upsr matematik

TEKNIK MENJAWAB TEKNIK MENJAWAB SOALANSOALAN

MATEMATIK UPSR 2010 MATEMATIK UPSR 2010

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EN. S. MUTHARASANEN. S. MUTHARASAN

SJK (T) BAGAN SERAISJK (T) BAGAN SERAI

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MathematicsMathematics

PaperPaper 1 – 40 Questions 1 – 40 Questions 1 hour 1 hour

Peper 2 – 20 Questions Peper 2 – 20 Questions 40 minutes 40 minutes

Whole NumbersWhole Numbers Place Values and digit valuesPlace Values and digit values

Comparing number valuesComparing number values Partition the numbersPartition the numbers Round off numbersRound off numbers Number LineNumber Line Basic operations involving numbersBasic operations involving numbers

Addition Addition SubtractionSubtraction MultiplicationMultiplication DivisionDivision

•Mixed operation involving + and Mixed operation involving + and --•Carry out the operation from left to rightCarry out the operation from left to right

•2078 + 125 – 692078 + 125 – 69• 2203 – 69 = 2203 – 69 = •21342134

•Mixed operation involving X and ÷Mixed operation involving X and ÷• Carry out the operation from left to rightCarry out the operation from left to right• 305 X 7 ÷ 5 = 305 X 7 ÷ 5 = •Carry out the operation from left to rightCarry out the operation from left to right

•2135 ÷ 5 = 4272135 ÷ 5 = 427

Whole NumbersWhole Numbers

Whole NumbersWhole NumbersBODMAS (Brackets of division, BODMAS (Brackets of division,

multiplication, addition and subtraction)multiplication, addition and subtraction) 4832 + 246 X 4 =4832 + 246 X 4 =

Multiply first, then add. 4832 + (246 X 4)Multiply first, then add. 4832 + (246 X 4) 4832 + 984 = 58164832 + 984 = 5816

(1105 ÷ 5) X (74 – 48 ) =(1105 ÷ 5) X (74 – 48 ) = 221 X 26 =221 X 26 = 57465746

TIMES TABLETIMES TABLE

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 36

5 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 63 72

9 18 27 36 45 54 63 72 81

11261126 25 = 25 = X 2 5

1 2 5 252 4 10 503 6 15 754 8 20 1005 10 25 1257 14 358 16 409 18 45

MIXED OPERATIONSMIXED OPERATIONS1.1. 45 + 20 – 12 = 45 + 20 – 12 =2.2. 90 - 70 + 20 = 90 - 70 + 20 =3.3. 45 X 3 45 X 3 ÷ 5 =÷ 5 =4.4. 388 388 ÷ 4 X 24 =÷ 4 X 24 =

5.5. 4613 + 396 X 3 = 4613 + 396 X 3 =6.6. 6880 – 45 X 5 = 6880 – 45 X 5 =7.7. 6307 + 287 6307 + 287 ÷ 7 ÷ 7 ==8.8. 5019 – 152 5019 – 152 ÷÷ 4 = 4 =9. 96 X (4224 – 4209) =9. 96 X (4224 – 4209) =

1.1. 53532.2. 40403.3. 27274.4. 23282328

5.5. 580158016.6. 665566557.7. 634863488.8. 498149819.9. 14401440

FRACTIONFRACTION

Proper fractionsProper fractions Equivalent fractionsEquivalent fractions Improper fractionsImproper fractions Addition and Addition and

subtraction of subtraction of fractionsfractions

Multiplication of Multiplication of fractionsfractions

Division of fractionDivision of fraction

15 X 3

2 21 X 7

12

9

1

3

1

3

2

5

13

2

13 -

10

78

4

15

3

21

15

10

6

4

3

2

DecimalsDecimals Name and write decimals.Name and write decimals. Place values and digit Place values and digit

valuesvalues Basic operations involving Basic operations involving

decimals.decimals. Mixed operations of Mixed operations of

decimals.decimals. Problem solvingProblem solving

103

1006

203

51

1 2 3.4 5 6thousandths

MONEYMONEY Read and write the value of money in words and Read and write the value of money in words and

numerals.numerals. Rounding off money.Rounding off money. Basic operations involving money.Basic operations involving money. Mixed operations involving money.Mixed operations involving money. Problem solving.Problem solving.

Discount – New Selling PriceDiscount – New Selling Price Pay increase – New PayPay increase – New Pay Profit = Selling Price – Cost PriceProfit = Selling Price – Cost Price

Percentage profit = Profit/Cost Price X 100%Percentage profit = Profit/Cost Price X 100% Loss = Cost Price – Selling PriceLoss = Cost Price – Selling Price

Percentage loss = Loss/Cost Price X 100%Percentage loss = Loss/Cost Price X 100%

TimeTime

Time systems – 12 hour system, 24 hour Time systems – 12 hour system, 24 hour systemssystems

Relationships between units of timeRelationships between units of time 1 minute = 60 seconds1 minute = 60 seconds 1 hour = 60 minutes1 hour = 60 minutes 1 hour = 3600 seconds1 hour = 3600 seconds 1 day = 24 hours1 day = 24 hours 1 year = 12 months1 year = 12 months 1 decade = 10 years1 decade = 10 years 1 century = 100 years1 century = 100 years

TimeTime

Durations of eventsDurations of events Calculating the duration of an eventCalculating the duration of an event Determining starting or ending time of eventsDetermining starting or ending time of events

Duration = Ending time – Starting timeDuration = Ending time – Starting time Starting time = Ending time – durationStarting time = Ending time – duration Ending time = Starting time + durationEnding time = Starting time + duration

Solving Problems involving durationsSolving Problems involving durations Find the duration from 6 April 2008 to 29 April 2008Find the duration from 6 April 2008 to 29 April 2008

24 days24 days Find the duration from 15 July 2008 to 8 Sept 2008Find the duration from 15 July 2008 to 8 Sept 2008

56 days 56 days

Length , Mass and Volume of liquidsLength , Mass and Volume of liquids Measuring Length, comparing ,masses Measuring Length, comparing ,masses

of mass, Comparing volumes of liquidsof mass, Comparing volumes of liquids Measuring, reading and estimatingMeasuring, reading and estimating

Relationship between units of lengthRelationship between units of length Relationship between units of MassRelationship between units of Mass Relationship between units of Volume Relationship between units of Volume

of liquidsof liquids Basic operations involving length, Basic operations involving length,

mass and volume of liquids.mass and volume of liquids.

FractioFractionn

DeciDecimalsmals

%% Kg/gKg/g Km/mKm/m l/l/mlml RM100RM10000

m/cmm/cm

0.50.5 5050 500500 500500 500500 500500 5050

0.250.25 2525 250250 250250 250250 250250 2525

0.750.75 7575 750750 750750 750750 750750 7575

0.20.2 2020 200200 200200 200200 200200 2020

0.40.4 4040 400400 400400 400400 400400 4040

0.1250.125 12.512.5 125125 125125 125125 125125 12.512.5

0.3750.375 37.537.5 375375 375375 375375 375375 37.537.5

0.6250.625 62.562.5 625625 625625 625625 625625 62.562.5

1

2

3

4

1

4

1

52

5

3

8

1

8

5

8

AverageAverage

Total ValueTotal Value Number of itemsNumber of items = =

Number of itemsNumber of items = = AvarageAvarage

Total ValueTotal Value = = AvarageAvarage Calculate the average of numbes.Calculate the average of numbes. To find the missing value in a range of numbers.To find the missing value in a range of numbers.

BIG SMALLBIG SMALL

kg g x 1000kg g x 1000

km m x 1000km m x 1000

l ml l ml x 1000x 1000

hour minutes hour minutes x 60x 60

year months year months x 12x 12

SMALL BIGSMALL BIG

g kg g kg 1000 1000

m km m km 1000 1000

ml l ml l 1000 1000

minutes hour minutes hour 60 60

month year month year 1212

PercentagesPercentages Convert Fractions and decimals to Convert Fractions and decimals to

percentagepercentage Problem solving Problem solving

Profit and lossProfit and loss Income and expenditureIncome and expenditure DiscountsDiscounts TaxesTaxes DividendsDividends

PercentagesPercentages

Two-dimensional shapesTwo-dimensional shapes Perimeter & AreaPerimeter & Area SquareSquare RectangleRectangle Triangle – isoceles (2), equilateral (3), right angleTriangle – isoceles (2), equilateral (3), right angle

3D shapes3D shapes Surface AreaSurface Area VolumeVolume

Solving problems involving 2D and 3D Solving problems involving 2D and 3D composite shapescomposite shapes

Shape and SpaceShape and Space

Data HandlingData Handling PictographsPictographs Bar GraphsBar Graphs Pie ChartsPie Charts Organising and interpreting Organising and interpreting

DataData FrequencyFrequency ModeMode RangeRange MaximumMaximum MinimumMinimum Min (Average)Min (Average)

ScoreScore NumbeNumber of r of pupilspupils

11 55

22 44

33 33

44 22

55 11

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