1. WHOLE NUMBERS

2. FRACTIONS

3. DECIMALS

4. MONEY

5. PERCENTAGE

POINTS TO PONDER

TOPIC CONTENTSWHOLE NUMBERS

•WRITE NUMBER

•PLACE /DIGIT VALUE

•ROUND OFF

•OPERATIONS ( +, - x ,÷ )

•NUMBER LINE

•MIXED OPERATIONS

FRACTIONS •EQUIVALENT /SIMPLEST FORM

•+, -, x, ÷

•NUMBER LINE

•CONVERT TO DECIMALS/PERCENTAGE

•FRACTION OF THE SHADED REGION

•FRACTION OF A WHOLE NUMBER

DECIMALS •OPERATIONS ( +, - x ,÷ )

•NUMBER LINE

•PLACE /DIGIT VALUE

•CONVERT TO FRACTIONS

•ROUND OFF

MONEY •TOTAL OF MONEY/PRICE/BALANCE

•COST PRICE/SELLING PRICE/PROFIT/LOSS

•INCOMPLETE BILL

•PERCENTAGE OF SAVING/TOTAL OF SAVING

PERCENTAGE •CALCULATE THE PERCENTAGE

•DISCOUNT

•PERCENTAGE OF THE SHADED REGION

•CALCULATE THE VALUE FROM THE GIVEN PERCENTAGE

•CONVERT TO FRACTIONS

Solution : 7 digit number

Million Hundred

Thousands

Ten

Thousands

Thousands Hundreds Tens Ones

Seven million Fifty thousand Three

Answer: C. 7 050 003

Seven million fifty thousand and three in numerals isA 7 500 030 C 7 050 003B 7 050 300 D 7 005 003

1.

Seven million fifty thousand and three

7 5 30 0 0 0

4 567 123

PLACE VALUE DIGIT VALUE

THOUSANDS 7 000

Round off 6354 to the nearest ten

A 6300 C 6355

B 6350 D 6360

(2003)

Which of the following numbers when rounded off to the nearest ten thousand becomes 5 490 000?

A 5 499 042B 5 495 047C 5 494 374D 5 484 916

The diagram below shows a number line.

Find the value of W.

44 880 45 380 W

A 45 880 C 46 880B 46 380 D 47 380

Answer : C. 46 880

+ 500 + 500 + 500

44 880 45 380 W

45 380+ 500 45 880

45 380- 44 880 500

45 880+ 500 46 380

46 380+ 500 46 880

Solution : Find the difference

406 532 71 908

Find the difference between the value of digit 6 and the value of digit 9 in the two numbers.

A 300 C 5100B 3000 D 8400

Answer : C. 5100

Solution : Difference = subtraction

406 532 71 908

Th

6 Thousands = 6000 9 Hundreds = 900

6 0 0 0 - 9 0 0 5 1 0 0

6000 - 900 =

H

66 674 ÷ 37 =

A 182B 1082C 1802D 1820

1 80 _37 )66 674 37 29 6 29 6 00 07

Diagram shows an incomplete number line. Find the value of Q.

8

11

4

11

8

31Q

4

313

234

1

4

235.75

4

35

480 5

2

What number must be written in the above?

480 X 2

5=

240

240 x 5 =1200

4

1

4

1

1

8

÷ 8 =

÷

4

1 X

8

1 =

32

1

FRACTION

Diagram 8 consists of several squares of equal size . Find the fraction of the shaded region of the whole diagram.

A

B

C

D

1214

3858

Diagram 8

÷ 2

÷ 2

6 16

=

3 8

=

100

2

The diagram shows a decimal labelled W, X, Y and Z

Which letter represents

2 . 2 2 2

W X Y Z

?

10 100 1000Whole number .

2 2 2 2

W X Y Z 100

2.

Round off 54.019 to two decimal places

A 54.02 C 54.20B 54.10 D 55.02

Diagram shows two number cards.

Find the difference between digit 3 and digit 8.

A 0.05 C 0.38

B 0.22 D 0.77

6.78 2.34

2000

A 4.027B 4.63C 4.937D 5.0

100

7

1000

75

5.007- 0.07

65 sen 400 =

A RM26 C RM2 600

B RM260 D RM26 000

Fifty-eight thousand eight ringgit and eighty sen is written as

A RM58 800.08 C RM58 008.80B RM58 080.80 D RM58 800.08

sen.

.

Fifty-eight thousand eight ringgit and eighty sen

RM sen

M Th H/Tn/O

5 8 0 0 8 8 0

RM

Puan Anita paid with a RM50 note and received a balance of RM13.60.Calculate the price of one metre of red cloth.

Quantity Item Price per Unit Price

4 metres Yellow Cloth RM4.90 RM19.60

3 metres Red Cloth

TOTAL

Diagram below is incomplete bill which shows two items bought by Puan Anita

Convert fraction to percentage

Find the value of percentage

%751004

3

RM200 of %5

%75100

75

25

25

4

3

5 X RM200 = RM10

100

BASIC FACTS

FRACTIONS

DECIMALS0.25 0.5 0.75

PERCENTAGE 25% 50% 75%

2

1

4

1

4

3

1.0

100%

4

4

• TIME

• LENGTH

• MASS

• VOLUME OF LIQUID

HAVE YOU MEMORIZED ALL THE IMPORTANT FACTS…?

TIME

1 minute 1 hour 1 day 1 week 1 year 1 year 1 leap year 1 decade 1 century 1 century

= = = = = = = = = =

60 seconds 60 minutes 24 hours 7 days 52 weeks 12 months 366 days 10 years 10 decades 100 years

1 millenium = 1000 years = 100 decades

1 cm = 10 mm 1 m = 100 cm 1 m = 1 000 mm 1 km = 1 000 m

Length

Mass

1 kg = 1 000 g

Volume of Liquid

1 l = 1 000 ml

Money

Profit= sales price - cost price

Loss= cost price - sales price

Average

Total item values

Numbers of items=

HAVE YOU MEMORIZED ALL THE IMPORTANT FACTS…?

500 500250

1 km = 1000 m

21

41

51

250 250

250 200

200

200

200

200

4

3

5

3

5

2

30 30 20 20

20

15

15

15

15

1 hour = 60 minutes

hour2

1hour

3

1hour

4

1

The diagram shown a time line.

endstart

10 : 30 p.m 7 : 30 a.m

Find the duration between the two given

10:30 11:30

p.m

12:30 1:30 2:30 3:30 4:30 5:30 6:30 7:30

a.m

1 hr 1 hr 1 hr 1 hr 1 hr 1 hr 1 hr 1 hr = 9 hours1 hr

9.

How many days are there in the month shown on the calendar?

A 28 days C 30 daysB 29 days D 31 days

Name of the month

MAY

31 days

How many years are there in

2

1 decade ?

A 5 C 12B 10 D 50

1 10

2=

1

5

= 5

1 decade = 10 years

The diagram shows the length of a plank.

State the length of the plank in m.

5 . 5 cm

5 . 5 cm

1 0 0= 0. 5 5 m

Which of the following is the height of a year 6 student?

A 1.3 cm

B 13 cm

C 130 cm

D 1300 cm

130 cm

Calculate the average length, in m, of the strings.

80 cm

1 . 8 5 m

1 . 8 5 0

+

2

4

0

1 . 0 5 m 1 8

5

1

2 . 9

0 0

Table 1 shows the length of strings needed to tie box Z and box Y.

Box Length of string

Z 1.05 m

Y 80 cm

A 0.925 C 9.250B 1.850 D 11.40

0 . 8 m=

0 . 8 0 m

0

5

1 0

0

0.925

The diagram shows the mass of a cabbage . What is the mass of the cabbage ?

A 1 kg 300 g C 1 kg 750 gB 1 kg 500 g D 1 kg 800 g

1 kg

250 g

250 g

250 g

750 g

1000 g

+

1750 g=

= 1kg 750 g

=

Step 1:i) Convert 52 kg 600 g to kg. 1 kg = 1000 g 600 g = 600 ÷ 1000 = 0.6 kg52 kg 600 g = 52 kg + 0.6 kg = 52.6 kg

The table shows the masses of three pupils.

Kim Haris Mohan

40.8 kg 52 kg 600 g 47 kg

Find the total mass in kg .

Step 2:ii) Find the total mass.

40.8 kg 52.6 kg+047.0 kg 140.4 kg

Convert into tablekg

km

l

g

m

ml 1 1

40

52

47

8

6 0 0

140 4 0 0

140400 g = 140 kg 400 g = 140.4 00 kg

.

Which of the following is the suitable dose of cough syrup that should be given to an adult patient?

A 1.5 mℓB 15 mℓC 150 mℓD 1500 mℓ

15 mℓ

The diagram shows the volume of fresh milk and apple juice in two containers

a) the volume of the fresh milk is ________ b) the volume of apple juice is __________

The diagram shows the volume of fresh milk and apple juice in two containers.

a) the volume of the fresh milk is ________

1 ℓ 2 ℓ half

2

1

2

12 ℓ + =

2

12 ℓ

500 mℓ

or 2 ℓ 500 mℓ + = 2 ℓ 500 mℓ

or2 ℓ 500 mℓ = 2 . 5 ℓ

The diagram shows the volume of fresh milk and apple juice in two containers.

1 ℓ

3 ℓ

b) the volume of apple juice is __________

2 ℓ

5 ℓ 4 ℓ

5 ℓ

or

5000 mℓ

The table shows the volume of four types of canned drinks

Drink Volume

W 1 l 480 ml

X 1 l 250 ml

Y 1 l 420 ml

Z 1 l 500 ml

Which two types of canned drinks have a total volume of 2.75 l ?

Try and error

W + X = 2.73 l

Y + Z = 2.92 l

W + Y = 2.90 l

X + Z = 2.75 l

Answer = D

= 1.480 l

= 1.250 l

= 1.420 l

= 1.500 l

1.480 l + 1.250 l =

1.420 l + 1.500 l =

1.480 l + 1.420 l =

1.250 l + 1.500 l =

ChoosingTheOperation

Working

Backwards

Using Logic Guessin

gAnd

Checking

Make a table Chart/ systematic

Identifying

patterns and

sequences

Finding

Facts

Draw a diagram

Problem SolvingStrategi

es

Ena takes 25 minutes to wrap a gift. Find the total time needed,

in hours and minutes, to wrap 7 similar gifts.

Solution

Steps:

i) 25 minutes x 7 = 175 minutes

ii ) 1 hour = 60 minutes

175 minutes = 175 ÷ 60

= 2 hours 55 minutes

10

72

10

72

2

13

2

13

The diagram shows a road map.

Jamal cycled from his house to the mosque and then to the library. Find the distance, in km, he has cycled.

House to mosque

+

Mosque to library

House to mosque to library

= 10

72

10

53

10

125

+

=

=

=

10

105

10

2

10

215

10

26

5

16

=

=

The total mass of 9 similar packets of sugar is 9.81 kg. What is the mass, in g, of each packet of sugar ?

A 1 900 C 1 009B 1 090 D 109

9 packets of sugar = 9.81 kg.

1 packet of sugar = 9.81 9 = 1.09kg= 1090 g

What is the average of 320 ml and 1.65 l ?

A 941 l C 0.962 lB 950 l D 0.985 l

1. 9 7 l

+

1 . 9 7 l2

1 8

1

.

320 ml = 0.32 l

0 . 3 2 l

1 . 6 5 l

0 9

7

8

1 6 1 0

0

1 0

5 l

0

A jug of juice contains 300 ml of water and 5 ml of syrup cordial. How much syrup cordial needed to be mixed with 6ℓ

of water to have the same taste ?

A 0.1 C 100

B 4 D 1 200

300 mℓ = 5 mℓ

× 20 = × 20

6000 mℓ = 100 mℓ

6 ℓ = 6000 mℓ

6000 ÷ 300 = 20

2D & 3D Shape

Diagram 3 shows a piece of cylindrical wood.

The wood is cut into three parts. How many flat faces are there altogether?

2D & 3D Shape

Diagram 2 shows a number of rectangular cards, P and a number of square card, Q.

Which of the following combinations of cards can form a box in the shape of cuboid?A 1 piece of P and 5 piece of Q B 2 pieces of P and 4 piece of Q C 3 pieces of P and 3 piece of Q D 4 pieces of P and 2 piece of Q

P Q4 cm 4 cm

8 cm

2D & 3D Shape

A solid has 6 flat surfaces and the following characteristics;

2 square surfaces

4 rectangular surfaces

8 vertices

What is the name of the solid?A Cuboid B Cube C Pyramid D Cylinder

2D & 3D Shape

The diagram consists of several squares of equal size. Find the perimeter of the shaded area.

2D & 3D Shape

Diagram below shows a square UWXY and a rectangle JKLM. JYXK is a straight line.

Find the perimeter, in cm, of the whole diagram.

2D & 3D Shape

2D & 3D Shape

Diagram below shows two squares, PQRS and SEFG

Find the area, in cm2, of the shaded region

Calculate the area, in cm2, of the shaded region

Diagram below shows a combination of a rectangle EFGH

and a square EMHN.

2D & 3D Shape

2D & 3D Shape

2D & 3D Shape

2D & 3D Shape

2D & 3D Shape

2D & 3D Shape

In diagram below, triangle X, P, Q, R and S are drawn on squares of equal size.

Which triangle has the same characteristic as X ?

2D & 3D Shape

2D & 3D Shape

2D & 3D Shape

0

10

20

30

40

50

60

70

80

90

1st Qtr 2nd Qtr 3rd Qtr 4th Qtr

East

West

North

Determine the frequency, mode, range, average, maximum and minimum value from a pie chart,

The Owners of 8 Dolls

Frequency :

Range : Maximum - Minimum

Maximum

Minimum

Range : 3 - 1 = 2

Mode : Most popular or frequent value

What is the most common number of dolls collected ?

Average :

Study the pie chart and answer the following question.

Study the pie chart and answer the following question.

Study the pie chart and answer the following question.