TEKNIK MENJAWAB TEKNIK MENJAWAB SOALANSOALAN
MATEMATIK UPSR 2010 MATEMATIK UPSR 2010
UPSR UPSR ¸½¢¾õ §¾÷× ¸½¢¾õ §¾÷× «ÏÌӨȫÏÌÓ¨È
EN. S. MUTHARASANEN. S. MUTHARASAN
SJK (T) BAGAN SERAISJK (T) BAGAN SERAI
Óò¾Ãºý ¦ºø¨Ä¡Óò¾Ãºý ¦ºø¨Ä¡À¡¸ý ¦ºÃ¡ö ¾Á¢úôÀûÇ¢À¡¸ý ¦ºÃ¡ö ¾Á¢úôÀûÇ¢
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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