

2

5

¹ º

¸©ª

¨v3

1

5

3

2

5

8/9/2019 Kami Juara


SQUARES, SQUARE ROOTS, CUBES,SQUARES, SQUARE ROOTS, CUBES,CUBE ROOTSCUBE ROOTS

3

[ 1 + 2 =3 marks][ 1 + 2 =3 marks]

(2005 (2005 -- 2009) 2009) YearYear

8/9/2019 Kami Juara


Q.1: Squares,Square Roo ts,Q.1: Squares,Square Roo ts,Cubes, Cube Roo ts (2005)Cubes, Cube Roo ts (2005)

232.4 z!

24.1!

(ii)

96.1!

64

1

4

1

4

1

4

1

4

13

!¹ º

¸©ª

¨v¹

º

¸©ª

¨v¹

º

¸©ª

¨!¹

º

¸©ª

¨(i)

8/9/2019 Kami Juara



3

14

5¹ º

¸©ª

¨!

3

4

1¹ º

¸©ª

¨!

(ii)

64

1!

7.07.07.049.0 !v!(i)

8/9/2019 Kami Juara


3

362

1¹ º

¸©ª

¨v!

3

62

1¹ º

¸©ª

¨ v!

(i)

(ii) 33!


4)4()4()4(64 33 !vv!

= 27

8/9/2019 Kami Juara


2916 !

2

7!

(i)

(ii)

49!


3

1

3

1

3

1

3

1

27

133 !¹

º

¸©ª

¨v¹

º

¸©ª

¨v¹

º

¸©ª

¨!

8/9/2019 Kami Juara


23 87 !

2

)2(7

!

(i)

(ii)

227 !


9.09.09.081.0 !v!

25!

= 25

8/9/2019 Kami Juara


LINEAR EQUATIONS ILINEAR EQUATIONS I

4

[ 1 + 2 =3 marks][ 1 + 2 =3 marks]

(2005 (2005 -- 2009) 2009) YearYear

8/9/2019 Kami Juara


Q.1: Linear Equations I (2005)Q.1: Linear Equations I (2005)

432 ! nn

4! n

4!n

(a)

(b) k k 73)2(5 !

k k 7310 !3710 !k k

317 !k

173!k

8/9/2019 Kami Juara


1

312!

n

n312 !

3

12!n(a)

(b) 3)1(2 ! k k

322 ! k k 232 ! k k 5!k


4!n

8/9/2019 Kami Juara


410 ! x

104 ! x

6! x

(a)

(b)

13

45 x x!

x x 345 !

435 ! x x

42 ! x

2! x


8/9/2019 Kami Juara


115 ! p

511! p

16! p

(a)

(b)

2

31

!

x x

3)1(2 ! x x

322 ! x x

232 ! x x

5! x


8/9/2019 Kami Juara


186 !k

6

18!k

3!k (a)

(b) 72

34 !

m

472

3!

m

233 v!m

63 !m

2!m


8/9/2019 Kami Juara


8/9/2019 Kami Juara


q pq p 532 !

)5(32 q pq p !

qq p p 532 !

Q.1: Algebraic Expressions I & II (2008)Q.1: Algebraic Expressions I & II (2008)

Simplify:Simplify:

q p 8!

8/9/2019 Kami Juara


Q.2: Algebraic Expressions I & II (2009)Q.2: Algebraic Expressions I & II (2009)

3102 ! n

Simplify:Simplify:

3)5(2 n

72 ! n

(a)(a)

(b)(b) )5()34(3 mk k m

mk k m ! 5912

k k mm 5912 !

k m 1413 !

8/9/2019 Kami Juara


TRANSFORMATIONS ITRANSFORMATIONS I6

YearYear TopicsTopics MarksMarks

20052005 ReflectionsReflections Translations & Translations &

RotationsRotations

2+4=62+4=6

20062006 ReflectionsReflections TranslationsTranslations 2+2=42+2=4

20072007 ReflectionsReflections -- 22

20082008 ReflectionsReflections RotationsRotations 44

20092009 ReflectionsReflections -- 22

8/9/2019 Kami Juara


PART APART A

REFLECTIONS

8/9/2019 Kami Juara


Q.(a): Transf ormation I (2005)Q.(a): Transf ormation I (2005)

8/9/2019 Kami Juara


Q.(b): Transf ormation I (2006)Q.(b): Transf ormation I (2006)

P'

8/9/2019 Kami Juara


Q.(c): Transf ormation I (2008)Q.(c): Transf ormation I (2008)

8/9/2019 Kami Juara


PART BPART B

TRANSLATIONS&

ROTATIONS

8/9/2019 Kami Juara


Q.(1): Transf ormation I (2005)Q.(1): Transf ormation I (2005)

(a) (i) The Direction of therotation is ClockwiseClockwise

(ii) The coordinates of the

centre of the rotation is(2,4)

(b) M is a translationtranslation of ¹¹ º

¸©©ª

¨

2

7

8/9/2019 Kami Juara


Q.(2): Transf ormation I (2006)Q.(2): Transf ormation I (2006)

Transformation L is a translationtranslation of ¹¹ º

¸©©ª

¨

2

7

8/9/2019 Kami Juara


Q.3: Transf ormation 1 (2008)Q.3: Transf ormation 1 (2008)

8/9/2019 Kami Juara


STATISTICS I (Charts)STATISTICS I (Charts)

7

2 marks / [ 1 + 2 =3 marks]2 marks / [ 1 + 2 =3 marks]YearYear TopicTopic

20052005 --

20062006 Line GraphLine Graph20072007 Vertical Bar ChartVertical Bar Chart

20082008 --

20092009 Horizontal Bar ChartHorizontal Bar Chart

8/9/2019 Kami Juara


Q.1: Statistics I (2006)Q.1: Statistics I (2006)

8/9/2019 Kami Juara


Q.2: Statistics 1 (2007)Q.2: Statistics 1 (2007)

8/9/2019 Kami Juara


SOLID GEOMETRY I & II (Net)SOLID GEOMETRY I & II (Net)

8

[3 marks][3 marks]YearYear TopicTopic

20052005 --

20062006 --20072007 Net of a prismNet of a prism

20082008 --

20092009 --

8/9/2019 Kami Juara


Q.1: Solid Geometry I & II (2004)Q.1: Solid Geometry I & II (2004)

8/9/2019 Kami Juara


Q.2: Solid Geometry I & II (2007)Q.2: Solid Geometry I & II (2007)

8/9/2019 Kami Juara


LOCI IN T WO DIMENSIONSLOCI IN T WO DIMENSIONS

9

[5 marks][5 marks]

(2005 (2005 -- 2009) 2009) YearYear

8/9/2019 Kami Juara


Q.1: Loci in Two Dimensions (2007)Q.1: Loci in Two Dimensions (2007)

(a) Locus of X is the diagonal PN

(b) (i), (ii)

(c)

8/9/2019 Kami Juara


GEOMETRICAL CONSTRUCTIONSGEOMETRICAL CONSTRUCTIONS

10

[5 marks][5 marks]

(2005 (2005 -- 2009) 2009) YearYear

8/9/2019 Kami Juara


Q.1: Geometrical Constructions (2007)Q.1: Geometrical Constructions (2007)

(a) r! 60 JKL

(b) (i)

(b) (ii)

cmcm PQ 2.01.6 s!

8/9/2019 Kami Juara


SESI SOAL JAW ABSESI SOAL JAW AB

8/9/2019 Kami Juara


Sekian, Terima KasihSekian, Terima Kasih

kami juara

Documents