93 Solution 2.5.1 Carry out simulation on division of fractions for pupils’ understanding about the concept of division of fractions. 1 Hana’s mother is cooking 1 4 5 of curd. She will pour it equally into a few containers. Each container has a volume of 3 10. How many containers does she need? • 1 4 5 of curd is poured into containers with a volume of 3 10 each. • Find the number of containers needed. 1 4 5 ÷ 3 10= 6 The number of containers needed is 6. If Hana’s mother poured 1 4 5 of curd equally into 9 containers, what is the volume, in, of curd in each container? Discuss. 1 4 5 ÷ 3 10= 1 4 5 ÷ 3 10 = 9 5 ÷ 3 10 = 9 5 × 10 3 = 6 3 2 1 1 6 × 3 10= 6 1 × 3 10 = 18 10 = 1 8 ÷ 2 10 ÷ 2 = 1 4 5 4 5 1 = 5 5 5 × 2 5 × 2 = 10 10 4 × 2 5 × 2 = 8 10 Understand the problem Plan the strategy Solve Check SOLVE THE PROBLEMS 1 5 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 5 1 5 1 5 1 5 1 5 1 5 1 5 1 5
94 2.5.1 Guide pupils to find keywords in a question. The size of the bigger painting is 1.5 m long and 0.8 m wide. Find the area of the painting. area = length × width 1.5 m × 0.8 m = m2 1.5 m × 0.8 m = 1.2 m2 2 The following pictures show two acrylic paintings bought by Puan Zeti. Find the area, in m2 , of the bigger painting. 0.8 m 1.5 m 16.4 cm 9 1 2 cm 1.5 m × 0.8 m 1 2 0 +0 0 0 1.2 0 m2 4 The area of the bigger painting is 1.2 m2 . 2 × (9 1 2 cm + 16.4 cm) = Is this the number sentence to find the perimeter for the smaller painting? Prove it. area length width Step 1 Step 2 1 . 5 8 1 2 . 0 − 8 4 0 − 4 0 0 × 10 × 10 0.8 1.2 Solution Understand the problem Plan the strategy Solve Check
2.5.1 95 Provide various problem-solving questions involving daily life situations. Instil moral values such as love for the environment. 3 Based on the incomplete table, pupils in Class 6 Bakti collected 150% of the mass of old newspapers collected by pupils in Class 6 Jaya. Calculate the mass, in kg, of old newspapers collected by pupils in Class 6 Bakti. 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? What is the mass, in kg, of old newspapers collected by 6 Bakti? 150% × 23.56 kg = kg 150% × 23.56 kg = 35.34 kg 1 1.7 8 kg 2 23.56 kg −2 03 − 2 1 5 − 1 4 1 6 − 1 6 0 The Mass of Recycled Materials Collected 150% × 23.56 kg = 150 100 × 23.56 kg = 1.5 × 23.56 kg = 35.34 kg 2 3.5 6 × 1.5 1 1 7 8 0 + 23 5 6 0 35.3 4 0 1 1 1 2 3 6 Jaya 6 Bakti 23.56 kg ÷ 2 = kg 100% 23.56 kg 23.56 kg 50% 1 1 23.56 kg + 1 1.7 8 kg 35.34 kg Solution Given Check Asked for Calculate Number sentence Class Mass Old newspapers Aluminium cans 6 Jaya 23.56 kg 13.2 kg 6 Bakti 5.5 kg • 6 Jaya collected 23.56 kg old newspapers. • 6 Bakti collected 150% of the mass of old newspapers collected by 6 Jaya. kg
96 2.5.1 Guide pupils to find keywords such as more or less and show other problem-solving strategies such as drawing diagrams. 4 The picture shows the conversation among Norli, Madhuri, and Mei Hua. How long did Mei Hua’s bean sprouts take to germinate? 3 1 2 days + 1 day – 0.5 day = days 3 1 2 days + 1 day – 0.5 day = 4 days 3 1 2 days + 1 day = 4 1 2 days How do you check your answer? Discuss. Name Time taken for bean sprouts to germinate Norli 3 1 2 days Madhuri 1 day more than Norli’s Mei Hua 0.5 day lesser than Madhuri’s Step 1 Step 2 Mei Hua’s bean sprouts took 4 days to germinate. How long did Mei Hua’s bean sprouts take to germinate? last seen today at 17:25 Smart Science Group 17:20 Mine germinated 1 day more than yours, Norli. Madhuri Norli Mine germinated 0.5 day lesser than Madhuri’s. Mei Hua 17:22 17:21 My bean sprouts germinated in three and a half days. 4 1 2 days = 4 days + 1 2 day = 4.0 days + 0.5 day = 4.5 days 4.5days – 0.5day 4.0days Solution Fill in the table with the information given above.
2.5.1 97 Steamed Bun Recipe (90 pieces) Dough Ingredients ✎ 3 kg of wheat flour ✎ 3 5 kg of sugar ✎ 0.033 kg of yeast ✎ 0.03 kg of baking powder ✎ 6 tablespoons of vegetable oil ✎ 1.5of water Guide pupils to understand the problem thoroughly and encourage them to draw diagrams to represent the problem. 3 kg of wheat flour 0.03 kg of baking powder 3 5 kg of sugar Sara uses 180% of water to make the dough. How much water, in, does she use? What will happen to the dough? Discuss. The mass of wheat flour is 2.37 kg more than the total mass of sugar and baking powder. How much more? 3 kg – ( 3 5 kg + 0.03 kg) = kg 3 kg – ( 3 5 kg + 0.03 kg) = 2.37 kg 0.6 kg 5 3.0 kg −0 3 0 −3 0 0 0.60 kg + 0.03 kg 0.63 kg 9 2 1010 3.00 kg − 0.63 kg 2.37 kg 0.63 kg − 0.03 kg 0.60 kg 0.6 kg = 6 10 kg = 6 ÷ 2 10 ÷ 2 kg = 3 5 kg Check 9 2 1010 3.00 kg − 2.37 kg 0.63 kg Solution • 3 kg of wheat flour, 3 5 kg of sugar and 0.03 kg of baking powder. • Compare the mass of wheat flour with the total mass of sugar and baking powder to get how much more is the amount of wheat flour. 5 The picture shows the ingredients needed for making the dough of a steamed bun recipe. Mak Jah wants to make steamed buns for sale. How much more is the mass of wheat flour compared to the total mass of sugar and baking powder?
98 2.5.1 Solve the following problems. a Nabil takes 3 4 hour to make a rubber band fan. Calculate the number of rubber band fans he can make in 2 1 4 hours. 1 m 0.5 m Pupils can check their answers using various methods. b 62 2 5 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 for one complete rotation of two planets around the Sun. Find the estimated period, in years, for planet Jupiter to rotate around the Sun. d Puan Nita buys 8.4of soya milk. She pours it into a few serving glasses. Each glass is filled with 0.35of 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. ii How much longer is the red ribbon compared 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? Planet Estimated period for one complete rotation around the Sun Mars 1.88 years Jupiter 6.3 times of Mars 2 3 4 m LET’S DO IT
99 2.1.1, 2.2.1, 2.2.2, 2.3.1, 2.3.3 1 Divide. 2 Calculate. a 1 4 ÷ 2 = d 3 1 3 ÷ 50 = g 1 3 7 ÷ 3 5 = b 5 6 ÷ 5 = e 4 9 ÷ 2 3 = a How many 1 4 are there in 7 10 ? c ÷ 3 5 = 5 6 b How many 1 8 are there in 1 1 2 ? d 1 4 ÷ = 1 6 h 5 1 7 ÷ 6 7 = c 2 2 5 ÷ 6 = f 7 8 ÷ 3 10 = i 6 9 10 ÷ 3 8 = Provide more exercises with various levels in the form of worksheets for drilling. Scan the QR code for additional practice. 3 Solve these. a 0.8 × 1.35 = l The quotient of two numbers is 30.1. If the divisor is 2.8, what is the other number? e 1.881 ÷ 0.19 = i ÷ 2.3 = 8.97 c 9.58 × 6.3 = g × 8.6 = 31.39 k Find the product of 7.5 and 4.08. b 0.71 × 6.7 = f 0.09 ÷ 0.4 = j 4.05 ÷ = 2.7 d 16.8 ÷ 3.5 = h 2.7 × = 26.028 4 Complete these. 330% 1.65 as 6.6 a 120% of 0.4 250% × 0.64 800% × 0.34 0.48 b LET’S PRACTISE as as as SCAN ME ADDITIONAL PRACTICE
100 2.3.2, 2.3.3, 2.4.1 i What is the total percentage of pupils who like reading and surfing the Internet? ii What is the difference in percentage between pupils who like swimming and gardening? i 91% + 4% + 206% = ii 105% – 68% – 25% = a 125% of 8.4 m b 210% of 10.5 hours b 1.596 of 0.84 Is this true? Prove it. a 10.71 of 4.2 Target Achievement 1.2 km 3.6 km Target Achievement 3.5 days 4.9 days 10 Solve these. a 3minutes+4.2minutes – 7 10 minute= b 2 5 × 0.15÷ 3 = c 10 1 4 km – (6 km + 0.18 km) = d 27.6 kg + 30 × 1 1 5 kg = e 7 10 × 9.2 – 5 = f 9 5 8 ÷ 7 – 1.06 = g 13 1 2 + 14 ÷ 0.5 = h (20 – 8 3 4) ÷ 7.5 = i (12 × 0.8) + (9 × 3 4) = j (30.46 – 18) ÷ (1 – 4 5 ) = Guide pupils to do the calculations step by step. 5 a Based on the pie chart, answer the questions. 6 Find the values of the percentages. b Calculate. Free Time Activities for Pupils in Class 6 Orbit Gardening 5% Internet surfing Swimming 20% 30% Reading 45% b 7 Calculate the percentage of achievement compared to the target. 8 Find the percentages. a e 316% of 9.2 = 29.072 Show the calculations for the number sentence above. 9 10.5 2.5 × 100% = 420% c 108% × 7.4 kg = d 430% × 20.8=
2.5.1 101 11 Solve the following problems. a The picture shows the size of a table flag. Calculate the area, in cm2 , of the flag. b Nabilah cuts a wire of 3 3 4 m into 5 parts of equal length. 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 8 m. How many pieces are there? 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 The incomplete table below shows the mass of organic vegetables bought by Raju. 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? 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. HANDWASH HANDWASH 2 5 0.05 1 30.5 cm 15.25 cm Carry out a Round Table session in each group to solve the problems above to enhance pupils’ understanding. Jasmine brand Jasmine brand Rose brand Week 1 Week 2 1.8 kg 2.1 kg 3.36 kg Vegetable Cabbage Broccoli c i
102 2.1.1, 2.2.1, 2.2.2, 2.3.2, 2.3.3, 2.4.1 Tools/Materials Participants How to play Question cards (2 sets), stopwatch, A4 papers, pencils, number wheel and score sheets. 2 pupils and a referee. 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 the question cards. Vary the questions involving fractions, decimals, and percentages according to pupils’ level of performance. SCORE SHEET Name: _____________________ No. Marks + Bonus marks 1. 10 + 5 = 15 2. 3. 4. 5. 6. Total marks: ______ EXAMPLE OF QUESTION CARDS 3 4 1 2 3 ÷ 1 4 = 4.5 × 1.6 = LET'S EXPLORE SCAN ME QUESTION CARDS 3 1 4 5 6 2
103 3.1.1, 3.1.2 Discuss various situations to explain cost price, selling price, profit, and loss. Instil moral values such as honesty when deciding the selling price, taking into account the service charge and time involved. Identify the cost price, selling price, and profit in the situation above. The profit for selling 1 kg of banana is 80 sen. a The cost price or the retailer’s buying price for 1 kg of banana is RM4.20. b The selling price for 1 kg of banana is RM5.00. c Profit = Selling price – Cost price = RM5.00 – RM4.20 = RM0.80 How do you calculate the loss of 20 sen if the selling price is RM4? Discuss. Sorry, madam. The cost price of 1 kg of banana is RM4.20. I only make a profit of 80 sen from each kg. If I sell you RM4 per kg, I will make a loss. Profit is gained when the selling price is more than the cost price. 3 MONEY RECOGNISE COST PRICE, SELLING PRICE, PROFIT, AND LOSS Can you reduce the selling price of 1 kg of this banana to RM4? Alright. Cost price The original price of goods before being sold to another person. Selling Price The price of goods which a buyer needs to pay. 1 TIPS
104 3.1.1 3.1.2 Discuss the calculation of profit and loss that depends on the cost price and the selling price. Ask pupils to state profit or loss spontaneously based on the cost price and the selling price mentioned. New model 2 a Selling price: RM950.50 Profit: RM240 What is the cost price of the watch? Cost price = Selling price – Profit = RM950.50 – RM240 = RM710.50 The cost price of the watch is RM710.50 . b Cost price: RM1 286.80 Selling price: RM1 100.50 Calculate the capital loss of the watch. Loss = Cost price – Selling price = RM1 286.80 – RM1 100.50 = RM186.30 The capital loss of the watch is RM186.30 . Stock clearance sale 2018 model When the selling price is less than the cost price, loss occurs. Loss Value of money that is decreased because the cost price is higher than the selling price. RM950.50 – RM240.00 RM7 1 0.50 RM 1 286.80 – RM 1 1 00.50 RM 1 86.30 TIPS
105 Profit = Selling price – Cost price = RM10 800 – RM9 000 = RM1 800 Profit = Selling price – Cost price = RM13 800 – RM12 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. The profit for both pianos above is the same, that is RM1 800 . 3.1.1 3.1.2 Drill the calculation of cost price, selling price, profit, and loss by carrying out quizzes or simulation using picture cards. 4 3 The profit for both pianos below is the same. Prove it. Cost price: RM9 000 Selling price: RM10 800 Selling price: RM13 800 Refrigerator brand Cost price Selling price Profit Loss Visi RM2 500 RM360 Moto RM2 000 RM1 800 Profit The money obtained from selling something after subtracting the cost price. TIPS Cost price: RM12 000
106 3.1.1, 3.1.2 1 Calculate the selling price or the cost price. 2 Calculate the profit or loss. a a c b b d c d 3 Encik Sufi is recording the sale of several goods in the table below. Calculate and complete the table. Cost price: RM20 Selling price: RM22 Cost price: RM10 550.50 Selling price: RM12 668.80 Cost price: RM8 230 Selling price: RM7 895 Cost price: RM24 560 Selling price: RM21 733.50 Goods Cost price Selling price Profit or Loss Smartphone RM1 200 RM1 500 Profit RM300 Printer RM500 RM600 Digital camera RM2 000 Profit RM400 Calculator (stock clearance) RM80 Loss RM4 Cost price: RM49.50 Profit: RM9 Selling price: RM25 350 Loss: RM760.50 Carry out quizzes involving various levels of questions to reinforce pupils’ understanding. LET’S DO IT Selling price: RM102.90 Profit: RM38.50 Cost price: RM4 699 Loss: RM250
107 20% of RM80 = 20 100 × RM80 = RM16 RECOGNISE DISCOUNT, REBATE, AND VOUCHER 3.1.1, 3.1.2 a Calculate the discount value of the school bag in Shop B. b Calculate the price of the school bag after the discount in Shop B. The discount value of the school bag in Shop B is RM16 . The price of the school bag after discount in Shop B is RM64 . Price after discount = Original price – Discount = RM80 – RM16 = RM64 Ask pupils to give examples of discounts in daily life situations. Discuss reasons why retailers offer discounts. For example, to boost sales. Instil thriftiness among pupils when spending and to shop wisely. 1 In which shop was the purchase smartly done? Discuss. How much discount do we get? RM80 − RM60 = RM20 SHOP A SHOP B DISCOUNT How much can we save, mum? Discount The reduced price or value from the original price or value. TIPS Mum, we can save RM20.
108 The rebate that you got is on this receipt. 3.1.1, 3.1.2 Give other examples of rebates in daily life situations such as toll fare, purchasing cars, IRB tax, and Internet bills. Discuss various types of rebates. Mum, why did you pay only RM100? Alright. Thank you. The total price is RM105, but you only have to pay RM100. I got a RM5 rebate, Kareena. 1 AZ SUPERMARKET DATE: 9 APRIL 2021 16:35 SHIRT TROUSERS 2 × RM23.50 2 × RM29.00 RM47.00 RM58.00 QUANTITY 4 ITEM NO. 2 TOTAL PRICE REBATE RM105.00 RM 5.00 TOTAL PRICE CASH RM100.00 RM100.00 THANK YOU. PLEASE COME AGAIN. Rebate A deduction from the total payment that has to be paid or a partial refund from the money after the payment. REBATE TIPS
3.1.2 109 Guide pupils to find the values after rebate using various calculation methods. 2 During this festive season, we have received toll fare rebate of 10%. The usual amount is RM51.50. State the percentage of rebate received and solve it. (1 − 75%) × RM60 = THINK SMART THINK SMART SMART Method 1 Method 2 The toll fare after the 10% rebate is RM46.35 . Calculate the toll fare after the 10% rebate. Calculate the toll fare after the 10% rebate for all the other types of vehicles. Step 1 4 11 4 10 RM5 1.5 0 – RM 5.1 5 RM46.3 5 100% − 10% = 90% Step 1 90 100 × RM51.50 = 9 × RM51.50 10 = RM463.50 10 = RM46.35 Step 2 1 4 RM 5 1.5 0 × 9 RM463.5 0 10% of RM51.50 = 10 100 × RM51.50 = RM51.50 10 = RM5.15 Step 2 N CLASS TOLL FARE DISTANCE KM ENSURE SUFFICIENT BALANCE IN YOUR CARD VEHICLE TYPE NORTH-SOUTH EXPRESSWAY
110 3.1.1 Present various examples of vouchers in daily life situations. Ask pupils to create vouchers using their own creativity if they are retailers. That’s a good suggestion, Yip. We can save RM12. Voucher RM5.00 if you spend RM50 and above in one receipt. NIDA PHARMACY VALID FOR 14 DAYS. Dad, I received this voucher. I can use it to buy your school supplies. a c d b 10 RM WATER PARK VOUCHER State the voucher’s value and discuss its uses. VOUCHER Voucher A small piece of paper which entitles the owner to get a discount or an exchange for goods. TIPS Mum, we can use this voucher at Yummy Restaurant to celebrate Father’s Day. MAJU BOOKSHOP MAJU BOOKSHOP GIFT VOUCHER RM BOOK STATIONERY AUDIO
111 3.1.1, 3.1.2 Discuss various terms that give the same meaning as discount such as special price and offer price. 1 Calculate the discount value. 2 Complete the table. 3 Calculate the rebate value. Original price New price Discount RM12 RM9 RM12 – RM9 = RM3 RM70 RM56 RM280 RM252 RM3 600 RM2 700 RM50 RM45 a b c a a d b b RM35 300 RM35 800 RM5 FREE KITA SUPERMARKET VOUCHER Offer price RM9 739 Special price RM500 Promotional price RM990.90 Normal price RM10 531 Original price RM1 289 RM536.70 RM1 800 4 State the value of the voucher and its use. after rebate Rebate 2% LET’S DO IT WYW 2487 RM8
112 3.1.1 Guide pupils to identify the information that must be stated in the invoice. Explain that invoice is a document that is sent by the product supplier or service provider to the buyer. Surf https://tinyurl.com/4v4jenye I will send this invoice to the customer. The copy will be kept as a sales transaction record, sir. Supplier’s name and address Customer’s name and address Supplier’s verification Alright. Please issue a receipt after the customer makes the payment. 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 TOTAL: 25 000.00 SALES DISCOUNT (10%): 2 500.00 TOTAL PAYMENT: 22 500.00 INVOICE KEMAS HOLDING 88, JALAN MAJU, 05400 ALOR SETAR. TEL.: 04-7721515 TO: JAYA KOMUNIKASI BERHAD 70, JALAN BAKTI 1, 05100 ALOR SETAR. INVOICE NO.: AS 1051 DATE: 2 MAY 2022 RINGGIT MALAYSIA TWENTY-TWO THOUSAND AND FIVE HUNDRED ONLY. SIGNATURE/ COMPANY STAMP RECOGNISE INVOICE, BILL, RECEIPT, AND SERVICE TAX INVOICE Invoice number Invoice date Order Information Payment details or goods bought Invoice List of goods or services with the price sent by the supplier to the customer. TIPS
3.1.1 113 Discuss examples of bills in daily life situations, such as telephone bill and electricity bill. Instil moral value of paying bills according to the prescribed period and checking the bill amount. This is the bill, sir. May I have the bill, please? Just a moment. NO. ITEM QUANTITY PRICE PER UNIT (RM) TOTAL (RM) 1 FISH 1 20.00 20.00 2 FRIED CHICKEN 6 3.00 18.00 3 VEGETABLES 1 13.00 13.00 4 RICE 3 1.50 4.50 5 BARLEY 3 1.50 4.50 NO 3, JALAN MUTIARA, 48050 RAWANG, SELANGOR. TEL.: 03-7951 1105 WAFI RESTAURANT BILL ISSUED BY, DATE: 10.5.2022 TABLE NO.: 6 TIME.: 13:00:00 NO.: 20792 Date Name and Business Address Information on goods (items) or services BILL Bill A bill is a detailed statement on the price of goods or services received. TOTAL (RM): 60.00 TIPS Thank you.
114 Receipt The receipt is an official statement that shows payment has been received. Service Tax The tax that must be paid for the services rendered by certain businesses such as restaurants. 3.1.1, 3.1.2 Guide pupils to be a wise user by checking the price of every item to ensure the total price that is to be paid is correct. This is my bill. The total payment is RM63.60. This is the receipt and the Here is RM100. balance. Thank you. Calculate Encik Hamid’s balance. RM100 – RM63.60 = Encik Hamid’s balance is RM36.40 . RM100 – RM63.60 = RM36.40 9 9 0 1010 10 RM 1 0 0.0 0 – RM 6 3.6 0 RM 3 6.4 0 TOTAL (RM): TAX 6% (RM): TOTAL PAYMENT (RM): CASH (RM): BALANCE (RM): THANK YOU, PLEASE COME AGAIN. 60.00 3.60 63.60 100.00 36.40 NO. ITEM QUANTITY PRICE PER UNIT (RM) TOTAL (RM) 1 FISH 1 20.00 20.00 2 FRIED CHICKEN 6 3.00 18.00 3 VEGETABLES 1 13.00 13.00 4 RICE 3 1.50 4.50 5 BARLEY 3 1.50 4.50 NO 3, JALAN MUTIARA, 48050 RAWANG, SELANGOR. TEL.: 03-7951 1105 WAFI RESTAURANT RECEIPT DATE: 10.5.2022 TABLE.: 6 TIME: 13:05:00 RECEIPT NO.: 107005 Calculate the value of the service tax on the receipt. Service tax: 6% of RM60 = 6 100 × RM60 = RM36 10 = Receipt date Receipt number Information on price, service tax, and balance Payment time RECEIPT AND SERVICE TAX TIPS
3.1.2 115 1 Complete the invoice below. 2 Complete the bill below. 3 Calculate the value of service tax below. c a b CAR PARKING RECEIPT DURATION: 5 HOURS 1 HOUR: RM1.00 SERVICE TAX: 6% TN DATE:01/06/2022 HALL:10 CHAIR:25 TICKET PRICE: RM10 SERVICE TAX: 6% MENTARI HOTEL Payment of hotel accommodation: RM320 Service tax (6%): QUANTITY DETAILS PRICE PER UNIT TOTAL 120 BALL RM4.00 40 RATTAN HOOP RM6.00 TOTAL 10% SALES DISCOUNT TOTAL PAYMENT SYARIKAT CERGAS ENTERPRISE B.12, BLOK A 88830, KOTA KINABALU, SABAH. KEDAI WAJA NO.11, JALAN BAKTI, TAMAN INDAH, 88838 KOTA KINABALU, SABAH INVOICE NO.: P015 DATE: 8 APRIL 2022 TEL.: 088-711038 E-MAIL: [email protected] FAX: 088-711039 INVOICE Guide pupils to find answers through various methods. Ask pupils to identify the features and differences between invoice, bill, and receipt. PASAR JAYA HUSSEIN SDN. BHD. LOT F12, JALAN SEMARAH 05400, ALOR SETAR, KEDAH. BILL RICE 5 × RM26.00 100620100 MILK POWDER 4 × RM30.50 1004582001 TOWEL 6 × RM12.90 QUANTITY: 15 ITEM NO.: 3 LET’S DO IT
116 3.1.1, 3.1.2 Instil moral values such as thriftiness and the importance of savings. 1 Calculate the interest received after saving for one year. The interest value is RM200 . How much is the balance on 5 January 2022? Discuss. Interest value = Interest rate × Savings = 2% × RM10 000 = 2 100 × RM10 000 = RM200 Date Deposit Withdrawal Balance 5 January 2021 RM10 000 RM10 000 5 January 2022 Interest Interest Interest is an amount of money received when an individual saves money in a bank for a certain period of time. TIPS INTEREST I would like to deposit RM10 000 in my daughter’s account for her education in the future. Alright, sir. The interest rate for savings is 2% per annum. INTEREST AND DIVIDEND
117 3.1.1, 3.1.2 Mum, I won RM3 000 in a logo design competition. Emphasise that the dividend received will increase when the investment company gains profit. a Based on the statement below, how much dividend did Razi receive after a year? The dividend received by Razi after 1 year is RM120 . Is the number sentence below suitable to find the answer in b ? 104% × RM3 000 = Discuss. DEPOSIT DATE TRANSACTION RECORD INFORMATION BANK SLIP NUMBER BANK BRANCH CODE AMOUNT (RM) BALANCE (RM) 1.1.2021 INITIAL BALANCE ----------- ------------------ ----------- 3 000.00 DIVIDEND ----------- SSPN 9999 31.12.2021 FINAL BALANCE UPDATED b On 31.12.2021, how much is Razi’s total balance? Dividend value = Dividend rate × Investment = 4% × RM3 000 = 4 100 × RM3 000 = RM120 RM3 000 + RM120 = On 31.12.2021, Razi’s total balance is . Congratulations, Razi! I will invest this money in your National Education Savings Scheme (SSPN-i ). The dividend rate is 4% per annum. DIVIDEND Dividend Shared profits for the money invested in business or shares. TIPS
118 3.1.1, 3.1.2 1 Calculate the interest value or dividend below. a WARTA BANK Savings: RM8 000 Interest rate: 2% per annum Savings period: 1 year Interest value: b SETIA BANK Savings: RM50 000 Interest rate: 1.5% per annum Savings period: 1 year Interest value: c UNIT AMANAH SAHAM Investment: RM5 000 Dividend rate: 7% per annum Duration: 1 year Dividend value: d UNIT TRUST Investment: RM20 000 Dividend rate: 8% perannum Duration: 1 year 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. Provide more questions and vary forms of exercises to suit pupils’ abilities. LET’S DO IT A E B F E G B D C H Pipi Savings: RM1 000 Interest rate: 2% Investment: RM1 500 Dividend rate: 8% Investment: RM5 000 Dividend rate: 3% Start Savings: RM2 000 Interest rate: 2% Savings: RM4 000 Interest rate: 2% Savings: RM6 000 Interest rate: 1% Investment: RM2 000 Dividend rate: 5% Investment: RM3 000 Dividend rate: 3%
119 3.1.1, 3.1.2 Carry out assessments on pupils’ level of mastery from the aspects of knowledge, communication skill, thinking skill, and soft skill, as well as attitude and value shown in Try It Out activity. 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. 3 Collect every group’s work in a scrapbook. 4 Display the scrapbooks to be referred by other groups. 5 Write comments on sticky notes about other group’s work and paste them in the scrapbook. Selling price RM120 RM90 Discount value: RM120 − RM90 = RM30 Percentage discount: RM30 RM120 × 100% = 25% Service tax: 6% × RM7 = 6 100 × RM7 = RM42 100 = RM0.42 TRY IT OUT Tools/Materials A4 papers, goods brochures, scissors, glue, and pens. Participants 4 pupils in one group. Task
120 3.1.1 Educational loan Liabilities Guide pupils to identify asset and liability. Discuss about profitable asset 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. What are the impacts if the liabilities are not paid up? Discuss. I bought a car as my asset for RM25 000 cash. I only got RM15 000 when I sold the car after 3 years. Asset What is owned such as cash and property. Liability Financial commitments or loans. Car loan 2 Home loan ASSET AND LIABILITY RECOGNISE ASSET, LIABILITY, INSURANCE, AND TAKAFUL Assets House 1 a Savings Gold jewellery b Cash SPECIMEN SPECIMEN TIPS BHE 9415
3.2.1 121 Takaful Contribution Concept Insurance Buy and Sell Concept Buyer Seller Contributor Agent • Risks are borne by the insurance company. • Risks are borne by the participants in groups. • Contributions are owned by takaful fund. The takaful operator only acts as the fund manager. • Subject to Syariah laws and government laws. • Syariah compliant. • Insurance premiums are owned by the company. • Subject to government laws. • Non-syariah compliant. Contribution (donation) RM1 000 Buy RM1 000 Guide pupils to recognise insurance and takaful based on brochures. Explain that takaful is an Arabic term derived from the root word “Kafala”, which means to guarantee, protect, or look after. 1 INSURANCE AND TAKAFUL What are insurance and takaful? Insurance and takaful can protect us if anything happens to ourselves, our family members, or our properties. with the benefit of wakaf for FREE
122 3.2.2 Discuss the function and importance of various types of insurance such as medical insurance, life insurance, education insurance, and vehicle insurance using their respective insurance brochures. 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. 2 LET’S DO IT EXAMPLES OF THE USE OF INSURANCE AND TAKAFUL TRAVEL ROAD TRAFFIC ACCIDENTS OR DAMAGES MEDICAL FIRE Claim compensation for car repair and injury due to accident Receive compensation due to house destruction Coverage during travel such as loss of assets or life Covering medical expenses
3.3.1 123 Guide pupils to understand the question by drawing diagrams to represent the problem. 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? • House cost price: RM230 000 • House selling price: RM285 000 • Find the profit. If Puan Linda wishes to get a profit of RM80 000, how much will the selling price of the house be? Profit = Selling price – Cost price Cost price RM230 000 Selling price RM285 000 Profit RM230 000 + RM 55 000 RM285 000 RM285 000 −RM230 000 RM 55 000 Her profit is RM55 000. SOLVE THE PROBLEMS Plan the strategy Solve Check Solution Understand the problem
124 Plan the strategy • 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? 3.3.1 Create different situations involving profit or loss and ask pupils to solve it. Price of one bed Total price Minus rebate Price of one sofa set Balance that must be paid Step 1 Step 2 Step 3 1 1 RM 1 1 50 + RM 1 9 7 8 RM3 1 28 Purchase RM 1 000 RM 1 000 + RM 1 000 RM3 000 RM 5 0 RM 5 0 + RM 5 0 RM 1 5 0 Rebate 10 2 0 12 RM3 1 28 − RM 1 50 RM2 9 7 8 Hanif has RM5 000. He bought all three pieces of furniture. What is his balance? Solution 2 Puan Norma is reading a furniture pamphlet as shown in the picture. She has RM3 000 to buy one sofa set and one bed. Is the money enough to buy the two pieces of furniture? Prove it. RM1 978 AFIFI FURNITURE SHOP RM1 150 Rebate RM50 for every total purchase of RM1 000. RM899 SPECIAL OFFER Solve Understand the problem Yes, the money that Puan Norma has is enough to buy the two pieces of furniture.
125 Understand the problem Plan the strategy and Solve 3.3.1 Use trial and error method. 3 The table below shows the cost price and profit for 1 kg of vegetables. A restaurant owner spent RM120 to buy the two types of vegetables. What is the mass, in kg, of each vegetable that he bought? Use various problem-solving strategies to reinforce pupils’ understanding. Vegetable Cost price Profit French beans RM5 RM1 Chilli RM8 RM2 Trial Mass × price of French beans Mass × price of chilli Total expenditure 1 10 × RM6 = RM60 6 × RM10 = RM60 RM60 + RM60 = RM120 2 5 × RM6 = RM30 9 × RM10 = RM90 RM30 + RM90 = RM120 Cost price Profit Selling price of French beans: RM5 + RM1 = RM6 Cost price Profit Selling price of chilli: RM8 + RM2 = RM10 • Cost price: RM5, Profit: RM1 • What is the mass, in kg, of each vegetable? • Cost price: RM8, Profit: RM2 Selling price is the cost price plus profit. 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. Solution
126 3.3.1 Price of 9 paint brushes = 9 × RM0.80 = RM7.20 Guide pupils to solve questions through simulation. RM20.80 + RM7.20 = RM28.00 RM28 + RM72 = RM100 SPECIMEN SPECIMEN Balance RM28. SPECIMEN SPECIMEN SPECIMEN SPECIMEN SPECIMEN SPECIMEN SPECIMEN SPECIMEN SPECIMEN Step 1 Step 2 Step 3 7 10 RM28.00 − RM 7.20 RM20.80 2 dictionaries 2 × RM26.00 = RM52.00 4 files 4 × RM4.00 = RM16.00 5 paint brushes 5 × RM0.80 = RM 4.00 Total payment= RM72.00 • Amalina paid with 2 RM50 notes. • The balance Amalina has is RM20.80. The balance after buying the extra 9 paint brushes. (Cashier: Syaza) Solution 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. Given Asked for Solve Check
3.3.1 127 5 The table below shows some information from the invoice of goods bought by Encik Yunos. 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? 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. b The total amount to be paid = Total payment – Value of discount Total payment: Value of discount = 10% × RM2 480 = 10 100 × RM2 480 = RM248 RM 1 500 + RM 980 RM2 480 1 The discount is RM248. The total amount to be paid by Encik Yunos is RM2 232. 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 7 10 RM2 480 − RM 248 RM2 232 Solution a Price of jerseys: 60 × RM25 = RM1 500 Price of caps: 100 × RM9.80 = RM980 • The price per unit of a jersey is RM25. • The number of jerseys bought is 60. • The price per unit of a cap is RM9.80. • The number of caps bought is 100.
128 3.3.1 The rate for a two-night stay inclusive of service tax is RM593.60. RM593.60 – RM560 = RM33.60 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. Guide pupils to find keywords and construct the correct number sentence to solve the problem. 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. RM33.60 RM560 × 100% = RM3 360 RM560 % = 6% Check Room rate for a one-night stay is RM280. Room rate for a two-night stay: 2 × RM280 = RM560 Service tax payment: 6 100 × RM560 = RM336 10 = RM33.60 Total payment = Room rate (2 nights) + Service tax payment RM560.00 + RM 33.60 RM593.60 Solution
3.3.1 129 Instil moral values such as the importance of savings, spending money wisely, and avoiding loans as well as to settle any loan. 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 Fixed deposit : RM90 000 Credit card debt : RM1 500 Car loan : RM25 000 Jenny Jewellery : RM20 000 Car (bought cash) : RM55 000 Education loan : RM18 000 Their total asset is RM165 000. RM8 500 + RM18 000 = RM26 500 The difference in liability between them is RM8 500. a John’s and Jenny’s assets b Liability John: RM1 500 + RM25 000 = RM26 500 Jenny: RM18 000 John is wiser in managing his finance. Discuss. Make a table. 1 16 RM26 500 − RM 1 8 000 RM 8 500 Check Check RM 90 000 RM 20 000 + RM 55 000 RM 1 65 000 Solution a Calculate their total assets. b How much is the difference in liability between them? Name John Jenny Asset RM90 000 RM20 000 and RM55 000 Liability RM1 500 and RM25 000 RM18 000 RM165 000 – RM55 000 – RM20 000 = RM90 000
130 3.3.1 The savings interest received by Aira is RM120 per year. Is the statement true? Prove it. Savings Invest and get 8% dividend per annum RM10 000 RM6 000 RM4 000 RM320 RM4 000 × 100% = 8% 8% × RM4 000 = RM320 8% × RM4 000 = Dividend: 8% × RM4 000 = 8 100 × RM4 000 = RM320 I draw a diagram. The dividend received after a year is RM320. Guide pupils to identify keywords and solve the problem through other strategies such as simulation. Check Solution 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. 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.
3.3.1 131 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 If the retailer wants to get a profit of RM180, how much is the selling price of the bicycle? Solve the problems below. 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? Remind pupils to identify keywords to construct correct number sentence. 4 The picture shows the price of a massage chair at a clearance sale. Encik Liew will lose RM300 if he sells the massage chair for RM2 700. If Encik Liew 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? Selling price RM2 700 Clearance sale Baju kurung Pahang RM30 RM60 Baju kurung Kedah Item Cost price RM1 000 Selling price RM1 300 RM1 000 RM600 LET’S DO IT
132 3.3.1 Discuss various problem-solving strategies such as simulation and try simpler questions. 6 The picture shows the selling price and the percentage of discount for an air conditioner. Puan Ida wants to buy 2 air conditioners. Calculate the total amount of money that she can save. 7 The incomplete invoice on the right shows two goods that have been bought. a How much is to be paid if a 10% sales discount is given? b The cost price of an exercise book is 80 sen. How much is the profit for all 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 in the bill. a Calculate the total price to be paid. RM10 rebate is given to every RM100 purchase. How much is the total rebate received by Felix? 10 The table shows the savings account statement for Dina. Date Withdrawal Deposit Interest Balance 1.9.2021 – RM200 – RM5 000 1.9.2022 – – No. Details Quantity Price per unit (RM) Total (RM) 1 Dictionary 30 28.00 2 Exercise book 90 1.50 Jaya Stationery Supplier, 6, Jalan Makmur, 43800 Dengkil, Selangor. INVOICE COPY Invoice No.: AT402 Date: 3.11.2022 To: Book Store Z, Lot 41, Wisma Ilmu, 50460 Kuala Lumpur. PEN 10 X RM7 BOOK KITA BOOKSHOP PRINTER INK 5 × RM42 NO.11, JALAN MAS, TAMAN INDAH, 52100 KUALA LUMPUR. 10 × RM7 8 × RM9 b QUANTITY: 23 TOTAL PRICE: ITEM NO.: 3 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. RM2 150 Discount: 20%
133 3.1.1, 3.1.2 Selling price: RM400 000 Rebate: 2% Price after rebate: Selling price: RM4 129 Cash rebate: RM50 Price after rebate: Selling price: RM2 800 Discount: 10% Discount value: Selling price: RM4 500 Discount: 20% Price after discount: 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 Item Cost price Selling price Profit Loss Rice cooker RM360 RM90 none Vacuum RM860 RM70 none Decorative lights RM800 none RM50 1 Calculate and complete the table below. 2 Complete the table below. 3 Calculate. a c b d Provide more questions to reinforce pupils’ understanding. LET’S PRACTISE LET’S PRACTISE
134 • House: RM128 000 • Credit card debt: RM7 460 • Cash money: RM2 500 • Education loan: RM16 000 • Fixed deposit: RM20 000 • Car loan: RM40 000 4 Complete the information for part of the invoice given below. 5 a Complete the information on the entrance ticket to a water theme park below. b How much is the value of the voucher that will be received? 6 Solve these. 7 Calculate the total asset value and the total liability value from the information below. Calculate the value of dividend obtained with an interest rate of 9.5% per annum upon maturity date. Date Account No. Period (months) Total investment Effective date Maturity date 1.10.2021 B110114 12 RM10 000 1.10.2021 1.10.2022 Quantity Details Price per unit (RM) Total (RM) 50 rims A4 paper 8 40 pieces File 3 100 books Pocket dictionary 12 Total Sales discount (10%) Total payment a Calculate the savings interest for one year if the interest rate is 1.5% per annum. Date Account No. Withdrawal Deposit Balance 1.3.2022 140630205276 - RM8 000 RM8 000 b Free vouchers on spending: RM100 and above RM10 RM300 and above RM30 RM500 and above RM50 Validity date from 7.6.2022 until 30.9.2022 134 3.1.2 Encourage pupils to discuss with peers to build self-confidence in order to understand the questions and find solutions. Quantity Description Price (RM) 2 Adult MyKad 230.00 3 Children MyKid 270.00 Total: Service tax 6%: Total payment: Date: 6.6.2022
135 3.2.1, 3.2.2, 3.3.1 8 List down three importance of insurance and takaful coverage. 9 Solve the problems. a In 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? c Prakash 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. 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. 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. e The information on the right shows a promotion at Sedap Bakery. Hui Li went to the shop at 8:30 in the evening. She had RM10. Was the money enough to buy the three goods? Show the calculations. RM2.50 RM4.50 RM8.00 30% Discount after 8:00 p.m. 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. Provide simpler questions on problem-solving skills. Name Puan Ain Puan Maryanti Asset RM125 108 RM209 400 Liability RM37 264 RM121 901 Who manages their finances better? Prove it. Discount 20% RM100 rebate with a minimum expenditure of RM1 000. Tropica Golf and Resort 10% CLUB MEMBER NON-CLUB MEMBER RM50 rebate with a minimum expenditure of RM1 000. Tropica Golf and Resort d Discount
136 3.1.1, 3.1.2, 3.2.1 Tools/Materials Participants How to Play Provide more question cards. Provide more stations according to the number of pupils. The questions can be modified according to pupils’ abilities. Scan QR code to print question cards. Total price: RM150 Service tax: 6% Service tax value: Cost price: RM120 Selling price: RM165 Profit: Total price: RM1 230.90 Rebate: RM50 Total payment: Investment: RM5 000 Dividend:5%perannum Dividend value: and protect assets and contributor. Book price: RM12 Discount: 10% Discount value: Referee Question cards, papers, pens, and play money. 4 pupils in one group and one referee. 1 Prepare 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 Participants 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. Money is not given if the answer is wrong. Level of speed 1 2 3 4 Value of money received RM10 RM7 RM5 RM2 4 Repeat steps 2 and 3 to find a group that manages to collect the play money of RM30. LET'S EXPLORE SCAN ME QUESTION CARDS
137 A. Choose the correct answer. 1. One million sixty thousand one hundred and one in numerals is . A. 160 101 B. 160 110 C. 1 060 101 D. 1 060 110 2. 43 8 million = A. 437 500 B. 438 000 C. 4 375 000 D. 4 380 000 3. 120% = A. 1.02 B. 1.2 C. 0.12 D. 0.012 4. Which of the following is true? A. 3.08 = 380% B. 5 = 50% C. 4.2 = 402% D. 6.5 = 650% 5. Which of the following is a composite number? A. 5 B. 21 C. 47 D. 89 6. 2 951 000 + 1 4 million + 1.06 million = A. 4.261 million B. 4.161 million C. 4.151 million D. 3.207 million 7. 320% of 4.7 km = A. 7.9 km B. 15.04 km C. 23.68 km D. 36.7 km 8. 4.8 × 4.25 = A. 5.1 B. 20.4 C. 204 D. 510 9. 259.16 ÷ 9.5 = A. 27.108 B. 27.208 C. 27.18 D. 27.28 10. + = 20 Two composite numbers to complete the number sentence above are … A. 15, 5 B. 13, 7 C. 12, 8 D. 11, 9 11. 3 1 5 – 0.75 + 1 = A. 2 1 4 B. 2 9 20 C. 3 1 20 D. 3 9 20 12. Which set is of prime numbers? A. 1, 3, 5 and 7 B. 2, 5, 6 and 9 C. 11, 13, 15 and 17 D. 41, 43, 47 and 53 13. 4 ÷ ( 9 10 – 0.4) = A. 8 B. 6 C. 0.25 D. 0.125 14. 90.5 – 32 × 4 5 = A. 75.1 B. 64.9 C. 54.8 D. 46.8 15. 4.5 million ÷ 5 + 1 10 million = A. 9 100 000 B. 1 900 000 C. 1 000 000 D. 100 000 16. 5 8 million – 25 000 – 0.1 million = A. 1 2 million B. 1 4 million C. 1 5 million D. 1 8 million 17. 42 9 ÷ 2 3 = A. 3 19 B. 3 4 27 C. 4 1 3 D. 6 1 3 SELF-TEST
138 18. Selling price Loss RM3 195 RM218 Calculate the cost price of the refrigerator based on the table above. A. RM2 977 B. RM3 183 C. RM3 303 D. RM3 413 19. 2.1 million – × 4 = 1 2 million What is the value in ? A. 1 5 million B. 2 5 million C. 3 8 million D. 5 8 million 20. Which of the following gives the quotient of 1 12 ? A. 1 2 ÷ 1 6 B. 1 3 ÷ 1 4 C. 6 ÷ 1 2 D. 1 3 ÷ 4 21. Calculate the percentage for 1.2 hours of 0.4 hours. A. 0.3% B. 3.0% C. 30% D. 300% 22. How much must be added to 2 1 2 million and 0.04 million to make 5 million? A. 2 000 000 B. 2 460 000 C. 3 640 000 D. 7 640 000 23. 9 10 million – (0.45 million + ) = 324 000 What is the value in ? A. 576 000 B. 541 000 C. 126 000 D. 116 000 24. 12 + 4.8 ÷ 1 8 = A. 50.4 B. 39.6 C. 12.6 D. 2.1 25. 170% of 2.6= A. 4.24 B. 4.42 C. 42.4 D. 44.2 26. 3 4 million + 0.5 million = 1 million + A. 250 000 B. 125 000 C. 25 000 D. 12 500 27. Solve these. 960 000 – (0.03 million + p) = 4 5 million What is the value of p? A. 130 000 B. 160 000 C. 190 000 D. 480 000 28. Cost price: RM1 200 Profit: RM300 How much is the selling price of 4 handphones? A. RM3 600 B. RM4 700 C. RM4 900 D. RM6 000 29. Encik Sufi wants to buy a laptop. Selling price: RM2 680 Discount: 20% How much is the price of the laptop after discount? A. RM536 B. RM2 144 C. RM2 156 D. RM2 660 = = = =
139 1. The following are a few number cards. 13 9 7 35 43 81 List all: a prime numbers. b composite numbers. 2. The following are three number cards R, S, and T. 0.18 million R 1 8 million S 80 000 T a Which card has the largest value? b Calculate the difference between the largest value and the smallest value. 3. Solve these. a 5 1 5 ÷ 4 = 4. Calculate. a (3 – 1 2 5 ) ÷ 0.8 = b 4 7 10 + 2.95 × 7 = c 185% – 98% = 5. Complete the table below. Unit trust Investment Rate of dividend Value of dividend P RM4 000 6.5% Q RM5 000 7% 6. Based on the number line below: p 2 q 2.5 a convert 2.5 to percentage. b state the value of q and then find the value of q ÷ p. 7. Rekha pours 1 1 2 orange juice into a few glasses. Each glass contains 1 8 orange juice. How many glasses are needed? 8. A factory produces 7 10 million of hand sanitiser bottles. 0.208 million of the sanitiser bottles were sent to North Zone and the balance to South Zone. Calculate the difference in the number of hand sanitiser bottles received by the two zones. 9. The table below shows the number of vehicles passing through four highways during festive season. a Calculate the total vehicles passing through highways P, Q, and R. b The number of vehicles passing through highways R and S is the same. Is the statement true? Prove it. 10. Selvam has to pay a hospital bill of RM1 200. He was subjected to 6% service tax for the bill. a Calculate the value of the service tax. b How much is the total payment inclusive of the service tax? Highway P Q R S 1.6 million 250 000 5 8 million 2.5 times of highway Q B. Solve the following questions. b ÷ 2 5 = 16
140 11. Alan runs a distance of 4.5 rounds on a track at a field every day. The distance of one round of the track is 0.4 km. What is the running distance, in km, in a week? 12. A piece of ribbon measuring 4 1 2 m is cut into 9 parts of equal length. a What is the length, in m, of each part of the ribbon? b Sofia uses one part of the ribbon for handicraft. She also uses 2 pieces of lace fabric of 3 m and 1.25 m respectively. Calculate the total length, in m, of all the materials. 13. The table shows the volume of date milk in three containers. Container Volume of date milk Blue 1.8 White 120% of the volume in the blue container Red 2.7 a Calculate the volume, in,of date milk in the white container. b What is the percentage of the volume of date milk in the red container compared to the volume of date milk in the blue container? 14. I purchased a set of furniture for RM6 400. a Find the value of the rebate. b State the price of the bungalow after the rebate. 15. The diagram shows the price and discount of a book rack. How much money can be saved? RM1.5 million Rebate: 1% RM139.50 20% 16. State the value of k in a whole number based on the number line above. How much does Aditya have to pay for one set of furniture? Purchase Rebate RM1 000 to RM2 999 RM100 RM3 000 to RM4 999 RM200 RM5 000 to RM6 999 RM300 RM7 000 to RM8 999 RM400 18. Sarjit saved RM12 000 in an investment account. He received a dividend of 4% per annum. How much is the value of the dividend after one year? 19. The following is the record of the assets and liabilities of Miss Dhia. Savings: RM50 000 Credit card debt: RM1 460 Education loan: RM15 000 Car (bought cash): RM35 000 Is the value of the assets more than the liabilities? Prove it. The following is the cash rebate offered for the purchase: 17. 0 k 1 5 million 2 5 million 3 10 million
141 4.1.1 Scan the AR to know more about the reasons for time differences in the world. 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 from one another. Why does that happen, teacher? There is a time difference between the three countries because they are situated in different time zones. The clock is showing 8:00 p.m. in Kuala Lumpur. Dr. Tan Dr. Mikhail Dr. Rajesh It is already 10:00 p.m. in Brisbane. 4 TIME RECOGNISE TIME ZONE The locations which receive sunlight experience daytime. The locations which are blocked by sunlight experience nighttime. dark area bright area Sun Earth
142 ALASKA CANADA UNITED STATES OF AMERICA INTERNATIONAL DATE LINE MEXICO HAWAII CUBA BAHAMAS VENEZUELA COLOMBIA MALI NIGER NIGERIA GABON CONGO ZAMBIA MOZAMBIQUE ANGOLA NAMIBIA CHAD SUDAN EGYPT ETHIOPIA KENYA TANZANIA SOMALMADAGMAURITANIA MOROCCO PORTUGAL SPAIN FRANCE GERMANYPOLAND SWEDEN NORWAY BELARUS UKRAINE TURKEY SAUDI ARABIA IRAQ IRTGREECE ITALY FINLAND UNITED KINGDOM IRELAND GREENLAND ICELAND ALGERIA LIBYA ECUADOR PERU BRAZIL BOLIVIA PARAGUAY CHILE ARGENTINA URUGUAY SOUTH AFRICA 4.1.1, 4.1.2 Ask pupils who have travelled abroad to share about time, temperature, and weather of the countries that they have visited. Surf https://bit.ly/2TonYec to know more about the history of time zone. 2 Time zone in Mexico City, Mexico (GMT –6) Monday, 7 March 2022, 8:12 p.m. Greenwich Meridian (GMT 0) • The time zone is measured from here. • Time becomes earlier for places situated on the right side (East). • Time becomes later for places situated on the left side (West). The time difference for every GMT is 1 hour. The time in Malaysia is 8 hours ahead of Greenwich. The time in Mexico City is 6 hours behind Greenwich. Time zone in Greenwich, England (GMT 0) Tuesday, 8 March 2022, 2:12 a.m. West East South North Travel to the West