New Mathematics Workbook P.1 - P.6 Sample Chapters

Date:

8

Shapes Recognising Shapes

Colour the shape that is same as the one on the right.

Example:

(a)

(b)

(c)

(d)

(e)

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91

Fill in the shapes with the specified colour.

Quadrilateral – Red

Ellipse – Yellow

Circle – Green

Triangle – Blue

Match the shapes to the names. The first one is done for you.

Example:

Ellipse Triangle Circle Quadrilateral

92

Chapter 8

Shapes

Date:

Identifying Shapes in Objects The house below is made up of many shapes.

Count and write the number of shapes in the house.

Shapes

How many?

Ellipse Circle Quadrilateral Triangle New Mathematics Connection

93

Colour the shapes as indicated.

94

Chapter 8

Quadrilateral – Pink

Triangle – Yellow

Circle – Red

Ellipse – Orange

Shapes

Write the name of the shapes.

Example: (a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

Circle

Colour and name the shapes. (a)

(b)

(c)

(d)

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95

Cross out (×) the shape that is similar to the object on the left. The first one is done for you.

Example:

(a)

(b)

(c)

96

Chapter 8

Shapes

Colour the shapes that are similar.

Example:

(a)

(b)

(c)

Match the shapes to their names.

Example:

Ellipse

(a)

Quadrilateral

(b)

(c)

Triangle

Circle New Mathematics Connection

97

Date:

Making Patterns with Shapes Complete the patterns.

Example:

(a)

(b)

(c)

(d)

98

Chapter 8

Shapes

(e)

(f)

(g)

(h)

(i)

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99

Complete each pattern by colouring the correct object that comes next.

Example:

(a)

(b)

(c)

100

Chapter 8

Shapes

Complete the patterns.

Example:

(a)

(b)

(c)

(d)

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101

Measure the following items. (a) Length of my schoolbag is

.

(b) Length of this book is

.

(c) Length of my pencil case is

.

(d) Length of my pen is

.

(e) Length of my water bottle is

.

(f) Length of my notebook is

.

Measure the height of the following:

38

(a) Teddy Bear

(b) Doll

(c) Dinosaur

(d) Robot

Chapter 3

Length

Classify the objects which are measured in centimetres and metres in the table given below.

Tray

Spoon Table

Glass

Bus

Jug

Duster Bicycle

Window

Objects In Centimetres

In Metres

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39

Date:

Comparing Lengths Fill in the blanks.

Giraffe

Ostrich

Kangaroo

(a) The tallest animal is the

.

(b) The shortest animal is the

.

(c) The kangaroo is taller than

.

(d) The giraffe is

(f) Ostrich is taller than .

Chapter 3

Porcupine

than the elephant.

is shorter than kangaroo.

(e)

40

Elephant

Length

but shorter than

Fill in the blanks.

Red Purple Blue Green Yellow Pencil Pencil Pencil Pencil Pencil

(a) The

pencil is the longest.

(b) The

pencil is the shortest.

colour pencil is longer than a green (c) The colour pencil. (d) The blue colour pencil is pencil. (e) The red colour pencil is pencil.

than purple colour than yellow colour

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41

Date:

Solving Word Problems on Length Solve the following word problems.

Example: If the length of 1 bicycle is 2 metres, find the length of two bicycles.

The length of 1 bicycle is 2 metres.

So, the length of 2 bicycles is 2 + 2 = 4 metres.

Answer: The length of 2 bicycles is 4 metres. (a) The length of the motorcycle is 2 metres. If the house is 4 metres longer than the motorcycle, find the length of the house.

42

Chapter 3

Length

(b) The length of a pen is 10 centimetres. If the book is longer than the pen by 18 centimetres, find the length of the book.

(c) The length of the desk is 2 metres. The length of another desk is 1 metre. What is the total length of the of the desk?

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(d) The length of Dolphin A is 2 metres and the length of Dolphin B is 1 metre. What is the difference in their lengths?

Dolphin A Dolphin B

(e) Tom has a pencil of length 12 centimetres. After sharpening, the length of the pencil becomes 10 centimetres. By how much centimetres is the pencil shorter now?

44

Chapter 3

Length

(f) Mary has a ribbon of length 20 centimetres. Sunisa has a ribbon of length 30 centimetres. What is the difference in the lengths of the ribbons?

(g) John has a fishing rod which is 4 metres long. His brother has a fishing rod which is 6 metres long. How much longer is John’s fishing rod than his brother’s fishing rod.

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Put a tick ( ) in the correct box.

I know how to: • measure length using metres and centimetres; • compare lengths in metres and centimetres; • solve word problems on lengths.

Yes

No

Trace the outline of a metre ruler on a large piece of paper.

Cut it out using a pair of scissors. Make markings of 10 cm, 20 cm, etc., on the 1-metre strip of paper. Select any five items in the school compound, for example, the bench. Use the 1-metre strip that you have made to measure the items.

Share your findings with your classmates.

46

Chapter 3

Length

Date:

4

Division Showing Relationship Between Multiplication and Division

Fill in the boxes.

Example:

45 ÷ 5 = 9

9 × 5 = 45

45 ÷ 9 = 5 (a) 5 × 5 =

25 ÷ 5 = 25 ÷ 5 =

(b) 5 × 3 =

15 ÷ 3 = 15 ÷ 5 =

(c) 6 × 3 =

(d) 7 × 4 =

(e) 8 × 5 =

18 ÷

=3

18 ÷

=6

28 ÷

=7

28 ÷

=4

40 ÷

=8

40 ÷

=5 New Mathematics Connection

57

Interpret the following problems from multiplication to division.

Example:

58

4 × 8 = 32

(a)

7×3=

(b)

9×7=

(c)

12 × 4 =

(d)

10 × 6 =

(e)

9×5=

(f)

9×3=

(g)

8×9=

(h)

6×7=

(i)

5×8=

Chapter 4

Division

32 ÷ 4 = 8

32 ÷ 8 = 4

Fill in the boxes with < or > signs.

Example:

32 ÷ 8

<

32 ÷ 4

(a) 63 ÷ 7

63 ÷ 9

(b) 72 ÷ 9

84 ÷ 7

(c) 78 ÷ 6

99 ÷ 9

(d) 90 ÷ 9

96 ÷ 6

(e) 54 ÷ 6

72 ÷ 8

(f) 81 ÷ 3

90 ÷ 5

Fill in the boxes with = or ≠ signs to complete the mathematical sentence.

Example:

84 ÷ 7

=

72 ÷ 6

(a) 93 ÷ 3

11 × 3

(b) 36 ÷ 4

3×3

(c) 4 × 5

40 ÷ 2

(d) 80 ÷ 4

25 × 2

(e) 72 ÷ 8

9×6

(f) 80 ÷ 5

2×8

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Date:

Long Division Fill in the blanks.

Example:

7

(a)

6 42

8 64 64 0

42 0 (b)

(c) 8 72 72 0

(d)

9 81 81 0 (e)

6 48 48 0 (f)

(g) 4 24 24 0

60

Chapter 4

4 24 24 0

Division

4 45 45 0

Solve the following division problems.

Example:

21 ÷ 3 = 7

(a) 81 ÷ 9 =

7 3 21 21 0

(b) 36 ÷ 6 =

(c) 64 ÷ 8 =

(d) 25 ÷ 5 =

(e) 9 ÷ 3 =

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Date:

Dividing 3-Digit or 4-Digit Numbers by 1-Digit Number without Remainder Divide the following numbers.

Example:

624 ÷ 4 = 156

(a) 1,824 ÷ 6 =

156 4 624 4 22 20 24 24 0

(b) 6,363 ÷ 9 =

62

Chapter 4

Division

(c) 5,298 ÷ 3 =

(d) 2,225 ÷ 5 =

(e) 1,239 ÷ 7 =

(f) 1,023 ÷ 3 =

(g) 1,125 ÷ 5 =

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Date:

Dividing 3-Digit or 4-Digit Numbers by 1-Digit Number with Remainder Divide the following numbers: Example:

286 ÷ 5 = 57

(a) 199 ÷ 9 =

57 5 286 25 36 35 1

(b) 1,234 ÷ 5 =

64

Chapter 4

Division

(c) 3,287 ÷ 7 =

(d) 6,893 ÷ 8 =

(e) 4,545 ÷ 4 =

(f) 722 ÷ 3 =

(g) 1,326 ÷ 5 =

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65

Date:

Solving Word Problems Involving Division Write the mathematical sentence and solve the following word problems.

Example:

Kelvin had to read a book with 372 pages. He read it for 6 days. How many pages did he read each day?

62

Mathematical sentence: 372 ÷ 6 = Kelvin read a book with He read for Each day, Kelvin read

372 6

pages. days.

372 ÷ 6 = 62 pages.

6 372 36 12 12 0

Answer: Kelvin reads 62 pages of book each day. (a) A zookeeper ordered 5,400 pounds of food for the giraffes.The zoo has 2 giraffes. How many pounds of food will each giraffe have?

66

Chapter 4

Division

(b) A school ordered 1,400 books to be distributed equally among 9 students. How many books will each student get? Find the number of remaining books.

(c) Ken drove a car with a total of 180 kilometres in 4 days. How many kilometres did he drive each day?

(d) A van holds 8 children. How many vans are needed to hold 648 children?

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Date:

Check That Answers Are Reasonable Check that the following are reasonable. (a) If a number is divided by another number, then the quotient should be less than at least one of the numbers.

(b) If a two-digit number which ends with zero is divided by five, then the remainder should be zero.

68

Chapter 4

Division

(c) If a two-digit number which ends with multiples of 5 is divided by 5, then the quotient and divisor should be same.

(d) A two-digit number ending with 0 is divisible by both 2 and 5.

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Put a tick ( ) in the correct box.

I know how to: • use long division; • divide 3-digit or 4-digit numbers by 1-digit number without remainder; • divide 3-digit or 4-digit numbers by 1-digit number with remainder; • solve word problems on division; • check that answers are reasonable.

Yes

No

In a chicken coop, James counted 603 chicken legs. Did you find any mistakes with his answer? Explain your reason.

70

Chapter 4

Division

Date:

8

Decimals Knowing Decimals

Write the decimal number for the shaded part of the figure.

Example: (a)

0.3 (b)

(c)

(d)

(e)

(f)

(g)

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91

Colour the figures for the given decimal numbers.

Example:

0.3

(a) 0.7

(b) 0.2

(c) 0.9

(d) 0.4

(e) 0.6

(f) 0.1

(g) 0.5

(h) 0.9

Write the number names for the following decimals: Example: Seven point five

7.5 (a) 12.4 (b) 0.3 (c) 3,706.8 (d) 58,097.6 92

Chapter 8

Decimals

Write the numbers for the following number names: Example:

Three point six =

3.6

(a) Ninety point seven = (b) Two hundred and eleven thousand, three hundred and one point eight = (c) Thirty thousand six hundred and five point four = (d) Zero point one = Fill in the following table: Figure

Fraction

Decimal

Example: 2 10

0.2

(a)

(b)

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93

Figure (c)

(d)

(e)

(f)

(g)

94

Chapter 8

Decimals

Fraction

Decimal

Complete the following table.

Fraction

Decimal

In words

0.4

Zero point four

Example: 4 10 (a) 6 10

Zero point six

(b) 3 10 (c)

0.5

(d) 10 10 (e) (f)

Zero point two 7 10

(g)

0.1

(h)

0.8

(i)

Zero point nine

New Mathematics Connection

95

Date:

Comparing and Ordering Decimals Place value of tenths and expanded notation of one-position decimal Write the place value of the underlined digits.

Example: Decimals

Place value Tenths

5,137.2 (a) 100,451.6 (b) 18,207.3 (c) 863.9 (d) 37.4

Write the decimals in the expanded form.

(1 ×10) + (2 × 1) + 5 × 1 10 Example: 12.5 =

(

(a) 604.3

=

(b) 7,854.6

=

(c) 91,325.7

=

(d) 380,287.4 = Write in short form.

Example: 8 + 0.1 =

8.1

(a) 30 + 4 + 0.6 = (b) 5,000 + 400 + 60 + 8 + 0.5 = (c) 70,000 + 9,000 + 0 + 20 + 4 + 0.8 = (d) 600 + 80 + 5 + 0.3 = 96

Chapter 8

Decimals

)

Circle the smallest number.

Example:

35.7,

35.9

35.3

(a) 16.4

16.5

16.6

(b) 25.3

25.2

25.4

(c) 44.7

44.5

44.6

(d) 205.6

205.7

205.8

Compare the decimals using < or > signs.

Example:

7.4

<

17.5

(a) 25.6

25.2

(b) 19.8

39.7

(c) 0.5

1.0

(d) 4.3

24.9

(e) 5.4

4.5

(f)

0.5

5.0

(g) 29.8

29.0

(h) 1.7

1.9

(i)

7.9

72.4

Arrange the decimal numbers in increasing order.

Example:

0.3 1.3 4.5 0.7 0.3, 0.7, 1.3, 4.5

(b) 890.3 890.6 890.5 809.4

(a) 25.6 23.8 24.7 24.6

(c) 4,014.9 4,105.6 4,015.3 4,014.5

Arrange the decimal numbers in decreasing order.

Example:

9.8 4.7 10.5 4.6 10.5, 9.8, 4,7, 4,6

(b) 321.2 321.5 312.0 312.5

(a) 13.6 13.9 12.1 14.5

(c) 6,014.6 6,014.7 6,014.5 6,041.2

New Mathematics Connection

97

Date:

10 Volume of Solids Three-Dimensional Solids Differentiate the 2-D and 3-D shapes given below. (a)

(b)

(c)

(d)

(e)

(f)

Identify the 3-D shapes from the given picture. (a)

(b)

New Mathematics Connection

129

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(j)

Identify the components of the given 3-D figures. (a)

130

Chapter 10

(b)

Volume of Solids

(c)

(d)

(e)

(f)

(g)

(h)

Name 3 things that resemble a prism and identify its base and name it.

Name 3 things that resemble a cone.

New Mathematics Connection

131

Date:

Measuring Volume and Capacity Count the blocks and find their total volume if each 1 cubic centimetre.

is equal to

(a) There are The volume is

cubes. cubic centimetres.

(b) There are The volume is

cubes. cubic centimetres.

(c) There are The volume is

cubes. cubic centimetres.

(d) There are The volume is

132

Chapter 10

Volume of Solids

cubes. cubic centimetres.

(e) There are

cubes.

The volume is

cubic centimetres.

(f) cubes.

There are The volume is

cubic centimetres.

(g) There are

cubes. cubic centimetres.

The volume is

(h) There are

cubes.

The volume is

(i)

There are

cubic metres.

cubes.

The volume is

cubic metres.

New Mathematics Connection

133

Date:

Volume Conversion Conversion table for units of capacity

1 mL = 1 cm3

1 cm3 = 1 mL

1 L = 1,000 mL

1 mL =

1 L 1,000

1 L = 1,000 cm3

1 cm3 =

1 L 1,000

1L=

1 1,000

m3

1 m3 = 1,000,000 cm3

1 m3 = 1,000 L 1 cm2 =

1 1,000,000 m3

Fill in the blanks. (a) Units for measuring capacity is _________units. (b) One litre is equivalent to __________ cubic metre. (c) A cubical container of edge of length 1 metre can hold _______ litres of water.

2m

(d)

The edge of the cube is of length 2 metres. Its volume is

2m 2m

____ cubic metres. (e) A container of capacity 10 cubic metres can hold _________ litres of water.

134

Chapter 10

Volume of Solids

Match the following: (a) 4 L

1 cm3

(b) 1 mL

2,000,000 cm3

(c) 5 L

3,000 cm3

(d) 3 L

4,000 cm3

(e) 2 m3

5,000 mL

(f) 5 m3

7,000 mL

(g) 7 L

5,000,000 cm3

Convert the following units from cubic metres to cubic centimetres. (a) 4 cubic metres

(b) 5 cubic metres

(c) 80 cubic metres

(d) 20 cubic metres

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135

(e) 75 cubic metres

(f) 18 cubic metres

Convert the following units from cubic centimetres to cubic metres.

136

(a) 40,000 cubic centimetres

(b) 5,000,000 cubic centimetres

(c) 100,000 cubic centimetres

(d) 1,950,000 cubic centimetres

(e) 3,500,000 cubic centimetres

(f) 5,660,500 cubic centimetres

Chapter 10

Volume of Solids

Date:

Finding Volume or Capacity of Cuboids Using Formula Volume of a cuboid = length × width × height Volume of a cube = area of the base × height

Calculate the volume of each of the cuboid below. (a) 4 cm 5 cm 2 cm

(b) 7 cm

3 cm 3 cm

(c)

4m 5m 1m

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137

(d) 5 cm 5 cm 5 cm

(e) 2 cm

25 cm

20 cm

Calculate the volume of the solid below. (a)

6 cm 4 cm 7 cm 6 cm 2 cm 6 cm

(b)

9 cm

2 cm

7 cm

6 cm 7 cm 4 cm

138

Chapter 10

Volume of Solids

Find the volume of the rectangular box of the following dimensions draw the diagram (not to scale). (a) length = 2 m, width = 3 m and height = 4 m

(b) length = 12 m, width = 9 m and height = 6 m

(c) length = 6 m, width = 9 m and height = 4 m

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139

(d) length = 7 cm, width = 1 cm and height = 9 cm

(e) length = 5 cm, width = 6 cm and height = 7 cm

Find the volume of a cuboid whose base area is 50 square centimetres and height is 10 centimetres.

140

Chapter 10

Volume of Solids

Find the volume of the cube of side length 500 centimetres. Also, find how many litres of water it can hold.

Find the volume of a cube with side of 5 centimetres. What is the total volume if there are 5 cubes?

Find the volume of a cuboid which is made up of 2 cubes of side 3 centimetres.

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141

Put a tick ( ) in the correct box.

I know how to:

Yes

No

• identify three-dimensional shapes; • describe the characteristics of a three-dimensional shape; • convert units of volume; • recognise the different types of solids; • find volume in cubic unit, cubic centimetre and cubic metre; • use formula to find the volume and capacity of a cuboid; • use formula to find the volume and capacity of a rectangular prism.

Do you know what is the difference between a two-dimensional figure and a three-dimensional figure? Draw a 2-D and a 3-D figure to explain your answer.

142

Chapter 10

Volume of Solids

Date:

Fractions

2

Comparing and Ordering Unrelated Fractions Put < or > to compare the following unrelated fractions: Example:

Look at 4 and 9 .

5 10

Solution: The denominators are 5 and 10.

5 is a multiple of 10.

Now, the fractions 8 and 9 have the same 10 10 denominator.

Thus, we multiply the numerator and 4 denominator of the fraction by 2.

5 Thus, 4 × 2 = 8 10 5×2

8 10 So,

(a)

5 6

2 3

9 10

8 < 9.

10 10 (b)

5 7

7 8

New Mathematics Connection

13

14

(c)

9 6

10 4

(d)

1 3

1 4

(e)

9 14

4 7

(f)

9 8

5 16

(g)

5 14

6 21

(h)

9 12

Chapter 2

Fractions

8 13

Arrange the fractions in decreasing order.

(a)

8, 4 , 7, 5 9 15 6 3

(b) 14 , 16 , 9 , 19 16 8 4 12

(c)

2, 4, 9, 7 3 5 2 4

(d) 1, 5, 4, 7 3 9 6 15

(e)

1, 3, 5, 7 2 4 8 6

(f)

(g)

3, 5, 7, 8 2 4 6 3

(h) 3, 1, 9, 16 8 7 5 6

(i)

15 , 7, 5, 3 3 6 2 4

(j)

3, 12 , 4 , 6 5 10 15 30

(k)

4, 8 , 5 , 9 7 14 21 14

(l)

5, 9 , 6 , 7 8 10 14 9

12 , 14 , 15 , 5 5 20 10 15

New Mathematics Connection

15

Arrange the fractions in increasing order.

16

(a) 1, 1, 1, 1, 1 2 4 3 6 5

(b) 2, 3, 4, 6 3 4 2 5

(c) 1 , 3 , 5 , 7 15 20 10 5

(d) 8 , 18 , 4 11 22 33

(e) 2 , 6 , 4 , 5 15 45 30 10

(f) 1, 5, 9, 19 4 3 8 5

(g) 3, 2, 5 , 7 , 1 5 7 14 10 15

(h) 17 , 8 , 7 , 4 30 15 10 5

(i) 14 , 12 , 15 , 5 20 5 10 15

(j) 7, 9, 2, 4 4 2 3 5

(k) 4, 6 , 13 , 8 7 14 21 42

(l) 5, 7 , 8 , 6 6 12 18 10

Chapter 2

Fractions

Date:

Operations on Unrelated Fractions Simplify. (a)

( )

2 + 4 – 1 = 3 6 6

Answer:

(b)

(

)

1 + 12 – 2 = 8 16 8

Answer:

New Mathematics Connection

17

(c)

[(

) ]

4 + 1 × 1 – 12 = 5 10 2 20

Answer:

(d)

( ) ( )

1 + 7 + 9 – 9 = 4 5 2 4

Answer:

18

Chapter 2

Fractions

(e)

(

) ( )

6 – 11 + 1 + 5 = 7 14 4 2

Answer:

(f)

[(

) ]

8 – 5 + 1 × 6 = 20 10 10 5

Answer:

New Mathematics Connection

19

Date:

Mixed Operations on Unrelated Fractions Simplify. (a)

(

)

12 + 23 – 31 = 7 7 7

Answer:

(b)

(

)

2 1 + 18 – 1 = 3 9 6

Answer:

20

Chapter 2

Fractions

(c)

(

21 + 21 + 21 6 4 3

)

=

Answer:

(d)

(

) (

)

93 × 81 + 65 × 41 = 4 2 4 3

Answer:

New Mathematics Connection

21

Date:

Operations on Mixed Numbers Solve the following mixed numbers: (a) 4 1 + 9 2 = 4 8

Answer:

(b)

72 + 9 1 = 5 4

Answer:

22

Chapter 2

Fractions

(c)

10 1 – 4 1 = 2 2

Answer:

(d) 4 1 + 6 2 = 2 3

Answer:

New Mathematics Connection

23

(e)

16 × 9 3 = 8 2

Answer:

(f)

21 ÷ 43 = 5 8

Answer:

24

Chapter 2

Fractions

Date:

Mixed Operations on Mixed Numbers Solve the following unrelated mixed numbers: (a)

(

)

4 4 + 4 3 + 11 = 2 2 4

Answer:

(b)

(

) (

)

11 × 2 3 + 2 6 – 11 = 2 4 4 4

Answer:

New Mathematics Connection

25

(c)

(

) (

Answer:

(d)

(

)

41 × 23 – 21 = 2 8 2

Answer:

26

Chapter 2

)

2 1 – 2 1 + 14 – 13 = 2 3 5 6

Fractions

(e)

(

)

15 ÷ 10 1 × 11 = 6 2 3

Answer:

(f)

(

16 ÷ 29 11 1

) (

)

+ 11 × 2 1 = 2 4

Answer:

New Mathematics Connection

27

(g)

(

35 × 22 11 7

) (

)

) (

)

+ 14 × 15 9 7

=

Answer:

(h)

(

7 1 – 1 7 + 21 – 1 1 = 5 10 6 2

Answer:

28

Chapter 2

Fractions

Date:

Solving Word Problems on Fractions and Mixed Numbers Solve the following problems: Example: Tom has 30 apples and he distributed 1 to Kong and 2 to Mai. Find the 4 4 remaining apples Tom has.

Solution:

( )

Equation: 30 – 1 + 2 = 4 4 Tom has

30

apples

Tom gives

1 4

of his apples to Kong

Tom gives

2 4

of his apples to Mai

In total, Tom gives

1 + 2 = 3 4 4 4

of his apples to his friends

( ) The amount of remaining apples is 30 – 3 = 30 × 4 – 3 apples 4 4 apples = 120 – 3 4 = 117 4

apples

apples = 29 1 4 1 Answer: The total amount of remaining apple Tom has is 29 apples.

4

New Mathematics Connection

29

1 1 (a) Sumathi was given 1 piece of cake and Navin was given 1 piece of cake. Find 2 4 1 the total amount, subtract 1 of it and find the remaining cake.

3

(b)

(c)

30

Ake and Samuel have book shelves of the same size partly filled with books. Asha’s 6 3 shelf is 1 full and Samuel’s shelf is full. Whose bookshelf is fuller and by what 7 5 fraction?

3 1 A box contains 480 pencils. Tong used of it, for Mikky used 1 of the remaining 8 5 1 pencils. was used by Tong again. Find the unused number of pencils and also the 4 total pencils used by Tong.

Chapter 2

Fractions

1 (d) Fai collects stamps. Out of 1,000, 1 of the stamps are from China while the rest 7 5 are from Japan. He has 2 more stamps from China than from Japan. How many 9 stamps does she have altogether?

Solve the following word problems using Thai method.

1 1 Example: Tai has 2 kilograms of rice. He bought 5 kilograms of rice from his friend. If he 3 3 1 needs 12 kilograms of rice to prepare lunch, how much kilogram of rice does 3 he need?

Solution: Equation: 12

(

)

1 1 1 – 2 + 5 = 3 3 3

Tai has

2

He bought more

5

So, he has

1 3

kilograms

1 kilograms 3 1 1 2 + 5 = 23 kilograms 3 3 3

1 He needs rice to prepare lunch 12 kilograms 3 The total number of rice that he needs is 12

1 23 37 23 = – – 3 3 3 3 2 = 14 = 4 kilograms 3 3

2 Answer: The total number of rice that he needs is 4 kilograms.

3 New Mathematics Connection

31

1 1 of his money on dress and 3 of the remaining money on a 4 4 pair of shoes. If he had 120 Baht left, how much money did he have at first?

(a) Ms. Suda spent 2

(b)

(c)

12 1 kg; Parcel B weighs 3 kg heavier than Parcel A. Find the total 3 2 weight of Parcel A and Parcel B. Parcel A weighs

5 1 of the total number of apples is equal to 3 of the total 6 2 number of bananas. Given that there is a total of 630 apples and bananas, find the In a fruit shop, 2

difference in the number of apples and bananas.

32

Chapter 2

Fractions

(d) Before eating Jim had twice as many apples as Tong. After eating, Jim had 24 apples 4 and Tong had 45 apples. As a result, Jim had as many apples as Tong. Find the 7 total number of apples that Jim and Tong had first.

(e)

Three tankers contain 40 litres, 60 litres and 80 litres of petrol, respectively. Find the maximum capacity of a container that can measure the petrol of the three containers exact number of times.

(f)

What is the greatest number that divides 690 and 875 leaving reminders 10 and 25, respectively.

New Mathematics Connection

33

Put a tick ( ) in the correct box.

I know how to:

Yes

No

• compare and order unrelated fractions; • perform four mathematical operations on unrelated fractions and mixed numbers; • solve word problems involving mixed operation on fractions and mixed numbers • create word problems involving mixed operation on fractions and mixed numbers.

Take any two fractions, one of which is in its simplest form. Multiply the numerator of one fraction with the denominator of the other. Then, multiply the denominator of the fraction with the numerator of the other. What do you notice? Discuss your findings with your classmates.

34

Chapter 2

Fractions