MATHS TEXT BOOK Y5 DLP

THINK - PAIR - SHARE

Tools/Materials question cards, A4 paper, pen

SAMPLE QUESTION CARDS

Print 1 350 pieces of cards in The price for 4 kg of

10 minutes. biscuits is RM58.

Calculate the number of cards What is the price for 2 kg
printed in 12 minutes. of biscuits?

Task

1 A nswer the question received in the A4 paper.
2 C hoose a friend and present your answers.
3 Correct each other’s answer.
4 Present the work in front of the class.

1 The following is a cocoa jelly recipe for one mixture.

• 1 packet/10 g of jelly powder • 3 tablespoons of
cocoa powder
• 400 m of evaporated milk
• 1 piece of
• 800 m of water pandan leaf

• 3 cup of granulated sugar • a pinch of salt
4

a Calculate the volume of evaporated milk needed when using 20 g
of jelly powder.

b What is the volume of evaporated milk for three mixtures?

c What is the mass of jelly powder for 1 200 m of water?

2 The picture shows the price for 1 kg of granulated sugar.

1 kg a State the price for 2 kg of granulated sugar.

Sugar 1 kg b What is the mass of granulated sugar that
RM2.85 can be bought with RM8.55?

7.3.1 • Carry out group activities involving daily life situations such as 243
cooking based on simple recipes using the correct proportions.

SOLVE THE PROBLEMS y

1 T he Cartesian plane shows entrance
the duty positions for four
school prefects. Jessica is 6B
on duty at entrance A. The
distance of Resma’s duty 5
position from Jessica is
4 units horizontally and 4
3 units vertically. What is the
coordinate of Resma’s duty 3 bicycle
position? parking
canteen
spot
2

1

entrance

Ax
O 12345

Understand the problem

• Jessica is on duty at entrance A.
• The distance of Resma’s duty position from Jessica is 4 units

horizontally and 3 units vertically.
• Find the coordinate of Resma’s duty position.

Plan the strategy On the Cartesian plane, mark the distance of 4 units

Solve horizontally and 3 units vertically from entrance A.

y

6 Check

5 Coordinate of Coordinate of
Resma’s duty Jessica’s duty
4 position is (5, 3) position is (1, 0)

3 Resma’s duty Calculate the horizontal distance:
position (5, 3) 5 units – 1 unit = 4 units

2

1 Calculate the vertical distance:
3 units – 0 unit = 3 units
O 12 345 x The coordinate of Resma’s
Jessica’s duty
position (1, 0) duty position is (5, 3).

244
7.4.1 • Guide pupils to solve problems by drawing a Cartesian plane.

2 I nitially, the mass of package R and the mass of package T was 1 kg
and 4 kg respectively. Herma put in a honeydew of the mass of 2 kg
inside package R. Calculate the ratio of the current mass of package R
to the current total mass of package R and T.

Solution Summarise the

Package R T information in
Initial mass a table.

1 kg 4 kg

The mass of a honeydew put inside 2 kg none
the package

Current mass ? 4 kg

Find the ratio of the current mass of package R
to the current total mass of package R and T.

Initial mass Mass of a Draw
1 kg honeydew diagrams
2 kg to represent
the current mass of package R the current
3 kg
mass.
the current mass of package T
4 kg

the ratio of the current mass of package R to the current total mass
of package R and T

3:7

The ratio of the current mass of package R to the current total mass
of package R and T is 3 : 7.

What is the ratio of the current total mass of package
R and T to the mass of package T?

7.4.1 • Guide pupils to use representations to state the ratios between 245
two quantities.

3 Every day, Encik Lau drives his car 36 km from home to the office.
He uses 3 of petrol for a one-way journey. What is the distance
travelled, in km, with 40 of petrol?

Solution

Given 3 petrol 36 km

Asked for 40 petrol ? km

Find the distance 36 km ÷ 3 = 12 km (distance for 1 petrol)

travelled with 1

of petrol.

36 km

40 × 12 km = 480 km (distance for 40 petrol)

Let’s check 1 2 km
the answer.

40 4 8 0 km 12 km 1
−4 0
80 distance for 3 3 × 12 km = 36 km

−80
0

The distance travelled with 40 of petrol is 480 km.

How many days can Encik Lau use the
40 of petrol for his two-way journey?

246
7.4.1 • Guide pupils to solve problems using the unitary method.

1 The Cartesian plane shows the location of several places in
an office building.

y
canteen
5

T

4 Q
meeting
room
3

2P clocking in
main S machine
door
R
1 reception

O x
1 2 345

a State the horizontal distance and the vertical distance from S to Q.

b What is the distance travelled by Lucy from R to the canteen?
c Puan Edith works at R. The distance of Encik Ragu’s workplace

from Puan Edith’s is 3 units horizontally and 1 unit vertically.
What is Encik Ragu’s coordinate?

2 The volume of water left in bottle J and bottle K is 0.5 and 3
respectively. Hazel poured 1.5 of water in bottle J. State the ratio
of the current total volume of water in bottle J and K to the current
volume of water in bottle J.

3 Adira used 2 cups of brown sugar and 5 cups of flour to make a type
of biscuit. How many cups of brown sugar is needed for 15 cups
of flour?

4 A printer can print 400 posters in 1 hour 20 minutes. How much time,
in minutes, is needed to print 700 similar posters?

7.4.1 247

y

6 F

1 The Cartesian plane shows points E, F and G. 5 G
x
a State the distance of: 4 E
i point E from the origin. 3 56
ii point F from the origin. 2 34
iii point G from the origin.

b State the distance from point E to F. 1

c State the distance from point F to G. O 12

2 S tate the horizontal distance and vertical distance:

a from (3, 7) to (5, 8). b from (6, 2) to (2, 3).

3 The table shows Kaswini’s expenditure at the school canteen
for four days.

Day Monday Tuesday Wednesday Thursday

Money RM5 RM3 RM4 RM1

a State the ratio of expenditure on Monday to the expenditure
on Tuesday.

b State the ratio of expenditure on Wednesday to the total
expenditure from Monday to Thursday.

c State the ratio of the total expenditure from Monday to Thursday
to the expenditure on Tuesday.

4 The following are the ingredients used to make a syrup mixture.

150 m of syrup concentrate
1.25 of water
1 kg of granulated sugar

Calculate:
a the volume of syrup concentrate when 2 kg of granulated sugar

is used.
b the mass of granulated sugar needed for 450 m of syrup

concentrate.
c the volume of water needed for 225 m of syrup concentrate

to get the same taste.

7.1.1
248 7.2.1

7.3.1

5 Solve the problems below.

a T he Cartesian plane shows the positions of the uniformed units at
a camping site.
y Symbol Uniformed Unit
4 Scouts

3 Malaysian Red Crescent

Society (MRCS)
2 Puteri IslamPUTERIISL
GERAKAN
GERAKAN
YSIA PER AM MALAPUTERI ISL
AM MALA
YSIA PER

1 Girl Guides

O x School Youth Cadet
Corps (SYCS)
1234

i One member of the Girl Guides who is at (4, 2) wishes to go

back to her society’s camp. What are the horizontal distance

and vertical distance that she has to go through?

ii Haris from SYCS society moved 4 units horizontally and

3 units vertically to meet a friend. What is the name of

Haris’s friend’s uniformed unit society? State the coordinate of

Haris’s friend.

b N eyla bought 2 m of blue ribbon. She also bought a red ribbon.
The length of red ribbon is 1 m more than the length of blue
ribbon. State the ratio of the length of blue ribbon to the length of
red ribbon.

c T he table shows the distance and travel duration of an
Electric Train Service (ETS) from Ipoh to Kuala Lumpur.

Distance 175 km
Duration 2 hours 40 minutes

What is the distance travelled by the ETS in 32 minutes?

d T he cost of a pair of trousers is 3 times the cost of a shirt. State the
ratio of the cost of a shirt to the total cost of the shirt and a pair
of trousers.

7.4.1 249

LUCKY LETTERS

Tools/Materials two dice (a-f and g-l), 12 question cards k b
Participants (scan QR Code), a Cartesian plane,
players’ answer cards, score sheet hl fa

4 pupils in a group and a referee

y Cartesian Plane example of question cards
6h l
State the letter on the
5b g point situated 4 units
4a c horizontally and 3 units
vertically from point g. e

3k ij Mass of a Mass of a
2d f packet of packet of

ciku langsat

2 kg 3 kg

1 State the ratio of the mass of

ex a packet of ciku to the total
1 2345
O mass of a packet of ciku and

langsat. c

example of players’ answer card example of the score sheet

Player’s name : Linda Round/ 1 2 3 Total

Letter The distance of Correct/ Answer of Correct/ player marks

a letter from the Incorrect question Incorrect Linda 5 10 5 20

origin card Sukri 10 10 5 25

c 1 unit horizontally  5:2  Wong 5 10 5 20
4 units vertically Kugan 5 5 5 15

e 3 units  Point d 
horizontally

How to play

1 T he first player throws one of the dice. Write the distance of the letter that
appears on the dice from the origin. 5 marks are given for the correct answer.

2 The referee gives a question that matches the letter.
3 The first player answers the question. 5 marks are given for the correct answer.
4 T ake turns to play until all question cards are answered.
5 T he player who scores the highest marks wins the game.

250 7.1.1, 7.2.1, • Scan QR code to print question cards from (a) until (l).
7.3.1, 7.4.1
• Determine players’ turn. Every question card that has been
answered correctly cannot be used again. Questions can be

modified according to pupils’ ability.

8 DATA HANDLING

INTERPRETING PIE CHARTS

1 SURVEY BY THE MATHEMATICS CLUB

title WAYS OF SK BUDI PUPILS
GO TO SCHOOL
14% of the
pupils in Car Bus sector
our school Bicycle 12% 52%
walk to 22% Most of the
school. pupils come to
Walking school by bus.
data in 14%
percentage

Yes, more than
half of them take

the bus.

a  % of the pupils go to school by bicycle.

b The difference in percentage between pupils who go to
school by car and by bicycle is  %.

Discuss other information that you
can get from the pie chart above.

The pie chart shows the distribution of data in the form of
a circle. The total percentage of the pie chart should be 100%.

• Gather a few pie charts from magazines, books, or newspapers. 251
8.1.1 • Ask pupils to interpret the information from the pie charts in groups

and present the outcome of each group.

2 Leisure Activities Among of 80 pupils a Find the percentage of
of Year 6 Monopoly.

10% 35% 100% − (10% + 35%
% + 22.5% + 17.5%)

17.5% = 100% − 85%
22.5%
= 15%
Key: Scrabble Chess Draughts
Monopoly Sudoku The percentage of
Monopoly is 15%.

b Calculate the number of pupils for the activity with
the highest percentage.

The game with the highest 35% of the pupils
percentage is Scrabble. play Scrabble.

7 4
35
35% of 80 pupils = 100 × 80 pupils

5
1

= 28 pupils

The number of pupils for the activity with
the highest percentage is 28.

c How many pupils play Sudoku?

The percentage of Sudoku is 10%.

10% of 80 pupils = 10 × 80 pupils
100

= 8 pupils

The number of pupils who play Sudoku is 8.

Is the difference between the number of pupils who play
Draughts and Chess more than 5? Discuss.

• Vary questions like finding the number of pupils for Draughts,
252 the difference between the number of pupils who play Sudoku and

8.1.1 Scrabble, and the total number of pupils for Draughts and Sudoku.
• Emphasise on daily time management so that the time to study is
more than the time to play.

3 Types of Favourite Books Calculate the percentage of comic fans.

Among Year 5 Dedikasi Pupils 6 out of 30 pupils love to read comics.

The fraction for comic fans is 6 .
30
Comic
6 2
6
The percentage of comic fans = 30 × 100%

Fiction 1

Non-Fiction 15 = 20%

9 The percentage of comic fans is 20%.

Is the percentage of fiction and
non-fiction book fans 80%? Prove it.

1 Favourite Sports of Study the pie chart on the left and answer
200 Pupils the following questions.
a W hat is the most favourite sport?
Badminton
Table 15% b What is the percentage of table tennis
tennis players?

Hockey Football c C alculate the number of hockey
20% 60% players.

d C alculate the difference between
table tennis players and badminton
players.

2 Answer the following questions based on the Favourite Colours
pie chart of favourite colours as shown.
a What is the percentage of red colour fans? 4 10
5
b Calculate the difference in percentage
between the blue and white colour fans. 5 8
8
c Is the percentage of black colour fans
12.5%? Prove it.

8.1.1 • Encourage pupils to create their own questions based on 253
the pie chart and ask their friends to answer the questions.

MODE, RANGE, MEDIAN, AND MEAN

1 Frequency, mode, and range of data

smallest Donation Amount Number of highest
donation value or (RM) Donors frequency
minimum value RM10 1
RM12 4
mode RM15 3
RM20 2
biggest donation RM25 1
value or

maximum value

Range is the difference The frequency of RM12
between the maximum donation is 4. RM12 is the
value and minimum value. mode because it has the
highest frequency. What is

the range of the data?

Sir, the range of the data
is RM15. RM25 minus
RM10 is equal to RM15.

Frequency is the number of a particular value in a set of data.
Mode is the value which appears most often in a set of data.
Range is the difference between the maximum value and minimum
value in a set of data.

14 13 13 15 12 13 10 15

What is the number in so that the set of data has the mode of 12?
State the range of the data.

254 8.2.1 • Explain the meaning of frequency, mode, and range based on set
of data available in newspapers, magazines, and the Internet.

2 This is the time recorded for Year 5
male participants from the Kenari
House in a cross-country run.

Time Recorded in a

Cross-Country Run Time Recorded in a
Cross-Country Run
Name Time 23 minutes
25 minutes
Zariq 26 minutes 26 minutes The pictograph
28 minutes represents the
Peter Tan 23 minutes 29 minutes data of the time
recorded on the
Hakimi 25 minutes represents 1 person left. We are going
to determine
Fazil 25 minutes the median and
mean for this
Harvinder 26 minutes
data.
Cheng 28 minutes

Amer 26 minutes

Ikhwan 29 minutes

Jason 26 minutes

a Arrange the data in ascending order.
23, 25, 25, 26, 26, 26, 26, 28, 29

The fifth data is located in the middle of the data.
So, the median is 26 minutes.

b Mean = 23 + 25 + 25 + 26 + 26 + 26 + 26 + 28 + 29 Total time
1+2+4 + 1+ 1 Total number
of participants

= (1 × 23) + (2 × 25) + (4 × 26) + (1 × 28) + (1 × 29)
9

= (23 + 50 + 104 + 28 + 29) Median is the value of the data
9 in the middle of a set of data
that has been arranged in
= 234 ascending or descending order.
9 Mean is the result obtained by
dividing the total value of a set of
= 26 data by the number of the data.
Mean is also known as average.
The mean is 26 minutes.

What is the mode and
range of the data above?

• Explain the meaning of median and mean. 255

8.2.1 • Guide pupils to determine the mode, range, median, and mean
from a different set of data.

3 The bar chart shows Number of pupils Daily Pocket Money Identify
daily pocket money the existing
for 10 pupils. 4 information.
Determine the:
3 RM4 RM5 RM6 RM7
a mode. 2
Value of money
b range. 1
0
c median.

d mean.

minimum highest maximum
value frequency value

a RM5 has the highest frequency, which is 4. The mode is RM5.

b Range = maximum value – minimum value
= RM7 – RM4
= RM3

The range is RM3.

c A rrange the data in descending order.

RM7, RM7, RM7, RM6, RM5, RM5, RM5, RM5, RM4, RM4 Calculate the

average of both

two data in the middle data in the middle
to obtain the
Median = RM5 + RM5 median.
2

= RM10 d Mean = the total value of money
2 = the number of pupils

= RM5 (2 × 4) + (4 × 5) + (1 × 6) + (3 × 7)
2+4+1+3
The median is RM5.

If 2 other = 8 + 20 + 6 + 21
pupils bring
RM7, does the 55 10
mode change? 10
=
Discuss.
= 5.5

The mean is RM5.50.

256 8.2.1 • Guide pupils to obtain important information from the bar chart
before finding the range, mode, median, and mean.

4 The pie chart shows the mass of Recycled Materials
recycled materials gathered by Gathered
10 pupils.
16 kg
State the: 10%

a mode. 14 kg 10 kg
40% 20%
b median.
12 kg
c mean. 30%

a Mass 10 kg 12 kg 14 kg 16 kg

Percentage 20% 30% 40% 10%

Number of 20 × 10 30 × 10 40 × 10 10 × 10
pupils 100 100 100 100

=2 =3 =4 =1

The number of pupils that gathered 14 kg of recycled
materials is the most.

The mode is 14 kg.

b Arrange the data in ascending order.
10, 10, 12, 12, 12, 14, 14, 14, 14, 16

Median = 12 kg + 14 kg
2

= 13 kg

The median is 13 kg.

c Mean = Total mass 2 other pupils
Total of pupils managed to gather

= (2 × 10) + (3 × 12) + (4 × 14) + (1 × 16) 10 kg of recycled
materials. Is the
2+3+4+1 median of the current
data equal to 12 kg?
= 20 + 36 + 56 + 16
Discuss.
10
128
= 10

= 12.8

The mean is 12.8 kg.

8.2.1 • Guide pupils to obtain important information from the pie chart 257
before calculating the range, mode, median, and mean.

1 Class Quiz 1 Quiz 2 Based on the table on the left, what
92 is the range of the marks of:
Alpha 78 90 a quiz 1?

Beta 82 91 b quiz 2?

Sigma 86

Theta 80 88

2 The pictograph shows the time taken Exercise Duration
by a few pupils to exercise in a day. 45 minutes
Determine the: 60 minutes
75 minutes
a range.
represents 2 pupils
b mode.

c median.

3 Number of archers Score of 10 Archers The bar chart shows the score of 10

5 archers.

4 a State the:
3 i mode. ii median.
2
1 b Calculate the mean.

0 23 4
1 Score

4 T he pie chart shows the Number of Beyblades
number of Beyblades owned
by 10 pupils. Calculate the: 1 Beyblade
10%
a range.
4 Beyblades 2 Beyblades
b mode. 40% 20%

c mean. 3 Beyblades
30%

258 • Conduct the ‟Try These” activity in groups. Ask each group to
discuss and solve the problems.
8.2.1 • Ask each group to present their calculations and guide the group

that faces problem.

SOLVE THE PROBLEMS Height in metre

1 The note shows the height of 10 pupils. 1.25, 1.25, 1.25, 1.30,
Find the range, mode, and median of 1.15, 1.30, 1.25, 1.25,
their heights. 1.30, 1.25

Understand the problem Plan the strategy

• There are 10 data of Arrange the data in ascending order.
the pupils’ height.
minimum • I dentify the maximum
• Find the range, mode, height range, mode, height
and median. and median.

Solve

1.15, 1.25, 1.25, 1.25, 1.25, 1.25, 1.25, 1.30, 1.30, 1.30

minimum height two data in the middle maximum height

Range = maximum height – minimum height
= 1.30 m – 1.15 m
= 0.15 m

The range is 0.15 m.

The highest frequency is 1.25 m which is 6 pupils.
The mode is 1.25 m.

The median is located at the fifth and the sixth data. Calculate the
mean of the data.
Median = 1.25 m + 1.25 m
2
2.5 m
= 2

= 1.25 m

The median is 1.25 m.

• Form a group of 10 pupils and collect the data of the pupils’ height. 259

8.3.1 Then, find the range, mode, median, and mean of the data.
• Conduct a Gallery Walk and discuss the steps of calculation made.

2 T here are 10 participants in a Science Number of participants Science Quiz Marks
quiz. The marks of each participant are 5
shown in the bar chart. Determine the: 4

a  range. 3
2
b mode. 1

c mean. 0 100 95 90 85 80
Marks

Understand the problem Plan the strategy
• T he marks of the 10 participants.
• Identify the:
Marks 100 95 90 85 80  maximum mark.
Number of 1 4 2 2 1  minimum mark.
participants  highest frequency.

• F ind the range, mode, and mean. • Arrange the data.

Solve • C alculate the total marks of
the 10 participants.

a The maximum mark is 100. b T he mark of 95 has
The minimum mark is 80. the highest frequency,
which is 4.
Range = 100 – 80
= 20 The mode is 95 mark.

The range is 20.

c The total marks
= (1 × 100) + (4 × 95) + (2 × 90) + (2 × 85) + (1 × 80)
= 100 + 380 + 180 + 170 + 80
= 910

Mean = 910
10
What is the median
= 91 for the data above?

The mean is 91.

260 8.3.1 • Guide pupils to understand the questions by looking for important
information from the bar chart.

3 The pie chart shows the number of Jelly Flavours in a
four jelly flavours in a container. Container

a What is the percentage of Kiwi Mango
kiwi flavour? 20 13

b C alculate the mean of each Strawberry Grape
jelly flavour. 22 25

Solution Kiwi Mango Grape Strawberry
20 13 25 22

? % 100%

Total up 20, 13, 25 and 22 to calculate the total number of jellies.
There are 4 jelly flavours.

a Number of kiwi flavour = 20 b Mean = total number of jellies
number of flavours
Total number of jellies
80
= 20 + 13 + 25 + 22 = 4

= 80 = 20

The percentage of kiwi flavour

1 25
20
= 80 × 100%

4
1

= 25%

The percentage of kiwi flavour is 25%.
The mean of each flavour is 20.

8.3.1 • Vary questions using the above information such as finding the 261
percentage of other jellies and find the mode.

Solve the following problems.
a T he table shows Syira’s savings in 10 days.

Savings RM0.50 RM1 RM1.50

Number of days 2 5 3

Find the range, mode, median, and mean.

b B en collected data of his friends’ mass. Mass of a Group of Pupils
He presented the data as shown in 28 kg
the pictograph. Determine the range, 30 kg
mode, median, and mean of his 32 kg
friends’ mass. represents 1 pupil

c T he bar chart indicates the marks Number of pupilsEnvironmental Quiz Marks
of Mr Shanker’s pupils for an
Environmental Quiz. 4
3
i What is the range of their marks? 2
1
ii I s the median of the marks for the 0 60 62 68 70
quiz equal to 62? Prove it.
Marks
iii Calculate the mean of the marks for
the quiz.

d T he pie chart shows the duration of Total Number of Hours
studying, in hours, for 10 pupils in of Studying in a Week
a week.
1 hour
i Determine the mode, median,
and mean. 10%

ii State the ratio of the number of 5 hours 7 hours
pupils who study for 7 hours to 20% 30%
the total number of pupils.
6 hours
40%

262
8.3.1

1 The pie chart shows the favourite food Favourite Food
of 10 pupils.
Chicken rice Biryani rice
a Calculate the number of pupils who 40% 30%
like chicken rice.
Fried rice
b Find the difference between the
number of pupils who like 30%
Biryani rice and chicken rice.

c What is the fraction of pupils who
like fried rice from the total number
of pupils?

2 The following is the volume of water brought by 9 pupils.

Wanie 800 m , Pauline 750 m , Imah 500 m , Airis 750 m , Prema 500 m ,
Noni 800 m , Jenny 750 m , Anita 500 m , Kogila 500 m

State the: a range. b mode. c median. d mean.

3 The pictograph shows the Jogathon Jogathon Donation
donation by a few donors. RM4
RM5
a How many people donated RM4? RM6

b Find the range, mode, median, represents 2 people
and mean.

c C alculate the percentage of donors who
donated RM4 from the total number of
donors.

4 T he bar chart indicates the monthly Number of pupils Monthly Savings
savings of 10 pupils of 5 Gemilang.
5
a Determine the range, mode, 4
median, and mean. 3
2
b State the fraction of pupils who 1
saved RM15 from the total number 0 RM10 RM15 RM20 RM25
of pupils.
Amount of savings

8.1.1, 263
8.2.1, 8.3.1

PAIR WORK ACTIVITY

Tools/Materials dice, A4 papers, pens

Task

1 Throw the dice 10 times.

2 J ot down the number on the dice for each throw on the A4 paper.

For example: 2, 3, 3, 4, 4, 1, 6, 3, 5, 1

3 Construct a table. Number on the dice 1 2 3 4 5 6
For example:
Frequency 2 1 321 1

4 F ind the range, mode, median, and mean.

GROUP ACTIVITY

Tools/ Materials task cards, body mass weighing scale, measuring tape,
Steps papers, pens, MS Excel/MS Word software

1 T he group leader votes for a task as shown below.

Task 1 Task 2 Task 3 Task 4

Collect the Collect the data Collect the data Collect the data
data of the of daily pocket of the body of the number
height (cm) of money of 10 of siblings of 10
10 friends. mass (kg) of 10
friends. friends. friends.

2 E ach group will record the data using suitable software such as MS Excel
or MS Word.

3 Find the range, mode, median, and mean by showing the calculation
in detail.

4 Present the outcome through Gallery Walk.

• Pupils are encouraged to construct a bar chart or pie chart to represent the

264 8.2.1, recorded data using MS Excel or MS Word software.
8.3.1 • The task questions can be varied based on the skills learned such as
interpreting the pie chart and problem-solving involving data management.

A Choose the correct answer.

1 W hich of the following statements is 9 2 34 m = cm

false? A 2.75 B 27.5 C 275 D 2 750

A 1 hour = 15 minutes 10 5 51 km + 0.7 km + 130 m = m
4
1
B 2 day = 12 hours A 6 030 B 6 080

C 1 year = 3 months C 6 330 D 6 580
4
1 11 16 170 m – 850 cm – 3.5 m = cm
2
D decade = 10 years A 452 B 470 C 722 D 785

2 Which is the correct match? 12 Which of these unit conversions
is true?
A 0.2 hour 3 months
A 4.5 kg = 450 g

B 0.25 day 6 minutes B 1.03 kg = 1 030 g
C 0.85 kg = 85 g
C 0.5 year 2 years D 14.2 kg = 1 420 g

D 0.1 decade 6 hours 13 4 41 kg = g

3 W hat is the difference between 5 days A 414 B 425 C 4 140 D 4 250
14 4 54 kg ÷ 100 =
10 hours and 2 days 15 hours? g

A 2 days 5 hours B 2 days 19 hours A 0.48 B 4.8 C 48 D 480
4
C 3 days 5 hours D 3 days 19 hours 15 8.5 + 3 21 + 90 m =
8 21 hours + 3 hours 37 minutes = A 12.09 B 12.9

A 11 hours 49 minutes B 12 hours 7 minutes C 13.09 D 13.9
C 11 hours 57 minutes D 12 hours 17 minutes
16 B ased on the regular pentagon
5 1 century 59 years − 0.12 century =
diagram, what is the

A 39 years B 47 years value of angle x?
A 95° B 103°
C 147 years D 171 years x
C 108° D 110°
6 What is the duration, in days, from

7 February until 15 May 2020? 17 3 cm Calculate the perimeter,
in cm, of the composite
A 97 days B 99 days

C 10 days D 103 days shape of the two

7 1.5 cm = mm D 150 regular hexagons.
A 0.015 B 0.15 C 15 D 0.018 A 30 cm B 33 cm
8 180 m = km C 36 cm D 39 cm
A 18 B 1.8 C 0.18
265

18 T he diagram shows a 23 The table shows the volume
composite shape of a square of grape juice in three jugs R,
and a right-angled triangle. S, and T.

4 cm 5 cm Jug Volume
R 9 680 m

3 cm S 5 41
Calculate the area, in cm2, of the T 4.5

diagram above.

A 31 cm2 B 28 cm2 C 24 cm2 D 22 cm2 What is the total volume of grape
19 2 41 hours =
A 125 minutes B 135 minutes juice in jugs R, S, and T?

A 19.43 B 19.53

C 145 minutes D 160 minutes C 20.43 D 20.53

20 W hich of the following statements 24 T he picture shows a straight road.

is true?

A 1 century = 5 years
2

B 1 century = 25 years
5

C 1 century = 30 years
4
5 lamp posts were installed in one
D 1 century = 10 years
10 line with equal distance between
one and another. The distance
21 Th e duration taken by Zaleha to between the first and the fifth
answer examination questions lamp post is 3 53 km. Calculate the

Section Duration

A 1.2 hours distance, in m, between the first
B 0.7 hour
and the second lamp post.
Calculate the difference in the
duration taken, in minutes, to answer A 720 m B 760 m

C 900 m D 950 m

Section A and Section B. 25 The diagram shows a composite
A 20 minutes B 30 minutes shape of cuboid M and cube N.

C 40 minutes D 50 minutes M N 4 cm

22 The volume of water in the
pail shown is the same as
the total volume of water R S

in 20 glasses of equal size. The volume of the composite shape

4 45 Calculate the volume of above is 224 cm3. Calculate the
water in each glass. length, in cm, of RS.

266 A 220 m B 230 m A 10 cm B 12 cm C 14 cm D 16 cm

C 240 m D 250 m

26 R ohaida’s age is 5.2 decades. Zira’s 30 T he diagram shows a pencil
age is 13 years older than Rohaida. case made by Kavi for the
What is Zira’s age? Mathematics project.
12 cm
A 38 years B 39 years 8 cm

C 65 years D 67 years 10 cm
27 P uan Norlia bought 3 21 kg of flour.
8 cm
She used 1.7 kg of flour to make

doughnuts and 580 g to fry chicken. 8 cm

What is the mass, in g, of flour left? 8 cm
What is the volume, in cm3, of the
A 1 022 g B 1 032 g

C 1 220 g D 1 320 g pencil case?

28 The table shows the volume of juice A 512 cm3 B 960 cm3
in two containers, X and Y.
C 1 024 cm3 D 1 472 cm3

Container Volume of mango juice 31 P uan Chin bought two rolls of

X 6 43   green and yellow curtains.
The total length of the curtains
Y 2.35 more than container X
is 29 41 m. The length of the
What is the volume of mango juice, green curtain is twice the length
in , in container Y?
A 13.5 B 9.1 C 11.45 D 15.85 of the yellow curtain. Calculate
the length, in cm, of the yellow

29 The Cartesian plane shows the location curtain.

of two cities, M and N. A 325 cm B 650 cm
y
C 975 cm D 980 cm
4N
32 T he bar chart shows the Science

3 marks of 10 pupils in Class 5

2 Number of pupilsHang Tuah.
1M
O 1 2345 x Science Marks

4
3

Calculate the horizontal distance and 2

vertical distance from city M to city N. 1

Horizontal Vertical 0 40 50 60 70 80
distance distance Marks
A 4 units 3 units
B 3 units 4 units Which of the following statements
C 4 units 2 units
D 2 units 4 units is true about the bar chart above?

A The range is 10.

B The mode is 4.

C The mean is 58.

D The median is 70. 267

B Answer the following questions. b M easure angle y using a
protractor.
1 The picture shows a number of blue
and red balloons. y

State the value of y.

State the ratio of: 6 T he diagram shows a
a the number of red balloons to the composite shape of a square
number of blue balloons. PQRS and a rectangle TUVW.
b t he number of blue balloons to S 15 cm R

the total number of red and blue

balloons. WV

2 S olve these. 5 cm
a 8  61 years + 2 years 7 months
P T4 cmU Q
= years months a Calculate the perimeter, in cm,
of the blue region.
b 5.3 decades − 3 54 decades b C alculate the area, in cm2, of
= decades years
the blue region.
c 0.32 century − 14 years = years
7 T he incomplete pictograph shows
3 a C alculate the product of 3.2 m by 85. the sale of ice creams for four
days.
State the answer in cm.
Monday
b 9 45 km ÷ 100 = m

4 a T he picture shows the Tuesday
volume of cooking oil in a
Wednesday
bottle. State the volume of
the cooking oil in m .
Thursday

b 6 52 ÷ 10 = m 3 34 represents 50 ice creams
The number of ice creams sold on
5 a N ame the polygon based on the

following characteristics: Wednesday is 125% of the number

of ice creams sold on Monday.

7 corners 7 straight sides of equal a Find the difference in the number

length 7 symmetrical axes of ice creams sold between

7 obtuse angles 14 diagonals Tuesday and Thursday.

b Calculate the sale of ice creams

on Wednesday.

268

8 T he picture shows a dialogue 10 The picture shows the mass of three
between two pupils. types of fish.

Good morning. When 4 45 kg

did your unit’s camping

start? We have been
here for 3 41 days.

4.65 kg 4 080 g

a Calculate the total mass, in kg, of

the three types of fish.

b C alculate the difference of mass

between the heaviest fish and the

We started camping on Monday at lightest fish.
10:00 a.m.. Our camping will end on
11 P uan Kalsom is 47 years old.
Wednesday at 12:00 p.m..

a Convert 3 41 days to hours. 7 years later, Naqiu’s age will be
b What is the duration of the
1 of Puan Kalsom’s age. What is
School Youth Cadet Corps’ 3
camping? Naqiu’s age now?

9 T he table shows the number of 12 T he diagram shows the travelling
green, yellow, and red marbles time by a postman from R to V.
in a box. The number of blue
marbles is not shown. 1 hour S 10 minutes
2 R
Colour Number of marbles 3 U 55 minutes
T 4 hour V

Green 108 H e starts from R at 8:20 in the
72 morning. What time will he reach V?
Yellow 30
Red
Blue 13 The incomplete table shows the
mass of bags D, E and F.
Complete the pie chart to
represent the percentages of Bag D E F
yellow, red, and blue marbles.
Mass 3 51 kg 5.08 kg

Green T he mass of bag F is 590 g less than
36% the mass of bag D. Calculate:

a the mass, in kg, of bag F.
b the mean mass, in kg, of one bag.

269

14 T he Cartesian plane shows the location 16 T he table shows the number of
of schools K, L and M. pupils in Class 6 Intan and 6 Emas.
y
Class Number of pupils
6
6 Emas Boy Girl
5 6 Intan 14 16
12 13
4L
M a Calculate the percentage of boys
in Class 6 Intan.
3 b I35notafnthaentdot3a1 lopfutphielstointaCllpausspi6ls

K in Class 6 Emas participated in a
camping activity. Complete the
2 pictograph below to represent
the number of pupils in Class 6
1 Intan and Class 6 Emas who
participated in the camping
O 1 2 3 4 5x activity.

a Tick  for the school that has
the same horizontal distance and
vertical distance from the origin.

School K School L School M The Number of Pupils in
Class 6 Intan and Class 6 Emas
b S tate the horizontal distance
and vertical distance from in the Camping Activity
school M to school L.
6 Intan
Horizontal distance units
6 Emas
Vertical distance unit
represents 5 pupils

15 Rita’s monthly salary is 3 of her 17 T he incomplete table shows the
4 History test marks for 10 pupils.

husband, Suresh. Their total salaries Marks 62 70 84 90

is RM6 300. Number of pupils 1 42

a Rita saves 20% of their total a H ow many pupils scored 70
marks?
salaries. What is the total salaries
b S tate the mode.
saved by Rita? c C alculate the mean marks for

b W hat is Suresh’s monthly salary? the 10 pupils. Then, state the
number of pupils who obtained
more than the mean marks.

270

a.m. An abbreviation for ante meridiem (antemeridian) meaning ‟before midday”

or morning.

amount A quantity of something, especially the total of a thing or things in the form of

number, size, value, or area.

angle The space between two intersecting lines, measured in degrees.

area The space occupied by a flat shape or the surface of an object.

ascending order Arrangement of numbers from the smallest to the largest.

axis of symmetry A line that divides a figure or polygon into two equal parts that are reflection

images of each other.

bar chart A chart that displays information or data using bars of the same width

horizontally or vertically displayed on the axes.

bonus An additional pay given to employees on top of their regular earnings.

buying on credit To purchase something with the promise that you will pay in the future.

The amount will be paid later in instalments with interest.

calendar A systematic schedule of the year that is divided into days, weeks, and months.

cash Banknotes or coins paid directly for purchasing goods and using services.

cash payments Paying for goods with money or debit cards without interest being charged.

century 100 years.

compound Addition of interest to the principal sum of a loan or deposit, and the interest

interest accumulated every year.

corner A place or angle where two sides or edges meet. Also known as vertex.

credit card A payment method that allows cardholders to pay for goods and services

without cash.

cube A three-dimensional shape with six square faces, 12 edges, and eight vertices.

cuboid A three-dimensional shape with six surfaces, some or all of which are

rectangular.

date A numbered day in a month, often given with a combination of the name of the

day, the month, and the year.

day 24 hours, from midnight to the midnight of the following day.

decade 10 years.

deposit A payable sum as a first payment on the purchase of goods and services, the

balance being payable later in instalments.

descending order Arrangement of numbers from the largest to the smallest.

dividend Distribution of profits by a corporation to its shareholders for investments in

business or shares.

duration The length of time from the start until the end of an event.

equilateral A triangle with all three sides equal in length and all angles are equal,

triangle measuring 60°.

frequency The number of occurrences of a value, subject, or an event in a given set of data.

horizontal Length measurement between two equivalent points or objects that is parallel to
the x-axis.
distance

instalments A sum of money paid as one of several equal payments for something, spread

over an agreed period of time.

interior angle The interior space between two straight lines at the common endpoint.

investment Monetary account for transactions with financial assets and the investor will earn

account profits in the form of dividend and bonus for a certain period.

271

leap year The year that has 366 days including February that has 29 days and it occurs
every four years.
loan A sum of borrowed money that is expected to be paid back.
maximum value The highest value in a set of data.
mean Result of adding all numbers in the set of data and then dividing the number of
values in the set. The mean is also the average of the set of data.
median The middle value or number in a set of data listed in order from the smallest to
the largest or vice versa.
minimum value The lowest value in a set of data.
mixed numbers A whole number and a proper fraction represented together.
mode The value or number which appears most often in a set of data.
p.m. An abbreviation for post meridiem (postmeridian) meaning ‟after midday”
or afternoon. The time from midday to before midnight.
pattern A repetitive order or arrangement of numbers or objects.
perimeter The length of the outer side of a diagram, shape, or area.
pictograph A graph constructed with pictures or symbols to represent a quantity or set of
data.
pie chart A circular chart divided into sections or fractions to represent different values in a
set of data or information.
prime numbers Numbers that can be divided by 1 and by itself.
protractor An instrument to measure angles.
range The difference between the highest and the lowest values in a set of data.
rate A mathematical term that shows the relationship between two quantities or
values of the same ratio.
ratio A comparison of two or more numbers that indicates their sizes in relation to
each other.
rectangle A quadrilateral having four sides, four corners, four right angles, each measuring
90º, and the opposite sides have the same length and are parallel.
regular polygon A two-dimensional enclosed shape made by joining three or more straight lines.
right-angled A triangle with three sides and one right angle, 90º.
triangle
round off A process to determine the value of a number using the nearest place value.
savings Money or thing not spent that is put aside for future use.
savings account The account that enables money to be saved or deposited. The interest for
the balance will be received without maturity date and will be credited to the
side account each month.
simple interest One of the lines, straight or curved, which encloses a two-dimensional shape.
An amount of money earned by a depositor on the money savings in the bank
square for a certain time.
A quadrilateral with four equal straight sides, four right angles, and all angles
vertex are 90º.
vertical distance The point where two lines meet to form an angle.
Length measurement between two equivalent points or objects that is parallel to
volume the y-axis.
The amount of space taken up by a solid, liquid, or gas.

272

BRAIN TEASER PAGE 74

59.2 + 45.97 − 62.17 = 43 (accept any reasonable answers)

UNIT 1 WHOLE NUMBERS AND OPERATIONS TRY IT AGAIN PAGE 88

1. a. 5 b. 10 21 c. 75 95 d. 92
7
BRAIN TEASER PAGE 3 14 3 8 1
2. a. 27 b. 8 c. 35 d. 12
503 142, 520 314, 531 024 and accept any reasonable answers.

BRAIN TEASER PAGE 9 3. a.  2130 b.  2495 c. 6 25 d. 3 1163

Y, X, Z, W

BRAIN TEASER PAGE 16 4. Number One Two Three
decimal decimal decimal
110 000 a. 6.2471 places places
b. 21.3895 place
BRAIN TEASER PAGE 18 c. 79.0546 6.25 6.247
6.2 21.39 21.390
975 300, 980 000 21.4 79.05 79.055
79.1
1 000 000

BRAIN TEASER PAGE 19

4 975 + 99 721 = 104 696 and accept any reasonable answers. 5. a. 18.119 b. 3.286 c. 310.716 d. 33.042 e. 103.353 f. 75.012
6. a. 12.388 b. 1 354.7 c. 4 541.45 d. 7.56 e. 1 009.6 f. 45 320
BRAIN TEASER PAGE 22 7. a. 6.453 b. 42.193 c. 0.507 d. 1.45 e. 5.914 f. 341.932
g. 8.47 h. 10.13 i. 6.732
499 312 8. a. 10 b. 100 c. 1 000 d. 1 000
9. a. 140% b. 275% c. 470% d. 550%
BRAIN TEASER PAGE 26

k = 129 430

BRAIN TEASER PAGE 27

k = 899 991 10. a. 1 130 b. 2 170 c. 4 12010 d. 5 210

BRAIN TEASER PAGE 31

4, 128 940 11. a. 25 b. 675

BRAIN TEASER PAGE 37 12. a. 110% b. 120%

106 145 13. a. TYhees.le61ng×th12o0f = 20 b. i. 1.265 ii. 1.27
c. the rope must exceed 12.192 m (6.096
BRAIN TEASER PAGE 42 m × 2) because the rope needs

6 × (RM17 + RM19) = RM216 to go up and down, and to be tied as well. The suggested length of the rope is 13 m.

BRAIN TEASER PAGE 44

(60 – 17) × 3 = 129 UNIT 3 MONEY

TRY IT AGAIN PAGE 60 BRAIN TEASER PAGE 95

1. a. one hundred twenty-five thousand and ninety-eight 1 000 × RM792.05 = RM792 050 and accept any reasonable answers.

b. six hundred forty thousand two hundred and three BRAIN TEASER PAGE 98

c. nine hundred thousand and seventy-one 1 000, RM701 090, RM701 090 ÷ 100 and accept any reasonable answers.

d. 206 081 TRY IT AGAIN PAGE 115

e. 415 007 1. a. RM123 223.45 b. RM112 740.50 c. RM672 310.90 d. RM54 002.90

2. Place Value Digit Value 2. a. RM236 199.30 b. RM397 843.95

a. ones 2 3. a. RM308 937 and RM225 430 b. RM7 084

b. hundreds 700 4. a. RM492 156 b. RM808 038 c. RM859 597.50

c. tens 0 d. RM901 895.40 e. RM638 250  f. RM730 400

d. thousands 3 000 5. a. RM19 341 b. RM52 174 c. RM1 923.40

e. ten thousands 80 000

f. hundred thousands 900 000 d. RM3 124.50 e. RM5 648.49  f. RM467.37

3. a. 90, 2 6. a. 100 b. RM329.45 c. 100 d. RM74 800

b. 500 780 7. a. RM22 011 b. RM45 860.90 c. RM675 321.15 d. RM793 032.95

c. 8 hundred thousands, 6 hundreds, 0 tens 8. a. RM48 982.80 b. RM5 659.65 c. RM695 407.15 d. RM3 831.40

d. 732 005 9. Across: Down:

4. 17, 41, 53, 73, 89 1. compound 3. simple 1. credit 6. cash

5. a. is more than 2. debt 4. savings 5. investment .
10. Buying on credit
b. is less than
Cash payment
c. is less than
No debt In debt
d. is more than
No interest Interest being charged
6. a. 309 050, 309 120, 309 415, 309 827 / 309 827, 309 415, 309 120, 309 050
Pay for the exact amount Pay extra than the original amount
b. 901 328, 904 825, 907 995, 910 650 / 910 650, 907 995, 904 825, 901 328
Payment by cash or debit card Payment by credit card
7. a. 620 199 or 620 200 and 620 202 until 620 209

b. 850 124 until 870 999 and 871 001 until 899 999 *Accept any other reasonable answers.

8 a. about 60 000 11. a. i. RM94 829 ii. RM175

b. approximately 30 000 g or 30 kg b. i. RM291.50 ii. Yes, the balance of his salary each month is RM1 529.30

9 a. 505 132, 505 136; ascending order in fours after paying for the instalment of education loan.

b. 198 680, 198 380, 198 280; descending order in hundreds c. RM1 062

c. 503 409, 703 409; ascending order in one hundred thousands d. Insufficient amount of money. Encik Mesut’s money shorts of RM800.

d. 849 007, 839 007, 819 007; descending order in ten thousands SELF-TEST PAGE 119

10. a i. 420 000, 400 000 ii. 280 000, 300 000 Section A

iii. 640 000, 600 000 iv. 1 000 000, 1 000 000 1. D 2. B 3. B 4. B 5. D 6. A 7. B 8. B 9. C 10. B 11. C 12. A 13. D
14. D 15. C 16. B 17. A 18. A 19. D 20. C 21. B 22. A 23. C 24. C 25. C 26. D
b. 759 609, 770 174, 803 125 and accept any other reasonable answers. 27. A 28. D 29. B 30. D 31. B 32. A 33. D 34. A 35. C

11. a. 808 069 b. 498 225 c. 492 486 d. 477 838 e. 751 428 f. 570 143

g. 102 094 Section B
1. a. hundred thousands
12. a. 647 300 b. 500 900 c. 312 000 d. 358 944 e. 365 187 f. 694 194 2. a. 584 279 b. 400 000 c. 393 000
3. a. 2 340 b. 487 312
g. 1 000 h. 1 680 i. 156 240 4. a. i. RM95 600 b. 600
ii. RM785 000 
13. a. 48 200 b. 7 540 c. 802 d. 168 027 e. 20 489 f. 3 429 b.

g. 2 978 remainder 90 h. 204 082 i. 20 795 remainder 3 j. 7 170 remainder 62 (RM16 560 + RM6 060) ÷ 3
= RM7 540
14. a. 170 322 b. 560 470 c. 111 491 d. 566 152

15. a. 18 b. 9 c. 249 d. 2 e. 60 f. 480 084

16. a. 122 b. 49 c. 657 d. 8 499 e. 2 079 f. 21 684

g. 31 682 h.18 680 i. 40 j. 3 391

17. a. 599 821 RM16 560 – RM6 060 ÷ 3
= RM14 540
b. i. Pakistan ii. 474 026 iii. 284 982

c. i. 531 120 ii. 6 639 (RM16 560 – RM6 060) ÷ 3 9
= RM3 500
d. y = 12

e. m = 6 5. a. Savings is money that is kept and used when needed. Investment is money used
for a specific business entity that gives profit in the future.
f. 15 + (5 × 30) = 165
b. Simple interest is an amount of money received by anyone who saved money
g. 127 in a bank within a period of time meanwhile compound interest is an interest
received from the savings and interest collected each year.
h. RM750
c. Credit is some money loaned by the financial institution. Debt is a loan needed to
UNIT 2 FRACTIONS, DECIMALS, AND PERCENTAGES be paid by someone.

BRAIN TEASER PAGE 72 273
Any decimal numbers between 8.450 to 8.549.

6. a. 60% b. 37 500 c. 4 375 7. a. 6 b. 25% 8. 1.2 kg / 1 51 kg TRY IT AGAIN PAGE 232
b. 0.25 m 10. a. RM701 100 b. RM43 700 1. a.
9. a. 2.05 kg / 2 210 kg interior angle
diagonals corner
UNIT 4 TIME

BRAIN TEASER PAGE 125

July, August

BRAIN TEASER PAGE 127

1 hour = 5 minutes
12
octagon
BRAIN TEASER PAGE 130 b.

1 10 decade = 1 year straight side

BRAIN TEASER PAGE 137 symmetrical axes

60.0 decades

BRAIN TEASER PAGE 139

1 decade, 10 years, 120 months

BRAIN TEASER PAGE 146

0.25

BRAIN TEASER PAGE 155 pentagon

15 minutes

BRAIN TEASER PAGE 161 2. a. r = 90° b. r = 135°

6.1 decades – 3.7 decades = 24 years or 6.1 decades – 2.4 decades = 37 years 3. a. 36 cm b. 28 cm

BRAIN TEASER PAGE 162 4. a. 17 m2 b. 7 000 cm2

3 5. a. 3 224 cm3 b. 17 496 mm3

5

TRY IT AGAIN PAGE 172 6. a. i. 216 cm3 ii. 1 296 cm3 iii. No. 1 296 cm3 − 216 cm3 = 1 080 cm3

1. a. 3 days 3 hours b. 52 days c. 54 days The volume of the remaining block is 1 080 cm3.

2. a. 12 minutes b. 1 hour 12 minutes c. 20 hours d. 174 hours b. i. 150 m2 ii. 50 m

e. 35 months f. 1 year 6 months g. 6 decades 9 years h. 137 years UNIT 7 COORDINATES, RATIO, AND PROPORTION

i. 35 decades j. 24 centuries 1 decade k. 5 centuries 75 years l. 823 years

3. a. 1121 hour b. 0.875 day c. 3 years 7 months d. 24 years BRAIN TEASER PAGE 237

e. 10 decades 4 years f. 39 decades g. 782 years h. 1 century 60 years a = 3 and b = 5 or 11

4. 42 minutes, 31 hours, 12 years BRAIN TEASER PAGE 240

5. a. 3 centuries 97 years b. 11 decades 9 years c. 8 centuries 5 decades a. 2 : 1 b. 1 : 7

6. a. i. 60 decades. ii. 5 centuries 99 years b. 41 months c. 3 centuries 10 years TRY IT AGAIN PAGE 248

7. a. 2 years 8 months b. 31 months c. 3 years 9 months 1. a. i. 4 units horizontal and 2 units vertical

5 ii. 2 units horizontal and 5 units vertical
6
8. a. i. hour ii. 35 minutes iii. 1 hour 5 minutes b. 1 hour 55 minutes iii. 6 units horizontal and 4 units vertical

c. i. 57 years ii. Yes. 130 years – 115 years = 15 years d. 2 days 6 hours b. 2 units horizontal and 3 units vertical

e. 14 days f. i. 10 years 6 months ii. 2023 c. 4 units horizontal and 1 unit vertical

g. 3 decades 1 year or 8 decades 5 years 2 a. 2 units horizontal and 1 unit vertical

h. i. P = 7 century, Q = 12 decades, R = 90 years b. 4 units horizontal and 1 unit vertical
10
3. a. 5 : 3 b. 4 : 13 c. 13 : 3

ii. Yes. 7 decades + 12 decades = 19 decades = 1 century 9 decades 4. a. 300 m or 0.3

b. 3 000 g or 3 kg

UNIT 5 LENGTH, MASS, AND VOLUME OF LIQUID c. 1.875 or 1 875 m

BRAIN TEASER PAGE 179 5. a. i. 3 units horizontal and 2 units vertical ii. Scout (0,3)

5 b. 2 : 3 c. 35 km d. 3 : 4
8
km

BRAIN TEASER PAGE 184 UNIT 8 DATA HANDLING

4 BRAIN TEASER PAGE 254

BRAIN TEASER PAGE 190 12, range = 5

1 , 1 or 6 , 5 TRY IT AGAIN PAGE 263

BRAIN TEASER PAGE 194 1. a. 4 b. 1 c. 3
10
p = 2, q = 5 2. a. 300 m b. 500 m c. 750 m d. 650 m

BRAIN TEASER PAGE 198 3. a. 6 b. range = RM2, mode = RM4, median = RM4, mean = RM4.60 c. 60%

0.4 kg = 1.2 kg ÷ 3 or 0.3 kg = 1.2 kg ÷ 4 2
5
BRAIN TEASER PAGE 208 4. a. range = RM15, mode = RM15, median = RM17.50, mean = RM18 b.
SELF-TEST PAGE 265
0.02

TRY IT AGAIN PAGE 213 Section A

1. a. 8 b. 325 c. 9.002 d. 17.03 e. 12.6 f. 45.009 1. D 2. B 3. B 4. B 5. C 6. B 7. C 8. C 9. C 10. A 11. B 12. B

2. a. 19.11 b. 832.1 c. 845 d. 7.055 e. 14.4 f. 46 000 g. 350 h. 7.609 13. D 14. C 15. A 16. C 17. A 18. D 19. B 20. D 21. B 22. C 23. A 24. C

3. a. 616 b. Yes. 135 cm or 1.35 m 25. C 26. C 27. C 28. B 29. A 30. D 31. C 32. C

4. a. 4.2/4 51 b. 3 900/3 190 c. 0.6/ 3 d. 8 700 /8 170 Section B
5
1. a. 3 : 4 b. 4 : 7 2. a. 10 years 9 months b. 1 decade 5 years c. 18 years
5. a. 0.65 b. 69 900 c. 6.99 d. 4 800 e. 0.081 f. 28.75 3. a. 27 200 cm b. 98 m 4. a. 3 750 m b. 640 m 5. a. heptagon b. 120°

6. a. 1 275 b. 11.29 c. 14.15 d. 22 228 e. 86 400 f. 8.092 6. a. 70 cm b. 205 cm2 7. a. 50 b. 500 8. a. 78 hours b. 2 days 2 hours

7. a. 1 699 g or 1.699 kg b. 0.67 9. a. b. 90

8. a. i. 0.85 m ii. 3.1 m b. i. 5 600 m ii. 12.09 km c. 1 Blue Green
4 30% 36%

d. i. 1.25 ii. 4 chocolate cakes @ 5 carrot cakes e. i. 2.5 cm ii. 3 cm

UNIT 6 SPACE Red Yellow 11. 11 years 12. 10:40 a.m.
10% 24%
BRAIN TEASER PAGE 220
right-angled triangle 10. a. 13.53 kg b. 0.72 kg or 720 g
BRAIN TEASER PAGE 226 13. a. 2.61 kg b. 3.63 kg
14. a. School K
School L School M


b. Horizontal distance 4 units horizontal

Vertical distance 1 unit vertical

Any combination of cube and cuboid that consists of 59 tiny cubes. The volume of the 15. a. RM1 260 b. RM3 600
composite shapes is 59 cubic units. Accept any other reasonable answers. 16. a. 48%
b. 6 Intan
274
6 Emas

17. a. 3 persons b. 84 c. 78.8, 6 peoples