YC] Marshall Cavendish Education Workbook Name: es Class: Dr Fong Ho Kheong * Gan Kee Soon * Chelvi RamakrishnanMY. Workbook .PALSY SARE HERE!| by Maths 5B i 1 ose: ) ce 4 a oJ)! = ale sth o>Preface ‘My Pals Are Here! Maths (3rd Edition) is a comprehensive, task-based and learner-centred programme designed to provide pupils with a solid foundation in mathematics and opportunities to become efficient problem solvers. In this edition of the Workbook, pupils are given opportunities to master concepts learnt. Questions marked with an asterisk (*) are higher-order thinking questions meant to stimulate pupils’ thinking A calculator may be used when a ‘appears. te. Practice provides a quick reinforcement through questions that require pupils to recall facts and concepts. L Chapter Review reinforces \ 7 learning through questions that | facilitate mastery of concepts. [- Maths Journal allows pupils to share their thoughts with their teachers, create their own, mathematics questions and become aware of their own mathematical thinking. Put On Your Thinking Cap! develops pupils’ creative and critical thinking skills | with higher-order and ! non-routine questions. Review after every few chapters provides a comprehensive consolidation of concepts. Revision provides a summative assessment of pupils’ understanding. Questions are | purposefully crafted to determine ~ pupils’ learning progress. Enjoy learning mathematics with My Pals Are Here! Maths (3rd Edition)!CONTENTS © Decimals Practice 1 Multiplying by 10, 100, 1000 and Their Multiples Practice 2 Dividing by 10, 100, 1000 and Their Multiples Practice 3 Converting Measurements Practice 4A Solving Word Problems Practice 4B Solving Word Problems Chapter 9 Review Maths Journal Put On Your Thinking Cap! © Percentage Practice 1 Percent Practice 2 Percentages as Fractions and Decimals Practice 3. Decimals and Fractions as Percentages Practice 4 Percentage of a Quantity Practice 5 Solving Word Problems Chapter 10 Review Maths Journal Put On Your Thinking Cap! @ Average Practice 1 Understanding Average Chapter 11 Review Maths Journal Put On Your Thinking Cap! Review 4 ® Rate Practice 1 Rate Practice 2 Solving Word Problems Chapter 12 Review Maths Journal Put On Your Thinking Cap! nN 15 19 24 25 27 29 31 33 37 39 43 44 45 ss 60 61 63 69 81 88 89© Angles Practice 1 Practice 2 Practice 3 Practice 4 Angles on a Straight Line Angles at a Point Vertically Opposite Angles Finding Unknown Angles Chapter 13 Review Maths Journal Put On Your Thinking Cap! Review 5 © Triangles Practice 1 Classifying Triangles Sum of Angles in a Triangle Right-angled, Isosceles and Equilateral Triangles Finding Unknown Angles. Drawing Triangles Chapter 14 Review Maths Journal Put On Your Thinking Cap! © Quadrilaterals Practice 1A Practice 1B Practice 1C Practice 1D Practice 2 Practice 3 Classifying Quadrilateral Parallelograms Rhombuses Trapeziums Finding Unknown Angles Drawing Four-sided Figures Chapter 15 Review Maths Journal Put On Your Thinking Cap! Review 6 Revision 2 1 93 95 7 102 103 105 m 113 5 ng 121 125 130 131 133 135 137 139 141 145 153 158 159 161 167Name: Class: ' Decimals Date: Practice 1 Multiplying by 10, 100, 1000 and Their Multiples () Multiply. (a) 0.6 x 10=__ (b) () 815x10= (d) le) 10 x 0.264 = ___ (f) (2) Fill in the blanks. (a) 1.907 x _______=19.07 (b) {) —_____ x 10 =88 (d) (3) Multiply. (a) 0.3 x 70=____ (b) (c) 9.04 x 60 =__ (d) le) 90x 0128= (f) 0.37 x 10 = 10x 17.52 = 10 x 3.028 = 274x = 274 * 10 = 534.2 0.25 x 30= 50 x 13.24 = 80 x 5.179 = Lesson 1 Multiplying by 10, 100, 1000 and Their Multiples >(4) (5) (6) Multiply. (a) 0.04 x 100=__ (c) 4.9 x 1000 = (e) 100 x 0.134=___ Fill in the blanks. (a) 108.1 x = 10810 (c). —______ x 100 = 909.7 Multiply. (a) 0.7 x 400 = (c} 6.09 x 8000 = (e) 300 x 0.105 = A v0 9 ves! (b) (d) (b) (d) (b) (d) 0.18 x 100 = 100 x 16.47 = 1000 x 63.425 = 50.95 x = 50950 x 1000 = 2350 0.36 x 200 = 900 x 10.23 = 5000 x 3.003 =‘Name: Date: Practice 2 Dividing by 10, 100, 1000 and (1) (2) (3) Their Multiples Divide, (a) 0.2+10= (b) () 3.19+10= (d) {e) 102.8+10= tU} Fill in the blanks. (a) 184+ = 0.184 {) ——___ + 10= 2.705 Divide. (a) 4+20= (c) 27+ 60= (e) 102+ 30= (b) (d) (b) (a) (f) 0.84+10= 34.95 +10 = 713.02 + 10 = 0.93 + = 0.093 —____ + 10 = 62.09 36+40= 67.2 +70= 10.35 + 50 = Lesson 2 Dividing by 10,100, 1000 and Their Multiples >(4) Divide. (a) 5.7+100= (b) 94.3 +100 = (c) 4008 +100 = (d) 70 + 1000 = fe) 9090 + 1000 =__ (f} 30400 + 1000 = (5) Fill in the blanks. (a) 90+ _____=09 (b) _______ + 100 = 0.62 () 13870 +________= 13.87 [d) —_______ + 1000 = 2.053 (6) Divide. (a) 180 + 200 = (b) 201+ 300 = (c) 56640 +8000 =___ (d) 15 600 + 5000 = (e) 249000 + 6000 = 596 400 + 7000 = ey Chapter 9 DecimalsName: Class: Date: Practice 3 Converting Measurements () Fill in the blanks. (a) 1.53 m = —______cm (b) 2.07km =______m () 19.875kg=_____g (d) 34¢=__ ml (2) Fillin the blanks. (a) 12.03 m = _______m_______cm (b) 217.9km = km ___m Id 364g = ekg _ er" (d) 4.007¢=__ ml Lesen 8 convring Meosrerents WOE(3) Fillin the blanks. (a) 450 cm = ______m (bo) 6.28km =____m () 7950g=___kg (d) 59ml=____¢ (4) Fillin the blanks. (a) 21m7cm=_______m (b) 42 km 6m = ___km () 9kg55g=—___kg (d) 100€850ml=____¢ i i : i ey Chapter 9 DecimalsName: Class: Date: Practice 4A Solving Word Problems a) A kilogram of rice costs $2.05. What is the cost of 30 kg of the rice? Ans: (2) Amotorist drove from his home to his office. The distance between his home and his office was 32.27 km. After driving 15.65 km, he stopped at a petrol kiosk. How much further did he have to drive before he arrived at his office? Ans: Lesson 4 Solving Word Problems ‘a>(3) There were 100 workers in a factory. Each worker worked 40 h a week and was paid $6.50 an hour. How much did the company have to pay the 100 workers altogether each week? Ans: ey Chapter 9 Decimals62017 Nac eri von Path (4) A shop owner bought 30 files and some dictionaries. He paid $82.50 for the files. Each dictionary cost 10 times as much as a file. What was the cost of each dictionary? Ans: Lesson 4 Solving Word Problems ‘=.go One lap of a racing track measured 5.04 km. During a race of 61 laps, a driver stopped to refuel after completing 29 laps. How far was he from the finish line? Give your answer in kilometres. I) rt019 ciesName: Class: Date: Practice 4B Solving Word Problems a) Madam Hasnah bought 300 m of ribbon to make some decorative flowers. She used 1.22 m to make one large flower. She made 200 such large flowers and 100 smaller flowers with the remaining ribbon. What was the length of ribbon used to make one small flower? Ans: ge kilogram of tomatoes cost $0.90. Jenna bought 2.5 kg of tomatoes. She also bought a bag of detergent for $8.95. How much change did Jenna receive if she gave the cashier $20? Ans: Lesson 4 Solving Word Problems AsBo Pauline mixed 0.32 € of syrup with 12 times as much water to make orange squash. She spilt 1.28 £ of orange squash. Then, she poured the remaining orange squash equally into 4 bottles. How much orange squash was there in each bottle? Give your answer in litres. Ans: <9 Chapter 9 Decimals(4) Container X contained 1200 g of sand. Container Y contained 7.2 kg of sand. After an equal amount of sand was removed from each container, Container Y now has 7 times as much sand as Container X. How much sand was removed from each container? Give your answer in kilograms. Ans: Lesson 4 Solving Word Problems =>(5) Mrs Rohit gave a total of $64.90 to her three sons. The eldest son received $4.30 more than the youngest son. The second son received $7.80 less than the youngest son. How much did the eldest son receive? Ans: Chapter 9. DecimalsName: Class: Date: Chapter 9 Review a) Multiply. (a) 20.15 x 10 = _____ {b) 1.08 x 30= () 56.09x100=_________ {d)_ 10.7 x 500= (e) 3.002x1000=____—ff})««6.29 x 7000 = (2) Divide. (a) 4.87 +10 =____ (b) 92.7+90= {c) 62.1+ 100 = ______ (d) 781.2 + 300= fe) 57 +1000 =________ (f} 32800 + 4000 = Chapter 9 Decimals =>(3) Fill in the blanks. (a) 24km = km. (b) 18.45€= t () 30087g= kg (d) 106 cm = m (4) Fill in the blanks. (a) 3.005 x = 30.05 {c]) —_____ x 10 = 824 (e) 0.419 x =419 ED) crope9-oocict ml cm (b) (d) 235.1 + +10 = 7.904 = 23.51 +10 =0.314(5) (6) Fill in the blanks. fa) 6.046x ss = 604.6. (b) _______ + 100 = 6.08 () _______ x 100 = 9320 (d) 3165+ Ss = 3,165 {e) 5.013 x __ = 5013 () ______ + 1000 = 9.886 When a box contains 50 identical balls, it has a mass of 13.9 kg. The empty box has a mass of 400 g. Find the mass of each ball in kilograms. Ans: Chapter 9 Decimals ‘>(7) Aplumber had two pipes. The ratio of the length of the longer pipe to the shorter pipe was 9 : 2. When he cut 1.65 m from the longer pipe, the remaining length was 3 times that of the shorter pipe. Find the length of the shorter pipe in metres. C22 Chapter 9 Decimals& (8) A bag contained some 20-cent and 50-cent coins. There were 14 fewer 50-cent coins than 20-cent coins. The total arnount of money in the bag was $27.30. How many 50-cent coins were there? Chapter 9 Decimals ww? yName: Class: Date: aaa @ Ce ar) In this chapter, you have learnt about decimals and conversion. What is the most difficult part in learning decimals and conversion? Why? ED cropee9 vs:Ethan sold some watches at $14 each and 20 bookmarks at $1.50 each. Roy sold the same number of watches at $13.50 each and 20 bookmarks at $1.80 each. They collected the same amount of money. How many watches did Ethan sell? Chapter 9 Decimals, we y.(2) The total mass of 6 bottles of milk and 9 bottles of apple juice was 3.3 kg. The total mass of 3 bottles of milk and 4 bottles of apple juice was 1.56 kg. Find the mass of a bottle of apple juice in kilograms. I ev00:09. vainName: Class: Date: ' Percentage Practice 1 Percent Each figure is divided into 100 equal parts. Fill in the blanks. a) (a) % of the whole figure is shaded. ‘% of the whole figure is (b) not shaded. % of the whole figure is {c) shaded. —___% of the whole figure is not shaded. % of the whole figure is shaded. —___% of the whole figure is not shaded. Lesson Percent >(2) Each figure is divided into 100 equal parts. (a) Shade 17% of the whole figure. (b)_ Shade 50% of the whole figure. (3) Fillin the blanks. A U 43 out of 100 = _% —_____ out of 100 = 1% e 5 out of 100 = ___% % —__ out of 100 = 87% lw a 8 l 21 out of 100 = _% out of 100 = 2% Where can the world’s largest bat be found? Match the letters to the answers to find out. out of 100 = 10% 90 out of 100 = 90 1 2 43, 1 1 2 5 87 &y Chapter 10 Percentage 2207 Me anh ten osName: Class: Date: Practice 2 Percentages as Fractions and a Decimals Express each percentage as a fraction in its simplest form. (a) 23% (b) 90% {c]_ 48% (d) 60% le) 50% () 82% {g) 25% (h) 65% Lesson 2 Percentages as Fractions and Decimals. >(2) Express each percentage as a decimal (a) 45% (b) 89% (10% (d) 3% A le] 60% (f) 55% a (g) 1% th) 31% 3 : i 3 3 ‘ § & Chapter 10. PercentageName: Class: Date: Practice 3 Decimals and Fractions as a) (2) Percentages Express each decimal as a percentage. (a) 0.28 (b) () 03 (d) Express each fraction as a percentage. a) 3 (b) 63 i) > (d) 0.64 0.07 19 25 8 200 tesson 3 Deena ond actonscs Pecntages ED(3) Fill in the blanks. (a) Fraction | Decimal |Percentage Shaded Unshaded b) Fraction | Decimal |Percentage Shaded Unshaded i Fraction | Decimal |Percentage Shaded Unshaded | chapter 10 PercentageName: Class: Date: Practice 4 Percentage of a Quantity go Find the value of each of the following. (a) 32% of 50 kg (b) 35% of 80 € (c) 75% of 16 cm (d) 40% of 24 kmge Find the amount of discount for each of the following items. (a) $29 Discount = 15% Discount = 30% & Chapter 10 Percentage 0207 Ma cand ton Ped0200 Hara candi eden Reid (3) Find the amount of GST for each of the following items. The prices shown do not include 7% GST. (a) (c) $1395 teson 4 Percentage ofa cuoiy EER(4) Carol had $5000 in her bank account. The bank paid 3% interest at the end of each year. She did not withdraw any of her savings. How much interest did she earn at the end of 1 year? Ans: (5) Mr Patel invested $12 000 in an investment fund. The bank paid 4% interest at the end of each year. How much interest did he earn at the end of lyear? <9 cragr to. pacennigeName: Class: Date: Practice 5 Solving Word Problems a) There were 1200 books in a library. 35% of the books were fiction books. The rest of the books were non-fiction books. How many non-fiction books were there? Ans: (2) A sofa costs $600. What is the price of the sofa after a 15% discount? Ans: Lesson § Solving Word Problems >(3) Mrs Lee had $7500 in her bank account. The bank paid 4% interest at the end of each year. How much did she have in the bank at the end of 1 year? Ans: Ba Jason bought a pair of headphones which included a GST of 7%. The price of the pair of headphones before GST was $85. How much did Jason pay for the pair of headphones? Ans: EI) cre::010 rercerageName: Class: Date: Chapter 10 Review a Darren scored 87 out of 100 marks in an English test. What percentage did he score for the test? (2) Express 13% as a fraction. (3) Express % as a percentage. (4) Express 0.54 as a percentage.(5) There were 50 stamps in an album. 30% of the stamps were local stamps. How many local stamps were there in the album? Ans: (6) | Awashing machine cost $720. Mr Png bought it at a 25% discount. How much was the discount? Ans: SI creprerr0. rerciogsa”) go Florence bought a refrigerator which included a GST of 7%. The cost of the refrigerator before GST was $899. How much did Florence pay for the refrigerator? Ans: Mrs Tan had $25 000 in her bank account. The bank paid 5% interest at the end of each year. How much did Mrs Tan have in her bank account at the end of 1 year? Chapter 10 Percentage =>(9) Zack had $120. He spent 25% of his money on a pair of shoes and 10% of his money on a book. How much money did Zack spend on the two items altogether? Ans: g (10) There are 1500 stamps in a collection. 60% of the stamps are local stamps and the rest are foreign stamps. How many foreign stamps are there in the collection? Ans: ee chapter Pevesitige‘Name: Class: Date: @ eet Alif and Sarah were asked to solve the following word problem. ( The cost of a laptop before 7% GST was $850. How much did the laptop cost? | Alif worked out the answer like this: 93% x $850 = $790.50 Sarah worked out the answer like this: 7% x $850 = $59.50 $850 + $59.50 = $909.50 Whose answer is correct? Explain. 3 a i g Chopter 10 Percentage wwName: Class: Date: a) The following figure is made up of squares, small triangles and large triangles. What percentage of the whole figure is shaded? (2) Shirley bought a refrigerator for $3450. She paid 3 of the amount and took a loan for the rest. She paid the loan at the end of 1 year. The bank charged 3.5% interest for the loan. How much interest did Shirley pay? I creeer0. recsiogswy Average Class: Date: Practice 1 Understanding Average a) The table shows the number of pupils in three classes. Find the average number of pupils in each class. (Class 5A 5B 5c [Number of Pupils 38 34 39 J Ans: (2) The table shows the amounts six shoppers spent at a department store. How much did each shopper spend on average? | Shopper A B G Dd [amount $100 $155 $178 $299 $210 $99] Ans: tesco Undestondng Average NE(3) The table shows the water consumption for six households in a particular month. What was the average water consumption for the households in the month? [Household A B c D E Fy Pad % 16.9 m?| 10.6 m*| 17.2 m*| 24 m* [22.8 m?} 13.5 m> a Ans: (4) The table shows the masses of five newborns. Find their average mass. {Name Ahmad Bala Mingwei | _Dawn Siti "| (mass 3.88kg | 4kg 3.9kg | 276kg | 285kg | . 3 a 5 i i 3 : 5 : Ans: a <9 chapter Tl Average(5) (6) The average number of goals scored by a football team in a match was 4. The team played a total of 22 matches. What was the total number of goals scored by the team? Ans: The average length of the sides of a triangular plot of land is 8.5 m. What is its perimeter? Ans: There were 48 peaches in a carton. The average mass of all the peaches was 0.17 kg. What was their total mass? Ans: Lesson] Understanding Average ey{2(6) _Rehna sat for several tests and scored a total of 360 marks. Her average = score was 72 marks. How many tests did Rehna sit for? Ans: ao A group of children had a total mass of 132 kg. The average mass of a child was 33 kg. How many children were there in the group? Ans: E (10) An average of 205 people visited an exhibition in one day. A total of 1230 people visited the exhibition. How many days did the exhibition last? Ans: R434 Chapter 11 Averagege The bar graph shows the number of e-books downloaded from a public library over the last four years. E-Books Downloaded from a Public Library 500 000 400 000 300 000 Number of E-Books 200 000 100 000, 2013 2014 2015 2016 Year What was the average number of e-books downloaded over the last four years? Ans: Lesson 1 Understanding Average wD(12) The bar graph shows the number of durians sold by a stall over five days. Number of Durians Sold Over Five Days Friday Thursday & Wednesday Thursday ‘Monday 9 yo 20 30 40 50 60 70 80 90 100 Number of Durians What was the average number of durians sold by the stall over the five days? & Chapter 11 Averagego) The line graph shows the sales of a 24-hour convenience store over four weeks. ‘Sales Over Four Weeks 70 0004 — - T 60 000 + 50 000+ 40 000 Sales ($) 30 000-4 20 000-4 10 000 + oF f Ist 2nd 3rd 4th Week What was the weekly average sales over the four weeks? Ans: \ Lesson 1 Understanding Average ‘=>(14) The line graph shows the haze index recorded over five days in a particular country. 160-7 140+ - 1204 i 1004 § 80 = 60+ Haze Index Recorded Over Five Days 404 20-4 0 What was the average haze index over the five days? R52 ' Chapter Average (0 aH7 Mosbot Cvesh ton Me2207 Masha Comndsh taxon ed gos) Three teams of athletes took part in a charity run. For every kilometre each team completed, a sum of $25 was donated to the charity. The table below shows the number of kilometres completed by the athletes in each team. ‘Tecra Number of | Total Number of Kilometres Athletes Completed by Each Team A 7 42 B 6 42 c 3 30 Total ? 2 (a) How much money was collected for the charity? Ans: (b) What was the average distance completed by each athlete? Ans: Lesson Understanding Average Sg (16) The table below shows the standing broad jump results of 20 pupils. Girls Boys Name Distance (cm) Name Distance (cm) Geraldine 159 Alvin 76 Huiting 135 Benedict 174 Kavitha 160 Calvin 164 Louisa 155 Dan 168 Meili 165 Ethan 162 Maziyah 150 Guoming 190 Ruzita 148 Rohit 180 Vivian 138 Kieran 200 Stephanie 156 Leon 178 Valerie 44 Muhafiz 192 (a) What was the average distance all the girls jumped? Ans: (b) The average distance the boys jumped was 178.4 cm. Find the total distance all the boys jumped. (d) Find the average distance all the pupils jumped. EI crexs0e 1090 Ans: Ans:Name: Class: Date: Chapter 11 Review ) The table below shows the number of stamps Ben and Joseph collected. What was the average number of stamps each boy collected? { Name Ben Joseph | Number | of stamps 200 120 Ans: (2) The table shows the distances Wayne jogged over five days. Monday | Tuesday | Wednesday | Thursday | Friday Day re: 2 4 5 6 (a) How many kilometres did Wayne jog over the five days? Ans: (b) On average, how many kilometres did he jog each day? Ans: Lesson 1 Understanding Average(3) The table shows the number of tuna sandwiches sold by a cafe from Monday to Friday. Find the average number of tuna sandwiches sold on each day. {Day Mon Tue Wed Thu Fri] cia 42 | 36 | 39 | 41 52 J Ans: (4) The table shows the highest temperature of a city over four months. Find the average highest monthly temperature over the four months. (Month Apr May Jun Jul | | Temperature 26.5°C 25.8°C 32°C 31.3°C_| g (7) The bar graph shows the number of people who visited a theme park over six months. Number of People Who Visited a Theme Park Over Six Months 3000 8 g Number of People 500 Jul Aug Sep Oct Nov Dec Month How many people on average visited the theme park each month? Ans: EI cre: s090(8) The line graph shows the amount of rainfall in a town over five days. Amount of Rainfall Recorded Over Five Days Amount of Rainfall (cm) (a) What was the average amount of rainfall over the five days? Ans: (b) If the amount of rainfall on Saturday, the 6th day, was 16 cm, what was the average amount of rainfall over the six days? Ans: Chapter 11! Average wwName: Class: Date: ———! @ ese eae Write down the steps to solve the given problem. Azean bought five books from a shop. The average price of two of the books is $5.20. The average price of the rest of the books is $4.80. Find the total amount of money Azean paid for the five books. Then, following your steps above, work out the answer to the problem in the space below. LD) crepe se1098Name: a Class: Date: —I¢ (tite aah) The average height of Andy, Basri and Chelsea is 145 cm. Andy and Basri are of the same height and Chelsea is 15 cm taller than Andy. Find (a) Andy’s height (b) Chelsea's height. Ti Average \\ Chapter 11 Average >(2) Prema and her friends calculated the average number of books they had. If Prema had 10 more books than what she had, the average number of books they had would be 75. If she had 6 fewer books, the average number of books they had would be 73. How many friends did Prema have? LD vep1200 2092Name: Class: Date: Section A Each question has four options. Choose the correct option (@), @. @ or Q). Write in the brackets provided. (1) What is 6.058 kg in kilograms and grams? @ 6kg58g © 6kg 580g a © 60kg 58g © 60kg 580g () (2) What is 2037 cm in metres? @ 2.037m @ 2037m 203.7 m 8 6 237m () (3) Find the value of 35% x 600. @ 210 ~ @ 390 © 600 @ 21000 () (4) The average of seven numbers is 38. The sum of the first six numbers is 156. What is the seventh number? @ % @ 10 © 118 ° 266 () Review 4 ‘2 ySection B Solve the problems. Show your working clearly and write your answers in the spaces provided. (5) Damian measured the heights of four of his friends. Find the average height of his four friends. {Name Hafizah Leonard Sally James __| (Height im) 1.44 149 1.39 1.48 Ans: (6) There are 500 people in the park. 150 of them are women. What percentage of the people in the park are men? Ans: (7) 645.8 € of water is poured into 8 empty tanks. What is the average amount of water in each tank? Give your answer in litres and millilitres. LI vwiens m % 3 z | ‘ i ; i ml E2 ato Cth tan Pt (8) (9) The bar graph shows the number of people who watched a play over five days. Number of People Who Watched a Play Over Five Days 0 700 200 300 400 500 600 700 800 900 1000 Number of People What was the average number of people who watched the play over the five days? Ans: Fill in the blanks. (a) —______ x 1000 = 21450 {b) 25.35+___ = 2.535 Ans: (a) (b) ovis NDSection C gov: the problems. Show your working clearly and write your answers in the ' spaces provided. The use of an approved calculator is expected where appropriate. (10) A bank offers 2.5% interest at the end of each year. Bobby deposited $4200 in the bank. How much money did he have in the bank at the end of the year? Bhs, — (Il) The usual price of an LED television set was $4000. During a sale, Julian bought the LED television set at a discount of 20%. How much did Julian have to pay for the LED television set after the discount? Ans:(12) The mass of Parcel A was 0.7 kg. Parcel B was heavier than Parcel A. Parcel C had the same mass as Parcel B. The total mass of the three parcels was 2.5 kg. What was the mass of Parcel C? Ans:(13) Roslan had a total of $50 in 10-cent coins, 20-cent coins and 50-cent coins. The value of his 10-cent coins was 30% of the total value of all his coins. The value of his 20-cent coins was 28% of the total value of all his coins. What was the value of his 50-cent coins?(9207 Mert Coan oan Pet Practice 1 Rate a Acar can travel 72 km on 6 € of petrol. At this rate, how many kilometres can the car travel on 1 € of petrol? Ans: (2) Susan paid $14 for renting a bicycle for 2 hours. At this rate, how much did ‘Susan pay per hour?(3) MrWee sells mussels at $8 per kilogram. At this rate, how much money will Mr Wee make from selling 30 kg of mussels? a (4) Peter wants to post 40 invitation cards to his friends. The postage cost per card is 25¢. At this rate, how much will it cost Peter to send out all the invitation cards? Ans: GD crees2 (© 207 malcontent(5) A phone company charges 35¢ per minute for an overseas call. At this rate, how much does a 5-minute call cost? Ans: (6) Madam Munah takes 1 day to sew 2 dresses. At this rate, how many days does Madam Munah take to sew 16 dresses? texont sic WEA() go s Amachine prints 9 stamps per minute. At this rate, how long will it take to print 180 stamps? Ans: A money changer offers an exchange rate of 0.65 Euros for 1 Singapore dollar. At this rate, how many Singapore dollars will Cathy get if she gives the money changer 975 Euros? Ans: Chapter 12 RateName: Class: Date: Practice 2 Solving Word Problems a A wheel made 96 revolutions in 12 seconds. At this rate, how many revolutions would the wheel make in 1 minute? Ans: (2) Ravi saved $19 in 2 days. He saved an equal amount every day. How much would Ravi save in 14 days? Ans: Lesson 2 Sohing Word Problems 734go Acar used 4 € of petrol after it travelled 56 km. (a) How many kilometres can the car travel on 1 £ of petrol? (b) How much petrol is needed for the car to travel 322 km? Ans: (a) (b) a4 The cost of carpeting an area of 30 m? is $1500. (a) Whatis the cost of carpeting a square metre? (b) MrTan pays $2250 to carpet his office. What is the area of Mr Tan's office? Ans: (a) (b) ey Chapter 12 Rote(5) (6) The table shows the bulk post charges between two countries. What is the bulk post charge for sending a package that weighs 6.7 kg? ‘Mass Step Not Over Bulk Post Charge 2kg $20 5kg $55 Per additional step of 1 kg or part thereof $10 re The table shows the amounts a company charges for delivering items within a zone. What is the delivery charge for an item that weighs 21.6 kg? Mass Step Not Over Delivery Charge 2kg $13 3kg $19 10 kg $28 20 kg $35 Per additional step of 1 kg or part thereof $7 Ans: lesen 2. Sobing Word Peters WEED(7) The table shows the rates for renting a bicycle from a shop. First 2 hours After the second hour | $4 per} hour or part thereof Miss Lorenz rented a bicycle from 09 30 to 13 15. How much did Miss Lorenz have to pay? Ans: (8) A telecommunications company charges the following rates for talk time. The first minute 20¢ For every additional 20 s or part thereof up to 5 min ot For every additional 15 s or part thereof after 5 min 5¢ What will the charge in dollars for a 5-minute call be? Chapter 12 Rate(227 al Cen cen Pt go The line graph shows the number of cans of baked beans a machine sealed over five minutes. Number of Cans a Machine Seals 180 = Time (min) (a) How many cans did the machine seal in four minutes? {b) How many cans does the machine seal per minute? {c]_ At this rate, how much time would the machine take to seal 480 cans? Ans: (a) (b) {c) Lesson 2. Solving Word Problems ED(10) At first, a tank was completely filled with water. A pump was turned on for some time to drain water from the tank. The line graph shows the volume of water in the tank over 40 minutes. Volume of Water in a Tank Over 40 Minutes 800 700~ 600 400 Volume of Water (¢) 8 | 200 100 0 ——— 5 10 5 20 2 30 35 40 Time (min) (a) How much water was drained out of the tank in one minute? (b) How long will it take for the water to be drained out of the tank completely? Express your answer in hours and minutes. Ans: (a) (b) y Chapter 12 Rotemm) A rectangular tank measures 60 cm by 50 cm by 40 cm. Water flows into the tank at a rate of 8 litres per minute. At this rate, how long will it take to fill the tank? 40cm 50cm. 60cm Ans: Lesson 2 Solving Word Problems 799gee) A rectangular tank 40 cm wide by 50 cm long by 30 cm high is filled up with water up to 3 of its height. Water flows from a tap into the tank at a rate of 0.5 litre per minute. Find the amount of water in the tank after 30 minutes. Give your answer in litres. Ans: ______ ign 2 ag ’ chapter 13 Angles