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Published by MUHAMAD ABDUL SARID BIN SAID Moe, 2022-03-24 07:02:51

MATHEMATICS Y6 SK (SEMAKAN 2017)

MATHEMATICS Y6 SK (SEMAKAN 2017)

SOLVE THE PROBLEMS

1 Hana’s mother is cooking 1 54 of curd. She will pour it
equally into a few containers. Each container has a

volume of 130 . How many containers does she need?

Solution • 1 45 of curd is poured into containers with a volume of 130 each.
• Find the number of containers needed.
Understand
the problem

Plan the strategy

1 = 55 1 1 1 1 1 45 1 1 1 1
5 5 5 5 5 5 5 5 5

5 × 2 = 10 4×2 = 180
5 × 2 10 5×2

11 11111111 1 1111111
10 10 10 10 10 10 10 10
10 10 10 10 10 10 10 10 10 10

Solve Check

1 45 ÷ 130 = 6 × 130 = 6 × 3
1
10

1 54 ÷ 3 = 9 ÷ 3 = 18
10 5 10 10

32 = 1 180 ÷ 22
9 130 ÷
= 5 ×
= 1 54
11

=6

1 54 ÷ 130 = 6 The number of containers needed is 6.

If Hana’s mother poured 1 45 of curd equally into 9 containers, what is
the volume, in , of curd in each container? Discuss.

€€Carry out simulation on division of fractions for pupils’ understanding about the 93
2.5.1 concept of division of fractions.

2 The following pictures show two acrylic paintings bought by Puan Zeti.
Find the area, in m2, of the bigger painting.

0.8 m 16.4 cm

1.5 m 9 21 cm

Solution

Understand the problem The size of the bigger painting is 1.5 m long and
0.8 m wide. Find the area of the painting.

Plan the strategy area = length × width

area width
length
Solve m2
1.5 m × 0.8 m =

4 Check Step 2
Step 1
1 .5 m 1 .5
× 0.8 m 0.8 1.2 8 1 2.0
× 10 × 10
1 20 −8
+0 0 0 40

1 .2 0 m2 −4 0
0
1.5 m × 0.8 m = 1.2 m2

The area of the bigger painting is 1.2 m2.

2 × (9 21 cm + 16.4 cm) =
Is this the number sentence to find the perimeter for

the smaller painting? Prove it.

€€Guide pupils to find keywords in a question. 2.5.1
94

3 The Mass of Recycled Based on the incomplete
Materials Collected table, pupils in Class 6 Bakti
collected 150% of the mass of old
Mass newspapers collected by pupils in
Class 6 Jaya. Calculate the mass, €
Class Old Aluminium in kg, of old newspapers collected
by pupils in Class 6 Bakti.
newspapers cans

6 Jaya 23.56 kg 13.2 kg

6 Bakti kg 5.5 kg

Solution

Given • 6 Jaya collected 23.56 kg old newspapers.
• 6 Bakti collected 150% of the mass of old newspapers collected
by 6 Jaya.

Asked for What is the mass, in kg, of old newspapers collected by 6 Bakti?

Number sentence 150% × 23.56 kg = kg 123

Calculate 150% × 23.56 kg = 150 × 23.56 kg 2 3.5 6
100 × 1.5

= 1.5 × 23.56 kg 11

= 35.34 kg 11 780
+ 23 5 6 0
Check
35.3 4 0

6 Jaya 100% 1 1 .7 8 kg 11
6 Bakti 23.56 kg
2 2 3.5 6 kg 2 3.5 6 kg
23.56 kg 50% −2 + 1 1 .7 8 kg
03
−2 3 5.3 4 kg
15
23.56 kg ÷ 2 = kg −1 4
16
150% × 23.56 kg = 35.34 kg − 16
0

The mass of old newspapers collected by pupils in Class 6 Bakti is 35.34 kg.

What is the percentage of the mass of aluminium cans
collected by pupils in Class 6 Jaya compared to Class 6 Bakti?

€€Provide various problem-solving questions involving daily life situations. 95
2.5.1 €€Instil moral values such as love for the environment.

last seen today at 17:25

4 The picture shows the conversation Smart Science Group
among Norli, Madhuri, and Mei Hua.
How long did Mei Hua’s bean sprouts Norli
take to germinate?
My bean sprouts germinated
Solution in three and a half days.

17:20

Madhuri

Mine germinated 1 day more
than yours, Norli.

17:21

Mei Hua

Mine germinated 0.5 day
lesser than Madhuri’s.

17:22

Fill in the table with the information given above.

Name Time taken for bean sprouts to germinate

Norli 3 21 days
Madhuri 1 day more than Norli’s

Mei Hua 0.5 day lesser than Madhuri’s

How long did Mei Hua’s bean sprouts take to germinate?

3 21 days + 1 day – 0.5 day = days

Step 1 4 21 days = 4 days + 1 day
3 21 days + 1 day = 4 21 days 2
= 4.0 days + 0.5 day
Step 2
= 4.5 days

4 . 5 days
– 0 . 5 day

4 . 0 days
3 21 days + 1 day – 0.5 day = 4 days

Mei Hua’s bean sprouts took 4 days to germinate.

How do you check your answer? Discuss.

€€Guide pupils to find keywords such as more or less and show other € 2.5.1
96 problem-solving strategies such as drawing diagrams.

5 The picture shows the ingredients needed for Steamed Bun Recipe
making the dough of a steamed bun recipe. € (90 pieces)
Mak Jah wants to make steamed buns for sale.
How much more is the mass of wheat flour Dough Ingredients
✎ 3 kg of wheat flour

compared to the total mass of sugar and baking ✎ 3 kg of sugar
powder? 5

Solution ✎ 0.033 kg of yeast

✎ 0.03 kg of baking powder

• C3okgmopfawrheetahteflomura, 53sskgoof fwsuhgeaartafnlodu0r.0w3itkhgtohfebatoktinagl powder. ✎ 6 tablespoons of
• mass € vegetable oil

of sugar and baking powder to get how much more € ✎ 1.5 of water

is the amount of wheat flour.€

3 kg of wheat flour

How much more?

3 kg of sugar 0.03 kg
5 of baking

powder Check

3 kg – (35 kg + 0.03 kg) = kg 9 0.63 kg
2 10 10 − 0.03 kg
0.6 kg 9
2 10 10 3 . 0 0 kg 0.60 kg
5 3.0 kg − 2 . 3 7 kg
−0 3 . 0 0 kg
30 − 0 . 6 3 kg 0 . 6 3 kg
−3 0
0 0.60 kg 2 . 3 7 kg 0.6 kg = 6 kg
+ 0.03 kg 10

0.63 kg

= 6 ÷ 2 kg
10 ÷ 2

3 kg – (35 kg + 0.03 kg) = 2.37 kg = 3 kg
5

The mass of wheat flour is 2.37 kg more than the total mass of sugar and baking powder.

Sara uses 180% of water to make the dough. How much water, in , does

she use? What will happen to the dough? Discuss.

€€Guide pupils to understand the problem thoroughly and encourage them € 97
2.5.1 to draw diagrams to represent the problem.

LET’S DO IT

Solve the following problems.

a Nabil takes 3 hour to make a rubber band fan. Calculate
4
the number of rubber band fans he can make in €

2 41 hours.

b 62 25 kg of rice is filled equally into 12 sacks to be distributed to poor families.
What is the mass of each sack of rice received by each family? Give your
answer in fraction of kg.

c The table shows the estimated period Planet Estimated period for one
for one complete rotation of two planets complete rotation around
around the Sun. Find the estimated Mars
period, in years, for planet Jupiter € Jupiter the Sun
to rotate around the Sun. 1.88 years

6.3 times of Mars

d Puan Nita buys 8.4 of soya milk. She pours it into a few serving glasses. Each
glass is filled with 0.35 of soya milk. How many glasses Puan Nita need?

e The picture shows the length of three ribbons. Kim needs all

the ribbons for a handicraft project.

i Calculate the total length, in m, of all the ribbons. 1m
0.5 m
ii How much longer is the red ribbon compared 2 34 m
to the other two ribbons? Give your answer in
fraction.

f A talk on Dengue Prevention in town A took 1.8 hours.
The same talk in town B is 105% of the time taken in
town A. Find the time taken for the talk in town B.

g The initial target for gloves production in the first quarter of the year in a factory
is 1.1 million. In the end, 1.815 million of gloves were produced. What is the
percentage of the end production compared to the initial target of the gloves
production?

98 €€Pupils can check their answers using various methods. 2.5.1

LET’S PRACTISE

1 Divide.

a 1 ÷ 2 = b 5 ÷ 5 = c 2 25 ÷ 6 =
4 6

d 3 31 ÷ 50 = e 4÷2= f 7 ÷ 3 =
8 10
93

g 1 37 ÷ 3 = h 5 71 ÷ 6 = i 6 190 ÷ 3 =
5 7 8

2 Calculate.

a How many 1 are there in 7 ? b How many 1 are there in 1 21 ?
4 10 8

c ÷ 3 = 5 d 1 ÷ = 1
5 6 4 6

3 Solve these. b 0.71 × 6.7 =
a 0.8 × 1.35 =

c 9.58 × 6.3 = d 16.8 ÷ 3.5 =

e 1.881 ÷ 0.19 = f 0.09 ÷ 0.4 =

g × 8.6 = 31.39 h 2.7 × = 26.028

i ÷ 2.3 = 8.97 j 4.05 ÷ = 2.7 ADDITIONAL
PRACTICE

k Find the product of 7.5 and 4.08.

l T he quotient of two numbers is 30.1. If the divisor is 2.8, € SCAN ME
what is the other number?

4 Complete these.

a as 330% as 6.6
1.65

b 0.48 as as
120% of 0.4
250% × 0.64 800% × 0.34

2.1.1, 2.2.1, €€Provide more exercises with various levels in the form of worksheets for drilling. 99
2.2.2, 2.3.1, €€Scan the QR code for additional practice.

2.3.3

5 a Based on the pie chart, answer the questions. Free Time Activities for
i W hat is the total percentage of pupils who like Pupils in Class 6 Orbit
reading and surfing the Internet?
ii W hat is the difference in percentage between Gardening 5%
pupils who like swimming and gardening?
Swimming Internet
b Calculate. 30% surfing

i 9 1% + 4% + 206% = 20%
ii 1 05% – 68% – 25% =
Reading
45%

6 Find the values of the percentages. b 210% of 10.5 hours
a 125% of 8.4 m

c 108% × 7.4 kg = d 430% × 20.8 =

e 316% of 9.2 = 29.072€
Show the calculations for the number sentence above.

7 Calculate the percentage of achievement compared to the target.

a Target 1.2 km b Target 3.5 days
Achievement 4.9 days
Achievement 3.6 km

8 Find the percentages.

a 10.71 of 4.2 b 1.596 of 0.84

9 120..55 × 100% = 420%

Is this true? Prove it.

10 Solve these. b 2 × 0.15 ÷ 3 =
a 3 minutes + 4.2 minutes – 7 minute =
5
10
c 10 41 km – (6 km + 0.18 km) = d 27.6 kg + 30 × 1 51 kg =

f 9 58 ÷ 7 – 1.06 =
e 7 × 9.2 – 5 =
10 h (20 – 8 34) ÷ 7.5 =

g 13 21 + 14 ÷ 0.5 = j (30.46 – 18) ÷ (1 – 45) =

i (12 × 0.8) + (9 × 3 ) =
4

€€Guide pupils to do the calculations step by step. 2.3.2, 2.3.3,
100 2.4.1

11 Solve the following problems. 15.25 cm

a T he picture shows the size of a table flag.

Calculate the area, in cm2, of the flag. 30.5 cm

b N abilah cuts a wire of 3 34 m into 5 parts of equal length.
i Calculate the length, in m, of each part of the wire. State the answer in

fraction.

ii One part of the wire is cut into a few more pieces. The length of each small

piece is 1 m. How many pieces are there?
8

c

0.05 HANDWASH 25 1
Rose brand
HANDWASH Jasmine brand

Jasmine brand

Encik Liew buys 3 bottles of handwash as shown in the picture above.
Find the difference of volume, in , between the two bottles of Jasmine
handwash and a bottle of Rose handwash.

d Nelawati took 1.2 hours to bake a cake. Aida took 140% of the time
taken by Nelawati. Find the time taken by Aida in hours.

e T he incomplete table below shows the mass of organic vegetables
bought by Raju.

Vegetable Cabbage Broccoli

Week 1 2.1 kg

Week 2 1.8 kg 3.36 kg

i The mass of cabbages bought in week 2 is 0.9 kg lesser than €
in week 1. What is the percentage of cabbage bought in week 1
compared to week 2?

ii How many times is the mass of broccoli bought in week 2 €
compared to the mass of broccoli bought in week 1?

€€Carry out a Round Table session in each group to solve the problems above €
2.5.1 to enhance pupils’ understanding. 101

LET'S EXPLORE

Tools/Materials Question cards (2 sets), stopwatch, A4 papers, pencils,
number wheel and score sheets.

Participants 2 pupils and a referee.

EXAMPLE OF SCORE SHEET
QUESTION CARDS Name:

3 4.5 × 1.6 = _____________________
No. Marks + Bonus marks
4 1 32 ÷ 1 = 1. 10 + 5 = 15
4 2.
6 3.
5 1 QUESTION 4.
4 CARDS 5.
6.
3 Total marks: ______
2

How to play SCAN ME

1 Determine participants’ turns.
2 The first participant rotates the number wheel to get the number to a question.

3 Referee gives the question card and a sheet of A4 paper to the participant.

4 Participants are given 1 minute to answer the question.

5 10 marks are given for the correct answer. No mark is given for the wrong
answer. 2 marks will be deducted if the participant takes more than €
1 minute to answer.

6 A bonus of 5 marks will be given if the participant gives two methods €
of solution.

7 Take turns and the second participant repeats step 2 to 6. €
Each participant will take turns to answer all six questions.

8 Participant who collects the highest total marks, wins.

€€Prepare the materials for Let's Explore. Scan the QR code to print € 2.1.1, 2.2.1,
102 the question cards. 2.2.2, 2.3.2,
2.3.3, 2.4.1
€€Vary the questions involving fractions, decimals, and percentages €
according to pupils’ level of performance.

3 MONEY

RECOGNISE COST PRICE, SELLING PRICE, PROFIT, AND LOSS

1 Can you reduce Sorry, madam. The
the selling price cost price of 1 kg of
banana is RM4.20.
of 1 kg of this I only make a profit
of 80 sen from each
banana to RM4? kg. If I sell you RM4
per kg, I will make
Alright.
a loss.

Identify the cost price, selling price, and profit TIPS
in the situation above.
a T he cost price or the retailer’s buying price Cost price
The original price of
for 1 kg of banana is RM4.20. goods before being sold
b The selling price for 1 kg of banana to another person.
Selling Price
is RM5.00. The price of goods which
a buyer needs to pay.
c Profit = Selling price – Cost price
How do you calculate the
= RM5.00 – RM4.20 loss of 20 sen if the selling

= RM0.80 price is RM4? Discuss.

The profit for Profit is gained
selling 1 kg of when the selling
banana is 80 sen. price is more than

the cost price.

3.1.1, €€Discuss various situations to explain cost price, selling price, profit, and loss. 103
3.1.2 €€Instil moral values such as honesty when deciding the selling price, taking

into account the service charge and time involved.

2 a What is the cost price of the watch?

Cost price = Selling price – Profit

New model = RM950.50 – RM240
= RM710.50

Selling price: RM950.50 The cost price of the watch RM 9 5 0.50
Profit: RM240 is RM710.50 . – RM 2 4 0.00

RM 7 1 0.50

b Calculate the capital loss of the watch.

Loss = Cost price – Selling price

Stock = RM1 286.80 – RM1 100.50
clearance sale

2018 model = RM186.30

RM 1 2 8 6.80

– RM 1 1 0 0.50

Cost price: RM1 286.80 RM 1 8 6.30

Selling price: RM1 100.50 The capital loss of the
watch is RM186.30 .

TIPS When the selling
price is less than
Loss
Value of money that is the cost price,
decreased because the loss occurs.
cost price is higher than

the selling price.

€€Discuss the calculation of profit and loss that depends on the cost price and 3.1.1
104 the selling price. 3.1.2

€€Ask pupils to state profit or loss spontaneously based on the cost price and the
selling price mentioned.

3 The profit for both pianos below is the same. Prove it.

Cost price: RM9 000 Cost price: RM12 000

Selling price: RM10 800 Selling price: RM13 800
Profit = Selling price – Cost price Profit = Selling price – Cost price

= RM10 800 – RM9 000 = RM13 800 – RM12 000

= RM1 800 = RM1 800

The profit for both pianos above is the same, that is RM1 800 .

Profit TIPS
The money obtained from selling something

after subtracting the cost price.

4 Refrigerator Cost price Selling price Profit Loss
brand RM2 500 RM360

Visi

Moto RM2 000 RM1 800

Calculate the selling price of Visi refrigerator.
Selling price = Cost price + Profit
=+
=

The selling price of Visi refrigerator is .

The loss through selling of 5 Moto refrigerators is
RM1 000. Is this statement true? Discuss.

3.1.1 €€Drill the calculation of cost price, selling price, profit, and loss by carrying out 105
3.1.2 quizzes or simulation using picture cards.

LET’S DO IT

1 Calculate the selling price or the cost price.

a Cost price: b Selling price: RM102.90
Profit: RM38.50
RM49.50
Selling price:
Profit: RM25 350
Loss:
RM9 RM760.50

cd
Cost price:
RM4 699
Loss: RM250

2 Calculate the profit or loss. b Cost price: RM8 230
Selling price: RM7 895
a Cost price: RM20
Selling price: RM22

c Cost price: RM10 550.50 d Cost price: RM24 560
Selling price: RM12 668.80 Selling price: RM21 733.50

3 Encik Sufi is recording the sale of several goods in the table below. Calculate and
complete the table.

Goods Cost price Selling price Profit or Loss

Smartphone RM1 200 RM1 500 Profit RM300
Printer RM500 RM600
RM2 000 Profit RM400
Digital camera RM80 Loss RM4

Calculator
(stock clearance)

€€Carry out quizzes involving various levels of questions to reinforce pupils’ 3.1.1,
106 understanding. 3.1.2

RECOGNISE DISCOUNT, REBATE, AND VOUCHER

DISCOUNT

1 SHOP A SHOP B

How much RM80 − RM60 = RM20
discount do

we get?

Mum, we can How much can we
save RM20. save, mum?

a Calculate the discount value of the school bag Discount TIPS
in Shop B.
The reduced price or
20% of RM80 = 20 × RM80 value from the original
100
price or value.
= RM16

The discount value of the school bag in Shop B is RM16 .

b Calculate the price of the school bag after the discount in Shop B.
Price after discount = Original price – Discount

= RM80 – RM16
= RM64

The price of the school bag after discount in Shop B is RM64 .

In which shop was the purchase
smartly done? Discuss.

3.1.1, €€Ask pupils to give examples of discounts in daily life situations. 107
3.1.2 €€Discuss reasons why retailers offer discounts. For example, to boost sales.

€€Instil thriftiness among pupils when spending and to shop wisely.

REBATE
1

The total price is RM105,
but you only have to pay

RM100.

The rebate that
you got is on
this receipt.

Mum, why did Alright.
you pay only Thank you.

RM100? I got a RM5
rebate,
Kareena. AZ SUPERMARKET

DATE: 9 APRIL 2021 16:35

SHIRT 2 × RM23.50 RM47.00
TROUSERS 2 × RM29.00 RM58.00

QUANTITY 4 ITEM NO. 2

TOTAL PRICE RM105.00
REBATE RM 5.00

TIPS TOTAL PRICE RM100.00
Rebate CASH RM100.00

A deduction from the total THANK YOU. PLEASE COME AGAIN.
payment that has to be paid
or a partial refund from the
money after the payment.

€€Give other examples of rebates in daily life situations such as toll fare, 3.1.1,
108 purchasing cars, IRB tax, and Internet bills. 3.1.2

€€Discuss various types of rebates.

2 NORTH-SOUTH
EXPRESSWAY
During this festive season, we
have received toll fare rebate of N

10%. The usual amount VEHICLE TYPE CLASS TOLL FARE
is RM51.50.

DISTANCE KM
ENSURE SUFFICIENT BALANCE IN YOUR CARD

Calculate the toll fare after the 10% rebate.

Method 1 Method 2

Step 1 Step 1

10% of RM51.50 100% − 10% = 90%

= 10 × RM51.50 Step 2
100
90 9 × RM51.50
= RM51.50 100 × RM51.50 = 10 14
10
RM463.50 RM 5 1 .5 0
= RM5.15 = 10 ×9

RM 4 6 3.5 0

Step 2 = RM46.35

4 11 4 10 Calculate the toll fare after the 10% rebate
for all the other types of vehicles.
RM 5 1 .5 0
– RM 5. 1 5

RM 4 6.3 5

The toll fare after the 10% rebate is RM46.35 .

THINK State the percentage of rebate received
SMART and solve it.
(1 − 75%) × RM60 =

3.1.2 €€Guide pupils to find the values after rebate using various calculation methods. 109

VOUCHER b
a Dad, I received this

voucher.

I can use it to buy your
school supplies.

MAJU RM
BOOKSHOP
Mum, we can use this
GIFT VOUCHER voucher at Yummy

BOOK STATIONERY AUDIO Restaurant to celebrate That’s a good
Father’s Day. suggestion, Yip. We

can save RM12.

c d

WATER PARK RM Voucher

VOUCHER 10 RM5.00

if you spend RM50 and above in one receipt.

NIDA PHARMACY

VALID FOR 14 DAYS.

State the voucher’s Voucher TIPS
value and discuss
A small piece of paper which
its uses. entitles the owner to get a discount

or an exchange for goods.

€€Present various examples of vouchers in daily life situations. 3.1.1
110 €€Ask pupils to create vouchers using their own creativity if they are retailers.

LET’S DO IT b Original
price
1 Calculate the discount value.
a RM1 289
RM50 Promotional price
RM45
RM990.90
c RM536.70 d

Special price Normal
RM500 price

2 Complete the table. New price RM10 531
Original price RM9 Offer price
RM12 RM9 739

RM70 RM56 Discount
RM280 RM252 RM12 – RM9 = RM3
RM3 600 RM2 700
RM1 800
3 Calculate the rebate value. b Rebate 2%
a RM35 800
RM8
after rebate

WYW 2487

RM35 300

4 State the value of the voucher and its use. b
a FREE
VOUCHER

KITA SUPERMARKET

RM5

3.1.1, €€Discuss various terms that give the same meaning as discount such as special 111
3.1.2 price and offer price.

RECOGNISE INVOICE, BILL, RECEIPT, AND SERVICE TAX

INVOICE

I will send this invoice to the Alright. Please issue a
customer. The copy will be receipt after the customer
kept as a sales transaction
makes the payment.
record, sir.

Supplier’s name INVOICE
and address
KEMAS HOLDING

88, JALAN MAJU,
05400 ALOR SETAR.

TEL.: 04-7721515

Customer’s name INVOICE NO.: AS 1051 Invoice number
TO: and address DATE: 2 MAY 2022 Invoice date

JAYA KOMUNIKASI BERHAD
70, JALAN BAKTI 1,
05100 ALOR SETAR.

QUANTITY DETAILS PRICE PER UNIT (RM) TOTAL (RM)

8 UNITS SMARTPHONE AB 900.00 7 200.00

10 UNITS SMARTPHONE KK 650.00 6 500.00

20 UNITS SMARTPHONE SS 565.00 11 300.00

Payment Order TOTAL: 25 000.00
details Information SALES DISCOUNT (10%): 2 500.00
or goods
bought TOTAL PAYMENT: 22 500.00

TIPS

RINGGIT MALAYSIA TWENTY-TWO THOUSAND AND FIVE HUNDRED ONLY. Invoice

Supplier’s verification List of goods
or services
SIGNATURE/ COMPANY STAMP with the price
sent by the supplier
to the customer.

€€Guide pupils to identify the information that must be stated in the invoice. 3.1.1
112 €€Explain that invoice is a document that is sent by the product supplier or service

provider to the buyer.
€€Surf https://tinyurl.com/4v4jenye

BILL

May I have the bill, Just a
please? moment.

Name and WAFI RESTAURANT BILL
Business

Address NO 3, JALAN MUTIARA,
Date 48050 RAWANG, SELANGOR.

TEL.: 03-7951 1105

DATE: 10.5.2022 TIME.: 13:00:00
TABLE NO.: 6 NO.: 20792

NO. ITEM QUANTITY PRICE PER TOTAL This is the bill, sir.
UNIT (RM) (RM) Thank you.
1 FISH 1 20.00
20.00
2 FRIED 6 18.00
CHICKEN 3.00
1 13.00
3 VEGETABLES 3 13.00 4.50
3 1.50 4.50
4 RICE 1.50 60.00

5 BARLEY TOTAL (RM):

Information on ISSUED BY,
goods (items) or
TIPS
services
Bill
A bill is a detailed statement on the price

of goods or services received.

€€Discuss examples of bills in daily life situations, such as telephone bill and
3.1.1 electricity bill. 113

€€Instil moral value of paying bills according to the prescribed period and

checking the bill amount.

RECEIPT AND SERVICE TAX Here is RM100. The total payment is RM63.60.
This is the receipt and the
This is balance. Thank you.
my bill.

WAFI RESTAURANT RECEIPT Payment
NO 3, JALAN MUTIARA, time

48050 RAWANG, SELANGOR.
TEL.: 03-7951 1105

Receipt DATE: 10.5.2022 TIME: 13:05:00 Receipt
date TABLE.: 6 RECEIPT NO.: 107005 number

Information PRICE Calculate the value of the
on price, service tax on the receipt.
NO. ITEM QUANTITY PER TOTAL
service tax, UNIT (RM)
and
(RM) 20.00
balance
1 FISH 1 20.00 Service tax:

2 FRIED 6 3.00 18.00 6% of RM60
CHICKEN

3 VEGETABLES 1 13.00 13.00 6
3 1.50 4.50 100
4 RICE 3 1.50 4.50 = × RM60

5 BARLEY

TOTAL (RM): 60.00 = RM36
TAX 6% (RM): 3.60 10

TOTAL PAYMENT (RM): 63.60 =
CASH (RM): 100.00
36.40
BALANCE (RM):

THANK YOU, PLEASE COME AGAIN. TIPS

Calculate Encik Hamid’s balance. Receipt
RM100 – RM63.60 =
The receipt is an official
99
0 1010 10 statement that shows

RM 1 0 0.0 0 payment has been received.
– RM 6 3.6 0
Service Tax
RM 3 6.4 0
The tax that must be paid
RM100 – RM63.60 = RM36.40 for the services rendered by
certain businesses such as
Encik Hamid’s balance is RM36.40 .
restaurants.

€€Guide pupils to be a wise user by checking the price of every item to ensure the 3.1.1,
114 total price that is to be paid is correct. 3.1.2

LET’S DO IT

1 Complete the invoice below. 2 Complete the bill below.

INVOICE BILL
SYARIKAT CERGAS ENTERPRISE
PASAR JAYA HUSSEIN SDN. BHD.
B.12, BLOK A LOT F12, JALAN SEMARAH
88830, KOTA KINABALU, SABAH.
05400, ALOR SETAR, KEDAH.

TEL.: 088-711038 FAX: 088-711039 RICE 5 × RM26.00
E-MAIL: cergas@sabah.com 100620100

KEDAI WAJA INVOICE NO.: P015 MILK POWDER 4 × RM30.50
NO.11, JALAN BAKTI, DATE: 8 APRIL 2022 1004582001
TAMAN INDAH,
88838 KOTA KINABALU, TOWEL 6 × RM12.90
SABAH

PRICE PER QUANTITY: 15 ITEM NO.: 3
UNIT
QUANTITY DETAILS TOTAL

120 BALL RM4.00

40 RATTAN HOOP RM6.00

TOTAL

10% SALES DISCOUNT

TOTAL PAYMENT

3 Calculate the value of service tax below. b MENTARI HOTEL
Payment of hotel
a accommodation:
RM320
TN
Service tax (6%):
TICKET PRICE: RM10
SERVICE TAX: 6%

DATE:01/06/2022 HALL:10 CHAIR:25

c
CAR PARKING
RECEIPT

DURATION: 5 HOURS
1 HOUR: RM1.00
SERVICE TAX: 6%

€€Guide pupils to find answers through various methods. 115
3.1.2 €€Ask pupils to identify the features and differences between invoice, bill,

and receipt.

INTEREST AND DIVIDEND

INTEREST

I would like to deposit RM10 000 Alright, sir. The interest rate
for savings is 2% per annum.
in my daughter’s account for her
education in the future.

1 Calculate the interest received after saving for one year.

Date Deposit Withdrawal Balance
RM10 000
5 January 2021 RM10 000

5 January 2022 Interest

Interest value = Interest rate × Savings

= 2% × RM10 000

= 2 × RM10 000
100

= RM200

The interest value is RM200 . TIPS

How much is the Interest
balance on
Interest is an amount of
5 January 2022? Discuss. money received when €
an individual saves money
in a bank for a certain

period of time.

€€Instil moral values such as thriftiness and the importance of savings. 3.1.1,
116 3.1.2

DIVIDEND Mum, I won RM3 000 in a The dividend rate
logo design competition. is 4% per annum.

Congratulations, Razi! I will
invest this money in your
National Education Savings

Scheme (SSPN-i ).

a B ased on the statement below, how much dividend did Razi receive
after a year?

DEPOSIT TRANSACTION BANK SLIP BANK BRANCH AMOUNT BALANCE
DATE RECORD NUMBER CODE (RM) (RM)

1.1.2021 INFORMATION ----------- ------------------ ----------- 3 000.00

INITIAL BALANCE

DIVIDEND ----------- SSPN 9999

31.12.2021 FINAL BALANCE UPDATED

Dividend value = Dividend rate × Investment

= 4% × RM3 000

= 4 × RM3 000
100

= RM120
The dividend received by Razi after 1 year is RM120 .

b O n 31.12.2021, how much is Razi’s total balance?

RM3 000 + RM120 =

On 31.12.2021, Razi’s total balance is . TIPS

Is the number sentence below Dividend
suitable to find the answer in b ? Shared profits for
the money invested
104% × RM3 000 = in business or shares.
Discuss.

3.1.1, €€Emphasise that the dividend received will increase when the investment 117
3.1.2 company gains profit.

LET’S DO IT

1 Calculate the interest value or dividend below.

a WARTA BANK b SETIA BANK
Savings: RM8 000 Savings: RM50 000
Interest rate: 2% per annum Interest rate: 1.5% per annum
Savings period: 1 year Savings period: 1 year
Interest value: Interest value:

c UNIT AMANAH SAHAM d UNIT TRUST
Investment: RM5 000 Investment: RM20 000
Dividend rate: 7% per annum Dividend rate: 8% per annum
Duration: 1 year Duration: 1 year
Dividend value: Dividend value:

2 Help Pipi find her friend. The path is in ascending order by €
twenty-twenty. Calculate the interest value or dividend. State the path.

A F
Pipi Savings: RM2 000
Savings: RM6 000
Interest rate: 2% Interest rate: 1%

Start E G
Savings: RM4 000 Investment: RM3 000
B Interest rate: 2% Dividend rate: 3%
Savings: RM1 000
Interest rate: 2% D

Investment: RM2 000
Dividend rate: 5%

C H
Investment: RM1 500
Investment: RM5 000 Dividend rate: 8%
Dividend rate: 3%

118 €€Provide more questions and vary forms of exercises to suit pupils’ abilities. 3.1.1,
3.1.2

TRY IT OUT

Tools/Materials A4 papers, goods brochures, scissors, glue, and pens.

Participants 4 pupils in one group.

Task
1 Get pictures and information regarding the price of goods from goods brochures €

(printed or downloaded from websites) and download examples of receipts or bills
involving discounts or service tax.

2 Cut pictures using scissors and paste them on A4 paper. Make examples related to
cost price, selling price, profit, loss, discount, rebate, and service tax.

Discount value:
RM120 − RM90 = RM30

Selling price Percentage discount:
RM30
RM120 RM120 × 100% = 25%
RM90
Service tax:

6% × RM7 = 6 × RM7
100

= RM42
100

= RM0.42

3 Collect every group’s work in a scrapboo k.
4 Display the scrapbooks to be referred by other groups.
5 Write comments on sticky notes about ot her group’s work and paste them €

in the scrapbook.

3.1.1, €€Carry out assessments on pupils’ level of mastery from the aspects of 119
3.1.2 knowledge, communication skill, thinking skill, and soft skill, as well as attitude

and value shown in Try It Out activity.

RECOGNISE ASSET, LIABILITY, INSURANCE, AND TAKAFUL

ASSET AND LIABILITY

1 a

SPECIMEN

SPECIMEN

Cash House Savings Gold jewellery

Assets
b

BHE 9415 Educational loan Home loan
Liabilities
Car loan

What are the impacts if the liabilities are not paid up? Discuss.

2 I bought a car as my asset for TIPS

RM25 000 cash. I only got Asset
RM15 000 when I sold the car What is owned such as cash

after 3 years. and property.

Liability
Financial commitments

or loans.

120 €€Guide pupils to identify asset and liability. Discuss about profitable asset 3.1.1
such as a house.
€€Give other examples of assets that will depreciate such as a computer or
handphone. Explain that depreciation means a decrease in value.

INSURANCE AND TAKAFUL with the benefit of wakaf for FREE
1

What are insurance and takaful?

Insurance and takaful can protect us
if anything happens to ourselves, our
family members, or our properties.

Insurance Takaful
Buy and Sell Concept Contribution Concept

Buy Contribution
RM1 000 (donation)
RM1 000
Buyer Seller Contributor Agent

• Risks are borne by the • Risks are borne by the€
insurance company. participants in groups.

• Insurance premiums are owned • Contributions are owned by
by the company. takaful fund. The takaful operator
only acts as the fund manager.

• Subject to government laws. • Subject to Syariah laws and€
government laws.

• Non-syariah compliant. • Syariah compliant.

3.2.1 €€Guide pupils to recognise insurance and takaful based on brochures. Explain € 121
that takaful is an Arabic term derived from the root word “Kafala”, which means
to guarantee, protect, or look after.

2 Covering medical Coverage during travel such as €
expenses loss of assets or life

MEDICAL TRA

ORRDAFAFMICAGESEXAMPLES OF
THE USE OF VEL
INSURANCEFIR
AND TAKAFUL

E ACRCOIDAEDNTTS

Receive compensation € Claim compensation for €
due to house destruction car repair and injury €
due to accident

LET’S DO IT

1 What are insurance and takaful?

2 List down two importance of insurance and takaful coverage. Give examples on
how insurance and takaful can protect assets and the contributors.

122 €€Discuss the function and importance of various types of insurance such as 3.2.2
medical insurance, life insurance, education insurance, and vehicle insurance

using their respective insurance brochures.

SOLVE THE PROBLEMS

1 Puan Linda bought a house that costs €
RM230 000. After two years, she sold €
the house for RM285 000. How much is €
her profit?

Solution

Understand the problem

• House cost price: RM230 000
• House selling price: RM285 000
• Find the profit.

Plan the strategy Cost price Profit
RM230 000
Selling price RM285 000

Solve Profit = Selling price – Cost price

RM 2 8 5 0 0 0
−RM 2 3 0 0 0 0

RM 5 5 0 0 0

Check RM 2 3 0 0 0 0
+ RM 5 5 0 0 0

RM 2 8 5 0 0 0

Her profit is RM55 000.

If Puan Linda wishes to get a profit
of RM80 000, how much will the
selling price of the house be?

€€Guide pupils to understand the question by drawing diagrams to represent 123
3.3.1 the problem.

AFIFI FURNITURE SHOP

2 Puan Norma is reading a furniture
RM1 978 RM899 pamphlet as shown in the picture.
She has RM3 000 to buy one sofa
RM1 150 set and one bed. Is the money
enough to buy the two pieces of
furniture? Prove it.

SPECIAL Rebate RM50 for
OFFER every total purchase

of RM1 000.

Solution

Understand the problem

• Price of one bed: RM1 978
• Price of one sofa set: RM1 150
• Rebate RM50 for every total purchase of RM1 000.
• Is RM3 000 enough to buy one sofa set and one bed?

Plan the strategy

Price of one Minus Balance that
sofa set Total rebate must be paid
price
Price of
one bed Step 2

Solve Step 1 Purchase Rebate Step 3

11 RM 1 0 0 0 RM 5 0 10
RM 1 0 0 0 RM 5 0 2 0 12
RM 1 1 5 0 + RM 1 0 0 0 + RM 5 0
+ RM 1 9 7 8 RM 3 1 2 8
RM 3 0 0 0 RM 1 5 0 − RM 1 5 0
RM 3 1 2 8
RM 2 9 7 8

Yes, the money that Puan Norma has is enough € 3.3.1
to buy the two pieces of furniture.

Hanif has RM5 000. He bought all three pieces €
of furniture. What is his balance?

€€Create different situations involving profit or loss and ask pupils to solve it.
124

3 The table below shows the cost price and profit for 1 kg of vegetables.

Vegetable Cost price Profit

French beans RM5 RM1

Chilli RM8 RM2

A restaurant owner spent RM120 to buy the two types of vegetables. €
What is the mass, in kg, of each vegetable that he bought?

Solution

Understand the problem

• Cost price: RM5, Profit: RM1 • W hat is the mass, in kg,
of each vegetable?

• Cost price: RM8, Profit: RM2

Plan the strategy and Solve

Selling price Cost price Profit
is the cost Selling price of French beans:
price plus RM5 + RM1 = RM6

profit.

Cost price Profit
Selling price of chilli:
RM8 + RM2 = RM10

Use trial and error method.

Mass × price of Mass × price of

Trial French beans chilli Total expenditure

1 10 × RM6 = RM60 6 × RM10 = RM60 RM60 + RM60 = RM120
2 5 × RM6 = RM30 9 × RM10 = RM90 RM30 + RM90 = RM120

The restaurant owner have bought 10 kg of French beans and
6 kg of chilli or 5 kg of French beans and 9 kg of chilli.

€€Use various problem-solving strategies to reinforce pupils’ understanding. 125
3.3.1

4 The bill shows the goods bought by Amalina.
Amalina paid with 2 RM50 notes. She wants
to buy another 9 paint brushes. Calculate the
balance Amalina has after buying the extra
9 paint brushes.

Solution

Given (Cashier: Syaza)

• 2 dictionaries 2 × RM26.00 = RM52.00
4 files 4 × RM4.00 = RM1 6.00
5 paint brushes 5 × RM0.80 = RM 4.00
Total payment = RM72.00

• Amalina paid with 2 RM50 notes.

Asked for The balance after buying the extra 9 paint brushes.

Solve

Step 1

SPECIMEN SPECIMEN

SPECIMEN SPECIMEN SPECIMEN SPECIMEN

SPECIMEN SPECIMEN SPECIMEN SPECIMEN SPECIMEN Balance
RM28.
Step 2
Step 3
Price of 9 paint brushes = 9 × RM0.80
= RM7.20 7 10

Check RM20.80 + RM7.20 = RM28.00 RM 2 8.0 0
RM28 + RM72 = RM100 − RM 7.2 0

RM 2 0.8 0

The balance Amalina has is RM20.80.

€€Guide pupils to solve questions through simulation. 3.3.1
126

5 The table below shows some information from the invoice of goods bought €
by Encik Yunos.

No. Details Quantity Price per unit Total
1 Jersey 60 RM25.00

2 Cap 100 RM9.80

Sales discount 10%

The total amount of money to be paid

Encik Yunos received the invoice from Wawasan Company.
a Calculate the value of the discount.
b How much is the total amount to be paid by Encik Yunos?

Solution

a • The price per unit of a jersey is RM25. • The price per unit of a cap is RM9.80.
• The number of jerseys bought is 60. • The number of caps bought is 100.

Price of jerseys: 60 × RM25 = RM1 500
Price of caps: 100 × RM9.80 = RM980

Total payment: 1 Value of discount = 10% × RM2 480
RM 1 5 0 0
= 10 × RM2 480
+ RM 9 8 0 100
RM 2 4 8 0
= RM248

The discount is RM248.

b The total amount to be paid = Total payment – Value of discount

7 10

RM 2 4 8 0
− RM 2 4 8

RM 2 2 3 2

The total amount to be paid by Encik Yunos is RM2 232.

Can the total amount to be paid be solved using this €
number sentence? Discuss.

90% × RM2 480 =

€€Discuss various problem-solving strategies such as simulation. 127
3.3.1

6 Halim’s family went on a holiday and stayed at Ria Hotel for 2 nights.
The room rate for a one-night stay is RM280. The service tax was
charged at 6%. Calculate the payment for a two-night stay inclusive of
service tax.

Underline the
important information

in the question.

Solution

Room rate for a one-night stay is RM280.

Room rate for a two-night stay: 2 × RM280 = RM560

Service tax payment: 1060 × RM560 = RM336
10

= RM33.60

Total payment = Room rate (2 nights) + Service tax payment

RM 5 6 0.0 0
+ RM 3 3.6 0

RM 5 9 3.6 0

Check

RM593.60 – RM560 = RM33.60

RM33.60 × 100% = RM3 360 %
RM560 RM560

= 6%

The rate for a two-night stay inclusive of €
service tax is RM593.60.

Halim was given 5 food vouchers of RM10 each. He used the vouchers €
at the hotel restaurant. He was given a bill of RM90.65. Halim gave RM100

to the cashier. How much money should be returned? Discuss.

128 €€Guide pupils to find keywords and construct the correct number sentence € 3.3.1
to solve the problem.

7 The diagram below shows the record of assets and liabilities owned by
John and Jenny. The annual income for both of them is the same, which
is RM81 999.

John Jenny
Fixed deposit : RM90 000 Jewellery : RM20 000
Credit card debt : RM1 500 Car (bought cash) : RM55 000
Car loan : RM25 000 Education loan : RM18 000

a Calculate their total assets.
b How much is the difference in liability between them?

Solution John Jenny
Name RM90 000 RM20 000 and RM55 000
RM1 500 and RM25 000
Make a Asset RM18 000
table. Liability

a John’s and Jenny’s assets

RM 9 0 0 00 Check
RM 2 0 0 00 RM165 000 – RM55 000 – RM20 000 = RM90 000
+ RM 5 5 0 00
RM 1 6 5 0 00

Their total asset is RM165 000.

b Liability

John: RM1 500 + RM25 000 = RM26 500€
Jenny: RM18 000

1 16 Check
RM8 500 + RM18 000 = RM26 500
RM 2 6 5 0 0
− RM 1 8 0 0 0

RM 8 5 0 0

The difference in liability between them is RM8 500.

John is wiser in managing his finance. Discuss.

€€Instil moral values such as the importance of savings, spending money 129
3.3.1 wisely, and avoiding loans as well as to settle any loan.

8 Aira won a cash prize of RM10 000 in a patriotic songwriting competition. Aira
saved RM6 000 in a bank and the balance was invested in a unit trust for €
her education in the future. She received a savings interest of 2% per annum.
The dividend rate from her unit trust is 8% per annum. Calculate the dividend
after a year.

Solution

Important information
• The total amount of money is RM10 000.
• Savings in the bank is RM6 000 with an interest of 2% per annum.
• The balance was invested with a dividend of 8% per annum.

I draw a diagram.

RM10 000

RM6 000 RM4 000

Savings Invest and get 8% dividend per annum

8% × RM4 000 =

Dividend: 8% × RM4 000 = 8 × RM4 000
100

= RM320

Check

RM320 × 100% = 8%
RM4 000

8% × RM4 000 = RM320

The dividend received after a year is RM320.

The savings interest received by Aira is €
RM120 per year.

Is the statement true? Prove it.

€€Guide pupils to identify keywords and solve the problem through other 3.3.1
130 strategies such as simulation.

LET’S DO IT RM600

Solve the problems below.

1 The picture shows the selling price of a bicycle. The cost €
price of the bicycle is RM500.

a Calculate the profit from the sale of the bicycle.
b I f the retailer wants to get a profit of RM180, €

how much is the selling price of the bicycle?

2 A shopkeeper loses an amount of RM1 020 after selling 4 of the same model of
handphones. The cost price of one handphone is RM829. How much is the selling
price of one handphone?

3 The table below shows two items that are sold in a boutique. The profit for both
items is the same. How much is the cost price of a pair of shoes?

Item Cost price Selling price

RM1 000 RM1 300

RM1 000 Clearance
sale
4 The picture shows the price of a massage chair at a
clearance sale. Encik Liew will lose RM300 if he sells Selling price
the massage chair for RM2 700. If Encik Liew RM2 700
wants to gain a profit of RM400, how much is the
selling price of the massage chair?

5 The picture shows the cost price of two types €

of baju kurung. Miss Ros makes a profit of

RM15 for baju kurung Kedah and RM30 for baju

kurung Pahang. The sales revenue that Miss Ros

obtained is RM360. How many pieces of each

type of baju kurung might have been sold? Baju kurung Baju kurung
Kedah Pahang

RM30 RM60

€€Remind pupils to identify keywords to construct correct number sentence. 131
3.3.1

6 The picture shows the selling price and the

percentage of discount for an air conditioner.

Puan Ida wants to buy 2 air conditioners. RM2 150
Calculate the total amount of money that Discount: 20%

she can save. COPY Jaya Stationery Supplier, INVOICE

7 The incomplete invoice on the right 6, Jalan Makmur,
shows two goods that have been
bought. 43800 Dengkil,

a How much is to be paid if a 10% To: Selangor. Invoice No.: AT402
sales discount is given? Book Store Z, Date: 3.11.2022
Lot 41, Wisma Ilmu,
50460 Kuala Lumpur.

No. Details Quantity Price per unit Total
(RM) (RM)

b T he cost price of an exercise book is € 1 Dictionary 30 28.00
80 sen. How much is the profit for all € 90 1.50
2 Exercise
book

the exercise books sold?

8 Adi has RM500. Adi and his friends each bought a set of food at a restaurant.

Each set costs RM17.50. Adi paid for their food which is inclusive of 6%

service tax. Calculate Adi’s balance.

9 Felix bought three goods as shown € KITA NO.11, JALAN MAS,
in the bill. BOOKSHOP TAMAN INDAH,

a C alculate the total price to be paid. 52100 KUALA LUMPUR.

b R M10 rebate is given to every RM100 PRINTER INK 5 × RM42
10 X1R0M×7 RM7
purchase. How much is the total rebate PEN
BOOK 8 × RM9
received by Felix?
ITEM NO.: 3
QUANTITY: 23

TOTAL PRICE:

10 The table shows the savings account statement for Dina.

Date Withdrawal Deposit Interest Balance

1.9.2021 – RM200 – RM5 000

1.9.2022 – –

The interest rate given by the bank for the savings is 2% per annum.
Calculate the total amount of money saved by Dina on 1.9.2022 after
receiving the interest.

€€Discuss various problem-solving strategies such as simulation and try simpler 3.3.1
132 questions.

LET’S PRACTISE

1 Calculate and complete the table below.

Selling price Cost price Profit or loss Profit or loss value
RM150 RM130 Profit RM20

RM90 RM112

RM725 RM580

RM60 RM80

RM360 RM300

RM27 RM32.50

2 Complete the table below.

Item Cost price Selling price Profit Loss
Rice cooker RM360 RM860 RM90 none
RM70 none
Vacuum none RM50

Decorative lights RM800

3 Calculate. b
a

Selling price: RM2 800 Selling price: RM4 500
Discount: 10% Discount: 20%
Discount value: Price after discount:

c d

Selling price: RM4 129 Selling price: RM400 000
Cash rebate: RM50 Rebate: 2%
Price after rebate: Price after rebate:

3.1.1, 3.1.2 €€Provide more questions to reinforce pupils’ understanding. 133

4 Complete the information for part of the invoice given below.

Quantity Details Price per unit (RM) Total (RM)
50 rims A4 paper 8
40 pieces 3
100 books File 12
Pocket dictionary
Total

Sales discount (10%)

Total payment

5 a Complete the information on the entrance ticket to a water theme park below.

Quantity Description Price (RM) Free vouchers on spending:
2 Adult MyKad 230.00
3 Children MyKid 270.00 RM100 and above RM10
RM300 and above RM30
Date: 6.6.2022 Total: RM500 and above RM50
Service tax 6%:
Total payment: Validity date from €
7.6.2022 until 30.9.2022

b How much is the value of the voucher that will be received?

6 Solve these. Account Period Total Effective Maturity
a Date No. (months) investment date date

1.10.2021 B110114 12 RM10 000 1.10.2021 1.10.2022

Calculate the value of dividend obtained with an interest rate of €
9.5% per annum upon maturity date.

b Date Account No. Withdrawal Deposit Balance

1.3.2022 140630205276 - RM8 000 RM8 000

Calculate the savings interest for one year if the interest rate is €
1.5% per annum.
7 Calculate the total asset value and the total liability value from €
the information below.

• House: RM128 000 • Education loan: RM16 000
• Credit card debt: RM7 460 • Fixed deposit: RM20 000
• Cash money: RM2 500 • Car loan: RM40 000

€€Encourage pupils to discuss with peers to build self-confidence in order € 3.1.2
134 to understand the questions and find solutions.

8 List down three importance of insurance and takaful coverage.
9 Solve the problems.
a I n an exhibition, a portrait priced at RM10 850 was sold at a discount of 12%. €

i How much is the value of the discount?€
ii How much is the selling price of the portrait?

b The table below shows the total assets and liabilities of Puan Ain and €
Puan Maryanti. The annual income for both of them is the same.€

Name Puan Ain Puan Maryanti
Asset RM125 108 RM209 400
Liability RM37 264 RM121 901

Who manages their finances better? Prove it.

c P rakash deposited RM3 500 into his account at Yakin Bank. He received an

interest rate of 2% per annum. Calculate the total amount of Prakash’s savings
after one year.

d Tropica Golf and Resort Tropica Golf and Resort
NON-CLUB MEMBER
CRML1U00BrebMateEwMith B€ ERDiscount
RM50 rebate with € Discount
a minimum expenditure
10%a minimum expenditure€
20%of RM1 000.
of RM1 000.

The information above shows a promotion for a golf competition. €
Puan Syarifah is a golf club member. Puan Goh is not a member. Both of
them spend RM1 000 respectively. They receive the rebate and also the
discount. Calculate the difference in payment for both of them.

e T he information on the right shows a 30% Discount
promotion at Sedap Bakery. Hui Li went to after 8:00 p.m.
the shop at 8:30 in the evening. She had
RM10. Was the money enough to buy the RM2.50 RM4.50 RM8.00
three goods? Show the calculations.

f Fara paid RM50 together with 2 vouchers to the cashier for a handbag. €
The price of the handbag is RM120. The cashier returned RM10 to Fara. €
State the possible value of each voucher.

3.2.1, 3.2.2, €€Provide simpler questions on problem-solving skills. 135
3.3.1

LET'S EXPLORE QUESTION
CARDS

Tools/Materials Question cards, papers, pens, and play money.

Participants 4 pupils in one group and one referee. SCAN ME

Referee

Cost price: RM120 Total price: RM150 Book price: RM12
Selling price: RM165 Service tax: 6% Discount: 10%
Profit: Service tax value: Discount value:

Total price: RM1 230.90 Investment: RM5 000 and
Rebate: RM50 Dividend: 5% per annum protect assets and
Total payment: Dividend value: contributor.

How to Play

1 P repare four stations. Place a paper and pen for calculations at each station.
2 Place four question cards of the same questions at each station. Invert all

the question cards.
3 P articipants from each group will take turns answering the questions

simultaneously. Participants will be given play money if the answer
is correct. The value of money depends on the level of speed while

answering.

Level of speed 1 2 3 4

Value of money RM10 RM7 RM5 RM2
received

Money is not given if the answer is wrong.

4 Repeat steps 2 and 3 to find a group that manages to collect the play money

of RM30.

€€Provide more question cards. Provide more stations according to the number 3.1.1,
136 of pupils. The questions can be modified according to pupils’ abilities. 3.1.2,
3.2.1
€€Scan QR code to print question cards.

SELF-TEST

A. Choose the correct answer. 10. + = 20

1. One million sixty thousand one Two composite numbers to complete
the number sentence above are …
hundred and one in numerals is .

A. 160 101 B. 160 110 A. 15, 5 B. 13, 7
C. 1 060 101 D. 1 060 110
C. 12, 8 D. 11, 9

2. 4 83 million = B. 438 000 11. 3 51 – 0.75 + 1 = B. 2 290
A. 437 500 D. 4 380 000 A. 2 41
C. 4 375 000
C. 3 210 D. 3 290
3. 120% =
B. 1.2 12. Which set is of prime numbers?
A. 1.02 D. 0.012
C. 0.12 A. 1, 3, 5 and 7 B. 2, 5, 6 and 9
C. 11, 13, 15 and 17 D. 41, 43, 47 and 53
4. Which of the following is true?
13. 4 ÷ (190 – 0.4) = B. 6
A. 3.08 = 380% B. 5 = 50% A. 8 D. 0.125
C. 4.2 = 402% D. 6.5 = 650% C. 0.25

5. Which of the following is a composite 14. 90.5 – 32 × 4 =
number? 5

A. 5 B. 21 A. 75.1 B. 64.9
C. 47 D. 89 D. 46.8
C. 54.8
6. 2 951 000 + 1 million + 1.06 million
= 4 15. 4.5 million ÷ 5 + 1 million =
10

A. 4.261 million B. 4.161 million A. 9 100 000 B. 1 900 000
C. 4.151 million D. 3.207 million
C. 1 000 000 D. 100 000

7. 320% of 4.7 km = 16. 5 million – 25 000 – 0.1 million =
8
1 1
A. 7.9 km B. 15.04 km A. 2 million B. 4 million
C. 23.68 km D. 36.7 km
1 1
8. 4.8 × 4.25 = C. 5 million D. 8 million

A. 5.1 B. 20.4 17. 4 92 ÷ 2 =
C. 204 D. 510 3

9. 259.16 ÷ 9.5 = A. 3 B. 3 247
19 D. 6 31
A. 27.108 C. 4 31
C. 27.18 B. 27.208
D. 27.28

137

18. Selling price Loss 24. 12 + 4.8 ÷ 1 =
8
A. 50.4 B. 39.6
RM3 195 RM218 D. 2.1

C. 12.6

Calculate the cost price of the 25. 170% of 2.6 = B. 4.42
refrigerator based on the table above. D. 44.2
A. 4.24
C. 42.4

26. 3 million + 0.5 million = 1 million +
4
A. 250 000 B. 125 000
A. RM2 977 B. RM3 183
C. RM3 303 D. RM3 413 C. 25 000 D. 12 500

19. 2.1 million – × 4 = 1 million 27. Solve these. 4
2 5
960 000 – (0.03 million + p) = million
What is the value in ? What is the value of p ?

A. 1 million B. 2 million A. 130 000 B. 160 000
5 5
3 5 C. 190 000 D. 480 000
8 8
C. million D. million 28.
Cost price: RM1 200
20. Which of the following gives the

quotient of 1 ? Profit: RM300
12

A. 1 ÷ 1 = B. 1 ÷ 1 =
2 6 3 4

C. 6 ÷ 1 = D. 1 ÷ 4 = How much is the selling price of
2 3 4 handphones?

21. Calculate the percentage for 1.2 hours A. RM3 600 B. RM4 700

of 0.4 hours. C. RM4 900 D. RM6 000

A. 0.3% B. 3.0% 29. Encik Sufi wants to buy a laptop.
C. 30% D. 300%

22. How much must be added to Selling price: RM2 680
2 21 million and 0.04 million to make Discount: 20%
5 million?

A. 2 000 000 B. 2 460 000
How much is the price of the laptop
C. 3 640 000 D. 7 640 000
after discount?
23. 190 million – (0.45 million +  )
= 324 000
A. RM536 B. RM2 144

What is the value in ? C. RM2 156 D. RM2 660

A. 576 000 B. 541 000

C. 126 000 D. 116 000

138

B. Solve the following questions. 7. fReewkhgalapssoeusr.sE1a 21c h golarasnsgceonjutaicinesi n 81to a
1. The following are a few number cards. orange juice. How many glasses are

13 9 7 35 43 81
List all:
a prime numbers. needed?

b composite numbers. 8. A factory produces 7 million of hand
10
2. The following are three number cards
R, S, and T. sanitiser bottles. 0.208 million of the

1 sanitiser bottles were sent to North
8
0.18 million million 80 000 Zone and the balance to South Zone.
R S T
Calculate the difference in the number

a W hich card has the largest value? of hand sanitiser bottles received by

b C alculate the difference between the two zones.

the largest value and the smallest 9. The table below shows the number
of vehicles passing through four
value. highways during festive season.

3. Solve these. Highway

a 5 51 ÷ 4 = b ÷ 2 = 16 P QR S
5

4. Calculate. 85 million 2.5 times of
highway Q
a (3 – 1 25) ÷ 0.8 = 1.6 million 250 000
b 4 170 + 2.95 × 7 =
a C alculate the total vehicles passing
c 185% – 98% = through highways P, Q, and R.

5. Complete the table below. b T he number of vehicles passing
through highways R and S is the
Unit Investment Rate of Value of same. Is the statement true?
Prove it.
trust dividend dividend
10. Selvam has to pay a hospital bill of
P RM4 000 6.5% RM1 200. He was subjected to 6%
service tax for the bill.
Q RM5 000 7%
a C alculate the value of the service
6. Based on the number line below: tax.

p 2 q 2.5 b H ow much is the total payment
inclusive of the service tax?
a convert 2.5 to percentage.

b s tate the value of q and then find
the value of q ÷ p.

139

11. Alan runs a distance of 4.5 rounds 15. The diagram shows the RM139.50
on a track at a field every day. The price and discount of a 20%
distance of one round of the track is book rack. How much
0.4 km. What is the running distance, money can be saved?
in km, in a week?
16. k 1 3 million52
12. A piece of ribbon measuring 4 21 m is 5 10
cut into 9 parts of equal length. 0 million million

a W hat is the length, in m, of each State the value of k in a whole number
part of the ribbon?
based on the number line above.

b S ofia uses one part of the ribbon 17. I purchased a set of
for handicraft. She also uses 2
pieces of lace fabric of 3 m and furniture for RM6 400.
1.25 m respectively. Calculate
the total length, in m, of all the The following is the cash rebate offered
materials. for the purchase:

13. The table shows the volume of date Purchase Rebate
milk in three containers.
RM1 000 to RM2 999 RM100

Container Volume of date milk RM3 000 to RM4 999 RM200

Blue 1.8 RM5 000 to RM6 999 RM300

White 120% of the volume in RM7 000 to RM8 999 RM400
the blue container
How much does Aditya have to pay for
Red 2.7 one set of furniture?

a C alculate the volume, in ,of date 18. Sarjit saved RM12 000 in an investment
account. He received a dividend of 4%
milk in the white container. per annum. How much is the value of
b W hat is the percentage of the the dividend after one year?

volume of date milk in the red 19. The following is the record of the assets
container compared to the volume and liabilities of Miss Dhia.
of date milk in the blue container?

14. Savings: RM50 000
a F ind the value of Credit card debt: RM1 460
Education loan: RM15 000
the rebate. Car (bought cash): RM35 000
Is the value of the assets more than
b S tate the price the liabilities? Prove it.
of the bungalow
RM1.5 million after the rebate.
Rebate: 1%

140

4 TIME

RECOGNISE TIME ZONE

1 Doctor Tan works in Malaysia. He has just started an online conversation
with his two friends who are living overseas. The time at their respective
places is different.

It is 5:30 p.m. now
in New Delhi.

Their time is different Dr. Rajesh The clock is
from one another. showing 8:00 p.m.
Why does that in Kuala Lumpur.
happen, teacher?

Dr. Tan

It is already There is a time
10:00 p.m. in difference between
the three countries
Brisbane. because they are
situated in different
Dr. Mikhail
time zones.
The locations which receive
sunlight experience daytime. Sun
The locations which are blocked

by sunlight experience
nighttime.

dark bright
area area

Earth

4.1.1 €€Scan the AR to know more about the reasons for time differences € 141
in the world.

2

Time zone in GreenwGREiEcNhLAN,D

ALASKA England (GMT 0) ICELAND NORWAY FINLAND

Tuesday, 8 March 2022, 2:12 a.m. SWEDEN

CANADA

UNITED
KINGDOM
IRELAND POLAND BELARUS
Time zone in Mexico City, Mexico GERMANY
UKRAINE
(GMT –6)
FRANCE
Monday, 7 March 2022, 8:12 p.m.UNITED STATES
SPAIN ITALY TURKEY T
OF AMERICA PORTUGAL GREECE
INTERNATIONAL DATE LINE
MOZAMBIQUEBAHAMASMOROCCOLIBYA EGYPTIRAQ
CUBA ALGERIA IR

HAWAII VENEZUELA SAUDI
COLOMBIA ARABIA

North MEXICO MAURITANIA NIGER CHAD
MALI
SUDAN
NIGERIA

ETHIOPIA SOMAL

West East ECUADOR GABON CONGO KENYA
TANZANIA
PERU
BRAZIL ANGOLA
ZAMBIA
South BOLIVIA MADAG
NAMIBIA

PARAGUAY

Greenwich Meridian (GMT 0) here. URUGUAY SOUTH
AFRICA
• The time zone is measured from CHILE ARGENTINA

• Time becomes earlier for places situated on the right side (East).

• Time becomes later for places situated on the left side (West).

Travel to the West

The time difference The time in Malaysia The time in Mexico
for every GMT is 8 hours ahead of City is 6 hours behind
is 1 hour.
Greenwich. Greenwich.

€€Ask pupils who have travelled abroad to share about time, temperature, and 4.1.1,
142 weather of the countries that they have visited. 4.1.2

€€Surf https://bit.ly/2TonYec to know more about the history of time zone.


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