Singapore Word Problems

Transcription

1 Singapore Word Problems Process 1. Read and copy the entire problem. 2. Divide the problem into separate ideas with slash marks. 3. Determine who is involved in the problem. 4. Determine what is involved with the problem. 5. Draw two unit bars of equal length. 6. Label what you know. 7. Put a question mark in for what you need to find out. 8. Work the problem underneath the bars and label all remaining parts of the bars. 9. Answer the question in a complete sentence. 10. Calculate a second piece of information and write it in a complete sentence. Example Bob had 3/5 as much money as Joe./ Joe had $25./ How much money did Bob have? Who: Bob, Joe What: money Joe s money $25 Bob s money 5 5 5? X Bob had $15. Altogether Bob and Joe had $40.

2 1. Susie made 300 cookies. She sold 3/4 of them and then gave 1/3 of the remainder to a neighbor. How many does she have left? 2. The ratio of Mike s books to Sam s books is 2:3. Mike has 40 books. If Mike buys 8 more books what will the new ratio be? 3. There are two numbers. The first number, 19, is 1/3 the size of the second number. What is the second number? 4. Tammy has 57 marbles and Robin has 14 fewer marbles than Tammy. How many marbles does Robin have? 5. One tray holds 10 eggs. How many eggs will 5 trays hold? 6. Frannie started with as many coins as Mason, who had 30. Frannie lost 10 coins. Mason collected another 25 coins. How many more coins did Mason have than Frannie, at the end. 7. Tommy had 52 baseball cards. He bought 3 packages of 10 cards each. How many baseball cards does he have altogether? 8. Tony made 325 cakes in a year at his bakery. He sold 85 more chocolate cakes than vanilla cakes. If all the cakes were sold how many chocolate cakes were there? 9. A typist can type 85 words in a minute. At this rate, how many words can she type in 5 minutes? 10. A car can go 96 km. on 8 liters of gas. How far can the car travel on 15 liters of gas? 11. A father is four times as old as his son now. If the father was 46 years old two years ago, how old is the son now? 12. There are three times as many cats as rabbits in a pet store. If there are 24 more cats than rabbits, how many cats are there in all? 13. 3/5 of a group of children are boys. If there are 20 more boys than girls, how many girls are there? 14. 2/5 of a number is 12. What is 7/10 of that number?

3 15. Anna s allowance is 3/4 of Barbara s. Candy s allowance is 2/3 of Anna s. If Barbara s allowance is $48, what is Candy s allowance? 16. When Jane received her salary she gave 1/2 to her mother. After spending 2/5 of the remainder on a pair of shoes she had $480 left. What was her salary? 17. There are 50 oranges in a box. 3/10 of them are rotten. How many of the oranges are not rotten? 18. After spending $40 on a dress, Mary had 3/8 of her money left. How much money did she have at first? 19. 4/7 of a group of children are boys. If there are 18 more boys than girls, how many children are there altogether? 20. Tory bought 120 eggs. She used 2/3 for baking cakes and 1/4 of the remainder for baking cookies. How many eggs did she have left? 21. Andrew spent 1/3 of his money on a toy airplane and 2/3 of the remainder on a toy robot. He had $20 left. How much did he spend altogether? 22. Mr. Tan spent 1/3 of his salary on food and 2/5 of the remainder on his truck. What fraction of his salary did he have left? 23. There are some pegs in a basket. 1/6 of them are red. 1/4 of them are yellow and the rest are green. If there are 63 green pegs, how many pegs are there altogether? 24. After spending 7/10 of his lottery winnings, Tom had $99,000 left. How much money did he win? 25. Penelope bought a bottle of vitamins. By the end of four weeks, she took 5/7 of them. If she took 30 of them, how many vitamins came in the bottle? 26. The ratio of the number of green marbles to purple marbles is 5:7. There are 12 more purple marbles than green marbles. How many marbles are there altogether? 27. There are 1600 students in a school. 60% of them are girls. How many more girls are there than boys?

4 28. Brandy made 250 doughnuts. She sold 80% of them in the morning and 10% of the remainder in the afternoon. How many doughnuts did she sell? 29. The average weight of three packages is 2.4kg. The average weight of two of them is 1.9kg. Find the weight of the third package. 30. Kate bought 8 spoons and 5 plates for $ Each plate costs $1.20 more than each spoon. How much does each spoon cost? 31. A mattress costs $80 at a sale. This price was 2/3 of the usual price. What was the usual price of the mattress? 32. Mrs. Ying weighs 53.7 kg. She is three times as heavy as her son. If her husband is four times as heavy as her son, find Mr. Ying s weight. 33. The ratio of the number of male teachers to female teachers is 1:3. If there are 225 female teachers, how many teachers are there in all? 34. String A is 30 cm. longer than string B. String B is 60 cm. longer than string C. The total length of the three strings is 300 cm. Find the length of string B. 35. A right angle triangle has a perimeter of 90 cm. The lengths of side 1, side 2, and side 3 are in a ratio of 5:12:13. What is the length of side 3? 36. There were 385 people that took Joe s taxi in New York today. 60% were men. How many men took the taxi? 37. The difference between two numbers is 16. If the smaller number is 145, what is the bigger number? 38. Timmy bought seven shirts that cost the same price. If six shirts cost $156, how much did Timmy pay for seven shirts? 39. Joan had $300. She spent 4/5 of the money and saved the rest. How much money did she save? 40. Carol had 540 pennies. She gave 1/6 of the pennies to her sister and 4/9 of the remainder to her brother. How many pennies did she have left? 41. Book B has ten times as many pages as Book A. If Book B has 500 pages, how many pages do Book A and Book B have together?

5 42. The number of boys is 3/5 of the number of girls. If there are 120 children altogether, how many boys are there? 43. John, Tom, and David share a sum of money in a ratio of 4:5:6. If David receives $60 more than John, find the sum of money shard by the three boys. 44. Manny writes 30 words in five minutes. If he continues writing at the same rate, How words can Manny write in eight minutes? 45. A bottle contains 420mL. of water when it is 3/5 full. What is the capacity of the bottle? 46. Peter and Mary each had the same amount of money. After Peter spent $50 the ratio of Mary s money to Peter s money was 5:4. How much money did Mary start with? 47. In a class of 45 there are four times as many boys as girls. When some girls left for a meeting, there were then six times as many boys as girls. How many girls went to the meeting? 48. A vendor sold 2/3 of his pretzels in the afternoon and 1/6 in the evening at a carnival. He sold 150 pretzels. How many pretzels did he have left? 49. From a fire Mr. Pratt saved 7/20 of his goods. What percentage of his goods were saved? 50. The sum of four numbers is The average of three of them is 293. What is the fourth number? 51. The total weight of four men and two women is 384kg. What is their average weight? 52. The number of men is 5/8 of the number of women working at a factory. If there are 24 more women than men, how many workers are there altogether? 53. The ratio of men to women on a bus is 3:1. The rate of women to children is 3:5. There are 20 children. What is the total of men and women? 54. A shopkeeper had 150 pounds of rice. He sold 2/5 of it and packed the remainder equally into five bags. What is the weight of the rice in each bag? 55. Peter had 400 stamps. 5/8 of them are U.S. stamps and the rest are Canadian stamps. He gave 1/5 of the U.S. stamps to his friend. How many stamps did he have left? 56. Kyle gave 2/7 of his money to his wife and spent 3/5 of the remainder. If he had $300 left, how much money did he have at first? 57. 2/3 of the beads in a box are red, ¼ are yellow and the rest are blue. There are 42 more red beads than blue beads. How many beads are there altogether?

6 58. There are as many girls as boys in a class. If 2/5 of the boys and 1/2 of the girls go to school by bus, what fraction of students in the class go to school by bus? 59. Three boys, Ali, Ben, and Rajah share a sum of money. Ali s share is $60. The ratio of Ben s share to Rajah s share is 1:3. If Ali s share is $15 more than Ben s share, how much money is Rajah s share? 60. There were as many boys as girls in a computer club last year. This year, 11 boys joined the club and the membership increased by 10%. How many boys were in the club last year? 61. The total cost of three T-shirts and a pair of shorts is $54. Each T-shirt costs $5 more than the pair of shorts. Find the cost of the pair of shorts. 62. Brian bought 54 mangoes. He gave 2/3 of the mangoes away and ate 1/6 of the remainder. How many mangoes did he have left? 63. A container was 1/2 filled with water. When 200 ml. was poured out, it was 1/3 full. What is the capacity of the container? 64. The ratio of the number of Austin s stamps to the number of Henry s stamps is 5:3. They have 1000 stamps altogether. How many stamps must Austin give to Henry so that they will each have an equal number of stamps? 65. The price of a computer was increased by 10% to $2420. What was the price before the increase? 66. Mary s savings is 25% more than Susan s savings. If Mary has $200 more in savings than Susan, what is their total savings? 67. The total length of three ribbons, A, B, and C is 260 cm. Ribbon A is 60 cm. longer than Ribbon B. Ribbon C is 50 cm. longer than Ribbon B. What is the length of Ribbon A? 68. Gopal had some post cards for sale. He sold 3/5 of them on Monday and the rest on Tuesday. If he sold 25 fewer post cards on Tuesday than on Monday, how many post cards did he have at first? 69. 1/4 of the beads in a box are red. 60% 0f the remainder are yellow and the rest are blue. If there are 48 blue beads, how many beads are there altogether? 70. Kevin spent 5/8 of his money on a pair of shoes. He spent 1/6 of the remaining money on a T- shirt. What fraction of the money did he have left? 71. 1/3 of John s money is twice as much as Henry s money. If their total sum of money is $42, how much money does John have? 72. The ratio of the number of red beads to black bead in a bag is 3:4. There are 39 red beads. How many more black beads than red beads are there? 73. The ratio of Dan s money to Tommy s money is 3:8. If Dan gives 1/2 of his money to Tommy, what will be the new ratio of Dan s money to Tommy s money? 74. Colin s salary is increased by 10% to $1650. How much is the increase? 75. A machine caps 160 bottles every two minutes. At this rate, how long does it take to cap 400 bottles? 76. Jeff had five watches which were of the same cost price. He sold three of them for $110 each. He sold the rest at cost price. He received $490 altogether. How much profit did he make? 77. Kelly spent 2/5 of her money on a doll and ½ of the remainder on a musical box. She spent $8 more on the doll than on the musical box. How much money did she have left?

7 78. The average weight of three boys is 41.5 kg. The average weight of two of the boys is 73.7 kg. What is the weight of the third boy? 79. Raju, Sita, and Gopal shared a sum of money. Raju received 5/8 of the money. Sita received 1/3 of the remainder. Gopal received $40. How much was the sum of money shared by the three boys? 80. John s weight is 2/3 of Peter s weight. Peter s weight is 6/7 of Mary s weight. Find the ratio of Mary s weight to Peter s weight to John s weight. 81. Ahmad spent 40% of his money on a watch and 10% of the remainder on a radio. He spent $92 altogether. How much money did he have left? 82. Andrew used a $50 bill to pay for three shirts. He received $18.50 in change. What was the average cost of the three shirts? 83. Dorothy bought 168 oranges. She threw away 1/8 of them which were rotten. Then she gave 1/3 of the remainder to her friends. How many oranges did she have left? 84. Nancy had $400. She spent ¼ of the money on a camera. She spent another $160 on a watch and saved the rest. What percentage of the money did she save? 85. The ratio of David s money to John s money is 5:3. They have $800 altogether. If David gives John $50, what will be the new ratio of David s money to John s money? 86. Jerome, Joe, and Peter shared some stamps in the ratio 2:3:5. Peter received 50 more stamps than Jerome. Find the total number of stamps shared by the three boys. 87. A goldfish costs three times as much as a guppy. Gary spent 3/5 of his money on 3 goldfish and 6 guppies and had $8 left. Find the cost of a goldfish. 88. The ratio of Samad s money to Hashim s money is 2:3. The ratio of Hashim s money to Rama s money is also 2:3. After Samad gives Hashim ¼ of his money, Rama has $30 more than Hashim. How much money did Samad have at first? % of a number is 13. What is 3/4 of the number? 90. Martin spent 2/3 of his money and gave ¾ of the remainder to his mother. He had $50 left. How much money did he have at first? 91. There are 20% more men than women at a concert. If there are 420 men, how many more men than women are there? 92. The ratio of Jake s money to Joe s money is 3:5. If Joe gives Jake $25, they will each have the same amount of money. How much money do they have altogether? 93. Ali had $120. He had $45 more than his brother. After his brother spent some money on a toy, Ali had twice as much money as his brother. What is the cost of the toy? 94. There were 20% more boys than girls in a swim club. After 50 girls left, there were twice as many boys as girls in the club. How many boys were there in the club? 95. Three girls and two boys shared $140. Each boy received twice as much money as each girl. How much money did each boy receive? 96. Peter had three times as much money as Larry. After Peter spent 1/3 of his money, he still had $50 more than Larry. How much money did Peter have at first? 97. The ratio of the number of red beads to blue beads is 2:3. The ratio of the number of red beads to yellow beads is 4:3. What is the ratio of the number of red beads to blue beads to yellow beads?

8 98. There are 300 passengers on board an airplane. 2/3 of them are men, 1/4 are women, and the rest are children. How many children are there? 99. There are 350 members in a swimming club. 2/7 of them are new members. 3/10 of the new members are female. How many new female members are there? 100. Sally made 500 cookies. She sold 3/4 of them and gave away 2/5 of the remainder. How many cookies did she give away? 101. Dani made some sticks of satay for a party. 3/5 of them were chicken satay and the rest were beef satay. There were 240 sticks ofbeef satay. How many sticks of chicken satay were there? 102. After paying $30 for a shirt, David had 3/5 of his money left. How much money did he have at first? 103. After spending 2/5 of his money on a storybook, Mathew had $12 left. How much money did he spend on the storybook? 104. Cameron has 480 stamps. 5/8 of them are U.S. stamps and the rest are foreign stamps. How many more U.S. stamps than foreign stamps does he have? 105. Taylor bought 24 pounds of flour. She used 1/3 of it to bake cookies and 1/4 of the remainder to bake a cake. How many pounds of flour were left? 106. Ryan withdrew 1/4 of his savings from a bank. He spent $450 of it and had $150 left. How much was his total savings in the bank at first? 107. After giving 1/3 of his money to his wife and 1/4 to his mother, Jake still had $600 left. How much money did he give to his mother? 108. Lucy spent 3/5 of her money on a handbag. She spent the remainder on 3 T-shirts which cost $4 each. How much money did the handbag cost? 109. Merisa spent 3/4 of her money on a dictionary. She spent 1/2 of the remainder on a calculator. The dictionary cost $30 more than the calculator. How much did the dictionary cost? 110. Jake made some tarts. He sold 3/5 of them and gave 1/4 of the remainder to friends. If he had 150 tarts left, how many tarts did he sell? 111. Susan spent 1/4 of her money on a storybook and 1/2 of the remainder on a box of crayons. She spent $10 altogether. How much money did she have left? 112. Michael bought a shirt with 2/5 of his money. Then he bought a jacket which cost $5 more than the shirt. He spent $105 altogether. How much money did he have left? 113. Wendy spent 3/5 of her money on 3 bowls and 8 plates. With the rest of her money, she can buy another 6 bowls. If she spends all her money on plates only, how manyplates can she buy?