Mathematics Sk Saujana Impian

7/31/2019 Mathematics Sk Saujana Impian

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SK SAUJANA IMPIAN

2012

MATHEMATICS


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WHOLE NUMBERS

Place Values and Values of Digits

2 5 3 9 4 1 7

MillionsHundreds ThousandsTen ThousandsThousandsHundredsTensOnes

710

4009 00030 000500 0002 000 000


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Round Off Numbers

3 2 8 6 9 7 0 = 3 290 000

(to the nearest ten thousands)

6 is more than 5. Thus, add I to the digit to be rounded off

6 1 3 4 8 9 5 = 6 000 000

(to the nearest million)

1 is less than 5. Thus, retain the digit to be rounded off.


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Mixed Operations

Follow rules of

B O D M A S

Brackets

Of

Division

Multiplication

Addition

Subtraction

Left to Right


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Subtraction

4

127

6

31

6

12

6

47

2

11

6

12

3

27

2

11

6

12

3

27

3

3

2

2

x

x

x

x

06

3

6

1

6

4


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Multiplication

850

5017

2004

17

200

4

14

200414

of

1

50


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Division

4

1

61

31

63

1

6

16 aswrite

change

5

3

4

1

5

12

45

22

3

1


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4

1

1

2

8

1

2

1

8

1

1

4

3

1

2

2

3

2

1

2

11

1

1


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Convert 1.05 to fraction

20

1

1100

5

1 5

5


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Convert Mixed Number toImproper Fraction

1017

107101

1071


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Convert Improper Fraction toMixed Number

4

3

20

235523

534


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Equivalent Fraction

9

6

3

2 3

3


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Fraction of The Shaded Part

4

3


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Fraction in Simplest Form

3

1

24

8

8

8


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DECIMALSAddition

6.2 + 1.05 =

25.7

05.1

20.6

+


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Subtraction

7 4.103 =

897.2

103.4

000.7

-


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Multiplication

0.27 x 19 =

x0.27

19

2 43

2 47

5.13


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Division

03.124.88

8

2

0

2424

. .


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Mixed Operation

10 2.84 + 3.167 6 =

1 0 . 0 0 0

2 . 8 4 0

7 . 1 6 0

3 . 1 6 7

1 0 . 3 2 7

6 . 0 0 0

4 . 3 2 7

+

Calculate from

left to right


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Convert to decimals

5

24.0

0

02

0.25


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Convert Decimals to Percentages

10029129.1

%129

100

129

100

291001


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Percentage of Quantity

40% of 180 marbles

marbles72

184

018

001

04


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One Number as a Percentage of Another

RM30 out of RM120

%25

%

12

1030

%100

120

30


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Percentage of the shaded part

%25

%1004

1


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MONEY

70.168

20.7650.92

20.7681050.902

RM

RMRM

RMRMRM

Mixed Operation

00.810

50.905

RM

RM

20.76

50.92

RM

RM

70.168RM

-

+

Calculate from left toright

Decimal point are in a

vertical line


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90.6747

00.254690.4201)825.318(90.4201

RM

RMRMRMRM

Do the calculation inbrackets first.

25.318RM

8

00.2546RM

90.4201RM

00.2546RM+

90.6747RM


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Time


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Units of time

1 minutes = 60 seconds

1 hour = 60 minutes1 day = 24 hours

1 week = 7 days1 year = 12 months


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12-hour System and 24-hour System

0000hours

12:00midnight

0600hours

1200hours

1800hours

2400hours

6:00 a.m 12:00noon

6:00 p.m 12:00midnight


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Fraction of time duration

3

4of 1

year=

3

4x 1 year

3

4 x 12 months

3

=

= 9 month

Start time and End time

End time = Start time + Time duration

Start Time = End Time - Time duration

Duration = End Time Time duration


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Fraction involving length

4

5of 70 km =

4

5x 70 km

14

= 56 km

213

of 12 m =5

3x 12 m

4

= 20 km= ( 20 X 100 )

cm= 2 000 cm


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addition

= ( 4.2 X 1 000 ) m + 250 m

4.2 km + 250

m

= 4 200 m + 250 m

= 4 450 m

4 200 m

250 m4 450 m

+


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subtraction

= 7.6 cm - ( 8 10 ) cm

7.6 cm + 8

mm

= 7.6 cm 0.8 cm

= 6.8 cm

7.6 cm0.8 cm

6.8 cm

-


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MASS

RELATIONSHIP BETWEEN UNITS OF MASS

kg g

X 1000

1000

1 kg = 1 000 g


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Fraction involving mass

4

7of 1 022 g=

4

7x 1 022 g

146

= 584 g

324

of 20 kg =11

4x 20 kg

5

= 55 kg


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addition

= ( 5.9 X 1 000 ) g + 1 360 g

5.9 kg + 1 360 g

= 5 900 g + 1 360 g

= 7 260 g

1 360 g5 900 g

7 260 g

+


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subtraction

= 7.1 kg - ( 280 1 000 ) kg

7.1 kg - 280 g

= 7.1 kg 0.28 kg

= 6.82 kg

7.10 kg0.28 kg

6.82 kg

-


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Volume of liquid


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Convert 1.08 to1.08 = (1.08 x 1000)

= 1080

Fractions Involving Volume of Liquidof 135 kg = x 135 kg

= 75 kg

l ml

l ml

ml

9

5

9

5

Volume of liquid


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Addition

0.86 + 120

= 0.86 + (120 1000)

= 0.86 + 0.12= 0.98

subtraction

4036 - 2.9

= 4036 - (2.9 x1000)

= 4036 - 2900

= 1136

l

ml

l

mll ml

l

ml

ml

ml

mll

l


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Area

a x b

a = length,

b = breath

x base xheight

Volume 3D shapes

= Length x width xheight2

1

a

b


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Shape and Space

square TriangleRectangle

Isosceles

triangle

Equilateral

triangle

Right angled

triangle


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3-D shapes

CubeCone

Cuboid

Cylinder

SphresPyramid

P i t


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b b a + b + a + b(2 x a) + (2 x b)

a

a

Surface area of P = 5 x ( 3 cm x 3

cm )

= 45

Surface area of Q = 5 x ( 3 cm x 3cm )

= 45 cm

Total surface area = 45 + 45

= 90

2cm

2cm

2cm

2cm

2cm

Perimeter

Total surfacearea

P

Q


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Data handling

Average =Total values of the items

Number of items

Average of 6, 24, 18 and

32= 6 + 24 + 18 +

32

4

= 804

= 20


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Pie chart- The pie chart shows the favourite fruits of 20 children

35%

20%

20%

25% Durian

Mango

Startfruit

Apple

The frequency of the favourite fruit is the number of

children who like the fruit.

Example : frequency of durian = x 20 children

= 7 children

100

35


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Range is the difference between the highest and the

lowest number of pupils.

Example: durian 7 ( highest)

Mango or starfruit - x 20 = 4 (lowest)

Range = 7 4 = 3 children

100

20

Mean is the average number of children for the various

types of favourite fruit.

Example; Mean = = 5 children

Mode is a value or item which occurs most frequently.

Eg : Durian is the mode and its frequency is 7.

4

20

Mathematics Sk Saujana Impian

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