Mathematics Upsr Tip

MATHEMATICS UPSR PAPER FORMAT PAPER

TYPE OF QUESTION

1 2

OBJECTIVE SUBJECTIVE

TYPE OF ANSWER MCQ : A, B, C, D WRITTEN METHOD

NUMBER OF QUESTIONS 40 20

TOTAL

60

TIME GIVEN 1 HOUR 40 MINUTES 1 HOUR AND 40 MINUTES

TOPICS 1. WHOLE NUMBERS

A. Name and write numbers up to seven digits. 4 336 607 __ __ __ __ __ __ __

B. i). Determine the place value. 7 546 122 hundred thousands ii). Determine the digit value. 8 880 275 80 000 C.

 partition the numbers,  write the numbers in extended notation,  broken down the number according to its digit value. 4 246 328 4 000 000 + 200 000 + 40 000 + 6 000 + 300 + 20 + 8 D. Express whole numbers in decimals and fractions of a million. WHOLE NUMBER 1 000 000 250 000

DECIMAL OF A MILLION 1.0 million 0.25 million

500 000

0.5 million

750 000

0.75 million

FRACTION OF A MILLION 1 million 1 million 4 1 million 2 3 million 4

E. Comparing and arranging numbers. F. Rounding off numbers :To the nearest ten, hundred, thousand, ten thousand, hundred thousand and million. 264 325 Round off this number to the nearest thousand

KHAIRUL FAISAL BIN YAHYA SK RAJA MUDA MUSA

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a. Underline the place to which you are rounding. b. Look at the digit to the right of the underlined digit. If the digit is 5 or more, add 1 to the underlined digit. If it is less than 5, leave the underlined digit unchanged. c. Replace all the digits to the right of the underline with the zeros. G.

4 OPERATIONS

Addition

Subtraction

Multiplication

Division

MIXED OPERATIONS Use BODMAS rules Brackets of Division, Multiplication, Addition and Subtraction

2. FRACTIONS A. Addition of fractions  Add mixed numbers with the same denominators,  Add mixed numbers with different denominators,  Solve problems involving addition of mixed numbers. B. Subtraction of fractions  Subtract mixed numbers with the same denominators,  Subtract mixed numbers with different denominators,  Solve problems involving subtraction of mixed numbers. C. Multiplication of fractions Multiply mixed numbers by whole numbers. TIPS To multiply mixed numbers Change each mixed number to its equivalent improper fraction, Follow the steps for multiplying fractions, and Write the answer in simplest form D. Division of fractions  Divide fractions by whole numbers,  Divide fractions by fractions. TIPS To divide fractions Change the divisor to its reciprocal,


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Multiply the resulting fractions, and Simplify the answer.

FRACTIONS

ADDITION Finding the sum of three mixed number with denominator of up to 10 1 3 1 2 8 + 18 + 14 1 3 1 = ( 2 + 1 + 1 ) + ( 8 +8 +4 ) 4 2 = 4 + (8 +8 ) 6

= 4 +8 = 4

SUBTRACTION Finding the difference between mixed numbers with Denominators of up to 10

5 = (5

=

1

x

1

16 18

- 2

10

- 16 6 18

3

) - 118

3

- 1 18

7 18

3

44

MULTIPLICATION Multiplying mixed numbers with a whole number of up to 1000

22

1

- 23

= 318 = 2

6 8

8 9

DIVISION Dividing a fraction with a whole number and a fraction

300

= 5 x 300 2 = 750

1 2

÷ 5

= 1 ÷ 2 = 1 x 2 = 1 10

5 1 1 5

TYPES OF QUESTIONS 1. Mixed numbers, addition, subtraction and multiplication operation. 2. Convert the state of fraction to percentage and decimals. 3. Relate fractions to diagram. 4. Simplification of fraction.


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3.

DECIMALS

MIXED OPERATIONS OF DECIMALS

Adding and Subtracting three to four decimals numbers Of up to three decimals places.

10 - 4.32 + 2.137 = 10. _ _ _ - 4. 32 _ + 2.137 = 10. 000 - 4.320 + 2.137 = TIPS TO ADD DECIMALS  Rewrite the numbers vertically, lining up the decimal points.  Add, and  Insert a decimals point in the answer below the other decimal points.

TO SUBTRACT DECIMALS  Rewrite the numbers vertically, lining up the decimal points.  Then, subtract adding extra zeros in the minuend if necessary for borrowing.  Insert a decimal point in the answer, below the other decimal points. TYPES OF QUESTIONS  Value of tenths, hundredths and thousandths,  Decimals in four basic operations and in units ( mm, km, m, kg, g , ml ),  Convert of fraction and percentage to decimals,  Arrangement of points of decimals.


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4. PERCENTAGE

CONVERSION

Mixed number to percentage

Decimal to percentage

3 14

265 2.65 = 100

=

7 4 = 7 x 25 4 x 25 = 175 100 = 175%

= 265 %

Percentage of a quantity

45% of 200 pupils 45 x 200 100 = 90 pupils

TYPES OF QUESTIONS  Value in percentage,  To find quantity / amount from percentage given,  To convert the state of fraction to fraction and decimals,  To make an average on percentage,  Percentage involving diagram. TIPS To change a decimal to the equivalent percentage Move the decimal point two places to the right KHAIRUL FAISAL BIN YAHYA SK RAJA MUDA MUSA

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And insert the 100% sign.

2.75 = 275%

5.

MONEY

Mixed operations involving money In mixed operations involving addition and subtraction, Calculate from left to right. If there are brackets, solve them first. Example; RM2 400 – (RM125.05 + RM21) RM 125 . 05 + RM 21 . 00 RM 146 . 05

RM 2 400.00 - RM 146.05 RM 2 253.95

TIPS The decimal point that separates the ringgit and the sen must be aligned on a vertical line when performing basic operation. TYPES OF QUESTIONS 1. Value of money RM and sen 2. Bill ( quantity, price per unit, price, balance….) 3. Changes of unit of money 4. Profit and loss 5. Money and the four basic operations 6. Calculation involving fraction and percentage.


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6.

TIME Duration Calculating the duration of an event between months, years and dates Example; Find the duration, in years, months and days, from 25 March 2006 till 30 June 2007.

25 March 2006

25 March 2007

31 March 2007

30 June 2007

Duration = 1 year 3 months 6 days FRACTION OF TIME DURATION 2 of 1 year 3 = 2 x 12 months 3 = 8 months REVISION ( LET US DO THESE ! ) 1. Convert 11.55p.m 24-hour system. 2. Convert 0.4 minutes to seconds. 3. Convert 5 hour to minutes and seconds 8 4. Convert 3 day to hours and minutes. 5 5. 100 decades = ________centuries


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6. Find the duration from 0720 hours to 2315 hours = ____________________ 7.

3 hr 40 min 50 s + 2 hr 25 min 20 s

7.

8. 2 hr 18 min 42 s x 3

9.

4 hr 38 min 12 s - 1 hr 12 min 40 s

LENGTH Fraction involving length ( COMPUTATION OF LENGTH) 3 x 120 km 5 = 360 km 5 =72 km

REVISION ( LET US DO THESE ) 1. Convert 8.2 km to m = __________m 2. Convert 1.035 m to km = ___________km 3. Convert 2 km to m = _________m 5 4. 3 km + 125 m = __________m 5. 1.7 km - 429m = _________ m 6. 5.25 km x 6 = _________km 7. 7 180 m ÷ 10 = ________km TIPS!

DRAW AND USE THE TABLE BELOW FOR CONVERSATION Km 3

m 1

2

6

Convert 3.126 km to m = 3126 m SOLVING PROBLEMS 1. READ THE QUESTIONS AT LEAST 3 TIMES. 2. THEN EXTRACT INFORMATION  What is given?  What is asked for?  What operation?  SOLVE..  Check


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Example;

Some workers planted hibiscus plant along a road divider. They planted red hibiscus along a stretch of 0.875 km and pink hibiscus along a stretch of 625 m. What was the total length of the row of hibiscus plant in metres, along the divider?

8.

MASS FRACTION INVOLVING MASS 1

Of 30 kg

= 5 x 30 kg 2 = 150 kg 2 = 75 kg REVISION ( LET US DO THESE ) 1. Convert 1 kg to g = _________g 2. 3 kg 200g - 1 kg 750g =_________g 3. 5 kg + 500g = _______kg 4. 8.216 kg – 780g= ________kg 5. 2.506 kg x 3 = _________g 6. 12.9 kg ÷ 1 000 = __________g

9.

VOLUME OF LIQUID

Fraction involving volume of liquid

=

5 of 400 ml 8 5 x 400 ml

=

2 000 ml

8


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8 250 ml

=

10.

SHAPE AND SPACE TWO-DIMENSIONAL ( 2-D ) SHAPES PERIMETER 5 cm 3 cm

4 cm Perimeter = (4 cm x 3 ) + 5 cm + 3 cm = 12 cm + 5 cm + 3 cm = 20 cm AREA A 4 cm 3 cm

BB

B

4 cm

10 cm Area of A = 1 x base x height 2 = 1 x 3 cm x 4 cm 2 = 6 cm2 Area of B = Length x Breadth = 10 cm x 4 cm = 40 cm2 KHAIRUL FAISAL BIN YAHYA SK RAJA MUDA MUSA

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Total area = 6 cm2 + 40 cm2 = 46 cm2

THREE – DIMENSIONAL ( 3-D ) SHAPES VOLUME

12 cm 4 cm

B

A

Volume of A = Length x Breadth x Height = 4 cm x 4 cm x 4 cm = 64 cm3 Volume of B = Length x Breadth x Height = 4 cm x 4 cm x 12 cm = 192 cm3 Total volume = 64 cm3 + 192 cm3 = 256 cm3

11.

DATA HANDLING AVERAGE Average = Total of quantity Number of quantity Example: Average of 1.3, 3.26, 0.208 and 0.8 = 1.3 + 3.26 + 0.208 + 0.8


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4 = 5.568 4 = 1.392 PIE CHARTS

NAME ALI BIBI CINDY DIN EDI

STORYBOOKS READ 3 3 6 5 3

15% 30% 15%

25% 15%

EXTRACTING INFORMATION Determining the frequency, mode, range, average, maximum and minimum Value from a pie chart.


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VOCABULARY WHOLE NUMBERS Numeral , figure = angka Number Word = perkataan nombor Tens = puluh Ten thousands = puluh ribu Thousands = ribu Hundred thousands = ratus ribu Decompose = cerakin Determine = tentukan Digit Value = nilai digit Extended notation = bentuk cerakinan Place value = nilai tempat Arrange = susun Ascending order = tertib menaik Descending order = tertib menurun Bigger = lebih besar Smaller = lebih kecil Addend=nombor yang ditambah Addition=penambahan Doubles= gandaan Estimate= anggar Number sentence=ayat matematik Regroup=kumpul semula Sum= hasil tambah Total=jumlah Vertical form= bentuk lazim Difference = perbezaan Inverse = songsangan Minuend = penolak Subtrahend = yang ditolak Trading = mengumpul semula Subtraction = penolakan Round off = bundarkan Nearest hundred = ratus terdekat Create = reka, bina Solve = selesaikan Lattice multiplication = pendaraban lattice Multiply = darab Multiplicand = nombor yang didarab

Times = darab Divide = bahagi Dividend = nombor yang dibahagi Divisible = boleh dibahagi tanpa baki Divisor = pembahagi Quotient = hasil bahagi Remainder/balance = baki Mixed operation = operasi bergabung FRACTIONS Denominator = penyebut Numerator = pengangka Proper fraction = pecahan wajar Improper fraction = pecahan tak wajar mixed number = nombor bercampur Whole = keseluruhan Conversion = penukaran Convert = tukar Number line = garis nombor simplest form = bentuk termudah/terendah equivalent fraction = pecahan setara equal share = sama banyak DECIMALS Decimal = perpuluhan Decimal point = titik perpuluhan Tenths = per sepuluhan Hundredths= per seratus Thousandths = per seribu Mixed decimal = perpuluhan bercampur Decimal place = tempat perpuluhan Place holder = pemegang tempat Compute = kira Horizontal form = bentuk mendatar approximate = penganggaran long division = bahagi panjang


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Multiplier = pendarab Product = hasil darab Repeated addition = penambahan berulang

solve problem = selesaikan masalah

PERCENTAGE Percent = peratus Percentage = peratusan Represent = mewakili Value = nilai Shaded squares = petak berlorek MONEY Amount = jumlah Coin = wang syiling Note = wang kertas Combination = gabungan Loan = pinjaman Deposit = penyimpanan wang Withdrawal = pengeluaran wang Dividend = faedah pelaburan Calculator = mesin kira Cost = harga Savings = simpanan Representative = perwakilan Discount = diskaun TIME 12-hour system = sistem 12 jam 24-hour system = sistem 24 jam analogue clock = jam analog digital clock = jam digital arrival time = waktu ketibaan departure time = waktu berlepas midnight = tengah malam noon = tengah hari minute = minit second = saat hour = jam day = hari year = tahun century = kurun decade = dekad event = peristiwa

LENGTH Distance = jarak measurement = ukuran record = catat metre = meter ( m ) kilometre = kilometer ( km ) Milimetre = millimeter ( mm ) Centimetre = sentimeter ( cm ) MASS mass = jisim weight = berat gram = gram ( g ) kilogram = kilogram ( kg ) VOLUME OF LIQUID liquid = cecair measure = sukat measuring cylinder = silinder penyukat volume = isipadu capacity = muatan,kapasiti beaker = bikar Litre = liter ( l ) mililitre milliliter ( ml ) container = bekas SHAPE AND SPACE bentuk = shape Area = luas volume = isipadu triangle = segitiga rectangle = segiempat tepat square = segiempat sama quadrilateral = sisiempat side = sisi vertex = bucu length = panjang breadth = lebar


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duration = tempoh masa schedule = jadual waktu start time = masa mula end time = masa tamat

height = tinggi DATA HANDLING Average = purata axis = paksi


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Mathematics Upsr Tip

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