Buku Tahun 6

NOMBOR BULAT :

CONTAINSBil

TOPICPAGES

1

Whole number2

2Basic Operation and mixed operation5

3Fraction13

4Decimal23

5Percentage26

6Money32

7Times41

8Measurement : Mass46

9Measurement : Volume of liquid51

10Measurement : Length55

11Space 2D61

12Space 3D71

13Average75

14Data Handling83

ANSWER90

13Revision exersice

SET 194

SET 2105

SET 3116

Answer of Revision exersice126

1.0 WHOLE NUMBER

REVISION : BASIC QUIZ OF WHOLE NUMBER1. 8 + 7 =

16Place value for 8 at 58 792 is

2. 17 - 9 =

17Round off 12 678 to the nearest thousands

______________

3. 8 x 4 =

18The total of 80 and 70 is

4. 63 ( 7 =

19The sums of 8 , 7 and 3 is

5. 3 x 63 ( 7 =

20Different between 17 with 9 is

6. 17 9 + 8 =

21Take away 90 from 170 is

7. Four hundreds thousand and sixty in numeral

22Minah has 12 oranges . Ali has 2 oranges more than Minah, Ali has =

8. Write in word 200 009

23Minah has 12 oranges.She gives 8 oranges to Ali , The rest =

9. Circle the biggest number

34 567 , 35 476 , 63 754

24The product of 8 times 4 is

10. Circle the the smallest number

14 765 , 51 467 , 15 764

25Multiply 3 with 6 =

11

Tick or cross the mathematic sentences below

65 863 is more than 56 368

37 987 is less than 19 743

26One box contains 80 beads ,

4 boxes = ________ beads

122730 divided by 6 =

13Rearange the numbers according the

a) Increasing number

234 , 324 , 432

2863 durians give equally to 7 pupils ,

1 pupils = _________

14b) Decreasing number ,

175, 571 , 751 , 157

29The total of staff = 40 , men = 18 , Women =

15Digit value for 6 at 862 942 is

30The total of pupils = 50 , boy = 24

Girl =

1.1 Name and write numbers up to 10 000 000

No

Value in wordValue in numeral

Ex.Two millions three hundred thousands and two2 300 002

1Eight millions thirty thousands and twenty seven

2Six millions thirty one thousands and seven

3Five millions and three hundreds

4Two millions four thousands and fifty

5Eight millions seventy thousands and five hundreds

6Seven millions two thousands and sixteen

7Three millions four hundreds and five

1.2Write numbers value in numeral.

No

ValueValue in numeral

Ex0.34 millions 340 000

11.098 millions

22.3 millions

33.45 millions

44.04 millions

55.003 millions

66.23 millions

77.7 millions

88.91 millions

1.3Express fractions millions in numeral

No

Fraction of millionValue in numeral

Ex EQ \F(1,2) millions500 000

11 EQ \F(1,4) millions








1.4Round off number to the nearest millions, hundres thousands , ten thousands and thousands .NoQuestionsMillionsHundred thousands Ten thousandsthousands

Ex2 323 8512 000 0002 300 0002 320 0002 324 000

14 545 389

25 356 409

32 099 004

4 5 230 643

56 498 123

67 245 093

79 235 942

2.0BASIC OPERATIONS WITH NUMBERS UP TO SEVEN DIGIT 2.1 Solve all the question in vertical form and state the answers in extended notation. Ex. 233 445 + 856 637 =

233 445 856 637 + 1090 082Extended notation

1000 000 + 90 000 +80 + 2

1. 711 654 + 456 238 =2. 728 323 523 456 =

3. 43 456 33

4. 564 576 12

5. 785 634 + 34567 =

2.2 Round off the answers to the nearest thousands

Ex. 817 654 22 729 =

817 654 22 729 795 925 Rounds off : 796 000

1. 34 765 + 234 718 =2. 2 157 965 566 028 =

3 76543 15 =

4 234 568 4 =5 765 376 + 345 876 =

2.3 State the answer in to decimals millions.

Ex. 875 000 4 875 000 4 3 500 000 3 500 000 = 3.5 million

1. 576 123 + 83 877 = 2. 872 243 52 243 =

3 33 750 40 =

4 3 120 000 8 = 5 876 543 + 623 457=

2.4Operation +,- , x , involving the fraction of decimal millions :

Ex . EQ \F(1,4) millions + 654 390 =

EQ \F(1,4) millions = 250 000 654 390 + 904 390

1. 2 EQ \F(1,2) million 654 834 =

2. EQ \F(1,4) million 8 =

3. 0.75 million 6 =

4. 876 023 + EQ \F(1,2) million =

5. 1 845 098 1.75 million =

6. 1 EQ \F(1,2) million 4 =7. 2 EQ \F(1,4) million 6 =

2.5MIXED OPERATION : WITHOUT BRACKETEx. 34 765 + 345 7 =

345

7 2415 34 765 ( 2 415 37 180

1. 45 987 + 54000 6 =

2. 834 545 2 374 9 =

3. 234 567 1 375 5 =

4. 55 777 + 23 468 9 =

5. 76 508 x 4 16=

2.6 MIXED OPERATION : WITH BRACKETSEx . ( 67 40) ( 345 7) =

67 40 = 2 680 345 7 = 2 415 2 680 2 415 - 165

1. ( 97 081 754) 8 =

2. (81 053 7) ( 855 9 ) =

3. 57 022 ( 765 32 ) =

4. ( 5600 58 ) ( 500 472) =

5. ( 8766 72 ) 32 =

2.7Problem solving Question Solution

Ex. Min bought 8 bunches of mangosteen. Each bunch contains 20 mangosteen. She gives 2 bunches to Kiah. The rest is given equally to his 4 sons . How many mangosteen each son got ? 8 20 = 160 2 20 = 40

120 4

= 30 .

1. Tan buys 4 boxes of chocolates. Every box has 70 small packets chocolates. He gives all the chocolates equally to his 14 pupils. How many packets will each pupil receive ?

2. Table 1 is incomplete shown the marks of five subjects given by Aznil. SubjeksMarkBahasa Melayu

87

Bahasa Inggeris

65

MathematicScienceKajian Tempatan

90

The total marks is 400. Mathematic and Science have equal marks. Calculates the marks of Mathematic?

3. Chandra has 120 marbles. His brother has 92 marbles. They must be have equally marbles.How many marbles should Chandran gives to his brother?

4. Table 2 is incomplete shown the point has received by three sports house.Sports house PointMerak

Helang

560Enggang

The total points for all sports house is 1500. Merak house is 60 points less than Enggangs house. Calculate the point of Enggangs house?

5. P stall sells 860 jackfruits. Q stall sells 3 times more than P stall.How many jackfruits did both stalls sell ?

6. Halim has 310 stamps. Zainol has 45 stamps more than Halims stamps. Fian has 2 times more than Zainols stamps. Calculate the Fians stamps?

7. 120 000 tonne of oil sold to four country.Pakistan bought 35 000 tonne , Cina bought 27 000 tonne and the rest bought equally by Iran and Iraq. How many tonne of oil bought by Iraq ?

3.0FRACTION REVISION : QUIZ MATHEMATIC OF FRACTION

1Write two and four over seven in numeral

15 Circle the improper fraction

EQ \F(7,9) , EQ \F(3,8) , EQ \F(7, 6) , EQ \F( 5, 9)

2Write in word EQ \F(3,7) 16 EQ \F(6,7) + EQ \F(4,7) = =

3

17 EQ \F(5,8) + EQ \F(1,2) = =

4

18 EQ \F(6,7) EQ \F(4,7) =

519 EQ \F(4,7) - EQ \F(1,3) =

6201 + EQ \F(6,7) =

7State the equivalent fraction of

EQ \F(3,7) =21Women = EQ \F(4,7) , men =

8 EQ \F(3,7) = EQ \F((,28) 22Boys = EQ \F(3,8) , girls =

9Simplest the fraction of

EQ \F(6,10) =23Walking = EQ \F(2,9) , by car = EQ \F(4,9) , the rest =

10Convert EQ \F(7,6) = mixed number24 EQ \F(1,3) of 24 cars = proton

11Convert 1 EQ \F(3,7) into improper fraction

25The rest is Honda

12Circle the improper fraction EQ \F(1,2) , EQ \F(3,4) , EQ \F(7,6) ,26 EQ \F(1,6) of 42 bus = Hino

13Circle the smallest value 3 EQ \F(1,5) , 3 EQ \F(1,6) , 3 EQ \F(1,7)27The rest is Volvo

14Circle fraction can be simpilfy

EQ \F(7,9) , EQ \F(13,18) , EQ \F(15,16) , EQ \F(15,21) 2817 of bus Volvo is yellow and the rest is red .

3.1 Addition of three mixed numbers : (same denominator)NoQuestionAnswer

Ex

2 EQ \F(3,4) + 2 EQ \F(3,4) + 1 EQ \F(1,4) 5 + EQ \F(7,4) = 5 + 1 EQ \F(3,4) 6 EQ \F(3,4)

1

5 EQ \F(7,8) + 4 EQ \F(3,8) + 1 EQ \F(3,8)

22 EQ \F(2,3) + 2 EQ \F(2,3) + 1 EQ \F(1,3)

33 EQ \F(2,5) + 1 EQ \F(4,5) + 2 EQ \F(1,5)

44 EQ \F(3,7) + 6 EQ \F(5,7) + 1 EQ \F(2,7)

55 EQ \F(4,9) + 4 EQ \F(8,9) + 1 EQ \F(7,9)

3.2 Addition of three mixed numbers : (different denominators)

NoQuestionAnswer

Ex

2 EQ \F(1,2) + 2 EQ \F(1,3) + 1 EQ \F(5,6) 5 + ( EQ \F(13,23) + EQ \F(12,32) + EQ \F(5,6) ) = 5 EQ \F(10,6) 6 EQ \F(4,6) = 6 EQ \F(2,3)

1

5 EQ \F(1,2) + 4 EQ \F(3,4) + 1 EQ \F(3,8)

2

2 EQ \F(2,3) + 2 EQ \F(1,6) + 1 EQ \F(4,9)

3

3 EQ \F(1,2) + 1 EQ \F(4,5) + 2 EQ \F(7,10)

4

4 EQ \F(1,3) + 6 EQ \F(5,6) + 1 EQ \F(5,9)

3.3Subraction involving three mixed numbers : same denominatorNoQuestionsAnswer

Ex.

3 EQ \F(4,5) 1 EQ \F(1,5) 1 EQ \F(1,5) 1 ( EQ \F(4,5) EQ \F(1,5) EQ \F(1,5) )1 EQ \F(2,5)

13 EQ \F(3,4) 1 EQ \F(1,4) 1 EQ \F(1,4)

24 EQ \F(4,5) 1 EQ \F(2,5) 1 EQ \F(1,5)

34 EQ \F(5,6) 1 EQ \F(1,6) 1 EQ \F(1,6)

46 EQ \F(6,7) 2 EQ \F(4,7) 1 EQ \F(1,7)

55 EQ \F(7,8) 3 EQ \F(1,8) 1 EQ \F(3,8)

3.4Subraction involving three mixed numbers : different denominatorNoQuestion Answer

Ex

4 EQ \F(3,4) 2 EQ \F(1,2) 1 EQ \F(1,8) 1 ( EQ \F(32,42) EQ \F(14,24) EQ \F(1,8) )

1 EQ \F(1,8)

1

2 EQ \F(1,2) EQ \F(3,4) 1 EQ \F(2,3)

2

3 EQ \F(1,3) 1 EQ \F(1,2) 1 EQ \F(2,3)

3

4 EQ \F(1,4) 2 EQ \F(3,8) 1 EQ \F(1,2)

4

5 EQ \F(2,3) 3 EQ \F(7,9) 1 EQ \F(2,3)

5

6 EQ \F(1,2) 1 EQ \F(7,8) 1 EQ \F(1,4)

3.5 Multiply mixed numbers with a whole number

Ex. 1 EQ \F(2,3) of 4812 is

= EQ \F(5,3) 4812 = 5 1604 = 8 020

1. 2 EQ \F(3,4) of 648 is3. 2 EQ \F(5,8) of 4816 is

3. 1 EQ \F(3,5) of 3600 is

4. 2 EQ \F(1,6) of 3144 is5. 2 EQ \F(2,7) of 2359 is

6. 1 EQ \F(2,9) of 4851 is

7. 2 EQ \F(7,8) of 1344 is8. 3 EQ \F(2,5) of 1040 is

3.6 Multiply fractions with a fraction

No

Question Answer

Ex EQ \F(3,4) EQ \F(8,9) EQ \F(8,9) = EQ \F(2,3) EQ \F(2,3)

1 EQ \F(1,3) EQ \F(3,4)

2 EQ \F(1,4) EQ \F(2,5)

3 EQ \F(2,3) EQ \F(1,2)

4 EQ \F(1,2) EQ \F(2,5)

5 EQ \F(2,5) EQ \F(1,6)

6 EQ \F(3,4) EQ \F(2,7)

3.7 Multiply mixed number with a fraction

No

Question Answer

Ex 1 EQ \F(3,4) EQ \F(4,5) EQ \F(7,4) EQ \F(4,5) = EQ \F(7,5)

EQ \F(7,5) = 1 EQ \F(2,5)

1 1 EQ \F(1,2) EQ \F(2,3)

2 2 EQ \F(1,3) EQ \F(3,4)

32 EQ \F(1,4) EQ \F(2,5)

43 EQ \F(2,3) EQ \F(1,2)

52 EQ \F(1,2) EQ \F(2,5)

61 EQ \F(2,5) EQ \F(1,6)

72 EQ \F(3,4) EQ \F(2,7)

3.8 Divide fractions with a whole number

NoQuestion Answer

Ex EQ \F(3,4) 2 EQ \F(3,4) EQ \F(1,2)

EQ \F(3,8)

1 EQ \F(1,2) 3

2 EQ \F(1,3) 4

3 EQ \F(1,4) 2

4 EQ \F(2,3) 3

5 EQ \F(1,2) 5

6 EQ \F(2,5) 6

7 EQ \F(3,4) 7

3.9 Divide fractions with a fraction

No

Question Answer

Ex EQ \F(3,4) EQ \F(1,2) EQ \F(3,4) EQ \F(2,1) = EQ \F(6,4)

EQ \F(3,2) = 1 EQ \F(1,2)

1 EQ \F(1,2) EQ \F(2,3)

2 EQ \F(1,3) EQ \F(3,4)

3 EQ \F(1,4) EQ \F(2,5)

4 EQ \F(2,3) EQ \F(1,2)

5 EQ \F(1,2) EQ \F(2,5)

6 EQ \F(2,5) EQ \F(1,6)

7 EQ \F(3,4) EQ \F(2,7)

3.10 Divide mixed numbers with a whole number

NoQuestion Answer

Ex 1 EQ \F(3,4) 2 EQ \F(7,4) EQ \F(1,2)

EQ \F(7,8)

1 2 EQ \F(1,2) 3

2 3 EQ \F(1,3) 4

34 EQ \F(1,4) 2

41 EQ \F(2,3) 3

53 EQ \F(1,2) 5

62 EQ \F(2,5) 6

74 EQ \F(3,4) 7

3.11 Divide mixed number with a fraction

NoQuestion Answer

Ex 1 EQ \F(3,4) EQ \F(1,2) EQ \F(7,4) EQ \F(2,1) = EQ \F(14,4)

EQ \F(7,2) = 3 EQ \F(1,2)

1 1 EQ \F(1,2) EQ \F(2,3)

2 2 EQ \F(1,3) EQ \F(3,4)

32 EQ \F(1,4) EQ \F(2,5)

43 EQ \F(2,3) EQ \F(1,2)

52 EQ \F(1,2) EQ \F(2,5)

61 EQ \F(2,5) EQ \F(1,6)

72 EQ \F(3,4) EQ \F(2,7)

3.12Problem solving : Ex. Yap has 50 marbles . EQ \F(2,5) of them are yellows . 16 blacks and other are blues. How many blue marbles ?Rest of EQ \F(2,5) is EQ \F(3,5) = EQ \F(3,5) 50

= 30 - 16

Blues marble = 14

1. A box contains 360 beads . EQ \F(1,3) of them are blue. EQ \F(2,5) of them are greens and the rest are yellow. How many yellow beads ?

2. Rajahram has RM90. He uses EQ \F(2,5) of the money to buy books. He buys 4 pens with the balances. How much a pen cost ?

3. Garden P have 36 palms and 48 coconuts . EQ \F(3,4) of palms and EQ \F(2,3) of coconut is shorter and the rest are taller. What is the total palms and coconut are taller..

4. Table 1 shows the number of biscuits P and P had bought by Yam. BiscuitsNumber of biscuitsP

80

Q

90

TABLE 1 EQ \F(3,4) of biscuit P and EQ \F(4,5) of biscuits Q had been keep. Her 4 children eat the balance. How many biscuits does each children eat ?

5. Table 2 the number of cows and goats in a farm.Animal Number of animals Cow240

Goat480

TABLE 2 EQ \F(1,3) of cows and EQ \F(1,6) of goat are male. What is the total female of cows and goats ?

6. A diagram below shows a number of sweets in a container.

Timah buys 3 containers sweets. EQ \F(3,4) of them she kept and the rest she gives to Minah. How many sweets does Mamat gets ?

7. A diagram shows a number of cans lychee in a box. Chong buys 30 boxes of lychee. EQ \F(1,8) of them are broken and the rest he kept. How many of cans lychee does he kept ?

8. A diagram below shows a volume of water in three container.

EQ \F(1,4) of the total of the volume of water had been taken by Farah. How much volume of water, in ml, had been taken by Farah?

9. A diagram below shows a start and the end time of one games.

Start End EQ \F(1,6) of the time is a recess time. How long is the recess time

10. Bar chart below shows a numbers of car sold by Tom .

EQ \F(1,6) of car bought by the women and the rest bought by the men. How many car bought by the men ?11. Pictograph below shows a number of computer sold by Aqib in four monthsJanuary( ( (Mac

( (June( ( ( ( (September

( ( ( ( ( ( ( ( represent 30 computers A number of computer sold in November is EQ \F(2,3) of the total four months sales. How many computer had been sold in November ?

4.0 DECIMAL

REVISION : QUIZ MATHEMATIC OF DECIMAL 1. Write five point zero one three in numeral

136 EQ \F(7,1000) =

2. Write 2.097 in word14 109

+ 678

3. Digit value for 4 at 0.942 is15 101

- 7 28

4. Partition of 3.702 =

16063 7 =

5. Circle the smallest value

4.05 , 4.5 , 4.55 , 4.055 , 4.505

17 10 4

x 8

6. Tick ( ) or (x)

2.765 is more than 2.57

18The total of 8.2 and 7 is

7. Tick ( ) or (x)

5.705 is less than 5.7

19The sums 8.2 , 7 and 0.3 is

8. 1.34 x 10 =

20Different between 1.7 with 0.9 is

9. 1.34 x 100 =

21Take away 9.3 from 17.5 is

10. 1.34 x 1000 =

22The product of 8.1 times 4 is

11. 6 EQ \F(7,10) =23Multiply 3.2 with 6 =

12. 6 EQ \F(7,100) =2430.6 divided by 6 =

4.1 MIXED OPERATION : (+ and - ) Decimal only

Ex 23.45 17.634 + 45.2 =

Solve from left

23 . 450

- 17 . 634 5 . 816 + 45 . 000 50 . 816

1. 76.2 34.76 + 23.876 =

2. 76.5 + 123.987 189.72 =

3. 36.67 7.89 + 18.9 =

4. 55.4 34.987 + 12.88 =

5. 44.9 + 57.9 99.023 =

6. 67.4 + 34.78 24.009 =

7. 74.9 33.276 + 41.624 =

4.2 MIXED OPERATION : (+ and - ) Decimal and whole number

Ex 23 17.634 + 45.2 =

Solve from left

23 . 450

- 17 . 634 5 . 816

+ 45 . 000

50 . 816

1. 76 34.76 + 23.876 =

2. 76.5 + 123 189.72 =

3. 36 7.89 + 18.945 =

4. 55.4 34.987 + 12 =

5. 44 + 57.9 99.023 =

6. 67.4 + 34 24.009 =

7. 74 33.276 + 41.624 =

5.0 PERCENTAGE

REVISION : BASIC QUIZ OF PERCENTAGE

1. Change 5 % to decimal ?

10State the percentage of shaded region

2. Change 60% to decimal ?


3. Change 0.75 to percentage?


4. Change 0.3 to percentage


5. State EQ \F(1,2) into percentage14State the percentage of shaded region

6. State EQ \F(1,4) into percentage15State the percentage of numeral 4

7. State EQ \F(1,5) into percentage 16State the percentage of alphabet Aand N

8. State EQ \F(1,10) into percentage 17State the percentage of 3 girls from 5 pupils

9

Girls = 30% , boys = %

18Pass = 75% , Fail = %

5.1 REVISION : Convert fraction to percentage ( Denominator have the pair of 100: 2,4,5,10,20,25,50)No

QuestionAnswerNoQuestionAnswer

Ex 1 EQ \F(1,2) EQ \F(1x50,2x50) = EQ \F(50,100) =50 %

Ex 2 EQ \F(2,25) EQ \F(2x4,25x4) = EQ \F(8,100) = 8%

1 EQ \F(1,4)

7 EQ \F(3,10)

2 EQ \F(3,4)

8 EQ \F(7,10)

3 EQ \F(1,5)

9 EQ \F(7,20)

4 EQ \F(2,5)

10 EQ \F(13,20)

5 EQ \F(3,5)

11 EQ \F(8,25)

6 EQ \F(4,5)

12 EQ \F(24,25)

5.2 Convert mixed numbers to percentage

( Denominator have the pair of 100: 2,4,5,10,20,25,50)

No


Ex11 EQ \F(1,2) EQ \F(3x50,2x50) = EQ \F(150,100) =150 %

Ex 21 EQ \F(2,25) EQ \F(27x4,25x4) = EQ \F(108,100) = 108%

11 EQ \F(1,4) 71 EQ \F(3,10)

22 EQ \F(3,4) 82 EQ \F(7,10)

33 EQ \F(1,5) 93 EQ \F(7,20)

44 EQ \F(2,5) 104 EQ \F(13,20)

53 EQ \F(3,5) 115 EQ \F(8,25)

61 EQ \F(4,5) 124 EQ \F(24,25)

5.3Convert decimal numbers of value more than 1 to percentageNo


Ex11.2 EQ \F(120,100) = 120 %Ex 21.36 EQ \F(136,100) = 136%

14.594.52

21.7101.75

32.3112.34

43.9123.99

54.1134.17

65.5145.52

78.1158.15

89.3169.33

5.3Percentage of a quantity ( The number of zero more than 1)

NoQuestionsAnswers

Ex3% of 600 EQ \F(3,100) x 600 = 3 x 6 = 18

14% of 3000

2

8 % of 700

319% of 2000

4

240% of 300

5

170% of 4000

6

310% of 30

5.4Percentage of a quantity :(The number of zero is 1 or nothing )

NoQuestionAnswer

Ex

3% of 60 is EQ \F(3,100) 60 = EQ \F(18,10) = 1.8

1

4% of 30 is

2

8 % of 70 is

3

15% of 840 is

4

36% of 440 is

5

12% of 25 is

6

25% of 3 is

7

735% of 4 is

8

415% of 66 is

5.5 Problem solving : Percentage Question Solution

Ex . 30% of 60 people wear a red shirt and the rest

wear a blue shirt. How many of people wear a blue shirt. The rest of 30% = 70%Blue shirt = 70% 60 = 42

1. 40% of 50 pupils get A in Mathematic and the rest Get B. How many pupils get B in Mathematics.

2. 65% of 300 bird are pigeon and the rest are mynah . How many bird are mynah ?

3. 85% of 200 chicken laid eggs. How many chicken did not lay egg ?

4. 75% of 800 pupils came from Kampung Q and the rest from Kampung R. How many pupils from Kampung R?

5. 90% of 120 pupils pass Mathematic and the rest are

fail. How many pupils fail ?

6. 30% of 6.5 l water had been used. How much water, in ml, do not been used?

7. 60% of 4.5 kg sugar had been used to make cake , 30 % to make dougnuts and the rest had been kept. What is the weight, in g, sugar had been kePt ?

8. 65% of 300 km road completed in January , 30% completed in February and the rest completed in March. How long , in km, is the road completed in March?

9. Diagram below show the depature and arrival time a train from a destination.

departure Arrival 20% of the times take by the train to stop at RR. How long is the train stop at RR ?

6.0 MONEY

REVISION : BASIC QUIS OF MONEY 1. RM206.45 write in word

10 RM 12 35

X 7

2. Write twenty ringgit and sixty sen

In numeral

11 RM63 9 =

3. RM12.95 to the nearest ringgit =

12Different between RM14 with RM8 is

4. 50 sen = RM

13The total of RM60 and RM50 is

5. RM3.65 = ____________sen

14One box RM30

7 boxes = __________

6. RM2 - 15 sen =

159 boxes RM360 ,

1 boxes = _________

7. RM1095

+ RM 745

16Take away RM80 from RM140 is

8. RM 1510

- RM 345

17The product of RM70 times 3 is

9

Calculate the total of money.

18Calculate the total of money .

6.1 Mixed operation : without bracket Ex RM2 465.50 RM1 719.90 + RM8 764.85 =

Do the operation from begining RM 2 465 . 50 - RM 1 719 . 90 RM 745 .60 + RM 8 764 .85 RM 9 510 .45

1. RM10 000 RM8 969.90 + RM28 765.75 =

2. RM140.85 + RM2500 RM1 969.30 =

3. RM700 RM123.80 + RM 1 799.30 =

4. RM3 140.85 + RM5500 RM6 767.70 =

6.2 Mixed operation : involving bracket

Ex. ( RM24.50 6 ) RM119.90 =

Do the operation in bracket first RM24.50 6 = RM 147.00

RM 119 .90 -

RM 27 .10

1. RM300.00 + ( RM37.40 8 ) =

2. ( RM100 RM89.90) 12 =

3 (RM476.60 + RM1 230.40) 6 =

4. RM140.85 + ( RM2500 4 ) =

5. (RM345.75 + RM65.85) 7 =

6. RM700.00 ( RM123.80 5 ) =

7. RM54.90 (RM28.50 + RM17.70)=

6.3Bill6.3.1Fendi has RM50 . He bought an items show in bill below . Complete the bill and calculate the balance .ExampleQuantityItemPrice per unitPrice4

Pen

RM2.80

11.40

6

Eraser60 sen

3.60

2

Fail

RM5.50

11.00

Total

26.00

Balance of money.

50 . 00

26 . 00 24 . 00

1.

QuantityItemPrice per unitPrice7 kg

Watermelon90 sen

4 kg

Duku

RM5

2 kg

OrangesRM8

Total

2

QuantityItemPrice per unitPrice4

ShuttleRM1.50

1

Rachet

RM32.00

2 pairshocksRM4.50

Total

3.

QuantityItemPrice per unit Price3 kg

OnionRM3

2 kg

PotatoRM2.50

3 packetBreadRM1.80

Total

6.3.2 The total of the bill is RM50 . Complete the bill .

Example

QuantityItemPrice per unitPrice1 boxPencil

RM12.00

Pen

RM7

20

Books50 sen

Total

Price of item given RM12 + RM10 = RM22

Difference price = RM50 - RM22

= RM28

Quantity of pen = 28 7

= 4 pens

1.

Quantity

Item

Price per unit

Price

Tembikai

RM2

3 kg

Durian

RM10

1 kg

pears

RM8

Total

2

Quantity

Item

Price per unit

Price

RosesRM4

5

MelorRM2

8

Lily

RM3

Total

3.

Quantity

Item

Price per unit

Price

4

Chocolate5

Muffin

RM1.20

2

CheeseRM12

total

6.4 Cost price , profit and selling price.6.4.1 Completed the table below . Involving for 1 items only.NoCost priceProfit Selling price

Ex 1 RM23.50RM4.50 RM23 . 50

RM 4 . 50 +

RM28 . 00

Ex 2 RM1450 .00

RM 120 .00 -

RM1330 .00RM120.00RM1450.00

Ex 3RM899.00 RM1000 . 00

RM 899 . 00 -

RM 101 . 00RM1000.00

1RM1050.00RM1370.00

2RM65.00RM560.00

3RM1750.00RM350.00

4RM2500.00RM3200.00

5RM70.00RM440.00

6RM5600.00RM560.00

7RM230.00RM45.00

8RM550.00RM2300.00

9RM2990.00RM3700.00

6.4.2 Problem solving : involving cost price , profit and sell priceEx. : Remy bought 2000 eggs with cost RM200. 10% of them are broken. He sold all the good eggs with cost 20 sen per egg. How much profit he receieved ?

Cost price = RM180

Quantity of good eggs = 90 % 2000

Sell price = 1800 20 sen = RM360.00

Profit = RM 360 RM200

= RM 160

1. Zul buys 70 boxes of milk with RM245. He sold all the the milk and get RM49 profit. How much is a box of milk cost ? ?

2. Badri buys 200 mangoes with cost RM140. He sells 150 mangoes with cost RM1.20 per each. The rest he sells 80 sen per each .

How much profit he will received ?

3, Tini sells 15 pair of shoes with a same brand costs RM1125.00 . She gets RM20 profits for a pair. How much is the cost price for each pair of shoes?

4. Sham buys 12 pens with costs RM84.00 . He sells all the pen and get RM2.50 profit for each pen. How much ia the price sell for one pen ?

5. Fetty sells 20 handbags with a same brand cost RM60 each. She gets RM240.00 profit for selling all the handbags . How much is the price costs for one handbag?

6.5 Problem solving : uniter in moneyExample

How much is the price of 2 books ?

Find the price for each books : = RM4.50 3 = RM1.50

Price of 2 books = RM1.50 2

= RM3.00

1.

How much is price of 3 pencils ?

2.

How much is the price of 4 disketts ?

3. The price of 2 similar boxes of lychees is RM2.60 . How much is the price of 7 similar boxes of lychess ?

4. The price of 4 similar of pen is RM9. How much is the price of 5 similar of pens ?

5. The price of 20 similar size of oranges is RM5 . How much is the price of 8 similar size of oranges ?

6.6 Problem solving : Percentage in money Ex : A diagram show a sell price of a computer

Sham buys a computer and get 20% discount . He pays RM2000. How much is his balance?

% need to pays = 100 % 20 % = 80 %

Pays of money = 80% 2400 = RM1920

Balance of money = RM2000 RM1920

= RM80.00

1. A diagram below shows a sell price of a television

Dali buys a television and get 15% discount. He pays RM1300. How much is his balance ?

2. Laily gets 20% discount from RM350.00 the jewellery she bought. How much should she pay for the jewellery ?

3. The cost price of a bicycle is RM600 . The bicycle had been sold with RM750. What is the percentage of profit compare the cost price ?

4. A bicycle costs RM760.00. Lim sells the bicycle and get 35% profit for every bicycle he sells. Calculate the sell price of 3 bicycles ?

5. Table below shows the number of Mamats money .

MoneyRM50

RM10

RM5

50sen

Number5

7

16

40

40% of the total of money he buys a printer . How much is the printer cost?

7.0 TIME

REVISION : BASIC QUIZ OF TIME1. 1 year = months14

1 days = hours

2. 3 year = months15 EQ \F(1,4) days = hours

3. EQ \F(3,4) years = months161 decade = years

4. 1 week = days17

3 decade = years

5. 2 week 5 days = days18 EQ \F(3,5) decade = years

6. 1 hour = minutes19

1 century = years

7. EQ \F(1,4) hours = minutes202 century = years

8. 2 hours = minutes21

1 millenium = years

9. EQ \F(2,5) hours = minutes223 millenium = years

10. __________a.m.

23 _____________p.m.

11.

24

12.

25

13.

26

7.1 Time Duration : Complete the table belowNoStartTime durationReach

Ex 13 June 083 months

Ex 24 July 084 January 09

Ex 35 months 7 July 08

1 8 January 089 months

24 months 12 June 08

316 February 0916 August 09

421 October 098 months

511 months23 May 2010

629 April 0929 November 09

7.2 Start , time duration and end some activity : Complete the table belowNoStart of activityTime durationEnd of activity

Ex 12 June 083 months 12 days

Ex 23 July 0816 January 09

Ex 35 months 20 days4 July 08

121 January 089 months 8 days

24 months 5 days 8 Jun 08

324 February 0912 August 09

412 October 098 months 25 days

511 months 10 days20 May 2010

7.3Problem solving : TimeExample The diagram blow the time a bus departure from Pekan X.

a.m.The bus arrived at Pekan Y 8 hours 45 minutes later . At what time , the bus arrived at Pekan Y ?

Operation : arrived +

11 40

+ 8 45

20 25 hoursOr 8.25 p.m.

1. Majid goes to Kuala Lumpur by bus at

15 55 hours and reach 3 EQ \F(1,4) hours later. Draw the hour hand and minutes hands to show Majid reach Kuala Lumpur

2 Table below show the time duration of four film.

Film

Time durationP

2 hours 15 minutesQ

1 hour 50 minutesR

3 hours 02 minutesS

2 hours 45 minutes Calculate the average of each film.

3. The diagram shows the time Azmi reached from Kangar.

p.m.Azmi left his house at 8.50 a.m. How long the journey take ?

4. Diagram below shows the arrival time for a bus at the station

p.m

The bus takes 7 hours 50 minutes on the journey.

At what time did the bus leave the station.

5. Table below shows the ages of four pupils.PupilsAgesFarid

8 years 7 monthsDavied

11 years

Chong

14 years 3 monthsKrishnan

10 years 10 months Calculate the average age of each

pupils ?

6. The diagram below shows the depature and arrival time for a bus

Departure Arrival EQ \F(1,5) of the journey corss the X state. How long does the bus take to cross the X state ?

7. The diagram below shows the times taken by Saiful to cross several town.

Saiful start at P at 13 25 hours. At what time did he reach at T ?

8.0 MASS

REVISION : BASIC QUIZ OF MASS11 kg = g10700 g = kg

22 kg = g113400 g = kg

32.3 kg = g12700g + 1.4 kg = kg

42kg 40 g = g 132.3 kg 500 g = g

52 EQ \F(1,2) kg = g142.3 kg 3 = g

60.6 kg = g152.3 kg 2 = g

716

8

17

9

18

8.1 Basic operation : Involving fraction/ mixed number of mass and

unequal unit . State the answers in g .

Example

4.5 kg + 980 g =

4 500 g

+ 900 g 5 400 g

1. 1 EQ \F(1,2) kg + 780 g =2. 2650 g + EQ \F(3,4) kg =

3. 2.25 kg EQ \F(3,5) kg =

4. 1 EQ \F(2,5) kg 0.28 kg =5. 1.18 kg EQ \F(1,2) kg =

6. 2 EQ \F(1,4) kg 2 =

7. 2 EQ \F(3,5) kg 2 =8. 2 EQ \F(1,2) kg 3 =

9. 2 EQ \F(1,10) kg 3 =

10. 3 EQ \F(7,10) kg 2 =

11. 2 EQ \F(3,5) kg 4 =

8.2 Multiply fraction with a mass ( has convertion unit ) . Answer in g.Ex. EQ \F(2,3) 4.5 kg

Convert the unit 4.5 g = 4500 g = EQ \F(2,3) 4500 g = 2 1500 g = 3000 g

1. EQ \F(3,4) 3.6 kg = 3. EQ \F(5,8) 4.8 kg =

3. EQ \F(3,5) 3.6 kg =

4. EQ \F(1,6) 2.16 kg 5. EQ \F(2,7) 2.1 kg=

6. EQ \F(2,9) 4.5 kg =

7. EQ \F(7,8) 2.4 kg =8. EQ \F(2,5) 1.04 kg =

8.3Multiply fraction / mixed number with a mass ( using term of ) . Answer in g.Con. EQ \F(2,5) of 4.5 kg

Convertion of units 4.5 kg = 4500 g

Change of to

= EQ \F(2,5) 4500 g = 2 900 g = 1800 g

1. EQ \F(1,4) of 6.7 kg = 3. EQ \F(7,8) of 4.8 kg =

3. EQ \F(2,3) of 3.6 kg =

4. EQ \F(5,6) of 2.16kg =5. EQ \F(3,7) of 2.1 kg

6. 2 EQ \F(4,9) of 4.5 kg=

7. 1 EQ \F(7,8) of 2.4 kg =8. 3 EQ \F(2,5) of 1.04 kg =

8.4 Problem solving : Mass ExampleDiagram 1 shows a weight for several stone .DIAGRAM 1Calculate the total mass, in g, the stones ?

1.3 kg = 1300 g , 1 EQ \F(3,4) kg = 1750 gThe total mass = 1 300 950 1 750 + 4 000

1. The mass for a basket with 2 ducks is 6 kg. The mass of basket is 550g. The ducks have the same mass . What is the mass , in g, every duck ?

2. Diagram 2 shows a mass a box and a ball .

DIAGRAM 2

The ball mass is 650 g. What is the mass , in g, a box?

3. Table 1 shows a mass for three pupilsPupils Mass (kg)

Ah Meng

45 kg

Budi

4600g more than Ah Mengs massChitra

40% of Ah Meng,s mass TABLE 1

Calculate the total mass , in kg, all the pupils ?

9.0 VOLUME OF LIQUID

REVISION : BASIC QUIZ OF VOLUME OF LIQUID

1

1 l = ml9800 ml = l

2

3 l = ml104800 ml = l

3

3.4 l = ml 11800 ml + 3.4 l = l

4

3 l 700 ml = ml 123.4 l 500 ml = ml

5

EQ \F(1,4) l = ml133.4 l 3 = ml

6

0.6 l = ml143.4 l 2 = ml

7

15

816

9.1 Multiply fraction/ mixed number with volume of liquid ( has a convertion unit )

Ex. EQ \F(2,3) 2.4 l =Convert the units 2.4 l = 2400 ml

= EQ \F(2,3) 2400 ml

= 2 800 ml

= 1600 ml

1. EQ \F(3,4) 6.4 l =3. EQ \F(5,8) 0.48 l =

3. EQ \F(3,5) 3.62 l =

4. EQ \F(1,6) 4.14 l = 5. EQ \F(2,7) 2.8 l =

6. 1 EQ \F(2,9) 1.8 l =

7. 1 EQ \F(7,8) 2.4 l = 8. 3 EQ \F(2,5) 3.5 l =

9.2 Multiply fraction / mixed number volume of liquid( using term of )

Con. EQ \F(2,9) of 4.5 l

Convert the unit 4.5 l = 4500 ml

Change of to

= EQ \F(2,9) 4500 ml

= 2 500 ml

= 1000 ml

1. EQ \F(1,4) of 2.4 l = 3. EQ \F(3,8) of 4.8 l =

3. EQ \F(2,5) of 3.6 l =

4. EQ \F(5,6) of 2.16 l= 5. EQ \F(4,7) of 2.1 l =

6. 3 EQ \F(1,9) of 1.8 l =

7. 1 EQ \F(5,8) of 0.32 l =8. 2 EQ \F(3,5) of 3 l =

9.3Problem solving : Volume of liquid 1. Diagram 1 shows the volume of water in three container

DIAGRAM 1Calculate the average of volume , in ml, of water in each containter ?

2. 1.3 l water had been poured into P and Q containers. Volume of water in P container is 250 ml less than the volumer of water in Q container . Calculater the volume of water , in ml, Q container ?

3. Diagram 2 shows the volume of water in a container

DIAGRAM 2 Fadli takes 770 ml water. His brother takes 120 ml water . What is the volume of water, in ml, had been left ?

4. Table 1 shows the volume of water in three container.Container Volume of waterP

2.3 l

Q

800 ml less than the volume of water in P container R

EQ \F(1,5) of the total of volume in P and Q container TABLE 1Calculate the volumer of water , in ml, R container ?

10.0 LENGTH

REVISION : BASIC QUIZ OF LENGTH

11 km = m

91 cm = mm

24 km = m

101.6 cm = mm

34.2 km = m 11800 m= km

44 km 600 m = m124800 m = km

54 EQ \F(3,4) km = m13350 cm = m

60.6 km = m

14800 m + 4.2 km = m

71 m = cm

154.2 km 700 m = m

80.6 m = cm

164.2 km 3 = m

92 EQ \F(1,2) m = cm174.2 km 2 = m

7What is length of stick , in cm ?

8Draw the length of wool = 11.6 cm

9

What is the length of wood , in m ?

10Draw the length of wood = 5.8 m

10.1 Multiply fraction / mixed number with length ( has a convertion unit ( km ( m) ) . Answer in m .Ex. EQ \F(2,7) 4.2 km =Convert the unit

4.2 km = 4200 m

= EQ \F(2,7) 4200 m

= 2 600 m

= 1200 m

1. EQ \F(3,4) 4.4 km =3. EQ \F(5,8) 5.6 km =

3. EQ \F(3,5) 1.7 km =

4. EQ \F(1,6) 1.56 km =5. EQ \F(3,7) 3.5 km =

6. 1 EQ \F(4,7) 0.7 km =

7. 3 EQ \F(3,8) 1.6 km =8. 4 EQ \F(4,5) 0.2 km =

10.2 Multiply fraction / mixed number with length . Answer in m.( using term of : km ( m )

Ex. EQ \F(2,3) of 0.9 km

Convert the unit 0.9 km = 900 m

Change of to = EQ \F(2,3) 900 m

= 2 300 m

= 600 m

1. EQ \F(3,4) of 1.2 km =3. EQ \F(5,8) of 2.4 km =

3. EQ \F(3,5) of 2.2 km

4. EQ \F(1,6) of 3.06 km 5. 1 EQ \F(2,7) of 1.4 km

6. 1 EQ \F(2,9) of 0.45 km

7. 3 EQ \F(7,8) of 0.24 km 8. 2 EQ \F(2,5) of 1.4 km

10.3 Multiply fraction / mixed number with length . Answer in cm.( has a convertion unit : m ( cm )

Ex. EQ \F(2,3) 4.5 m =

Convert the unit 4.5 m = 450 cm

= EQ \F(2,3) 450 cm

= 2 150 cm

= 300 cm

1. EQ \F(3,4) 1.8 m =3. EQ \F(5,8) 0.8 m =

3. EQ \F(4,5) 0.75 m =

4. EQ \F(1,6) 5.22 m =5. 2 EQ \F(3,7) 1.4 m =

6. 1 EQ \F(2,9) 0.45 m =

7. 2 EQ \F(7,8) 4 m =8. 3 EQ \F(2,5) 1.05 m =

10.4 Multiply fraction / mixed number with length . Answer in cm.( using term of : m ( cm )

Ex. EQ \F(3,5) of 4.5 m

Convert the unit 4.5 m = 450 cm

Change of to

= EQ \F(3,5) 450 cm

= 3 90 cm

= 270 cm

1. EQ \F(3,4) of 0.4 m =3. EQ \F(5,8) of 4.8 m =

3. EQ \F(3,5) of 9.5 m

4. EQ \F(1,6) of 7.2 m 5. 3 EQ \F(2,7) of 0.21 m

6. 3 EQ \F(2,9) of 14.4 m

7. 2 EQ \F(7,8) of 6.4 m 8. 1 EQ \F(2,5) of 2.5 m

10.5

Problem solving 1. Diagram 3 shows the length of three host.

1.3 km 890 m 340 m

DIAGRAM 3

Calculate the total length , in m, all the host ?

2. Diagram 2 shows the distance from P to Q DIAGRAM 2 T Town located EQ \F(1,3) of the distance P to Q . Calculate the distance, in km, from T to Q ?

3. Diagram 5 shows a sign board where Jais stop at the junction.

RAJAH 5

Jaiss house located 12.5 km before Tg Malim. How far , in km, Jaiss house to Slim River ?

4 . Table 1 shows the height of four pupils.PupilsHeight

Parid

1.5 m

Quincy

160 cm

Rais

12 cm more than the height of Quincy

Salmiah

4 cm less than the height of Parid

TABLE 1Calculate the average height, in cm, every pupils ?

11.0 PERIMETER

BASIC QUIZ : PERIMETER No

Question : Find the perimeter , in cm , whole diagram.

1

2

3

4

5

11.1 Revision : Calculate the perimeter, in cm, whole diagram ?Ex.

The number of outsides edges = 10Perimeter = 10 4 = 40 cm

1.

2.

3.

4.

5.

11.2 Revision : Calculate the perimeter, in cm, shaded region.Example

The number of outside edges = 6Perimeter of the shaded part = 6 4 = 24 cm

1.

2.

3.

4.

5.

11.3Revision : Calculate perimeter, in cm, whole diagramEx. : Q is a square.

Complete the number all the outside edges Perimeter = 5 + 5 + 5 + 5 + 9 + 9 = 38 cm

1. Q is a square.

2 A diagram below consists three similar rectangle.

.

3 A diagram below consists three similar rectangle.

4. Q is a square

5.

11.4 Perimeter of composite shape : Calculate perimeter, in cm,whole diagram

Ex.

P is a square. Q and R are the similar right trianglesComplete the number all the outsides edges.Perimeter = 22 + 10 + 6 + 10 = 48 cm

1. P is a rectangle . Q and R are the similar right triangle .

2.

P is a rectangle . Q and R are the right triangle .

3.

P is a rectangle . Q ,R and S are the similar right triangle .

11.5 Perimeter of composite shape : Calculate perimeter, in cm, shaded region

Ex.

P is a square. Q and R are similar right trianglesComplete the number all the outsides edges.

Perimeter = 7 + 7 + 5 + 4 + 4 + 5 + 3 + 3 = 38 cm

1.

P is a rectangle . Q and R are similar right triangles .

2.

P is a rectangle. Q is right triangle. W, X and Y are the similar right triangles.

3.

11.AREABASIC QUIZ : AREA No

Question : Find the area , in cm , whole diagram.

1

2

3

4

5

11.6 Area of right triangle NoLength (cm)Breadth (cm)Area of right triangle

Ex848 4 216

196

2108

34.47

48.612

576.6

11.7 Area of isosceles trianglesNoBased (cm)Height (cm)Area of isosceles triangles

Ex93.48 3.4 215.3

198

2107

34.45

48.69

11.8 Area . A diagram contruct by the several similar square. Calculate the area , in unit , shaded region ?

Example .

Area = Based height 2

Area = 7 4 = 28 2 = 14

1.

2.

3.

4.

5.

6.

7.

11.9 Area of compound rectangle or square and triangle : Calculate the area , in cm, whole diagram ?Ex

Q is a squareThe area of Q = 4 4 = 16The area of triangle = 9 4 2 = 18

The area of whole diagram = 16 + 18 = 34

1.

2.

Q is a square

3.

4.

Q is a square

5.

Q is a square

12 VOLUME OF CUBOID AND CUBES

BASIC QUIZ ; VOLUME OF CUBOID AND CUBES

No

Question : Find the volume , in cm , all the diagram.

1

2

3

4

5

12.1 Volume of cuboid or cubes : Calculate the volume. All the cuboid or cubes has height = 6 cm NoLength (cm)Breadth (cm)Area (cm)Volume = Area ( height (cm)

Ex8 cm7 cm5656 6 = 336

19 cm4 cm

210 cm5 cm

33 cm8 cm

44 cm12 cm

55 cm5 cm

66 cm6 cm

78 cm4.2 cm

812 cm9 cm

12.2 Volume of cuboid or cubes :

Calculate the volume. All the cuboid or cubes has breadth= 4 cm

NoLength (cm)Height (cm)Area (cm)Volume = Area ( breadth (cm)

Ex8 cm2 cm1616 4 = 64

19 cm3 cm

210 cm1 cm

33 cm9 cm

44 cm15 cm

57 cm7 cm

64 cm4 cm

76 cm4.5 cm

812.5 cm2 cm

12.3 Composite shape cuboid ( P ) and cubes (Q) . Calculate the volume , in cm, whole diagram.

Ex.

Volume of cube P = 4 4 4 = 64 cm

Volume of cuboid Q = 4 3 8 = 96 cm

The total volume = 64 + 96

= 160 cm

1.

2.

3.

4.

5.

AVERAGE

REVISION : AVERAGE

1

Average of 4 , 8 and 12 is

2

Average of 3 ,5 ,12 and 4 is

3

Average of 4 ,4,3,3 and 8 is

4

Average of 3.1 and 4.9 is

5

Average of 4 , 5.2 and 9.4 is

6Average of 50 sen , RM2.70 and 40 sen is

7Average of 1.3 km , 800 m and 300 m , in m , is

13.1 Find the average of each number.

Ex . 45 , 6.5 and 7.6

Add all the numbers : 45 + 6.5 + 7.6

= 59.1Divide with the numbers = EQ \F(59.1,3) =19.7 Average =19.7

1. 0.5 , 7.6 , 44.5 and 76.48

2. 7.6 , 24.3 and 70.1

3. 46.5 , 7 ,90.4 , 2.3 and 4.55

4. RM5.70 , RM26.50 and RM8.60

5. RM6.50 , RM8.75 , RM20.05 and RM 4.30

13.2 : Calculate the average for any measurement

Ex. Calculate the average , in g , of

1400 g , 1.75 kg and 300 gTotal all the numbers = 1400 + 1750 + 300

= 3450 gAverage of each number = 3450 g 3

= 1150 g

1. Calculate the average , in g,

1.4 kg , 500 g and 800 g

2. Calculate the average , in ml,

450 ml , 720 ml and 1.8 l

3. Calculate the average , in ml,

660 ml, 1 l , 320 ml and 1.3 l

4. Calculate the average , in m,

4km ,2.3 km , 340 m , 560 m

And 300 m

5. Calculate the average , in cm,

4 m ,2.3 m and 12 cm is

13.3Average had given : Find the left value13.3.1All questions have an average is 24 . Find x .

Example 35 , 7 , x , x

The total of four number = 24 4 =96

The total of two number = 35 + 7 = 42

Different = 96

42 -

54 2 ( there are 2 x)

x = 27

1. 20 , 12 , 3 , x

2. 33 , 20 , x , 5 , x

3. 45.6 , 10 , x , 15.4 , x

4. 23 , 8 , 13 , x

5. 2.3 , 27.7 , x , x , x

13.3.2All the question have an average is 75 . Find X.

Example .

PupilsMarkP

96

Q

34

R

X

S

X

The total mark of four pupils = 75 4 = 300

The total mark of two pupils = 96 + 34 = 130

Different = 300 130 = 170

X = 170 2 ( have 2 x) = 85

1

PupilsMarkP

96

Q

34

R

66

S

X

T

X

.

2.

PupilsMark

P

96

Q

43R

66

S

76

T

X

3.

TeamMark

P46

Q56

RX

SX

TX

4..

Subjek

Mark

Bahasa Melayu

86

English 74

MathematicX

ScienceX

5.

Participant Mark

Tony

55Pony

XLily

XKanny

XMary

X

13.4 Problem solving : average in all topicEx The average mass for 5 pupils are 52 kg. The mass of three of them is 45kg, 77 kg and 56 kg respectively. The fourth and fifth pupils have the same mass . Calculate the mass , in kg, the fourth pupils ?

The total mass for five pupils52 5 = 260

Thetotal mass of three pupils45 + 77 + 56 = 178

Different = 260 178 = 122

The fourth weight

=122 2 = 61 kg

1. Table 1 shows the marks Matematic Azmi in four months MonthJanuaryFebruary Mac

April

Mark94

56

76

82TABLE 1

Calcuclate the highest mark with the average mark in four months.

2. Bar chart below the number of pupils passed in four classes.

6A 6B 6C 6D

The average of each class is 38. How many of them failed ?

3. Picto graph below the number of milk sold by four shop .

P Shop( ( ( (Q Shop( ( ( (R Shop( ( ( ( ( (S Shop( ( ( ( ( ( ( ( represent 40 boxes of milk T Shop sells 35 boxes of milk more than the average of milk sell by each shop. How many boxes of milk sells by T Shop?

4. Diagram 1 below show the volume of water in three container. DIAGRAM 1

Find the average , in ml , each container ?

5. Table 2 shows Tinas belanja for five days and the rest had been saving .DayMondayTuesdayWedThursFridayBelanja

70 sen

60 sen

40 sen

RM1.80 RM1

TABLE 2

She receives RM2 perday.

Calculate the average , her saving every day .

6. Diagram 2 below shows the height of four tree

P Q R S 34 m 7.8 m 56.9 m __m

DIAGRAM 2

The average height of each tree are 27 m. What is , the height , in m, P tree ?

7. Diagram 3 shows the mass of four stones.

DIAGRAM 3

Calculate the average of mass , in g, each stone?

8. Table 3 shows the time taken by four vehicles arrived to X

VehiclesTime to X

Bus

4 hour 30 minutesTrain7 hourCar3 hour 20 minutesMotocycle5 hour 50 minutesTABLE 3 Calculate the average of time each vehicles arrived at X ?

14.0DATA HANDLINGChange all the data to the pie chart .

NoQuestions Answer in pie chart :Complete the pie chart

Ex

1

2

3

4

5

6

7

READING INFORMATION FROM PIE CHART.1. Diagram 1 shows a pie chart to shows the number of pupils in SK X. There are 600 pupils in SK X .

DIAGRAM 1a) What is the mode?

b) What is the percentage of Indians.c) What is the range ?d) What is the frequency of Chinese pupils in the SK X?e)Find the total number of Indians pupils and other races in the SK X.2. Diagram 2 the percentages of favourite fruits of 300 pupils


b) What is percentage of mangoes ?c) What is the unfavourite fruits ?d) How many pupils like to eats durians and oranges?e)What is the fraction of the pupils like bananas ?3. Diagram 3 shows a pie chart of the number of spectator at the cultural shows. There are 500 spectators at the cultural shows.


b) What is the percentage of boys ?

c) What is the fration of the spectators is boys?d) What is the frequency of women at the cultural shows.

e)Find the total number of girls and men at the cultural shows.

4. Diagram 4 shows a pie chart divided equally into several parts .

This pie chart show the number of spectator at the Sure Heboh Shows There are 810 spectators attends .

DIAGRAM 4

a) What is the mode?

b) What is the fraction of boys ?

c) What is the frequency of women at the Sure Heboh shows ?d)Find the total number of girls and men at the Sure Heboh shows.5. Diagram 5 shows a pie chart divided equally into several parts .

This pie chart show the number of pupils of SK Y going to their school. There are 400 pupils in SK Y .

DIAGRAM 5

a) What is the mode?

b) What is the range ?

c) What is the fraction of cars ?

d) What is the frequency of pupils going to school by bus?e)Find the total number of pupils going to school by cars and motocycle.

Do the multiplication first

Then do the addition

Do the operation in bracket first

Then do the subtraction

EMBED MSGraph.Chart.8 \s

Fraction of the shaded region =

EMBED MSGraph.Chart.8 \s EMBED MSGraph.Chart.8 \s EMBED MSGraph.Chart.8 \s


EMBED MSGraph.Chart.8 \s EMBED MSGraph.Chart.8 \s EMBED MSGraph.Chart.8 \s EMBED MSGraph.Chart.8 \s EMBED MSGraph.Chart.8 \s



1 604

60

sweets

Lychee

24 cans

2.3 l

860 ml

1.3 l

18 : 20

16 : 50

P

Q

R

S

Types of car

30

60

90

The number of car

641124 10 6481 6479

SAYANGI DIRI ANDA

15 : 10

20 : 40

RM5

RM2

RM2

50 sen

50 sen

50 sen

RM10

RM2

RM5

50 sen

20sen

20sen

( ( (

3 for RM4.50

( (((

4 for RM10

((((((

1 box RM4.80

(

3 buah RM4.50

(

RM2400

RM1500

12

9

6

3

12

9

6

3

Draw hour and minutes hand for 3.45 a.m.

12

9

6

3

Draw hour and minutes hand for 7.50 p.m.

12

9

6

3

State time in 24 hour systems

8:52a.m.


8:52 p.m.

14:27



20:02

3. 6 . 08

+ 3

3. 9 . 08

4. 1 . 09

- 4. 7 . 08

4. 4 . 08

7. 7 . 08

- . 5 .

7. 2 . 08

2. 6 . 08

+ 12 . 3 .

15. 9 . 08

16. 1 . 09

- 3 . 7 . 08

13. 6 . 08

4. 7 . 08

- 20 . 5 . 08

14. 1 . 08

11 : 40

12

9

6

3

3

6

9

12

3

6

9

12

09: 50

20: 45

P

Q

R

S

T

EQ \F(3,4) hours

1 hour 10 minutes

2 EQ \F(1,2) hours

35 minutes

1.3 kg

950g

1 EQ \F(3,4) kg

0

1

2

3

4

kg

1

2

3

4

kg

0

850ml

1.35 l

1 EQ \F(1,4) l

1 liter

P

Q

12.6 km

Tg Malim 34 km

Slim River 500m

6 cm

5 cm

12 cm

7 cm

9 cm

5 cm

Calculate the perimeter , in cm, shaded region .

3 cm

8 cm

5 cm

4 cm

6 cm

3 cm

4 cm

6 cm

3 cm

4 cm

6 cm

3 cm

4 cm

6 cm

3 cm

Q

5 cm

9 cm

Q

8 cm

3 cm

4 cm

2 cm

3 cm

3 cm

10 cm

6 cm

2 cm

Q

12 cm

4 cm

13 cm

9 cm

4 cm

P

13 cm

10 cm

Q

R

5 cm

5 cm

4 cm

P

6 cm

10 cm

R

Q

22 cm

7 cm

14 cm

P

Q

R

5 cm

10 cm

4 cm

8 cm

6 cm

P

7 cm

10 cm

Q

R

S

8 cm

6 cm

6 cm

3 cm

P

13 cm

12 cm

Q

R

5 cm

4 cm

5 cm

Q P

4 cm

7 cm

Q

R

3 cm

5 cm

5 cm

6 cm

17 cm

5 cm

P

Y

X

W

Q

5 cm

10 cm

4 cm

3 cm

8 cm

P

10 cm

W

X

Y

Z

18 cm

10 cm

6 cm

8 cm

P is a rectangle. W, X ,Y and Z are the similar right triangles.

5 cm

5 cm

9 cm

4 cm

7 cm

5 cm

8 cm

5 cm

12 cm

3 cm

Calculate the area, in cm , shaded region

Q

4 cm

9 cm

15 cm

6 cm

Q

6 cm

14 cm

6 cm

15 cm

Q

5 cm

2 cm

12 cm

Q

6 cm

9 cm

9 cm

4 cm

3 cm

10 cm

2 cm

7 cm

6 cm

5 cm

2 cm

8 cm

10 cm

Q

3 cm

4 cm

P

12 cm

P

5 cm

Q

9 cm

2 cm

P

2 cm

2 cm

14 cm

Q

Q

P

3 cm

4 cm

8 cm

P

2 cm

10 cm

P

6 cm

3 cm

Q

2 cm

P

2 cm

5 cm

7 cm

P

2 cm

6 cm

35

30

25

20

15

10

5

0

The number of passed

Classes

1 EQ \F(3,4) l

EQ \F(1,2) l

760ml

410ml

( ( ( (

1590g

1 EQ \F(1,4) kg

860g

1.7 kg

Colour of carThe number of carBlue1Red1White1









Gred of MathThe number of pupilsA4B1C1D2

Gred of MathThe number of pupilsA2B5C1D1


Gred of MathThe number of pupilsA4B3C1D1E1


ItemThe number of itemPencil1Bag4Chalk3Dice2






PAGE 1

_1247514537.xls

_1248674207.xls

_1258447933.xls

_1262845882.unknown

_1258447854.xls

_1258447894.xls

_1258447044.xls

_1258447441.xls

_1248433772.xls

_1248434023.xls

_1247514574.xls

_1247514687.xls

_1247514550.xls

_1246249463.xls

_1247514362.xls

_1247514516.xls

_1247514220.xls

_1246247647.xls

_1246248323.xls

_1238863267.unknown

_1237913329.xls

Buku Tahun 6

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