Everyone Makes Mistakes, But YOU must admit the mistake, learn from it and, don t repeat it. - Year Name : School : Class :

Transcription

1 Everyone Makes Mistakes, But YOU must admit the mistake, learn from it and, don t repeat it. Name : School : Class : D 2 r - Year 2015

2 Best wishes to all PSLE students: This booklet has been successfully used over the years to help many students like yourself to prepare for your PSLE. I m sure you too will find it useful. Many students have contributed to the improvement of this material in front of you, in particular, Yip Lim Bing of Pathlight school(2015) deserves special mention. Your feedback will be most welcome. Do send it to : korlinang@hotmail.com 2015 June

3 1. Mr Boon, a network engineer, needs 900 metres of network cable at $4.50 per metre. If each metre cost $0.50 less, how much more network cable can he buy with the same amount of money? 2. A table tennis bat and 4 ping-pong balls cost $17. The bat costs $14.50 more than a pingpong ball. Find the cost of a ping-pong ball. 3. Mr Right bought three bottles of coke and four packets of biscuit for $2.80. A packet of biscuit cost half as much as a bottle of coke. Find the cost of a bottle of coke. Copyright KL Ang 2015/6 1

4 4. Mrs Huang bought some of these three types of books A, B and C for her daughter. Book A cost 60 more than Book B. Book B cost $1.20 more than Book C. If she bought 4 books of each type and paid $60 in all, how much did a Book A cost? 5. Rosemary spent $376 for a hand-phone, a Ipad and two storybooks. The hand-phone cost $36 more than the Ipad and the Ipad cost $48 more than a storybook. What were the cost of a hand-phone and also the cost of a storybook? 6. One kilogram of red bean and one kilogram of curry powder cost $1.60 altogether. Mrs Ong bought two kilograms of red bean and four kilograms of curry powder for $4.80. How much did two kilograms of curry powder cost? Copyright KL Ang 2015/6 2

5 7. Mary bought 6 erasers and 2 pens. Dion bought 2 erasers and 6 pens. Dion paid $0.80 more than Mary. If an eraser cost 35, what was the cost of a pen? 8. Josephine had $62. This amount of money was just enough to buy seven cans of soft drink and four kilograms of rice. If she bought four cans of soft drink and seven kilograms of rice, and had $3 left, how much did it cost for one kilogram of rice? 9. A marker pen cost 7 times more than a note pad. Alan spent two-fifth of his money on note pads and one-third of the rest on 3 marker pens. How many note pads did he buy? Copyright KL Ang 2015/6 3

6 10. Miss Gong paid $445 for some backpacks and carry bags. A backpack cost $22 and a carry bag was $7 cheaper than a backpack. If she bought 5 more carry bags than backpacks, how many backpacks did she buy? 11. Janet bought some pens and pencils for $7. There were 9 more pencils than pens. A pen cost 75 and a pencil cost 25 less than a pen. How many pens and how many pencils did she buy? 12. A local parcel delivery company delivered 800 glassware sets for Mr Ng. It charged $0.20 for every set safely delivered. But it had to pay Mr Ng for $6.80 for each broken set. If Mr Ng paid a total of $90 for the delivery, how many sets were safely delivered? Copyright KL Ang 2015/6 4

7 13. Marcus bought 2 of the 6 items and Michael bought 3 of the remaining items. Marcus spent one third as much as Michael. Which items did each of them buy? G2 pen $4.40 Diary $3.30 Pencil case $3.60 Storybook $5.20 Ballpoint pen $1.10 Colour pencil set $ Steven spent three-seventh of his money on 6 packets of drink and 1 cup of instant noodle. If one cup of instant noodle cost thrice as much as one packet of drink, how many cups of instant noodle could he buy with the rest of his money? 15. On a school fund raising day, 1000 pupils sold some tickets. On average, each boy sold three tickets and each girl sold four tickets. The boys sold 1368 less tickets than the girls. How many boys were there? How many tickets were sold? Copyright KL Ang 2015/6 5

8 16. Mr and Mrs Forrest attended a party. A card game was played as such that each person had to play one game with everyone once. Mr Forrest played 4 times with as many men as women (include Mrs Forrest). Mrs Forrest played 5 times with as many men (include Mr Forrest) as women. How many men and how many women were there at the party? 17. A bank teller has a 50 -coins box and a 10 -coins box. There are 23 more coins in the 10 coins box than in the 50 -coins box. But the amount of money in the 50 -coins box is $2.10 more than the amount of money in the 10 -coins box. How many coins are there in each of the coin boxes? 18. A large drum had 660 l of honey. A small drum had 130 l of honey. If a same amount of honey was needed to fill each drum to the fullest, the honey in the large drum would have three and one-half times as much as the honey in the small drum. What was the capacity of the small drum? Copyright KL Ang 2015/6 6

9 19. David spent two-seventh of his money on a TV set, one quarter of it on a remote controlled car and $375 on food. After spending these amounts of money, he still had $15 left. How much money did he have in the beginning? 20. In a ball pool contained some 4 type of coloured balls. One-fifth of them were green, onesixth of them were yellow, three-eighth of them were blue, and the rest were orange. There were 70 more blue balls than orange balls. How many more green balls were there than the yellow ones? 21. Mom made some cup cakes. She sold three-fifth of them in the morning and one quarter of the rest in the afternoon. She sold 120 more cup cakes in the morning than in the afternoon. How many cakes did she sell? Copyright KL Ang 2015/6 7

10 22. Three-eleventh of the flowers in a garden are purple. There are 11 more white flowers than purple flowers. The rest of the 19 flowers are pink. How many more flowers are pink than purple in the garden? 23. Sam Seng, a member of a bookworm club, took 9 days to read two-fifth of a Harry Porter book. He took another 3 days to read another one-ninth of the book. Then, he took another 8 days to read the remaining 88 pages. On the average, how many pages did he read in one day? 24. Richard took 2 hours to drink three-thirteenth of his cans of Coke. He took another 4 hours to drink the remaining cans of drink at the rate of 30 cans per hour. On the average, how many cans did he drink in one hour? Copyright KL Ang 2015/6 8

11 25. Karen had a few big bottles of coke. She drank a cup of coke each day. After 4 day, she had seven-ninth of the drink left. After another 5 days, she had 2160 ml of coke left. How much coke was in these bottles at first? 26. A NO JAM A4-size paper box was one-sixth full. When another 520 sheets of paper were added into the box, it became three-fifth full. How many sheets of paper could this box hold? 27. Mr Wood is a furniture shop owner who bought some chairs. One-fifth of them were foldable type and the rest were fixed type. He sold one third of the foldable chairs and onefourth of the fixed chairs. There were 55 chairs left. How many chairs did Mr Wood buy? Copyright KL Ang 2015/6 9

12 28. Alan withdrew one quarter of his savings from the bank. He spent $320 of it on a TV set and had $80 left. On the following month, he deposited two-fifth of his monthly income in the bank and his savings in the bank became $3750. How much was his monthly income? 29. A farmer had three sons. He gave away all his cows to share among the sons before he died. The first son received three quarters of the cows and a quarter of a cow. The second son received three quarters of the remaining cows and a quarter of a cow. The third son received three quarters of what was left of the cows and one quarter of a cow. No cow was left after this. How many cows were there in all? 30. Mrs Nice made some cakes. She gave Agnes one cake more than half of the cakes. She gave Brenda two cakes more than half of the remaining cakes. If she had 5 cakes left after this, how many cakes had Mrs Nice made at first? Copyright KL Ang 2015/6 10

13 31. Roy gets $0.50 more pocket money than his sister, Roslyn every day. Each of them spends $1.20 a day and saves the rest. If Roslyn saves $32 and Roy saves $16 more than her after some days, how much pocket money does Roslyn get in a day? 32. A glass jug weighs 13 kg when it is filled with honey. The same jug weighs 7 kg when it is filled with water. If honey weighs 4 times as much as water, what is the weight of the jug? 33. A fish is cut into 3 parts : its head, its body and its tail. It has a tail as long as its head and one-half the length of its body. The body is as long as the head and tail together. If the head of a fish is 15 cm long, what is the length of the fish? Copyright KL Ang 2015/6 11

14 34. Steven s money was three times more than Zoe. If Steven gave Zoe $450, Zoe would have four times as much as Steven. How much money did they have altogether? 35. Lewis and Leslie had the same number of pokémon cards. After Lewis sold 17 cards and Leslie sold 23 cards, Lewis had twice as many left as Leslie. How many cards did each boy have at first? 36. Tom had collected 50 more stamps than Joe. If Joe gave Tom 20 stamps, Tom would have triple the number of stamp as Joe. How many stamps did Tom have? Copyright KL Ang 2015/6 12

15 37. Colin and Alfred had $150 altogether. After Colin gave Alfred $26, Colin had half as much money as Alfred. How much money did each boy have at first? 38. Tina and Julie had $20000 altogether. After Tina spent five-seventh of her money and Julie spent $2000, they each had the same amount of money left. How much money did Tina have more than Julie at first? 39. There are 351 Lego blocks of black, gray and yellow in a Robotics Invention box. There are seven more yellow blocks than black blocks. There are twice as many gray blocks as black blocks. How many black blocks are there? Copyright KL Ang 2015/6 13

16 40. Jerry had a collection of 456 red marbles and green marbles. After losing half of his red marbles in a marbles game, Jerry decided to buy another 45 green marbles. He then had as many red ones as green. How many marbles of each type did he have in the beginning? 41. Albert, Bernard, Charlie and Donald had a common hobby of collecting Pokémon cards. They had a total of 230 cards. Albert then bought 25 newly released cards; Bernard sold 15 cards for some extra pocket money; Charlie received some cards as his birthday present that tripled the number of his cards; and Donald sold two-fifth of his cards to buy a gameboy. As a result, each of them had the same number of cards. Find the number of cards that each boy had at first. 42. Three girls, Annabel, Brenda and Cindy had a total of 144 friendship bands. If Annabel gave Brenda as many bands as Brenda had; then Brenda gave Cindy as many bands as Cindy had; and then Cindy gave Annabel as many bands as Annabel had left, they each had the same number of bands. How many bands did each girl have? Copyright KL Ang 2015/6 14

17 43. There are 1000 students in a school. 70% of them can speak English at home. Eight-tenth of them can speak Mandarin at home. 100 of them can speak neither English nor Mandarin at home. How many students can speak both English and Mandarin at home? 44. A fish tank filled with water weighed 20 kg when it was three-quarter full, and weighed 18 kg when it was two-third full. What was the weight of the fish tank when it was nine-tenth full? tins of large-size paint can paint four-ninth of a house. Another 2 tins of large-size paint and 9 tins of medium-size paint are needed to complete the job. If using the medium-size paint only, how many tins of paint will be needed to completely paint the house? Copyright KL Ang 2015/6 15

18 46. Sandy is two-fifth as old as Michelle. In 8 years time, Michelle will be twice as old as Sandy. How old is Sandy now? 47. Two sisters, Florence and Linda had saving accounts, totaling $574 in a bank. After Florence spent two-fifth of her money and Linda spent three-seventh of her money, they each had the same amount of money left. How much money did Florence have less than Linda at first? 48. Melvin and Lily were playing a card game. In the first round, Melvin lost a third of his money to Lily. In the second round, Lily lost half of her money she had then to Melvin. In the final round, Melvin lost one-sixth of his money he had then to Lily. In the end, Melvin had $165 and Lily had $135. How much money did Melvin have at first? Copyright KL Ang 2015/6 16

19 49. Tony has a hobby of collecting stamps. He has 195 Singapore and Australia stamps. He also has 235 Australia and Malaysia stamps. His Singapore stamps are four-ninth of his Australia ones. How many Malaysia stamps does Tony have? 50. There were 810 visitors to a musical concert hall. Five-ninth of them were women. At halftime, some of the women left the hall, the number of women who stayed behind made up two-seventh of the total number of visitors who remained in the hall. How many women left the hall? 51. In a toys shop, there were two types of Tamiya 4WD toy cars on display, 242 cars in total. When 50 of the type 1 cars and two-ninth of the type 2 cars were sold, the number of type 1 cars left was the same as the number of type 2 cars left. How many of the type 1 cars were there in the beginning? Copyright KL Ang 2015/6 17

20 pupils took part in a Math test. Four-ninth of the boys and three quarters of the girls passed the test. The number of pupils who passed the test was 238. How many boys and how many girls passed the test? 53. Isabel, June and Kate are members of a phone-card collectors club. Isabel has 3 times as many cards as Kate. June has 36 more than Isabel. Kate has one-fifth of June. Find the number of cards they have altogether. 54. For the school building fund, Primary 1 and 2 students raised one and one-third the amount of Primary 3 and 4 students combined. Primary 5 and 6 students raised half the amount of Primary 1 and 2 combined. Primary 3 and 4 students raised $ How much did these students raise altogether? Copyright KL Ang 2015/6 18

21 55. In a meet-the-parent session, each student brought either 1 or both parents to meet the teachers. If the ratio of the number of students to the number of parents is 5 : 7, what fraction of the students brought 2 parents? 56. As a community service, Lisa, Melvin and Norman were asked to sell charity tickets. Each ticket was $10. Lisa managed to sell three-fifth of the tickets. Melvin and Norman could only sell the remaining tickets in the ratio 8 : 7. If Lisa sold 29 tickets more than Melvin, how much money did they collect altogether? 57. Mr Tan, Mr Lee and Mr Toh bought TOTO tickets and won. They decided to split the winning prize money according to their share of the cost of these TOTO tickets. If Mr Tan were to give two-fifth of his share to Mr Lee, Mr Lee would have as much money as Mr Tan. If Mr Tan gave half of this share to Mr Toh, then Mr Toh would have 3 times as much money as Mr Tan. Find the ratio of Mr Tan s share to Mr Lee s share to Mr Toh s share. Copyright KL Ang 2015/6 19

22 58. In the Bishan Community Library, there are two bookshelves, fiction and non-fiction. If two-fifteenth of the number of books on the fiction shelve were moved to the non-fiction shelve, the ratio of the number of books on the fiction shelve to the number of books on the non-fiction shelve would be 9 : 4. What is the ratio of the number of books on the non-fiction shelve to the number of books on the fiction shelve? 59. Two friends, Smart-Alex and Blur-King were playing a game with their Coke. The ratio of the amount of Coke in Smart-Alex s bottle to the amount of Coke in Blur-King s bottle was 3 : 5. One-third of Smart-Alex s Coke was poured into Blur-King s bottle and then one-third of Blur-King s Coke was poured into Smart-Alex s bottle, what will the new ratio be? Smart-Alex told Blur-King that the fractions were the same so each would have the same amount, do you agree? 60. Oscar and Peter shared some sweets in the ratio 71 : 83. After Oscar received 144 sweets more from Peter, they each had the same number of sweets. How many sweets did they have? Copyright KL Ang 2015/6 20

23 61. In a recent Chinese examination, the ratio of Roger s score to Sara s score is 3 : 7. If Roger s score is increased by 15 and Sara s score is decreased by 5, they will have the same score. What is Roger s score? 62. Tina and Uno shared a box of rubber bands in the ratio 4 : 3. After Tina gave half of her share to Uno, Uno had 30 more bands than Tina. How many rubber bands did Tina give to Uno? 63. In a school assembly, the principal requested for volunteers to help out in a community service project. After two-third of the boys and three quarters of the girls left the assembly area, the teacher found out that there were only 117 volunteers. The ratio of the number of boys to the number of girls was 51 : 49 in this school. How many students were in the assembly at first? Copyright KL Ang 2015/6 21

24 64. At the launch of a new fitness club in Bishan RC, the ratio of the number of men to the number of women was 5 : 7. One month later, 34 new members joined the club and there were 2 times as many women and 3 times as many men as the previous month. How many members were there in the club at the launch? 65. In a fish tank, two-seventh of number of guppy is equal to five-seventh of number of goldfish. Find the ratio of the number of gold-fish to the number of guppy. 66. There are the same number of Primary 5 prefects and Primary 6 prefects. The ratio of the number of boys in the Primary 5 prefect to the number of boys in the Primary 6 prefect is 7 : 5. The ratio of the number of girls in Primary 5 prefect to the number of girls in Primary 6 prefect is 11 : 14. Find the ratio of the number of boy prefects to the number of girl prefects in Primary 6. Copyright KL Ang 2015/6 22

25 67. There are only 20 and 50 coins in Victor s piggy bank. The number of 20 coins to the number of 50 coins is in the ratio 6 : 5. After he took out ten 20 coins, exchanged them for 50 coins, and then put the money back into his piggy bank, the ratio became 1 : 7. Find the sum of money in Victor s piggy bank. 68. In a school choir, there are 22 more boys than girls. The number of boys is 55.5% of the total number of pupils in the choir. How many pupils are there in the school choir? 69. A fast food restaurant offers a snack pack where you can choose one item each from three groups of items. There are 3 items to choose from in each group. How many different ways can you order your snack pack? Copyright KL Ang 2015/6 23

26 70. In a school fund raising day, Jolene s mother was selling chicken rice in packets. She sold 33⅓% of her chicken rice in the morning. She sold another 25% of the rest in the afternoon. Then she had 60 packets left at the end of the day. How many packets did her mother prepare for the day? 71. Mrs Ong worked for Get-Rich-Fast Company for $50 per hour. She also worked for Not-So- Rich Company for $30 per hour. She earned as much from Get-Rich-Fast Company as Not- So-Rich Company. Was her average hourly rate for those two jobs less than $40 per hour, exactly $40 per hour or more than $40 per hour? 72. My friend and I played a card game before the math class. The stakes were $1 per game (If I win, I get $1 from my friend. If I loose, you loose a dollar. No draw allowed.) When I finished the game, I won 3 games but your friend profited $7. How many games did we play? Copyright KL Ang 2015/6 24

27 73. Ah Kong, Ah Mah, and Ah Soh shared the prize money of their 4D bet. If Ah Kong gave $150 to Ah Mah, both would have the same amount of money. Ah Soh received 28% of the money. But, Ah Mah s share was only 75% of Ah Soh share. How much was the prize money? 74. There are 32 pupils in a class. If 25% of the girls left the class, the percentage of girls left in the class dropped to 20%. How many girls are there in the class? 75. Ah Seng worked as a Web designer, had an annual salary of $ in the year He saved two-fifth of the salary. In year 2014, his salary was decreased by 20%, but his expenditure went up by %. How much less did he manage to save in 2014? Copyright KL Ang 2015/6 25

28 76. In the National Library, 70% of the books were in English, 30% of the rest of books were in Chinese and the remaining books were in other languages. When 616 new Chinese and English books were added to their collection, the number of English books was doubled and the number of Chinese books was increased by 200%. How many books were there in the library at first? 77. In a school examination, there were 1600 answer scripts on the first day. The ratio of the number of Chinese, Malay and English scripts is 3 : 2 : 5. On the second day, another 388 answer scripts were added. The number of Chinese scripts was increased by 12.5% and the number of Malay scripts was increased by 40%. By what percentage was the number of the English scripts increased? 78. Joe, Lionel, and Catherine put together a sum of money for their business. Joe s money was 40% less than Lionel. Lionel s money was 50% more than Catherine. If Catherine were to give $50 to Joe, both of them would have put in the same amount of money. How much money did they put into their business? Copyright KL Ang 2015/6 26

29 79. Susan had 25% more stickers than Rose. After Susan gave 45 stickers to Rose, Rose had 25% more stickers than Susan. Find the number of stickers they have altogether. 80. Janelle spent $40 of her pocket money monthly and saved the rest in her little piggy bank. After she cut down on her monthly expenses by $2, her monthly savings had increased by 40%. How much is Janelle s monthly pocket money? 81. Uncle Sam decides to save some money for a long trip to Australia. He makes a plan to save 15% of his income each month. If his monthly income is increased by 10%, his savings will be increased by $15. How much is his monthly income? Copyright KL Ang 2015/6 27

30 82. In the Xiao Computer store, a computer set was advertised at a discount of 5% of the usual price. The store manager calculated that he would earn $250. However, the set had no taker. So he decided to sell it at a discount of 15% of the usual price, he ended up losing $100. Find the cost price of the computer set. 83. To prevent the spread of SARS, the KiaSu Clinic bought 1000 face masks. It sold 35% of them at 90 each, sold 25% of them at a discount of 10%, and sold the rest at cost. The clinic profited $ Find the cost price of a face mask. 84. Dave bought two volumes of Harry Potter storybooks. 15% of the number of pages on the first book was the same as 20% of the number of pages on the second storybook. There were 525 pages for the two storybooks. How many pages were there in the first storybook? Copyright KL Ang 2015/6 28

31 85. The ratio of the number of hours worked by Datou and Xiaotou is in the ratio 6 : 5. If Datou s number of hours is increased by 20%, by what percentage must Xiaotou s work hours be increased or decreased so that their salaries will be the same? (Assuming each earns the same amount of money per hour) 86. It took NoMind 2½ hours to walk from Toa Payoh to Changi Airport. His average speed for the whole journey was 4 km/h. For the first quarter of the journey, he traveled at an average speed of 5 km/h. What was his average speed for the rest of the journey? 87. The shop owner got 20% profit after selling a computer with a 20% discount. What was his original profit percentage before the discount? Copyright KL Ang 2015/6 29

32 88. LoBang King bought 20 baskets of oranges for sale in a market. Each basket contained 50 oranges. He paid a total of $24 for each basket of oranges. To his horror, 10% of oranges in each basket were bad and had to be thrown away. If he wanted to make a profit of 20%, how much should he sell for each orange? 89. In a round the island race, Ah Beng drove two-fifths of the distance in the 1 st hour, one quarter of the distance in the 2 nd hour and the remaining distance in the 3 rd hour. His average speed for the first two hours was 13 km/h. Find his average speed for the whole journey. 90. For every 1 motorcycle in a car park, there were 3 buses. For every 4 cars in the car park, there were 5 buses. (a) Find the ratio of buses to motorcycles to cars in the car park. (b) After 24 buses left the car park, 15% of the remaining vehicles in the car park were buses. How many more cars than buses were there in the car park? Copyright KL Ang 2015/6 30

33 91. A bus started from Jurong Bird Park and travelled towards Changi Airport at 50 km/h. A quarter of an hour later, a motorcycle started from Changi Aiport and travelled towards Jurong Bird Park on the same route at 75 km/h. After another half an hour, the two vehicles were still 5 km apart. Find the distance between Jurong Bird Park and Changi. 92. The distance between Singapore and Penang is 1350 km. The express train travels from Singapore to Penang at an average speed of 70 km/h. At the same time, a cargo train travels from Penang to Singapore at an average speed of 65 km/h. How long would it take for the two trains to meet on the way? How far would the express train have travelled from Singapore? 93. To get to school from home, I have to cycle one km up a hill and one km down the other side. If I average 10 km/h on the way up, what speed must I go down the other side if I am to average 20 km/h for the whole journey? Copyright KL Ang 2015/6 31

34 94. What is the size of the angle X in the diagram on the right? 95. The Lions XII football team won 24 of its first 40 games. How many of its next 25 games must the team win in order to maintain the ratio of wins to losses? 96. A MRT train, moving at a constant speed of 45 km/h, takes 7.2 seconds to pass a man standing at the entrance of a bridge. It takes the train 40 seconds to pass through the bridge. Find the length of the bridge, in metres. Copyright KL Ang 2015/6 32

35 97. A circle of radius 1 unit length is cut into four equal arcs, which are then arranged to make the shape shown here. What is its area? 98. A rectangular container of the size 40 cm by 60 cm by 25 cm is filled ⅔ full with Ceylon tea. (a) How many litres of Ceylon tea is in the container? Then some more hot water is added, the container is ¾ full. (b) How many litres of water is added to the container? Finally, when 5 metal balls are added, the container is full. (c) What is the volume of each ball? 99. An empty rectangular tank, of 0.5 m by 0.6 m by 0.4 m, was filled by a hose that supplied water at a rate of 4 litres per minute. It is filled to four-fifth of the tank. (a) How long does it take to fill four-fifth of the tank, in minutes? Next, one 30-cm metal cube is placed at the bottom of the tank, and the filling at the same rate continued. By the time that the hose was stopped, 4 litres of water had overflowed. (b) How long did the hose continue to fill the tank after the four-fifth mark before it is stopped? Copyright KL Ang 2015/6 33

36 100. A cuboid has a length of 10 cm with two square faces. The ratio of the measure of its breadth(edge of square face) to the measure of its length is 4 : 5. When the cuboid is placed into the tank as shown below, the water level reaches the 24-cm mark. Calculate, in litres, the capacity of water in the tank The object shown in the diagram is make by gluing together six wooden cubes, each having edges of length 1 cm. What is the total surface area of the object? 102. A class of 20 students achieves an average of 66% on an exam. A second class of 30 students achieves an average grade of 56% on the same exam. What is the average for the combined class? Copyright KL Ang 2015/6 34

37 103. Box A contains fifty-cent coins only, and Box B contains twenty-cent coins only. If there are 9 more coins in Box B than in Box A and there is $3.30 more in Box A than in Box B, how many twenty-cent coins are there in Box B? 104. Dionis is giving away some of her stamps. If she is to give 8 stamps to each of her friends, she will have 5 stamps left over. If she is to give each of her friends 5 stamps, she will have 38 stamps left over. How many friends does she have? 105. A drink-stall sells a cup of drink for 70 or 90. In one afternoon, a total of 24 cups has been sold for $19. How many 90-cent cups have been sold in this afternoon? Copyright KL Ang 2015/6 35

38 106. There are 15 erasers and pencils in a bag. If all the erasers are exchanged for pencils, with 2 erasers for every 3 pencils, there will be 19 pencils, in total. How many erasers are there in his bag? 107. Mr Ang is giving away some sweets to his students in NJC. After giving 4 sweets to each student, he is left with 18 sweets. If each student gets 6 sweets, he will need another 12 sweets. How many sweets are there with Mr Ang? 108. There are litre and 3-litre pails that can hold 342 litres of water. How many of these pails are 5-litre pails? Copyright KL Ang 2015/6 36

39 109. Study the pattern carefully. Pattern 1 Pattern 2 Pattern 3 a) How many shaded squares will there be in Pattern 5? b) How many shaded and unshaded squares will there be in Pattern 10? c) How many unshaded squares will there be in Pattern 50? 110. In the figure below, not drawn to scale, ABC is a straight line. Find a) FAB, D E b) AFB, c) BCE F 21 A B C Copyright KL Ang 2015/6 37

40 111. In the figure below, not drawn to scale, RUVX is a parallelogram and RST is an isosceles triangle. R a) Find a. b 22 b) Find b. U T 68 Y a S X 100 V 112. In the diagram below, not drawn to scale, STUV and SUXY are rectangles and TSR is a straight line. Find: R a) a. b) b. S b V 53 T a 26 U Copyright KL Ang 2015/6 38

41 113. In the diagram, AB is parallel to ED and CD is parallel to EF. If ABC 75, DCG 85 and DEF 45, find (a) obtuse BCD, (b) reflex HGC. B 75 C 85 D 45 F A G E H Copyright KL Ang 2015/6 39

42 Answer sheet: m cents cents 4. $ $145, $61 6. $ cents 8. $ , (Ball & Diary), (G2, pencil, SB) , , , L 19. $ /day / hr ml $ $ kg cm 34. $ $76, $ $ , , 75, 20, , 42, kg $ $ , $ /5 56. $ : 1 : : : 1, No : : 28 I

43 Answer sheet: Cont 67. $ $37.5/hr, less $ $ % 78. $ $ $ $ cents pages 85. increase, 44% km/h % cents /3 km/h : 15 : 12, km km 93. impossible degree m square units cubic cm mins, 15 secs L square cm , 144, , 79, , , 63 II