7.2.1 193 4 State the ratio of 12 : 18 in the simplest form. 6 : 9 is simplified to 2 : 3. 12 : 18 is simplified to 6 : 9. The ratio of 12 : 18 in the simplest form is 2 : 3 . 12 : 18 2 : 3 ÷ 6 ÷ 6 Group in threes. Group in twos. Carry out a simulation by grouping objects in twos, threes, and sixes to simplify the ratio between two quantities. 12 units 18 units 6 groups 9 groups Which method would you choose? Why? Divide 12 and 18 by 2. Divide 6 and 9 by 3. 12 : 18 6 : 9 2 : 3 ÷ 2 ÷ 3 ÷ 2 ÷ 3 Method 1 Method 2 Method 3 2 groups 3 groups
194 7.2.1 6 The picture shows the price of a T-shirt and a long-sleeved shirt. State the ratio of the total price of a T-shirt and a long-sleeved shirt to the price of a T-shirt. 5 Ravi bought 2 kg of chicken and 4 000 g of mutton. State the ratio of the mass of chicken to the total mass of chicken and mutton bought by Ravi. Vary ratio questions involving daily life situations such as the ratio of usage of petrol in a day to the usage in a week. The ratio of the mass of chicken to the total mass of chicken and mutton is : . The ratio of the total price of a T-shirt and a long-sleeved shirt to the price of a T-shirt is : . total mass 2 kg + 4 000 g = 2 kg + 4 kg = 6 kg mass of chicken 2 kg Convert the unit before finding the ratio. 24 and 60 can be divided by 12 without any remainder. RM24 RM36 2 : 6 : ÷ 2 ÷ 2 60 : 24 : total price T-shirt price ÷ ÷ 1 RM 2 4 + RM 3 6 RM 6 0 total price T-shirt Long-sleeved shirt
7.2.1 195 Prepare sufficient sample questions to help pupils build a chart, mind map, or mobiles for the Try It Out activity. Exhibit pupils’ work or organise a contest. Pair work activity. Build a suitable chart or a mind map to state ratio in the simplest form. Observe the flash cards above. Which animal group gives the ratio of 2 : 3 when compared to the total of two animal groups? THINK SMART THINK TRY IT OUT EXAMPLE MONEY MASS LENGTH State the ratio of RM10 to RM50. State the ratio of 6 to 8 000 m. State the ratio of 3 000 g to 9 kg. State the ratio of 4 m to 600 cm. VOLUME OF LIQUID RATIO
196 7.2.1 1 Jamilah prepares sandwiches, pies, and tarts for her children. sandwiches 600 m 400 m R T pies tarts F G E 2 km 8 000 m State the ratio of: a the number of sandwiches to the number of pies. b the number of pies to the total number of tarts and pies. c the total number of tarts and sandwiches to the number of tarts. 2 The picture shows the volume of watermelon juice in containers R and T. State the ratio of the volume of watermelon juice in container R to the volume of watermelon juice in container T. 3 The table shows the mass of seafood ordered by Rachel’s family. State the ratio of: a the mass of crab to the mass of squid. b the mass of fish to the total mass of fish and crab. c the total mass of squid and fish to the mass of squid. 4 State the ratio of 20 sen to RM1 in the simplest form. 5 State the ratio of: a the distance of EF to the distance of FG. b the distance of EF to the distance of EG. c the distance of EG to the distance of FG. Seafood Fish Crab Squid Mass 2 kg 1 500 g 500 g LET’S DO IT LET’S DO IT
7.3.1 197 How many girls will be chosen? The number of girls that will be chosen is 6 . Guide pupils to use model to represent ratio. Guide pupils to find the value of a unit first. Recall the unitary method. boys girls 3 pupils 1 part 3 pupils 2 parts 2 × 3 pupils = 6 pupils Use a model. The number of girls = 2 × 3 = 6 boys girls The number of female teachers is 12. The ratio of the number of male teachers to the number of female teachers is 1 : 3. Calculate the number of male teachers. 1 : 2 3 : 1 The ratio of the total number of boys to the total number of girls that will be chosen is 1 : 2. DETERMINE THE PROPORTIONATE QUANTITY × 3 × 3 We will choose 3 boys and a few girls for the storytelling session. Method 1 Method 2
198 7.3.1 The ratio of the number of comics read by Zikri to the number of comics read by Wong is 3 : 2. Calculate the number of comics read by Wong. The number of comics read by Wong is 8 . 3 parts 12 comics 1 part 12 ÷ 3 = 4 comics 2 parts 2 × 4 comics = 8 comics Find for one unit first. The ratio of the score of blue sports house to the score of green sports house is 5 : 3. Calculate the score of green sports house. Number of comics read by Wong 2 × 4 comics = 8 comics 12 Zikri Wong The ratio of the number of comics read by Zikri to the number of comics read by Sudhar is 4 : 3. Calculate the number of comics read by Sudhar. Zikri Wong 3 : 2 12 : 2 Name Zikri Wong Sudhar Number of comics read 12 × 4 × 4 SPORTS HOUSE SCORE BLUE GREEN 160 Method 1 Method 2 THINK SMART THINK
7.3.1 199 3 The picture shows the mass of two durians. The ratio of the mass of the small durian to the mass of the big durian is 1 : 3. Find: a the mass of the small durian. b the mass of the big durian. Vary questions which involve daily life situations such as length of an object, pupils’ height, pupils’ body mass, and volume of liquid. 8 kg a 4 parts 8 kg 1 part 8 kg ÷ 4 = 2 kg b 1 part 2 kg 3 parts 3 × 2 kg = 6 kg the mass of the small durian the mass of the big durian Create a table and solve. The mass of the small durian is 2 kg . 2 kg of small durian 6 kg of big durian 1 : 4 2 : 8 The mass of the big durian is 6 kg . 3 : 4 6 : 8 a b Durian Small Big Small and big Part 1 3 4 Mass 8 kg × 2 × 2 × 2 × 2 Method 1 Method 2
200 7.3.1 Surf https://bit.ly/3B8HeMQ to check the answers. Red Green Blue 60 Token Number B 12 A A : B 4 6 The diagram shows a right-angled triangle and a square. B 30 kg A A : B 6 kg B 28 km A B : A 16 km 8 : 12 : ÷ 4 ÷ 10 : 10 1 : ÷ ÷ 16 : 30 : 15 ÷ ÷ 1 Complete the following ratio in the simplest form. 2 State the ratio in the simplest form. a 4 : 14 b 5 : 20 c 8 : 24 d 18 : 81 e 32 : 28 f g h 3 The ratio of Rusdi’s score to Anushia’s score is 2 : 7. Rusdi’s score is 8. Calculate Anushia’s score. 4 The table shows the number of red tokens in a box. The number of green and blue tokens is not shown. a The ratio of the number of red tokens to the number of green tokens is 5 : 4. Calculate the number of green tokens. b The ratio of the number of red tokens to the number of blue tokens is 3 : 2. Calculate the number of blue tokens. 5 The ratio of Roslinda’s savings to Sherin’s savings is 3 : 8. The total of their savings is RM66. Calculate the savings of: a Roslinda. b Sherin. The ratio of the perimeter of the right-angled triangle to the perimeter of the square is 3 : 4. Calculate the perimeter of the square. LET’S DO IT LET’S DO IT Score 8 Player Rusdi Anushia 6 cm 8 cm 10 cm a b c
7.4.1 201 • Scale of 1 cm represents 1 km. • Find the distance of Kaswini from Miss Norehan. The distance of Kaswini from Miss Norehan is 3 km horizontally and 1 km vertically. Guide pupils to solve the problems using drawing method on the Cartesian plane. Get pupils to locate who is the farthest from Miss Norehan. Emphasise the use of scale to determine distance. Mark the horizontal distance and vertical distance on the Cartesian plane. Miss Norehan’s coordinate ( 2 , 5 ) Kaswini’s coordinate ( 5 , 4 ) Horizontal distance = 5 km – 2 km = 3 km Vertical distance = 5 km – 4 km = 1 km Horizontal distance = 3 km Vertical distance = 1 km 1 1 2 3 4 5 6 O 2 3 4 5 3 km 1 km y x Miss Norehan Kaswini Who is located 1 km horizontally and 3 km vertically from Miss Norehan? 1 The picture shows the position of Miss Norehan and her pupils during an online class. Miss Norehan interacts with Kaswini during the learning session. State the horizontal distance and vertical distance, in km, of Kaswini from Miss Norehan. SOLVE THE PROBLEMS y 1 1 cm 1 cm1 2 3 4 5 6 2 3 x O 4 5 Scale 1 cm represents 1 km Miss Norehan Adnani Kaswini Amsyar Azah Chi Min Solution Solve Check Understand the problem Plan the strategy
202 7.4.1 2 There are 15 boys and 18 girls in 6 Meteor. 1 boy and 2 girls have transferred to other schools. Calculate the ratio of the current number of boys to the current number of girls. The ratio of the current number of boys to the current number of girls is 14 : 16. 14 : 16 is simplified as 7 : 8. The ratio of the current number of boys to the current number of girls is 7 : 8. Guide pupils using representations to express the ratio between two quantities. 14 pupils 7 groups 16 pupils 8 groups Calculate the ratio of the current number of boys to the total current number of boys and girls. Group in twos. Pupils Boys Girls Initial number 15 18 Number of pupils' transferred 1 2 Current number 14 16 7 : 8 14 : 16 × 2 × 2 Check Solution
7.4.1 203 9 parts 45 km 1 part 45 km ÷ 9 = 5 km 5 parts 5 × 5 km = 25 km Distance from house to town P. Distance from town P to town Q. 3 Encik Kamarul drove from his house to town P and then from town P to town Q. The distance from his house to town Q through town P is 45 km. The ratio of the distance from his house to town P to the distance from town P to town Q is 4 : 5. What is the distance from town P to town Q? 45 km Distance from town P to town Q is 25 km. 5 : 9 25 : 45 The ratio of Mark’s money to Faizal’s money is 6 : 1. The total of their money is RM56. Mark gave half of his money to Faizal. Calculate the ratio of Mark’s current money to Faizal’s current money. Create questions similar to the question in Think Smart to enhance pupils’ thinking skills. Calculate the ratio of the distance from Encik Kamarul’s house to town P, to the distance from Encik Kamarul’s house to town Q through town P. Location House to town P Town P to town Q House to town Q Part 4 5 9 Distance 45 km × 5 × 5 Solution Check THINK SMART THINK
204 7.4.1 1 The Cartesian plane shows the location of four villages, A, B, C, and D. 2 There are 44 green marbles and 8 red marbles in a box. Rakesh takes out 8 green marbles and adds another 4 red marbles into the box. Calculate the ratio of the current number of green marbles to the current number of red marbles in the box. 3 Rozi buys a purple ribbon and a yellow ribbon. The ratio of the length of the purple ribbon to the length of the yellow ribbon is 2 : 9. The length of the yellow ribbon is 630 cm. What is the length, in cm, of the purple ribbon? 4 There are 60 scouts and Malaysian Red Crescent members participating in the district level anti-drug campaign. The ratio of the number of scouts to the number of the Malaysian Red Crescent members is 7 : 5. Calculate the number of scouts who participated in the campaign. Encik Lim lives in a village which has an equal horizontal and vertical distance from village D. a Calculate the horizontal distance and vertical distance, in km, of village B from village A. b Calculate the horizontal distance and vertical distance, in km, of Encik Lim’s village from village D. State Encik Lim’s village. Vary questions involving measurement to enhance pupils’ understanding. 0 1 2 3 4 5 km Scale 5 The picture shows the volume of lime juice in jug J and glass K. The ratio of the volume of lime juice in jug J to the volume of lime juice in glass K is 7 : 2. The volume of lime juice in jug J is 400 mmore than the volume of lime juice in glass K. Calculate the volume, in m, of lime juice in glass K. LET’S DO IT LET’S DO IT 1 1 cm 1 cm 1 2 3 4 5 6 2 3 y x O 4 5 N Village D Village A Village C Village B J K
205 7.1.1, 7.2.1 7.3.1, 7.4.1 2 State the following ratio in the simplest form. a 3 : 15 b 9 : 54 c 6 : 14 d 24 : 4 e 64 : 72 3 a The ratio of P : Q is 3 : 7. Find the value of P if Q is 35. b 4 Solve the following problems. a b Isaac is 13 years old, and his brother is 5 years old. State the ratio of Isaac’s age to his brother’s age after 7 years. c Martin has RM90. The ratio of the amount of money spent on food to taxi fare is 2 : 3. How much does he spend on food? d The ratio of the number of Thai tourists to the number of Korean tourists is 4 : 9. The total number of tourists from both countries is 104. What is the difference between the number of tourists from Thailand and Korea? Use different scale for question 1 as an additional activity. For instance: 0 1 2 3 4 5 km Scale 1 1 cm represents 1 km 1 2 3 4 5 6 O 2 3 4 5 6 F E 1 cm G 1 cm y x R S T 42 cm The ratio of the length of RS to the length of ST is 1 : 5. Calculate the length of: i RS. ii ST. The Cartesian plane shows two historical locations on an island. Rizal is visiting historical site R. He wants to visit historical site T from historical site R. State the actual horizontal distance and vertical distance of historical site T from historical site R. 1 1 2 3 4 5 6 O 2 3 4 5 6 y x R T 0 1 2 3 4 5 km Scale The Cartesian plane shows the location of three mini markets owned by Encik Rosham. State, in km, the horizontal distance and vertical distance of: a mini market F from mini market G. b mini market E from mini market F. c mini market E from mini market G. 1 LET’S PRACTISE
206 7.1.1, 7.2.1, 7.3.1, 7.4.1 Answer the following questions. Fill each of the box below with a letter which represents the answer based on the question number to get the secret code. 1 State the ratio of 36 to 20 in the simplest form. 2 T Y U V A I L M E N R O 9 : 5 2 : 1 9 RM20 RM28 15 g 3 : 2 4 : 7 25 g 5 : 8 1 : 3 s = 3 cm t = 4 cm 10 5 7 1 2 3 4 9 8 6 5 4 SECRET CODE The Cartesian plane shows the location of town V and village W. The distance of town V from village W is s horizontally and t vertically. Find the value of s and t. 0 1 2 3 4 5 km Scale 1 1 2 3 4 5 O 2 3 4 5 y x Village W Town V 3 The ratio of value A to value B is 8 : 3. The value of A is 24. Find the value of B. 4 Kasim and Jamil share their money to buy a shirt which costs RM48. The ratio of Kasim’s money to Jamil’s money is 5 : 7. How much money does Kasim spend? 5 In a recipe, the ratio of the number of tablespoons of salt to the number of tablespoons of black pepper is 2 : 3. The mass of salt used is 10 g. What is the mass, in g, of the black pepper? 6 Simplify the ratio of 8 : 14. 7 State the ratio of RM25 to RM40 in the simplest form. Question 8 until 10 is based on the diagram below. 8 State the ratio of the number of to the number of . 9 State the ratio of the number of to the total number of shapes. 10 State the ratio of the total number of shapes to the number of . s = 3 km t = 4 km L Answer balloons LET'S EXPLORE
207 8.1.1 Guide pupils to relate the fractions with angles to represent data in a pie chart. TUESDAY STAMP COLLECTION 11 OCTOBER 2022 1 State the number of flower stamps. Give reasons. Have a look and relate the two diagrams with the pie chart. 1 8 and 45° represent flower and plant stamps. Let’s try to explain. 90° 45° 45° 180° Insect 20 10 5 Bird Flower 1 2 1 4 1 8 1 8 Bird stamps are represented by 1 4 or 90°. 1 2 has a value of 180° angle and also represents 20 insect stamps. DATA HANDLING AND LIKELIHOOD 8 COMPLETE PIE CHART AND INTERPRET DATA Plant
208 16 ÷ 8 = 2 8.1.1 The total number of marbles is 16. 16 marbles represent a circle. Divide the circle into 8 equal parts. Find the number of marbles for one part. a The fraction of red marbles is and is represented by 180°. b The fraction of blue marbles is and is represented by . c The fraction of green marbles is and is represented by . d The mode is with the highest number of marbles, which is . Present the data of the number of marbles in pie chart based on the values of angles given. 90° 45° 45° 180° Colours of the Marbles 2 Colour Number of marbles Red 8 Blue 2 Green 4 Yellow 2 Colour Number of marbles Fractions Red 8 8 16 = 1 2 Blue 2 2 16 = 1 8 Green 4 4 16 = 1 4 Yellow 2 2 16 = 1 8 Total 16 16 16 = 1 90° 4 8 2 2 45° 45° 180° Blue Green Yellow Red Recall the meaning of mode. Encourage pupils to interpret data regarding range, median, and mean based on the suitable data of the pie chart. Colours of the Marbles 2 45° 2 2 2 2 2 2 2 180° 90° 45°
209 8.1.1 Prepare a circle of 45°, 90° and 180° angles to carry out an activity to complete pie chart and interpret data. 3 The incomplete pie chart and table show the data of 24 pupils’ favourite doughnut flavours. a Complete the pie chart. b Complete the sentences below based on the pie chart. i 45° represents peanut doughnuts and the number is . ii 90° represents doughnuts and the number is . iii Peanut and doughnuts are represented by angle because their numbers are equal. iv The number of most favourite doughnuts is and is represented by angle. v The number of pupils who like doughnuts is half of the number of pupils who like doughnuts. 24 pupils represent a circle. Flavour Number of doughnuts Chocolate Strawberry 12 Vanilla 6 Peanut The parts that represent chocolate and peanut doughnuts have equal values of angles. 45° is half of 90°or 6 doughnuts. Half of 6 doughnuts is 3 doughnuts. Favourite Doughnut Flavours Strawberry Vanilla 45° 90° Favourite Doughnut Flavours Chocolate Peanut Strawberry 12 3 3 Vanilla 6 45° 45° 90° 180° 90° 45° 45° 180° 3 6 3 12
210 Sport Number of pupils Values of angles Hockey 5 45° Football 20 Badminton 10 Table Tennis 5 45° 8.1.1 The pie chart shows the number of pupils who scored grades A, B, C, and D in a mathematics test. What is the total number of pupils who sat for the test? Explain. Mathematics Test Achievement Grades 90° 45° D C A 22 pupils B 45° 180° 4 Who completes the pie chart correctly? Write three information based on the correct pie chart. Football 20 10 180° 45° 90° 45° 5 5 Badminton Hockey Table Tennis Football 20 10 45° 180° 90° 45° 5 5 Badminton Hockey Aliza Remind pupils that the largest part of the pie chart represents the largest value of angle and the most number of data. FAVOURITE SPORTS FAVOURITE SPORTS Table Alex Tennis THINK SMART THINK
211 Tools/Materials Participants Task 8.1.1 Pie chart cards and data cards. 2 pupils in a group. 1 Each group picks a pie chart card and a data card. Scan the QR code to print the pie chart cards and data cards to carry out the Try It Out activity. 2 Complete the data and values of angles in the pie chart card. 3 Write three information based on the pie chart created. 4 Present your work. Favourite Fruits Favourite Fruits Orange 32 Kiwi 16 Mangosteen 8 Apple 8 Information based on the pie chart 1. The most favourite fruit is orange. 2. The difference between the number of mangosteen and kiwi is 8. 3. The fraction of apple from the total number of fruits is 1 8 . TRY IT OUT Fruit Number of fruits Apple 8 Kiwi 16 Mangosteen 8 Orange 32 SCAN ME PIE CHART CARDS AND DATA CARDS
212 8.1.1 1 Complete the pie chart by labelling the information based on the table. 3 The table shows the favourite food of 64 children. 45° 90° 45° 180° a Complete the pie chart. b Write three information based on the pie chart. a Complete the number of athletes in the pie chart if the number of athletes from school P is 3 athletes. b State the number of athletes from schools Q, R, and S. c State the value of angle represented by the least number of athletes. d Calculate the difference between the number of athletes of schools S and P. Vertebrate Animals Favourite Food The Number of Athletes from Four Schools 90° Q S R P 45° 45° 180° Vertebrate animal Number of animals Reptiles 6 Mammals 12 Birds 24 Fish 6 Favourite food Number of children Nasi lemak 32 Fried noodles 8 Fried rice 16 Lontong 8 2 Use various questions involving different situations such as favourite cakes and pupils’ ambitions. LET’S DO IT LET’S DO IT
213 8.2.1 8.2.2 Explain to pupils that an event is something that will definitely occur and likelihood is an event which is likely or unlikely to occur. A sea turtle climbs a tree is an unlikely event to occur. The likelihood for a sea turtle to climb a tree is impossible because a sea turtle is unable to climb a tree. Hahaha… it is impossible for a sea turtle to climb a tree, teacher! 1 impossible unlikely to occur likely to occur less likely equally likely more likely certain • possibility of an event to occur • an event is likely to occur • an event is unlikely to occur • there are five likelihood of an event LIKELIHOOD LIKELIHOOD Zakri, please read your event card. Can you state whether the event is likely or unlikely to occur? A sea turtle climbs a tree. This event is unlikely to occur, teacher. WEDNESDAY 26 OCTOBER 2022
214 8.2.1 Stimulate pupils’ thinking to determine a likely or unlikely event to occur by providing a few examples of events. Ask pupils to give the reasons. 2 a b I need dark green colour. Dark green colour is likely to occur if you use more volume of blue colour. Alright, teacher. I will mix more blue colour compared to yellow. Green colour is produced by the mixture of blue and yellow colour. A duckling will hatch from a chicken’s egg. Dark green colour will be produced if more blue colour is added compared to yellow. A chick will hatch from a chicken’s egg. a likely event to occur an unlikely event to occur Give another example of events as a and b and state the reasons. Event Reason Reason Event
215 8.2.1 Carry out 21st Century Learning activity, Think-Pair-Share to state whether an event is likely or unlikely to occur and provide reasons. That’s right, Chua. The plant is also unlikely to survive without being watered. The shoot of the plant is likely to grow out from one of these holes to get sunlight. Will the plant grow as tall as the box? State whether the event is likely or unlikely to occur. Give reasons. My throw will likely knock down both pins. 3 4 I reckon it is unlikely that both pins will be knocked down.
216 8.2.2 Can you justify based on events a and b ? Do opposite magnetic poles attract each other? Look at this, Kugan. Opposite magnetic poles will attract each other. 1 The likelihood of opposite magnetic poles to attract each other is certain . This is because the opposite magnetic poles will create a magnetic field between each other. Discuss with pupils regarding certain or impossible events to occur. Ask pupils to provide a reasonable reason. 2 a September consists of 30 days. Likelihood of the event: certain / impossible Reason: ____________________ b October comes after November. Likelihood of the event: certain / impossible Reason: ____________________ Similar magnetic poles will attract each other as well. What is the likelihood of this event? CERTAIN OR IMPOSSIBLE 8 15 22 7 14 21 28 29 6 13 20 27 5 12 19 26 4 11 18 25 3 10 17 24 1 2 9 16 23 30 31 10 17 24 9 16 23 8 15 22 29 30 7 14 21 28 6 13 20 27 5 12 19 26 1 2 3 4 11 18 25 SEPTEMBER 2022 OCTOBER 2022 SUN MON TUE WED THU FRI SAT SUN MON TUE WED THU FRI SAT
8.2.2 217 1 Based on the situation, state the likelihood of all the clothes getting dried. What is the reason? What is the likelihood of the number wheel stopping at even numbers after being spun? The total number of even and odd numbers is equal. Hence, the likelihood of the number wheel to stop at even numbers is equally likely. The weather is sunny and windy today. Carry out speed answer quiz by giving possible reasons individually regarding various events which have the likelihood of certain, impossible, equally likely, and more likely. More likely that all the clothes will get dry. The sunny and windy weather will cause evaporation to take place and dry the clothes. Spin the wheel to get a question number. MORE LIKELY OR LESS LIKELY EQUALLY LIKELY MATHEMATICS QUIZ 31 OCTOBER 2022 12 11 10 9 8 7 6 5 4 3 2 1
218 8.2.2 2 Scan the QR code to print the Try It Out materials. The materials can be modified by adding the number of event cards or by giving different event cards to each group. Event Likelihood Reason Get yellow ball Less likely There is only one yellow ball. Get blue ball More likely Get green ball Jackie throws a dice. What is the likelihood of Jackie getting a prime number? Tools/Materials GROUP ACTIVITY Task Participants 2 pupils in a group. Complete the table. What is the likelihood of Alicia getting the yellow ball? It is less likely because there is only one yellow ball. The number of blue balls is more. Likelihood tables, event cards, scissors, and glue. 1 Cut the event cards. 2 Paste the event cards in the likelihood table. 3 Write a reasonable reason for each of the likelihood events. 4 Present the outcome in front of class. 5 Cross-check answers with other groups for improvement. 6 Display the work at the mathematics corner. THINK SMART THINK TRY IT OUT SCAN ME LIKELIHOOD TABLES AND EVENT CARDS
219 8.2.1 8.2.2 2 State the likelihood for each of the following events. Give a reasonable reason. No. Event Likelihood Reason a 2021 is a leap year. b There are seven days in a week. c A tossed coin shows a tail. d A regular octagon consists of eight angles of equal size. e A dice is rolled and the outcome of the number is lesser than six. f One out of 2 girls and 8 boys is chosen as a prefect in a class. g Heavy rain will cause flood in the area that has drainage problem. h A dice is rolled and the outcome is an even number. i There are 28 days in March. j A green marble is picked randomly from a container that has one green marble and 5 blue marbles. a certain b impossible c less likely d more likely e equally likely 3 Write an event for each of the likelihoods. State the reason. 1 State whether the following events are likely or unlikely to occur and give a reason. a Malaysia Day is celebrated in May. c An odd number is between two even numbers. e Waterfall flows from a lower level to a higher level. g Plants require air to breathe. b Sarawak citizens celebrate Hari Gawai. d Leap year occurs every five years. f Ten thousands is more than hundreds but less than millions. h A kite can fly high. LET’S DO IT LET’S DO IT
220 Solution 8.3.1 The likelihood of Nik Syafiq picking a white table tennis ball is more likely. The situation shows Nik Syafiq who is about to pick a table tennis ball. Asha states that the likelihood of Nik Syafiq picking the white table tennis ball is more likely. Is it true? Prove it. 1 • 10 white table tennis balls. • 3 orange table tennis balls. • Nik Syafiq wants to pick one table tennis ball. • Asha states that more likely Nik Syafiq will pick a white table tennis ball. Colour of table tennis ball Colour of table tennis ball probably picked Prediction Orange and white Orange or white More likely a white table tennis ball will be picked because the number of white table tennis balls is more. Colour of table tennis ball picked White Orange 1st trial ✔ 2nd trial ✔ 3rd trial ✔ 4th trial ✔ 5th trial ✔ Asha states the truth because the number of white table tennis balls is more compared to the number of orange table tennis balls. Prove Asha’s statement is true. Carry out simulation. Carry out simulation using different objects such as blue and red pens or two different colours of board game counters to enhance pupils’ understanding. SOLVE THE PROBLEMS Given Asked for Solve Check
221 Solution 8.3.1 2 The pie chart shows food bought by a group of pupils during recess. 12 pupils bought nasi lemak. a What is the value of angle that represents the largest part? b What is the total number of pupils who bought food during recess? • The value of angle of curry noodles is 45°. • The value of angle of noodles soup is 45°. • 12 pupils bought nasi lemak. a The largest part is fried rice, which is half of the circle. The value of angle for a quarter of the circle is 45° + 45° = 90°. Two quarters of a circle is equal to half of a circle. Therefore, the value of the angle of half a circle is 90° + 90° = 180°. • Find the value of angle that represents the largest part. • Calculate the total number of pupils during recess. Remind pupils that the value of angle for a complete circle is 360°. Vary questions by changing the information regarding the value of angles and the quantities. Make sure the value of angles involve only 45°, 90°, and 180°. The total number of pupils who bought food during recess is 48 pupils. The value of angle which represents the largest part is 180°. a b 4 × 12 pupils = 48 pupils b 12 pupils represent a quarter of the circle. 12 pupils 12 pupils 12 pupils 12 pupils Total number of pupils 1 2 pupils 1 2 pupils 1 2 pupils + 1 2 pupils 48 pupils 45° 180° 2 45° × 4 1 80° Check Understand the problem Plan the strategy and Solve Food Bought at SK Seri Murni Canteen 45° Noodles soup Nasi lemak Fried rice 45° Curry noodles
222 90° 45° 45° 180° 30 kg 60 kg 15 kg 15 kg Key: Rambutan Langsat Mangosteen Mango Fruits Sold Solution 8.3.1 3 The pie chart shows four types of fruits sold. The mass of rambutan sold is 30 kg. Complete the values of the angles and mass on the pie chart if the mass of langsat and mangosteen sold is the same. • The mass of rambutan is 30 kg and the angle is 90°. • The mass of langsat and mangosteen is equal. • The mass of mangosteen is half the mass of rambutan. • The mass of mango is twice the mass of rambutan. Complete the mass and angle values on the pie chart. Fruit Mass The value of angles Rambutan 30 kg 90° Langsat 1 2 × 30 kg = 15 kg 1 2 × 90° = 45° Mangosteen 15 kg 45° Mango 2 × 30 kg = 60 kg 2 × 90° = 180° Four Types of Kuih Sold Solve the problems. a The pie chart shows four types of kuih sold. 24 pieces of curry puffs are sold. State the number of doughnuts and keria which are sold. 90° Rambutan Mango Mangosteen Langsat 180° 45° 45° 90° curry puff doughnut keria ketayap b Player A has won four out of five matches against player B. What is the likelihood of player B winning the sixth match? Give the reason. Fruits Sold LET’S DO IT LET’S DO IT
223 8.1.1, 8.2.1, 8.2.2, 8 3.1 1 Identify the event which is likely or unlikely to occur. Give the reason. No. Event Likelihood Reason a A whale feeds milk to the calf. b The heptagon consists of nine sides. c The weather is cloudy and it is going to rain soon. d Engkili or Damit will be chosen as the class monitor of Year 6 Galaxy. e A red pen is picked randomly from a container that has 1 red pen and 7 pencils. 2 Complete the table. 3 Solve the problems. a The pie chart shows the number of participants for a Mathematics e-Quiz. The number of participants from Perlis is 10. i Calculate the number of participants from Johor. ii What is the number of participants from Malacca? iii Find the number of male participants if the number of female participants is a quarter of the total participants. October has 31 days. A rooster lays egg. Malayan tiger is extinct. A road has pothole. Sun rises in the South. A sapling grows. b There are 8 black buttons and 2 blue buttons in a container. Wafiq is requested to pick a button randomly. i State the likelihood of Wafiq picking a blue button. ii State the likelihood of Wafiq picking a black button. iii What should be done to ensure that the likelihood of Wafiq picking the blue button is equally likely? Mathematics e-Quiz 45° 45° 180° Malacca Johor Perlis Labuan LET’S PRACTISE
224 8.2.1, 8.2.2 Tools/Materials Participants How to play Rubber bands, 15 cm stick (pushed into the ground), drinking water bottles (fully filled), tennis balls and games table. 2 pupils. Name: __________________ Game A: Stand stick Toss Likely in or out Toss 1 Toss 2 Toss 3 Toss 4 Toss 5 The likelihood of your toss to land to the targeted stick is Name: __________________ Game B: Bottle bowling Throw Likely knock or not Throw 1 Throw 2 Throw 3 Throw 4 Throw 5 The likelihood of your throw will knock the bottle is 1 Carry out the games in turns. 2 Each pupil will play both games once and toss or throw for five times. 3 Record the results of the toss and throw individually into the table provided for each game. 4 Complete the table of the game. 5 Paste the table of the game in the exercise book. Rules of Game A: Stand stick a Push the stick into the ground. b Stand 1 metre away from the stick. c Toss the rubber band to the targeted stick. Rules of Game B: Bottle bowling a Place the bottle 2 metres away from your position. b Throw a tennis ball towards the bottle. Scan the QR code to get the games table. LET'S EXPLORE SCAN ME GAMES TABLE
225 5. A. Choose the correct answer. Ipoh, Malaysia 30 August 2022 2345 hours Tokyo, Japan 31 August 2022 0045 hours Kuala Lumpur Tower, 8 September 2022 6:00 p.m. 1. Look at the local time in both cities above. What is the time in London when the time in Kuala Lumpur is 5:00 p.m.? A. 6:00 p.m. B. 8:00 p.m. C. 10:00 a.m. D. 8:00 a.m. 2. Compare the time in Tokyo with the time in Ipoh. A. 1 hour ahead of Ipoh. B. 1 hour behind Ipoh. C. 2 hours ahead of Ipoh. D. 2 hours behind Ipoh. 3. The time in Riyadh is 5 hours behind the time shown above. State the time in Riyadh. A. 1:00 a.m. B. 11:00 a.m. C. 1:00 p.m. D. 11:00 p.m. 4. Which of the regular polygon has interior angles of 120° each? A. B. C. D. Based on the diagrams above, the mass of block B is 45 kg. What is the mass of block A? A. 50 kg B. 60 kg C. 70 kg D. 75 kg 6. 1 500 m 500 m 10 cm Based on the information given above, what is the height of the 1 500 m water bottle? A. 15 cm B. 25 cm C. 30 cm D. 40 cm 7. 5 kg of cooking oil is equal to 6.25. Danish uses 3 kg of cooking oil. How much volume, in, of the cooking oil used? A. 3.75 B. 3.5 C. 2.75 D. 2.5 7:00 a.m. 2:00 p.m. London, Friday 25 November 2022 7:00 a.m. 2:00 p.m. Kuala Lumpur, Friday 25 November 2022 SELF-TEST 50 cm 30 cm B A
226 8. A. O is the radius and j is the diameter. B. O is the centre of the circle and j is the radius. C. O is the centre of the circle and j is the diameter. D. O is the diameter and j is the circumference of the circle. 9. Which of the following is a regular pentagon? 120° 108° 108° 108° 108° 96° 100° 116° 108° 108° A. B. 10. Greenwich Mean Time (GMT) is the basis to determine world time zones. A. 12 B. 20 C. 24 D.30 11. Choose the correct meaning of diameter. A. A straight line which connects the centre of the circle with the circumference. B. A closed curve that forms the boundary of a circle. C. A point located in the middle of the circle. D. The straight line that connects two points on the circumference and passes through the centre of a circle. Questions 12 and 13 are based on the Cartesian plane below. The Cartesian plane shows the locations of three places. 12. What is the vertical distance, in km, of Nibong Hill from the swimming pool? A. 2 km B. 3 km C. 4 km D. 5 km 13. State the horizontal distance of Nibong Hill from the house. A. 1 km B. 2 km C. 3 km D. 4 km 14. Day Monday Tuesday Wednesday Number of animals 6 12 3 Number of animals treated at Permai Veterinary Clinic Based on the table above, state the ratio of the number of animals treated on Monday to the total number of animals treated for the three days. A. 2 : 5 B. 1 : 3 C. 2 : 7 D. 7 : 2 j O 108° 108° 150° 66° C. D. 108° 108° 108° 108° 108° 108° Scale 1 cm represents 1 km O 1 Nibong Hill Swimming pool House 1 2 3 4 5 2 3 y x 4 5 6 7 1 cm 1 cm What is O and j?
227 15. State the ratio of the mass of flour to the mass of sugar. A. 3 : 2 B. 6 : 4 C. 2 : 3 D. 6 : 4 000 16. The total body mass of Selena and Patricia is 85 kg. The ratio of Selena’s body mass to Patricia’s body mass is 2 : 3. Find Selena’s body mass. A. 17 kg B. 21 kg C. 34 kg D. 51 kg 17. The horizontal distance of Aliff’s house from the school is 6 km and the vertical distance is 4 km. Which one is Aliff’s house? A. House A B. House B C. House C D. House D 18. Online Quizzes Kahoot Quizizz Google Form Wordwall Key: The pie chart shows the types of online quizzes which have been used by a group of teachers. The number of teachers who used Kahoot were 12. How many teachers used Wordwall? A. 12 teachers B. 24 teachers C. 36 teachers D. 48 teachers 19. A dice is tossed once. What is the likelihood of getting a number that is more than 3? A. Equally likely B. Certain C. More likely D. Less likely 20.Choose an event that has a certain likelihood. A. James can lift a 700 kg weight. B. Rizal can jump 500 m in a long jump event. C. Kumari celebrates her birthday on 29 February 2024. D. Syira is 10 years old and she is a Year 6 pupil. 21. Which of the following regular polygon can be produced by the combination of six equilateral triangles? A. Pentagon B. Hexagon C. Heptagon D. Octagon 90° 45° 6 kg 4 000 g 180° SUGAR FLOUR O 1 House C House A House D House B 1 2 3 4 5 2 3 y x 4 5 6 SEKOLAH School Scale 1 2 3 4 5 km
228 The picture shows two cylindrical-shaped grape juice containers of the same size. a State the ratio of the level of grape juice in container A to the level of grape juice in container B. b Calculate the volume of grape juice in container A. c Find the percentage of the volume of grape juice in container A. The pictures and information above show three family members who are living in different countries. a What is the time difference between Muar and Cairo? b The time in Jakarta is 1 hour behind Muar. State the time in Jakarta at that moment. 2. Town A and town B are in different time zones. The time in town A is 5 hours ahead of town B. a State the time in town B when the time in town A is 1235 hours. b The clock tower in town B shows the time as 10:45 in the evening, Friday, 12 August 2022. Find the local time in town A. 3. A few players from several countries take part in an online sports competition. The Malaysian player is scheduled to face a player from Amsterdam, Netherlands in the first round on 5 March 2022. The time in Malaysia is 7 hours ahead of Amsterdam. The game starts at 8:10 in the evening in Kuala Lumpur. a What is the time in Amsterdam at that moment? B. Solve the following questions. b A fan from Riyadh, Saudi Arabia watches the match. The time in Riyadh is 5 hours behind Malaysia. State the time in Riyadh. c Calculate the time difference between Amsterdam and Riyadh. 4. The picture above shows the length and mass of a piece of wood. The wood is cut into two parts. The length of one part of the wood is 40 cm. Is the mass of the 40 cm wood 1 000 g? Prove it. 5. 60 cm 1.5 kg Puan Hamimah Muar, Johor 1515 hours Cairo, Egypt 0915 hours Rafiq Jakarta, Indonesia Dina 40 25 cm 50 cm 1.
229 6. The mass of brown sugar is 823 g and becomes 1 000 mof brown sugar syrup after being melted. a Mum melts 411.5 g of brown sugar. Calculate the volume of the brown sugar syrup that will be produced. b Mum needs 2 500 mof brown sugar syrup. What is the mass of the brown sugar, in g, needed? 7. A polygon consists of 6 sides of equal length and 6 interior angles of equal size. Complete the picture of the regular polygon below and measure the interior angles. 8. Using a protractor, draw and name the following angles. a 20° b 145° c 90° 9. Draw a circle based on the information given. Label all the characteristics of the circle. a 4 cm of radius. b 5.5 cm of radius. 10. Sardi draws three circles. The radius of circle A is 2 cm more than the radius of circle B. The radius of circle C is 1 cm more than the radius of circle A. Which circle is the largest? 11. The Cartesian plane shows the locations of a few buildings in a town. a What is the vertical distance of the museum from the stall? b State the horizontal distance of the theme park from the museum. c Calculate the horizontal and vertical distances of the theme park from the stall. d Which building is located 4 km horizontally and 3 km vertically from the museum? e Name two buildings that have an equal horizontal and vertical distances from the bus terminal. 12. The ratio of the number of books read by Shanti to the number of books read by Chua in a week is 3 : 4. The total number of books read by both of them is 21. Calculate the number of books read by: a Shanti. b Chua. Scale 1 : 100 000 1 cm 1 cm O 1 Stall Shopping mall Theme park 1 2 3 4 5 2 3 y x 4 5 Museum Bus terminal
230 13. Fried noodles RM4 Chicken rice RM6 The pictures show the price for two types of food. State the ratios in the simplest form: a the price of fried noodles to the price of chicken rice. b the price of chicken rice to the price of fried noodles. c the price of fried noodles to the total price of fried noodles and chicken rice. d the price of chicken rice to the total price of fried noodles and chicken rice. 14. The pie chart shows the islands in Malaysia which are preferred to be visited by 120 pupils. Preferred Islands to be Visited Leisure Activities Tioman Island Mabul Island Redang Island Langkawi Island 45° 45° a State the values of angles of Langkawi Island and Tioman Island. b How many pupils prefer to visit Mabul Island? c Find the difference between the number of pupils who prefer to visit Tioman Island and Redang Island. 15. Sports Reading Gardening 45° 180° Fishing The number of residents who like fishing is 32 people. a How many residents like to do gardening, reading, and sports? b State the value of angle that represents sports activity. c Calculate the difference between the number of residents who like fishing and the number of residents who like reading. 16. a What is the likelihood of Emilia choosing a piece of butter cookies? Why? b What is the likelihood of Emilia choosing a piece of chocolate cookies? Give your reason. c What is the likelihood of Emilia choosing a piece of peanut cookies? State the reason. Emilia has 12 pieces of chocolate cookies and 3 pieces of butter cookies in the container as shown in the picture.
231 Ascending order Arrangement of numbers from the smallest to the largest value. Basic operations Mathematical operations, which are addition, subtraction, multiplication, and division. Coordinates A pair of number that determine the point over the x-axis and the y-axis. Customer The people (buyer or user) who does transaction with sellers or service providers. Decimal place The position of a digit after the decimal point. Decimal point A point that separates whole number and decimal fraction. Decimal Numbers that represent fractions with denominators of 10, 100, 1 000, and so on. Descending order Arrangement of numbers from the largest to the smallest value. Difference Differences in quantity or value between two groups of objects or values. The difference is obtained by subtracting two numbers. Dividend rate Percentage of profit given on money invested for business or shares. Divisor A number that divides another number. East One of the four directions of the wind. Opposite of the west. The Sun rises in the east. Equilateral triangle A triangle that has three sides of equal length and all angles are of equal size. Event An event or something that happens. Fraction Part of one thing, a group, or a number. Group A set of things. Horizontal distance The length between two dots or objects that are parallel to the x-axis. Insurance A coverage agreement that has conditions for compensation in the event of theft, damage, injury, or death. Interest rate The profit rate in percentages fixed against a particular savings or loan for a specified period. Interior angle The angle formed by the latitude of two lines, and is located between the two lines. Investment Money used for certain businesses that will provide future profits. Investor The person who makes fixed contribution to a fund or company. Length Distance or measurement between two points or from end to end. Likelihood A probability that something is likely or unlikely to occur. Loan Financing for a purpose received from a financial institution and is charged with interest. Also known as debt. Local time Real time for local area. Mass The quantity of matter of an object that is not affected by gravitational pull. Meridian Imaginary lines drawn on Earth from the South Pole to the North Pole. This line from south to north is called a longitude line or longitude only. Mixed numbers A number represented by a whole number and a proper fraction. Mixed operations Combination of two or more mathematical operations. Mode The value that has the highest frequency in a set of data. Number pattern Specific pattern in the order of number. GLOSSARY
232 Percentage The way to specify a number as a fraction of 100 with the % symbol. Perpendicular line A straight line that intersect or cross another straight line at a right angle. Pie chart Diagrams that show division or breakdown of data or information in circles. Each value is represented by one sector of the circle. Proportion A mathematical statement that shows the relationship between two quantities or values in the same ratio. Protractor A tool for measuring angles. Provider The person who provides or supplies goods or services. Quantity Total or number of things. Regular heptagon A two-dimensional closed shape with 7 straight sides of equal length. Regular hexagon A two-dimensional closed shape with 6 straight sides of equal length. Regular octagon A two-dimensional closed shape with 8 straight sides of equal length. Regular pentagon A two-dimensional closed shape with 5 straight sides of equal length. Regular polygon A two-dimensional closed shape with all straight sides of equal length. Remainder Surplus after two numbers is subtracted or by a division that has a balance. Sales discount Discount given to wholesaler for goods bought in cash and in large numbers. Scale The ratio of the size of the drawing to the size of the actual object. Simplest form Smallest form where numerators and denominators are in prime numbers except 1. Square A quadrangular that has four sides, four upright corners, and each side of equal length. Straight line A line that is not crooked, has no width and is either horizontal, vertical, or inclined. Takaful Islamic insurance concept that adhere to the ethics and transparency of Syariah guidelines that prohibit uncertainty (Gharar), gambling (Maisir), and interest (Riba). Time zone An area of 18 longitudes wide which throughout its parts have the same time and starts from the Greenwich meridian. Time The past period to the present period until the future that can be measured using clocks or other time calculation tools. Traders The person who provides goods for sale (the seller). Unknown Unknown value or quantity and written as a symbol or letter. Vertical distance The length between two dots or objects that are parallel to the y-axis. Volume of liquid The amount of liquid that can fill a container. West One of the four directions of the wind. Opposite of the east. The Sun sets in the west. Whole number Number that starts from zero and so on, and does not have fraction or decimal.
UNIT 1: WHOLE NUMBERS AND OPERATIONS ............................................................... THINK SMART (pg. 3) 3 647 915 , 3 791 465 , 3 915 764 , 3 157 946 Accept any reasonable answers. THINK SMART (pg. 8) THINK SMART (pg. 12) 1 234 321 = 1 111 × 1 111 P = 2 375 000 , Q = 2 875 000 THINK SMART (pg. 26) THINK SMART (pg. 35) THINK SMART (pg. 36) 1.74 million 0.3 million or 300 000 THINK SMART (pg. 38) 1.715 million or 1 715 000 LET’S PRACTISE (pg. 58) 1. a. three million five hundred eighteen thousand and fourty-two b. one million ninety thousand two hundred and fifty-six c. four million seven thousand nine hundred and eighty d. five million fourty thousand and nineteen e. 8 709 181 f. 9 253 000 g. 2 050 806 2. a. The number pattern increases by twelves. b. x = 8 007 092 y = 8 007 104 3. Prime number Composite number 11 8 29 24 41 35 67 80 233 6.23million ÷ 7 = 0.89million 4. a. one and three-fourths of a million, one and three-quarters of a million. b. 1 8 million c. 5 7 10 million 5. a. 200 000 b. 1 095 000 c. 200 000 d. 4 375 000 e. 6 900 000 6. 600 000 750 000 2 800 000 3 500 000 9 625 000 0.6 million 0.75 million 2.8 million 3.5 million 9.625 million 3 5 million 3 4 million 2 4 5 million 3 1 2 million 9 5 8 million 7. a. 9 290 680 b. 2.692 million or 2 692 000 c. 1.26 million or 1 260 000 d. 6.44 million or 6 440 000 8. a. 7.7 million b. 3.075 million 9. a. 503 000 b. 1 4 million 10. a. 1.76 million b. 4 9 10 million c. 8.25 million or 8 250 000 or 8 1 4 million d. 4.44 million or 4 440 000 e. 3.95 million or 3 950 00 f. 0.285 million or 285 000 11. a. 270 000 or 0.27 million b. 4 000 or 0.004 million c. 2.95 million or 2 950 000 d. 0.642 million or 642 000 e. 4 000 or 0.004 million f. 1.775 million or 1 775 000 12. a. 3.142 million or 3 142 000 b. 1.241 million or 1 241 000 c. 5.425 million or 5 425 000 d. ( 2 5 million – 0.04 million) ÷ 100 = 3600 e. 2.775 million or 2 775 000 UNIT 2: FRACTIONS, DECIMALS, AND PERCENTAGES ........................................................ THINK SMART (pg. 66) THINK SMART (pg. 69) = 1 = 2 = 3 3.1 x 2.6 or 2.6 x 3.1 THINK SMART (pg. 77) THINK SMART (pg. 85) 400% 0.75 THINK SMART (pg. 89) THINK SMART (pg. 91) 1 5 or 0.2 a = 5 LET’S PRACTISE (pg. 99 – 100) 1. a. 1 8 b. 1 6 c. 2 5 d. 1 15 e. 2 3 f. 2 11 12 g. 2 8 21 h. 6 i. 182 5 2. a. 24 5 b. 12 c. 1 2 d. 1 1 2 3. a. 1.08 b. 4.757 c. 60.354 d. 4.8 e. 9.9 f. 0.225 g. 3.65 h. 9.64 i. 20.631 j. 1.5 k. 30.6 l. 84.28 4. a. 165%, 3.3, 660% b. 1.6, 2.72 5. a. i. 65% ii. 25% b. i. 301% ii. 12% 6. a. 10.5 m b. 22.05 hours c. 7.992 kg d. 89.44 e. 3 . 1 6 × 9 . 2 6 3 2 + 2 8 4 4 0 2 9.0 7 2 7. a. 300% b. 140% 8. a. 255% b. 190% 9. 10.5 2.5 × 100% = 1 050 2.5 % = 10 500 2.5 % = 420% (true) 10. a. 6.5 minutes b. 0.02 c. 4.07 km d. 63.6 kg e. 1.44 f. 0.315 g. 41 1 2 h. 1.5 i. 16.35 j. 62.3 11. a. 465.125 cm2 b. i. 3 4 m ii. 6 c. 0.55 d. 1.68 hours e. i. 150% ii. 1.6 UNIT 3: MONEY ........................................................................................................................ THINK SMART (pg. 109) 25%, RM15 LET’S PRACTISE (pg. 133 – 135) 1. a. Loss, RM22 b. Profit, RM145 c. Loss, RM20 d. Profit, RM60 e. Loss, RM5.50 2. a. RM450 b. RM790 c. RM750 3. a. RM280 b. RM3 600 c. RM4 079 d. RM392 000 4. A4 Papers = RM400, Files = RM120, Pocket dictionaries = RM1 200 Total = RM1 720, Deduct sale discount 10% = RM172, Total payment = RM1 548 5. a. Total: RM500, Service tax 6%: RM30, Total payment = RM530 b. Voucher value: RM50 6. a. RM950 b. RM120 7. Total value of asset: RM150 500, Total value of liability: RM63 460 8. i. to accommodate medical treatment expenses ii. receive financial compensation due to house destruction iii. claim insurance to repair car due to accident 9. a. i. RM1 302 ii. RM9 548 b. Ain: RM87 844, Maryanti: RM87 499, Puan Ain manages her financial better. c. RM3 570 d. RM135 e 70 100 × RM2.50 = RM1.75 70 100 × RM4.50 = RM3.15 70 100 × RM8 = RM5.60 Total = RM10.50 (insufficient) f. RM40 and RM40, RM50 and RM30, and accept any reasonable answers. SELF-TEST (pg. 137 – 140) A. Choose the correct answer. 1. C 2. C 3. B 4. D 5. B 6. A 7. B 8. B 9. D 10. C 11. D 12. D 13. A 14. B 15. C 16. A 17. D 18. D 19. B 20. D 21. D 22. B 23. C 24. A 25. B 26. A 27. A 28. D 29. B B. Solve the following questions. 1. a. 7, 13, 43 b. 9, 35, 81 2.a. R b. 100 000 3. a. 1 3 10 b. 62 5 4. a. 2 b. 25.35 c. 87% 5. RM260, RM350 6. a. 250% b. q = 2.25, 1.5 7. 12 8. 284 000 9. a. 2 475 000 b. R = 625 000 S = 2.5 × 250 000 = 625 000 (true) 10. a. RM72 b. RM1 272 11. 12.6 km 12. a. 0.5 m / 1 2 m b. 4.75 m 13. a. 2.16 b. 150% 14. a. RM15 000 b. RM1 485 000 15. RM27.90 16. 100 000 17. RM6 100 18. RM480 19. Assets: RM50 000 + RM35 000 = RM85 000 Liabilities: RM1 460 + RM15 000 = RM16 460 Yes. The value of assets exceeds the value of liabilities. UNIT 4: TIME ............................................................................................................................ THINK SMART (pg. 146) City P 1710 hours, City Q 1210 hours, 5 hours LET’S PRACTISE (pg. 153) 1. 24 time zones 2. The time difference between Rio de Janeiro and Greenwich: 3 hours The time difference between Madrid and Labuan: 7 hours The time difference between Labuan and Gold Coast: 2 hours The time difference between Greenwich and Mecca: 3 hours The time difference between Mecca and Gold Coast: 7 hours 3. 5 hours 4. 0754 hours or 7:54 a.m. 5. a. 2300 hours b. i. 1835 hours or 6:35 p.m. ii. 1200 hours or 12:00 noon. c. i. 0430 hours or 4:30 a.m. ii. 0310 hours or 3:10 a.m. UNIT 5: MEASUREMENT ......................................................................................................... LET’S PRACTISE (pg. 163) a. 1 000 g b. i. 7.65 kg ii. 2.55 kg c. 52.5 cm d. i. 576 mof water and 160 g of anchovies ii. 500 g of wheat flour and 360 mof water UNIT 6: SPACE ........................................................................................................................ THINK SMART (pg. 177) Raymond might draw an equilateral triangle and a square. Charles might draw a hexagon and an octagon. ANSWERS
234 THINK SMART (pg. 182) radius 4 cm O diameter circumference of the circle centre of the circle LET’S PRACTISE (pg. 185 – 186) 1. a. 5 cm 60° b. 3 cm 135° c. 6.5 cm 108° 2. 5.3 cm 90° 3. a. 40° b. 65° c. 89° d. 125° e. 160° f. 173° 4. A circle has a centre of a circle, radius, diameter, and circumference of a circle. 5. a. 4 cmO b. O 4.7 cm c. 5.2 cm O 6. a. 5 cm 5 cm 5 cm 5 cm 5 cm b. i. 3 m ii. 1 m 1 m 1 m 3 m 1 m c. The size of cake board should be bigger than the cake size. 28 cm long and 28 cm wide. Accept any other reasonable answers. UNIT 7: COORDINATES, RATIO, AND PROPORTION .......................................................... THINK SMART (pg. 188) THINK SMART (pg. 195) 7 cm The number of cats to the total number of cats and tortoises. THINK SMART (pg. 198) THINK SMART (pg. 203) 96 3 : 4 LET’S PRACTISE (pg. 205) 1. a. 4 km horizontal distance and 3 km vertical distance b. 3 km horizontal distance and 2 km vertical distance c. 1 km horizontal distance and 5 km vertical distance 2. a. 1 : 5 b. 1 : 6 c. 3 : 7 d. 6 : 1 e. 8 : 9 3. a. 15 b. i. 7 cm ii. 35 cm 4. a. 5 km horizontal distance and 2 km vertical distance b. 5 : 3 c. RM36 d .40 UNIT 8: DATA HANDLING AND LIKELIHOOD .................................................................... THINK SMART (pg. 210) THINK SMART (pg. 218) 88 pupils equally likely LET’S PRACTISE (pg. 223) 1. October has 31 days is likely to occur as there are 31 days in October. Malayan tiger extinct is likely to occur because their number is decreasing in the habitat. Sun rises in the south is unlikely to occur as the sun rises in the east. A rooster lays egg is unlikely to occur as hen lays egg. A road has pothole is likely to occur as the result of the weather and traffic passing over every day. A sapling growth is likely to occur as the sapling can survive and grow with sufficient amount of light, water, and air. *accept any other reasonable answers and reasons from the above. 2. a. Certain because whale is a mammal and it feeds milk to the calf. b. Impossible because heptagon consists of 7 sides. c. More likely because cloudy weather is a sign that it will rain. d. Equally likely because only one out of two pupils will be chosen as the class monitor. e. Less likely because the number of red pens is less than pencils. 3. a. i. 40 persons ii. 20 persons iii. 60 persons b. i. less likely ii. more likely iii. Take out 6 black buttons from the box. Put more 6 blue buttons into the box. SELF-TEST (pg. 225 – 230) A. Choose the correct answer. 1. C 2. A 3. C 4. D 5. D 6. C 7. A 8. B 9. D 10. C 11. D 12. B 13. D 14. C 15. C 16. C 17. C 18. D 19. A 20. C 21. B B. Solve the following questions. 1. a. 6 hours b. 1415 hours 2. a. 0735 hours b. 3:45 in the morning, Saturday, 13 August 2022 3. a. 1:10 p.m. b. 3:10 p.m. c. 2 hours 4. Yes. 40 60 × 1.5 kg = 6 kg 6 = 1 kg = 1 000 g 5. a. 1 : 2 b. 20 c. 50% 6. a. 500 m b. 2 057.5 g 7. 120° 8. a. acute angle. b. obtuse angle. c. right angle 20° 145° 9. a. 4 cm O b. O 5.5 cm 10. circle C 11. a. 3 km b. 3 km c. 3 km horizontal distance and 3 km vertical distance d. shopping mall e. theme park and stalls 12. a. 9 books b. 12 books 13. a. 2 : 3 b. 3 : 2 c. 2 : 5 d. 3 : 5 14. a. Langkawi Island 180°, Tioman Island 90° b. 15 pupils c. 15 pupils 15. a. Gardening = 8 b. 90° c. 24 residents Reading = 8 Sports = 16 16. a. Less likely because there is less number of butter cookies. b. More likely because there is more number of chocolate cookies. c. Impossible because there are no peanut cookies in the container. 90° 28 cm 28 cm Accept any other reasonable answers.
Skim Pinjaman Buku Teks Sekolah Tahun Tingkatan Nama Penerima Tarikh Terima Nombor Perolehan: Tarikh Penerimaan: BUKU INI TIDAK BOLEH DIJUAL Dengan ini, SAYA BERJANJI akan menjaga buku ini dengan baiknya dan bertanggungjawab atas kehilangannya, serta mengembalikannya kepada pihak sekolah pada tarikh yang ditetapkan.