Apa Yang Anda Perlu Tahu Sebelum Menjawab Kertas Maths

7/30/2019 Apa Yang Anda Perlu Tahu Sebelum Menjawab Kertas Maths

1/279

APA YANG ANDA

PERLU TAHU

SEBELUMMENJAWAB

KERTASMATEMATIK


2/279

1 2 3 4 5 6 7 8 9

2 4 6 8 10 12 14 16 18

3 6 9 12 15 18 21 24 27

4 8 12 16 20 24 28 32 365 10 15 20 25 30 35 40 45

6 12 18 24 30 36 42 48 54

7 14 21 28 35 42 49 56 63

8 16 24 32 40 48 56 64 72

9 18 27 36 45 54 63 72 81

TIME SQUARE / PETAK SIFIR


3/279

MIRACLE SQUARE / PETAK AJAIB

pecahan /

juta

km, kg, liter /

jam

minit

saat

peratus (%)

senmeter, gram

mililiternombor / number

perpuluhan /

decimal

1

4 15 25 250 250 000 0.251

2 30 50 500 500 000 0.53

4 45 75 750 750 000 0.75

1 60 100 1000 1 000 000 1.01

5 12 20 200 200 000 0.21

10 6 10 100 100 000 0.1


4/279

2

1

4

1

4

3

5

1

5

2

5

3

5

4

10

1

FractionW. Number

(Of Million)Decimal %

Time

(Of Hour)Mass Length V&L

500 000 0.5 50 % 30 minutes500 g

0.5 kg

500 m

0.5 km

500 ml

0.5 liter

250 000 0.25 25 % 15 minutes250 g

0.25 kg

250 m

0.25 km

250 ml

0.25 liter

750 000 0.75 75 % 45 minutes750 g

0.75 kg

750 m

0.75 km

750 ml

0.75 liter

200 000 0.2 20 % 12 minutes 200 g0.2 kg200 m0.2 km 200

ml

0.2 liter

400 000 0.4 40 % 24 minutes400 g

0.4 kg

400 m

0.4 km

400 ml

0.4 liter

600 000 0.6 60 % 36 minutes600 g

0.6 kg

600 m

0.6 km

600 ml

0. liter

800 000 0.8 80 % 48 minutes800 g

0.8 kg

800 m

0.8 km

800 ml

0.8 liter

100 000 0.1 10 % 6 minutes100 g

0.1 kg

100 m

0.1 km

100 ml

0.1 liter

1 1 000 000 1 100 % 60 minutes1 000 g

1.0 kg

1 000 m

1.0 km

1 000 ml

1.0 liter


5/279

APLIKASI ( PENGGENAP) MELIBATKAN PECAHAN

31

6

1

7

3

8

5

9

2

4

1

32

6

5

7

4

8

3

9

7

4

3

DIBERI DIJAWAB


6/279

APLIKASI ( PENGGENAP) MELIBATKAN PERATUS

20%

25%

40%

65%

70%

80%

80%

75%

35%

60%

30%

20%

BILA DITAMBAH, JUMLAHNYA MESTI 100%

DIBERI DIJAWAB


7/279

Konsep Perbandingan

Jika diskaunnya , Harga sebenarnya

Jika murid hadir, tidak hadir.

Jika adalah lelaki, pula perempuan.

Jika rosak, pula berkeadaan baik.

5

3

3

1

5

2

6

1

6

5

3

2

20% 80%


8/279

APLIKASI ( PERSAMAAN)

41

4

3

5

1

5

2

5

3

5

4

25%

75%

20%

40%

60%

80%

PERATUS PECAHAN


9/279

APLIKASI ( PERSAMAAN)

101

10

3

2

1

10

7

10

9

1

10%

30%

50%

70%

90%

100%

PERATUS PECAHAN


10/279

PERATUSAN


11/279

APLIKASI ( PERATUS)

PASANGAN 100

50 X 2

25 X 4

20 X 510 X 10


12/279

Jika 100 % , harganya ialah RM100

10 % daripada RM100 = RM10

Jika 100 %, harganya ialah RM500




Jika 100 % harganya ialah RM15

10 % daripada RM15 = RM1.5

KONSEP 10 %

RM1.50


13/279

KONSEP 10 %

Jika 100% = 5600

Maka: 10% daripada 5600 = 560

Jika 100% = 9

Maka: 10% daripada 9 = 0.9

Jika 100% = 4938

Maka: 10% daripada 4938 = 493.8

Jika 100% = 35

Maka: 10% daripada 35 = 3.5


14/279

Jika 100 % , harganya ialah RM100






Jika 100 % harganya ialah RM15


KONSEP 1 %


15/279

Jika 100 % , harganya ialah 1000

1 % daripada 1000 = 10

Jika 100 %, harganya ialah 5400

1 % daripada 5400 = 54

Jika 100 %, harganya ialah 40

1 % daripada 40 = 0.40

Jika 100 % harganya ialah 1050

1 % daripada 1050 = 10.50

KONSEP 1 %


16/279

CONTOH:

40% of 540 =

40% daripada 540 =

10% = 5410

540

40% = 5 4 4

612

1


17/279

CONTOH:

50% of 545 =

50% daripada 545 =

10% = 54.510

5.54

50% = 5 4 5

272

2

5

5.

.

2


18/279

CONTOH:

22% of 333 =

22% daripada 333 =

1% = 3.33

22% = 3 3 2 2

666 6

3.

.

333 .

1 0 0

66+

62

1

7 3

1


19/279

BENTUK 2 DIMENSI


20/279

2D shape

Semicircle /Semi Bulatan /

Separuh Bulatan

Circle /Bulatan

Triangle /

Segitiga

Isosceles Triangle /

Segitiga Sama Kaki

Rectangle /

Segiempat Tepat

Square /

Segiempat Sama


21/279

Pentagon

2D shape

Hexagon /

Heksagon

Heptagon

Octagon /

Oktagon


22/279

SHAPES

Different types of shapes


23/279

Straight line

length

1. A square has 4 straight sides.

sides

Square.

2. All the sides are equal in length.

4 m4 m

4 m

4 m


24/279

2 m

2 m2 m

2 m

SQUARE

5 m

5 m 5 m

5 m


25/279

1. A square has 4 straight sides.

Square.

2. All the sides are equal in length.


26/279

4m

2m

4m

2m

5 m

7m7 m

5 m

Rectangle

1. A rectangle has 4 sides.

2. The opposite sides are equal in length.


27/279

4m

2m

4m

2m

6 m

9m

9 m6 m


28/279

Rectangle

1. A rectangle has 4 sides.

2. The opposite sides are equal in length.


29/279

3m 3m

4m 4m

3m 5m5m

3m

7m

Triangle

1. A triangle has 3 sides.

2. The sides can be equal or different in

length


30/279

PERIMETER is the total distance

around a closed figure

4m

6m

4m6m

Perimeter = 6 + 4 + 6 + 4

= 20 m


31/279

Find the perimeter of the given diagram

2 m

2 m61.

4

82

Perimeter = 2 + 6 + 4 + 8 + 2 + 2= 24 m


32/279

2.

8 m

3 m

The diagram shows two rectangle of

equal size. Calculate the perimeter.

3

58

11

Perimeter = 3 + 5 + 8 + 3 + 11

= 38 m

+ 8


33/279

3.

6 m

6 m 2 m

11 m

2 m

6 m5 m

Perimeter = 2 + 11 + 2 + 6 + 6

= 38 m

+ 6+ 5


34/279

4.7 m

7 m5 m

2 m

The diagram is a combination of atriangle and a square. Find the

perimeter.

5 m 5 m

Perimeter = 2 + 5 + 5 + 5 + 7

= 31 m

+ 7


35/279

5.6 m 6 m

8 m

4 m

2 m

4 m

Perimeter = 6 + 2 + 4 + 8 + 4

= 30 m

+ 6


36/279

6.14 m

3 m

8 m

8 m

3 m

3 m8 m

3 m

Perimeter = 14 + 3 + 3 + 8 + 8

= 50 m

+ 8

+ 3 + 3


37/279

Find the perimeter of shaded part.

86

4

4

1.

4

4

4

Perimeter of shaded part

= 4 + 6 + 8 + 4 + 4

+ 4 + 4

= 34


38/279


10

8

33

778


= 10 + 8 + 3 + 7 + 7 + 3 + 8

= 46

2.


39/279


3. 2

2 2


2 2

2

= 2 + 2 + 2 + 2 +

2

2 2

2

2 + 2 + 2 + 2

2

2 2

2

+ 2 + 2 + 2 + 2

= 24


40/279


4.

4

4

2

2

2


=

2

22

2 + 4 + 4 + 2 + 2 + 2

= 16


41/279

AREA Is the region enclosed in

a rectangle or a square.


42/279

Find the area of rectangle and square.

1.8 cm

5 cm

Area = length x breadth

= 8 cm x 5 cm= 40 m .

2


43/279

2.9 cm

9 cm

Area = length x breadth

= 9 cm x 9 cm

= 81 square cm.


44/279

3.

9 cm

5 cm

Area =

= 9 cm x 5 cm

= 45 square cm.

length x breadth


45/279

4.10 cm

10 cm

Area =

= 10 cm x 10 cm

= 100 square cm.

length x breadth


46/279

5.12 cm

9 cm

Area =

= 12 cm x 9 cm= 108 square cm.

length x breadth


47/279

6.6 cm

6 cm

Area =

= 6 cm x 6 cm

= 36 square cm.

length x breadth

P t f t i l


48/279

base

height

Parts of a triangle

b

ht

b

htb

ht


49/279

b

htb ht

Area of triangle = x b x ht1

2

Fi d th f t i l


50/279

Find the area of a triangle

8 m

6 m

Area = x b x ht1

2

= x 8 x 61

2

= 482

= 24 sq. m.

1.


51/279

2.

12 m

10 m

Area = x b x ht1

2

= x 12 x 101

2

= 1202

= 60 m.2


52/279

3.

Area = x b x ht1

2

= x 9 x 81

2

= 722

= 36 m.2

9 m 8 m

6 m


53/279

4.

10 m

6 m

Area = x b x ht12

= x 10 x 61

2= 60

2

= 30 m.2

Fi d th f th h l di


54/279

Find the area of the whole diagram

1.11 m

6 m

6 m 2 m

Area A = l x b= 6 m x 6 m

= 36 sq. m.

Area B =l

x b= 11 m x 2 m

= 22 sq. m.

Area of the diagram

= 36 + 22

2= 58 m

AB

Calculate the area of the composite


55/279

Calculate the area of the composite

shape.

2. 4 m 6 m

A B

Area A = l x b= 4 m x 4 m

= 16 sq. m.Area B = l x b= 6 m x 4 m

= 24 sq. m.

Area of the diagram

= 16 + 24

2= 40m

Find the total area of the diagram


56/279

Find the total area of the diagram.

3.

8cm

3cm

3cm

Area of square

= l x b= 3 x 3= 9 sq. cm.

Area of rectangle= l x b= 8 x 3

= 24 sq. cm.Total area= 9 + 24= 33 sq. cm.

4A A x b x ht

1


57/279

4.

4 m

4 m

Area A = x b x ht2

= x 4 x 41

2= 16

2

= 8 m.

2A

BArea B = l x b

= 4 m x 4 m= 16 sq. m.

Total area of diagram =8+16 = 24 sq.m.

x b x ht1

Area of A


58/279

5 m

10 m

4 m

4 m

5 m

A

B

C

x b x ht2

= x 4 x 5

1

2

= 202

= 10 m.2

Area of B =l x b

= 10 m x 4 m

= 40 sq. m.

Area of A =

A f C b ht1


59/279

Area of C = x b x ht2

= x 4 x 5

1

2

= 20

2

= 10 sq.m.

Total area of diagram

= 10 + 40 + 10= 60 sq. m.

5 m

10 m

4 m

4 m

5 m

A

B

C

10

40


60/279

BENTUK 3 DIMENSI

3 D SHAPE


61/279

Sphere /

Sfera

Pyramid /Piramid

Cone /

Kon

Cylinder /

Silinder

Cuboid /

Kuboid

Cube /Kubus

3-D SHAPE

CUBE has equal dimensions


62/279

CUBE

length

1 m

Breadth1 m

Height

1 m

has equal dimensions.

length = breadth = height

base

CUBOID has dimension of not equall


63/279

CUBOID has dimension of not equall

length

8 m

Breadth3 m

Height5 m

CUBOID


64/279

Find the volume :


65/279

Find the volume :

2.

5m5m

5m

Volume of cube

= l x b x h= 5 x 5 x 5

= 125 m .

= 25 x 5

3

Find the volume :


66/279

Find the volume :

3.

7cm

7cm

7cm

Volume of cube

= l x b x h= 7 x 7 x 7

= 343 cm .

= 49 x 73

Find the volume of cuboid


67/279

Length = 7m

Breadth = 5m

Height = 4m

Volume of cuboid

= l x b x h= 7 x 4 x 5

= 140 m .7 m

5 m

4 m = 28 x 53

Find the volume of cuboid

4.

Find the volume :


68/279

Find the volume :

5.

7m

4m

5m

Volume of cuboid

= l x b x h= 7 x 4 x 5

= 140 m .

= 28 x 53

6 Find the volume :


69/279

6.

6cm6cm

6cm

Volume of cube

= l x b x h= 6 x 6 x 6

= 216 cm .

= 36 x 6

3

Find the volume :

Find the volume :


70/279

7.

6cm

4cm

9cm

Volume of cuboid

= l x b x h= 6 x 4 x 9

= 216 cm .

= 24 x 93

Calculate the volume of the following


71/279

g

composite shapes.The volume of each

cube is 1 sq. cm.

AB

AB

1.Volume of A = l x b x h

= 2 x 2 x 2

= 8 cm .3Volume of B = l x b x h

= 2 x 2 x 3

= 12 cm .3

Volume of compositeshape = 8 + 12

= 20 cm3

2 Vol me of A x x


72/279

A B

BA

2. Volume of A = l x b x h= 2 x 2 x 2

= 8 cm .3

Volume of B = l x b x h= 4 x 2 x 1= 8 cm .3


= 16 cm3

3 Volume of A = x x


73/279

3.

A

A

B

B

Volume of A = l x b x h= 2 x 2 x 5

= 20 cm .3



= 28 cm3

4 Volume of A = x x


74/279

4.

A B

A B


= 8 cm .3



= 10 cm3

5 Volume of A = x x


75/279

5.5m5m

10m

5m

18m

5m

A

B


= 250 m .3

Volume of B = l x b x h= 18 x 5 x 5= 450 m .3


= 700 m

3

A

B

510m


76/279

6. 5m

3m

4m

6m

A

B

Volume of A = l x b x h= 10 x 5 x 6= 300 m .3

Volume of B = l x b x h= 10 x 3 x 4= 120 m .3

Volume of

composite

shape= 300 + 120

= 420 m3

7Volume of A = l x b x h


77/279

7.

4m

3m

12m

4m 6m

6m

6m

AB

o u e o= 4 x 3 x 12= 144 m .3

Volume of B = l x b x h= 6 x 6 x 6

= 216 m .3


= 360 m3

8 10m3m


78/279

8.

6m

3m

10m

9m

3m

A

B


= 180 m .

3

Volume of B = l x b x h= 10 x 9 x 3

= 270 m .3

Volume ofcomposite

shape

= 180 + 270

= 450 m3


79/279

TIMBANGAN BERAT

( JISIM)


80/279

4 sengat (1000 4) 5 sengat (1000 5)

10 sengat (1000 10) 2 sengat (1000 2)


81/279

250 g

500 g

750 g

1 kg

200 g

400 g

600 g

800 g

1 kg

1800 g1750 g

500 g

1 kg

1500 g1700 g

g100g200

g300

g400

g500

g600

g700

g800

g900

1 kg


82/279

900 g

0.9 kg


83/279

500 g

0.5 kg


84/279

kg1

2

3

4

5

6

7 2.5 kg

2 500 g

2 kg 500 g


85/279

kg1

2

3

4

5

6

7

500 g

0.5 kg


86/279

kg1

2

3

4

5

6

7 6.5 kg

6 500 g

6 kg 500 g


87/279

kg1

2

3

4

5

6

7

4.5 kg

4 500 g

4 kg 500 g


88/279

kg

1

23

4

1.6 kg

1 600 g

1kg 600 g


89/279

kg

1

23

4

3.4 kg

3 400 g

3 kg 400 g


90/279


91/279

kg

1

23

4

4.4 kg

4 400 g

4 kg 400 g


92/279

3 kg

3 000 g


93/279

5.5 kg

5 500 g

5 kg 500 g


94/279

6.75 kg

6 750 g

6 kg 750 g


95/279

8.25 kg

8 250 g

8 kg 250 g


96/279

kg

4 1

23

200 g

0.2 kg


97/279

kg

4 1

23

2.3 kg

2 300 g

2 kg 300 g


98/279

kg

4 1

23

3.5 kg

3 500 g

3 kg 500 g


99/279


100/279

kg

4 1

23

1.6 kg

1 600 g

1 kg 600 g


101/279

ISIPADU CECAIR

Volume of liquid


102/279

1 litre of mineral water.

500 millilitres of pepsi-cola.

100 millilitres of milk.

3 litres of strawberry.

Measuring volume of liquid


103/279

100

200

300

400

500

600

700

800

900

1000ml

600 ml.

100

200300

400

500

600

700

800

900

1000ml

900 ml.

1. 2.

0.6l. 0.9l.

3 4


104/279

100

200300

400

500

600

700

800

900

1000ml

400 ml.

100

200300

400

500

600

700

800

900

1000ml

500 ml.

3. 4.

0.4l. 0.5l.

5


105/279

100

200300

400

500

600

700

800

900

1000ml

650 ml.

100

200

300

400

500

600

700

800

9001000ml

250 ml.

5. 6.

0.65l. 0.25l.


106/279

100

200

300

400

500

600

700

800

9001000ml

450 ml.

7.

100

200

300

400

500

600

700

800

9001000ml

950

ml.

8.

0.45l.

0.95l.

9 10


107/279

100

200300

400

500

600

700

800

9001000ml

700 ml.

100

200300

400

500

600

700

800

9001000ml

100 ml.

9. 10.

0.7l.

0.1l.


108/279

100

200

300

400

500

600

700

800

9001000ml

750 ml.

11.

100

200

300

400

500

600

700

800

9001000ml

250 ml.

12.

0.75l.

0.25l.


109/279

1liter

2liter

1100 ml

1.1l

1l100 ml


110/279

1liter

2liter

800 ml

0.8l


111/279

1liter

2liter

1500 ml

1.5l

1l500 ml


112/279


113/279

1000ml

200 ml

0.2l


114/279

1000ml

600 ml

0.6l


115/279

1000ml

500 ml

0.5l


116/279

1000ml

750 ml

0.75l


117/279

1000ml

250 ml

0.25l


118/279


119/279


120/279

1

23

4

4 parts


121/279

quarter


122/279

half


123/279

Three

quarter


124/279

one

8 oclock


125/279

Five past eight


126/279

5

Ten past eight


127/279

10

8:15Eight fifteen


128/279

15 quarter

Fifteen past eight

quarter past eight

g

Fifteen minutes past eight

Twenty past eight


129/279

20

Twenty five past eight


130/279

25

Eight thirty 8:30


131/279

30

half past eight

Thirty minutes past eight

half

Eight thirty five


132/279

35


133/279

Eight forty five 8:45


134/279

45

quarter

quarter to nine

Fifteen minutes to nineFifteen to nine

Eight fifty


135/279

50

Eight fifty five


136/279

55

60

sixty minutes past eight

Nine oclock


137/279

60

READ THE TIME ON THE CLOCK FACE

60

sixty minutes past eight

Nine oclock in the morning


138/279

60

NOW READ THE TIME ON THE DIGITAL CLOCK


139/279

9:00a.m.

11:35 in the evening


140/279

11:35 in the evening

READ THE TIME ON THE DIGITAL CLOCK


141/279

11:35 p.m.

560

TIME. Face of a clock.


142/279

12

6

39

1

2

4

57

8

10

11

5

10

15

20

2530

35

40

45

50

55 minutes

a.m. means ante meridiem


143/279

Shows the time between 12.01 after

midnight to 11.59 in the morning.

p.m. means post meridiem

shows the time between 12.01

afternoon to 11.59 at night.


144/279

12:00 midnight 12:00 noonmorning

12:01 a.m. 11:59 a.m.

ante meridiem

12:00 noon 12:00 midnight


145/279

12:00 noon 12:00 midnight

afternoon / evening(night)

12:01 p.m. 11:59 p.m.

post meridiem

12

A. Read and write the time:


146/279

12

6

39

1

2

4

57

8

10

11

Night.

7.05 p.m.

12


147/279

12

6

39

1

2

4

57

8

10

11

Evening

9.08 p.m.

1211


148/279

6

39

1

2

4

57

8

10

11

Morning.

4.15 a.m.

12111


149/279

6

39

1

2

4

57

8

10

11

Morning.

10.20 a.m.


150/279

12111


151/279

6

39

1

2

4

57

8

10

11

Morning.

5.15 a.m.

240024 Hours System


152/279

12

6

39

1

2

4

57

8

10

11 1300

1400

1500

1600

1700

1800

1900

2000

2100

2200

2300 0000

0300

0

600

0900

1200

A.M.

P.M.

READ TIME IN 24 HOURS SYSTEM


153/279

0000 hrs. = Zero hundred hours.

0100 hrs. = Zero one zero hours.

0145 hrs. = Zero one forty-five hours.

0530 hrs. = Zero five thirty hours.

0926 hrs. = Zero nine twenty-six hours.

READ TIME IN 24 HOURS SYSTEM


154/279

2100 hrs. = Twenty-0ne zero hours.

1135 hrs. = Eleven thirty-five hours.

1715 hrs. = Seventeen fifteen hours.

2250 hrs. = Twenty-two fifty hours.

1620 hrs. = Sixteen twenty hours.


155/279

12 Hours System 24 Hours System


156/279

10.45 a.m.

9.45 a.m.

9.45 p.m.

10.45 p.m.

1045 hrs.

0945 hrs

2245 hrs

2145 hrs

CONVERT TO 12 HOURS SYSTEM

1. 1150 hrs = 11.50 a.m


157/279

If the 2 firstdigit is less

than 12 it is

the sameand means

a.m. in 12

hour system.

2. 0635 hrs = 6.35 a.m

3. 1012 hrs = 10.12 a.m

4. 0335 hrs = 3.35 a.m

5. 1105 hrs = 11.05 a.m

6. 0910 hrs = 9.10 a.m

7. 1006 hrs = 10.06 a.m


1 1400 hrs = 1400 - 1200


158/279

1. 1400 hrs =

If the 2 firstdigit is more

than 12

means p.m.in 12 hour

system and

minus 1200hrs to get the

answer.

1400 - 1200

= 0200 hrs= 2.00 p.m.

2. 2135 hrs = 2135 - 1200

= 0935 hrs

= 9.35 p.m.

3. 2045 hrs = 2045 - 1200


159/279

= 0845 hrs= 8.45 p.m.

4. 1830 hrs = 1830 - 1200

= 0630 hrs

= 6.30 p.m.

5 1950 hrs = 1950 - 1200


160/279

5. 1950 hrs = 1950 - 1200

= 0750 hrs= 7.50 p.m.

6. 2317 hrs = 2317 - 1200

= 1117 hrs= 11.17 p.m.


161/279


1 6 00


162/279

1. 6.00 a.m. = 0600 hrs

If a.m.means it is

the same in

24 hrssystem

using 4 digit

numbers.

2. 9.15 a.m. = 0915 hrs

3. 10.43 a.m. = 1043 hrs

4. 8.35 a.m. = 0835 hrs

5. 11.49 a.m. = 1149 hrs

6. 2.15 a.m. = 0215 hrs7. 10.37 a.m. = 1037 hrs



163/279

1. 3.25 p.m. = 0325 + 1200

= 1525 hrs

If p.m.means

add

1200 toget the

answer

in 24hours

system.

2. 11.05 p.m. = 1105 + 1200

= 2305hrs

3 10 05


164/279

3. 10.05 p.m.= 1005 + 1200

= 2205 hrs

4. 5.25 p.m. = 0525 + 1200

= 1725 hrs

5. 10.45 p.m. = 1045 + 1200

= 2245 hrs


165/279

5 s

6. 9.35 p.m. = 0935 + 1200

= 2135 hrs

7. 1.05 p.m. = 0105 + 1200

= 1305 hrs

8. 5.05 p.m. = 0505 + 1200

= 1705 hrs

10 10X..


166/279

Century Decade Years

1 century = 10 decades.1 decade = 10 years.

1 century = 100 years.

Convert to years

1 6 centuries 3 10 centuries


167/279

1. 6 centuries.

= 6 x 100 yrs

= 6

2. 20 centuries.

= 20 x 100 yrs

3. 10 centuries.

= 10 x 100 yrs

4. 2 centuries.

= 2 x 100 yrs

00 yrs.

= 20 00 yrs.

= 10 00 yrs.

= 200 yrs.

Convert to centuries

1 200 yrs 3 600 yrs


168/279

1. 200 yrs.

= 200 100

= 2 centuries.

2. 400 yrs.

= 400 100

= 4 centuries.

3. 600 yrs.

= 600 100

= 6 centuries.

4. 800 yrs.

= 800 100

= 8 centuries.

..

.

.

..

.

.

Convert to decades

1 6 centuries 3 10 centuries


169/279

1. 6 centuries.

= 6 x 10

= 60 decades.

2. 20 centuries.

= 20 x 10

= 200 decades.

3. 10 centuries.

= 10 x 10

= 100 decades.

4. 2 centuries.

= 2 x 10

= 20 decades.

Convert to centuries

1 200 decades 3 600 decades


170/279

1. 200 decades.

= 200 10

= 20 centuries.

2. 400 decades.

= 400 10

= 40 centuries.

3. 600 decades.

= 600 10

= 60 centuries.

4. 800 decades.

= 800 10

= 8 centuries.

..

.

.

..

.

.


171/279

PERPULUHAN

Recognise the place value :


172/279

Ones Tenths Hundredths Thousandths

0 . 6 4 5

1 . 0 2 6

0 . 0 7 3

2 . 0 0 5


173/279

State the place value of the digit.


174/279

3 7 . 6 0 8

Tens

Ones

Decimal point

Tenths

Hundredths

Thousandths



175/279

0 . 7 9 6

Ones

Decimal point

Tenths

Hundredths

Thousandths



176/279

0 . 0 3 1

Ones

Decimal point

Tenths

Hundredths

Thousandths


177/279

Write the place value of the underlined

digit.


178/279

23.321 = Ones

36.786 = Tens

4.585 = Tenths

1.239 = Thousandths

2.674 = Hundredths

1.007 = Thousandths

Round off the numbers to the nearesttenths(satu tempat perpuluhan)


179/279

25.181 = 25.21.523 = 1.5

13.674 = 13.72.632 = 2.6

3.124 = 3.1

23.752 = 23.8

1.347 = 1.3

Round off the numbers to the nearesthundredths(dua tempat perpuluhan)


180/279

25.181 = 25.181.523 = 1.52

13.674 = 13.672.632 = 2.63

3.127 = 3.13

23.752 = 23.75

1.347 = 1.35

Round off the numbers to the nearestwhole numbers(sa yang hampir)


181/279

25.181 = 251.523 = 2

13.674 = 142.632 = 3

3.124 = 3

23.752 = 24

1.347 = 1

Convert fractions to decimals


182/279

1. 123

1000= 0 . 3

thousandths

21

2. 3

1000= 0 . 300


183/279

thousandths

3. 23

1000= 2 . 3

thousandths

202

4. 6100

= 0 . 60


184/279

hundredths

5. 17

100= 3 . 7

hundredths

13

6. 910

= 0 . 9


185/279

tenths

7. 110

= 1 . 7

tenths

1

Convert fractions to decimals

1 156


186/279

1. 156

1000 =

2. 2

1000

=

3. 57

1000=2

4. 9100

=

0.156

0.002

2.057

0.09

5. 23

100=6 6.23


187/279

6. 110 =

7. 4

10=7

8. 39

1000=4

9. 8100

=

0.1

7.4

4.039

0.08

Convert decimals to fractions.

1. 0.123 =1000123


188/279

1000

2. 2.045 =45

10004

3. 3.04 =4

1003

4. 0.13 =

13

100

5. 0.1 =1

10

6. 3.1 = 110

3

98


189/279

7. 0.098 = 1000

98

8. 1.105 =105

1000

1

9. 5.14 =14100

5

10. 0.23 =23100

Addition of decimals

1. 4.16 + 23.643 =


190/279

4 . 1 6+ 2 3 . 6 4 3

0

3

1

08.72

2. 34.16 + 21.643 =

3 4 . 1 6+ 2 1 . 6 4 3

0

3

1

08.55

3. 4.321 + 31.4 + 0.766 =


191/279

4 . 3 2 1

+ 0 . 7 6 6

0

7

1

3 8.6 3

3 1 . 4 0

4. 23.2 + 0.145 + 1.34 + 0.78 =


192/279

2 3 . 2

1 . 3 4

0

5

1

2 6.5 4

0 . 1 4 50

+ 0 . 7 800

1

5. 17.32 + 5.278 + 0.94 =


193/279

1 7 . 3 2

+ 0 . 9 4

0

8

1

2 3.3 5

5 . 2 7 8

0

11

6. 23.51 + 5.784 =


194/279

2 3 . 5 1+ 5 . 7 8 4

0

4

1

92.92

Subtraction

1. 1.97 - 0.793 =68 1


195/279

1 . 9 7- 0 . 7 9 3

06

1

7

8

7

1

1.1

2. 22.97 - 2.723 =

2 2 . 9 7- 2 . 7 2 30

61

742.02

3. 22.237 - 13.643 - 7.659 =

2 2 2 3 71

11 11 1

8 5 9 48

17

1


196/279

2 2 . 2 3 7- 1 3 . 6 4 3

495.8

8 . 5 9 4- 7 . 6 5 9

539.0

1

4. 9.764 - 4.987 - 0.564 =

9 . 7 6 4- 4 . 9 8 7

7

61

7

8 5

7.

1 1

4

4 . 7 7 7- 0 . 5 6 4

312.4

5. 0.97 - 0.793 =

0 . 9 7 06

18 1


197/279

- 0 . 7 9 3771.0

6. 8.764 - 4.236 - 0.246 =

8 . 7 6 4- 4 . 2 3 6

8

1

2

5

5.4

4 . 5 2 8- 0 . 2 4 6

282.4

41


198/279

Multiplication.

1. 2.345 x 4 =211


199/279

2 . 3 4 5x 4

0

2

8

1

3

1

.9

2. 0.345 x 9 =

0 . 3 4 5x 9

5

4

0

4

1

3

.3

3. 3.4 x 4

3 . 41


200/279

x 46.31

4. 0.6 x 7

0 . 6

x 72

4

.4

5. 1.345 x 3 =111


201/279

1 . 3 4 5x 3

5

1

3

1

0

1

.4

6. 0.345 x 6 =

0 . 3 4 5x 6

0

3

7

2

0

2

.2

7. 2.567 x 23 =

111


202/279

2 . 5 6 7x 2 3

1

.

2

0

2

7

1

74

1

3

1

1

1

5

140

1

95

8. 31.67 x 32 =


203/279

3 1 . 6 7x 3 2

4

.

1

3

1

361

2

0

2

59

443

1

11 0

9. 4.341 x 6 =


204/279

4 . 3 4 1x 6

64

2

0

2

.2 6

10. 21.42 x 15 =


205/279

2 1 . 4 2x 1 5

0

.

1

1

2

702412

031

1

23

1

Multiplication decimal by 10,100,1000.

1. 1.234 x 10


206/279

= 1 . 2 3 4.

= 12.34

2. 0.709 x 10

= 0 . 7 0 9.

= 7.09

3. 1.234 x 100

= 1 . 2 3 4.


207/279

= 123.4

4. 56.34 x 100= 5 6 . 3 4.

= 5634

5. 7.5 x 100

= 7 . 5 .


208/279

= 750

6. 3.7 x 100= 3 .7 .

= 370

7. 7.586 x 1000

= 7 . 5 8 6.


209/279

= 7586

8. 31.24 x 1000= 3 1 . 2 4 .

= 31240

9. 4.7 x 1000

= 4 . 7 .


210/279

= 4700

10. 53.4 x 1000= 5 3 . 4 .

= 53400

11. 5.235 x 100

= 5 . 2 3 5.


211/279

= 523.5

12. 9.588 x 1000

= 9 . 5 8 8.

= 9588

13. 7.709 x 10

= 7 7 0 9


212/279

7 . 7 0 9.

= 77.09

14. 9.6 x 100

= 9 . 6 .

= 960

31.567 x 10 = 315.67

7.27 x 10 = 72.7


213/279

8.345 x 100 = 834.5

7.94 x 100 = 794

31.567 x 1000 = 31567

7.27 x 1000 = 7270

31.7 x 100 = 31707.27 x 1000 = 7270

Division.

1. 4.353 3 =..


214/279

4.353)31

-3

1 3

4

-1 215

5

-1503

1

30

.

2. 7.80 5 =..

1 56.


215/279

7.80)5-5

2 8

-2 530

-300

3. 0.714 7 =..


216/279

0.714)7 0

-7

01

1

- 014

0

-14

0

2.

4. 46.645 5 =..

9 329.


217/279

46.645)5-45

16

- 151 4

-10

45-450

5. 2.712 6 =..


218/279

2.712)6 0

-0

2 7

4

- 243 1

5

-30

1

2.

2-120

6. 16 5 =..

Division decimal without remainder.


219/279

6. 16 5

16)53

-1510

2

- 10

0

.0

7. 74 4 =..


220/279

74)41

-4

34

8

- 322

.0

0

5

-200


221/279


222/279


223/279

11. 32 5 =..


224/279

32)56

-30

20

4

- 20

.0

0

Divide decimals by 10, 100, 1000.

1. 456.12 10 =..


225/279

= 4 5 6.1 2.

= 45.612

2. 45.612 10 =..

= 4 5. 6 1 2.

= 4.5612

3. 4.5612 10 =..

= 4.5 6 1 2.


226/279

= 0.45612

4. 786.54 100 =..

= 7 8 6. 5 4.

= 7.8654


227/279

7. 654.23 1000 =..

= 6 5 4. 2 3.


228/279

= 0.65423

8. 65.423 1000 =..

= 6 5. 4 2 3.

= 0.065423

9. 6.5 1000 =..

= 6. 5.

=0.0065


229/279

56.12 10 =.. 5.612

56.12 100 =.. 0.5612

56.12 1000 =.. 0.05612

4.35 10 =.. 0.435

4.35 100 =.. 0.0435

4.35 1000 =.. 0.00435


230/279

UKURAN PANJANG


231/279


232/279

C D


233/279

0 10 20 30 40 50mm

CD = 32 mm.

0 10 20 30 40 50mm

C D

CD = 27 mm.

mm

mm

3.2 cm

2.7 cm

A B


234/279

0 1 2 3 4 5cm

AB = 2 cm.

0 1 2 3 4 5

cm

A B

AB = 4 cm.

20 mm

40 mm

A B


235/279

0 1 2 3 4 5cm

AB = 2.9 cm.

0 1 2 3 4 5cm

A B

AB = 3.2 cm.

cm

cm

LENGTH

Unit of length x


236/279

mmcmmkm

10

_..

1001000

Convert to km.

1000x

_.


237/279

mkm.

1. 3 123 m = ___ km

3 123 m = 3 123 1000_..

= 3.123 km

..

2. 698 m = ___ km

698 m = 698 1000_..

..


238/279

= 0.698 km

3. 13 123 m = ___ km

13 123 m = 13 123 1000_..

= 13.123 km

..

Convert to m.

1000x

_.


239/279

mkm .

1. 3.6 km = ___ m3.6 km = 3.6 x 1000

= 3600 m

2. 3.65 km = ___ m

3.65 km = 3.65 x 1000


240/279

= 3650 km

3. 3.654 km = ___ m

3.654 km = 3.654 x 1000

= 3654 m

4. 1 234 m = ___ km

1 234 m = 1 234 1000_..

..


241/279

= 1.234 km

5. 4.79 km = ___ m

4.79 km = 4.79 x 1000

= 4790 m

6. 186 m = ___ km

186 m = 186 1000_..

..


242/279

= 0.186 km

7. 8.7 km = ___ m8.7 km = 8.7 x 1000

= 8700 m

8. 238 m = ___ km

238 m = 238 1000_..

..


243/279

= 0.238 km

9. 3.6 km = ___ m3.6 km = 3.6 x 1000

= 3600 m


244/279

WANG


245/279

RM15.00 = Fifteen ringgit

RM23.45 = Twenty- three ringgit and forty five sen

Lima belas ringgit

Dua puluh tiga ringgit empat puluh lima sen

RM25 50 T t fi i it d fift


246/279

RM25.50 = Twenty-five ringgit and fifty sen

RM67.75 = Sixty-seven ringgit and seventy- five sen

Dua puluh lima ringgit lima puluh sen

Enam puluh tujuh ringgit tujuh puluh lima sen

RM125.05 = One hundred twenty-five ringgit and five


247/279

sen.

RM791.00 = Seven hundred and ninety-one ringgit .

Seratus dua puluh lima ringgit lima sen

Tujuh ratus sembilan puluh satu ringgit


248/279

One thousand fifty ringgit and fifteen

sen

RM1 050.15 =

Seribu lima puluh ringgit lima belas sen


249/279

RM3400.00 = Three thousand four hundred ringgit

Tiga ribu empat ratus ringgit

Write the following in words.

1. RM6 456.75 =

Six thousand four hundred fifty-six ringgit and


250/279

seventy-five sen.

2. RM45 653.60 =

Forty-five thousand six hundred fifty-three

ringgit and sixty sen.

Enam ribu empat ratus lima puluh enam

ringgit tujuh puluh lima sen.

Empat puluh lima ribu enam ratus lima puluh

tiga ringgit enam puluh sen.

3. RM8 962.73 =

Eight thousand nine hundred sixty-two ringgit

and seventy-three sen.


251/279

4. RM51 349.21 =Fifty-one thousand three hundred forty-nine

ringgit and twenty-one sen.

Lapan ribu sembilan ratus enam puluh dua

ringgit tujuh puluh tiga sen.

Lima puluh satu ribu tiga ratus empat puluh

sembilan ringgit dua puluh satu sen.

5. RM62 789.10 =

Sixty-two thousand seven hundred eighty-

nine ringgit and ten sen.


252/279

6. RM21 468.45 =Twenty-one thousand four hundred sixty-eight

ringgit and forty-five sen.

Enam puluh dua ribu tujuh ratus lapan puluh

sembilan ringgit sepuluh sen.

Dua puluh satu ribu empat ratus enam puluh

lapan ringgit empat puluh lima sen.

7. RM10 345.60 =Ten thousand three hundred forty-five ringgit

and sixty sen.


253/279

8. RM25 067.25 =Twenty-five thousand sixty-seven ringgit and

twenty-five sen.

Sepuluh ribu tiga ratus empat puluh lima

ringgit enam puluh sen.

Dua puluh lima ribu enam puluh tujuh ringgit

dua puluh lima sen.

Read the following in numerals :

1.Ninety-five thousand two hundred twenty-

seven ringgit and thirty sen

S bil l h li ib d t d l h


254/279

= RM95 227.30

2.Sixty thousand thirty-six ringgit and thirty-two

sen.

= RM60 036.32

Sembilan puluh lima ribu dua ratus dua puluh

tujuh ringgit tiga puluh sen.

Enam puluh ribu tiga puluh enam ringgit tigapuluh dua sen.


255/279

5. Seventy-three thousand sixty-two ringgit andsixty sen.

Tujuh puluh tiga ribu enam puluh dua ringgit

enam puluh sen


256/279

= RM73 062.60

6. Four thousand twenty-seven ringgit and thirty-six sen.

= RM4 027.36

enam puluh sen.

Empat ribu dua puluh tujuh ringgit tiga puluh

enam sen.

7. Fifty-three thousand sixty-two ringgit andsixty-seven sen.

Lima puluh tiga ribu enam puluh dua ringgit

enam puluh tujuh sen


257/279

= RM53 062.67

8. Nine thousand twenty-seven ringgit andthirty sen.

= RM9 027.30

enam puluh tujuh sen.

Sembilan ribu dua puluh tujuh ringgit tiga

puluh sen.


258/279

PURATA

AVERAGE

Ali Nur

What is the


259/279

What is theamount of pen

each group get

if the quantityis the same.

+

24 + 2

2= 2

A B What is theamount of boxes

each group get

if the quantity


260/279

if the quantityis the same.

+

2

8 + 4

2= 6

Bala Murni

+


261/279

What is the amount

of love symbols each

group get if thequantity is the same.

+

2

A B C

+


262/279

+

3

5 + 4 + 3

3= 4

Ali Nur Murni

+


263/279

+

3

4 + 2 + 3

3 = 3

Average is to make quantity in

each group the same

Average


264/279

each group the same.

Average = Total of quantity

Number of quantity

Find the average of these numbers.

1) 14 and 16

T t l f tit


265/279

Average =Total of quantity

Number of quantity

= 14 + 16

2

= 302

= 15

2) 37 and 15

Average =

Total of quantity


266/279

Average = Number of quantity

=

37 + 15

2

= 522

= 26

3) 37 , 15 and 26.


Number of quantity


267/279

Number of quantity

= 37 + 15 + 26

3= 78

3

= 26

4) RM 15 , RM 23 and RM 31


Number of quantity


268/279

Number of quantity

= RM15 + RM23 + RM 31

3= 69

3

= 23

5) 48 kg , 50 kg and 25 kg


Number of quantity


269/279

Number of quantity

= 48 kg + 50 kg + 25 kg

3= 123

3

= 41

6) 47 ml and 25 ml

Average =

Total of quantity

f


270/279

Average = Number of quantity

=

47ml + 25ml

2

= 722

= 36 ml

1.Ali spent RM5.00, RM6.00 andRM4.00 for three days. Find the

average amount of money spent in one

day


271/279

day.


Number of quantity

= RM5 + RM6 + RM4

3

= RM153

= RM5

2. In one week Irfan reads 10 books,Samad reads 12 books and Nabila reads

14 books. Find the average number of

books that they read in a week ?


272/279

books that they read in a week ?


Number of quantity

= 10 + 12 + 14

3

= 363

= 12

3.What is the average weight of threegirls that weight 40 kg, 39 kg and 38 kg.

Average = Total of quantity


273/279

Average = Total of quantityNumber of quantity

= 40 kg + 39 kg + 38 kg3

= 117

3= 39 kg

months score

Jan 89

4. Find the average test score that Aliobtained for the months of Jan. to March.


274/279

Jan. 89Feb 96March 100

Average =Total quantity

No. quantity

= 89 + 96 + 100

3

=2853

= 95

5.Table show the number of toy carsbelonging to three boys.What is the

average number of toy cars of each child.

Children Toy car


275/279

Children Toy carAli 15

Ravi 9

Dollah 12


No. quantity

= 15 + 9 + 12

3

=36

3

= 12

6. The table shows the number of cakesa bakery sells for three days. Find the

average number of cakes sells in one

day Days Cakes


276/279

day. Days CakesMonday 13

Tuesday 14

Wednesday 18


No. quantity= 13 + 14 + 18

3

=45

3

= 15


277/279


278/279


279/279

Apa Yang Anda Perlu Tahu Sebelum Menjawab Kertas Maths

Documents

Transcript of Apa Yang Anda Perlu Tahu Sebelum Menjawab Kertas Maths