TEST NAME: 3.OA.8 2 Step Word Problems TEST ID: GRADE:03 SUBJECT:Mathematics TEST CATEGORY: My Classroom

Transcription

1 TEST NAME: 3.OA.8 2 Step Word Problems TEST ID: GRADE:03 SUBJECT:Mathematics TEST CATEGORY: My Classroom 3.OA.8 2 Step Word Problems Page 1 of 27

2 Student: Class: Date: 1. Marty has $5, John has $7, and Isaac has twice as much as John. Which expression will show how much money they have altogether? A. $5 + $7 2 B. $7 3 $5 C. $7 + $5 2 + $7 D. $5 + $7 + $ Christine has 15 cookies. She bakes 21 more cookies. If she divides all of the cookies evenly among 3 friends, how many cookies will each friend get? A. 5 B. 7 C. 12 D Tim wants to buy a bike that costs $64. He earns $8 for each lawn he mows. Tim has already mowed 3 lawns. How many more lawns does Tim need to mow to have enough money to buy the bike? A. 5 B. 6 C. 24 D OA.8 2 Step Word Problems Page 2 of 27

3 4. The length of a rectangle is 15 inches. The perimeter of the rectangle is 42 inches. Part A Write an equation to find the width of the rectangle. Use W for the missing width. Part B Find the width W, in inches. 5. Dan got $10, $20, $15, and $5 as graduation gifts. He wants to buy a textbook that costs $55. Does he have enough money to buy the textbook? A. No, he needs $5 more. B. No, he needs $10 more. C. Yes, and he will have $5 left over. 6. Lisa played 5 math games. She scored 8 points in the first game. For each game after that her score doubled. How many points did Lisa earn in Game 5? A. 16 B. 32 C. 64 D OA.8 2 Step Word Problems Page 3 of 27

4 7. A boy has 3 piles of rocks. Each pile has 7 rocks. A friend brings more rocks. Now there are 32 rocks total. Which equation shows how to find the number of rocks, r that the friend brings? A. B. C. D. 8. Jack has 4 bags of model cars with 7 cars in each bag. Rob has 6 bags of model cars with 8 cars in each bag. Which statement is true? A. Jack has 20 more cars than Rob. B. Jack has 76 more cars than Rob. C. Rob has 20 more cars than Jack. D. Rob has 76 more cars than Jack. 9. Wanda is selling chocolate bars for a school fund raiser. She has 3 boxes containing 100 bars each. She sold 142 bars. How many bars does Wanda have left to sell? A. 42 B. 145 C. 158 D Bryson walked 3 miles on the first day, 6 miles on the second day, and 8 miles on the third day. How many total miles did he walk? A. 9 miles B. 17 miles C. 20 miles 3.OA.8 2 Step Word Problems Page 4 of 27

5 11. Mr. Anders plans to give 4 pencils to each of the 60 students in his classes. Mr. Anders has 37 pencils. Part A Write an equation to show how many more pencils Mr. Anders needs. Use P for the number of pencils Mr. Anders needs. Part B How many more pencils does Mr. Anders need? 12. Lory has 56 marbles. She gets 15 marbles for her birthday. Lory then gives 22 marbles away. How many marbles does Lory have left? A. 34 B. 49 C. 63 D There are 21 books on each of the 4 library tables. The librarian puts half of the books on shelves. How many books are left on the tables? A. 84 B. 44 C. 42 D Danielle sorted her marbles into 8 groups. She put 3 red marbles, 3 blue marbles, and 2 yellow marbles in each group. How many marbles did she have in all? A. 16 B. 18 C. 24 D OA.8 2 Step Word Problems Page 5 of 27

6 15. Jenna bought 7 red shirts and 1 green shirt. Each shirt cost the same amount. Jenna spent $48 all together. How much did each shirt cost? A. $6 B. $8 C. $40 D. $ Cindy is making dinner. She cooks the sausage for 34 minutes in the oven. She then puts the sausage in the tomato sauce for 47 minutes. Estimate about how much time she spends on cooking. A. About 100 minutes. Round up both numbers to 50 and add the minutes together. B. About 90 minutes. Round 47 up to 50 since it is closer to 50 than 40 and round 34 up to 40. Then add. C. About 80 minutes. Round 47 up to 50 since it is closer to 50 than 40 and round 34 down to 30. Then add. D. About 70 minutes. Round 47 down to 40 and round 34 down to 30 since it is closer to 30 than 40. Then add. 17. Mr. Keller s class collected 45 cans on Monday and 125 on Tuesday. The class wants to collect a total of 380 cans. How many more cans do they need to collect? A. 210 B. 170 C Joseph and Mike each have 7 trading cards. Greg has 5 fewer cards than Joseph and Mike combined. How many trading cards does Greg have? A. 2 B. 5 C. 9 D OA.8 2 Step Word Problems Page 6 of 27

7 19. A store sells bananas in bunches of 6. Ben buys 5 bunches, and Jill buys 4 bunches. How many bananas did Ben and Jill buy all together? A. 15 B. 20 C. 30 D Sandra gathered books to donate to the library. She gathered 13 books on Tuesday 11 books on Wednesday 6 on Thursday 18 on Friday Her teacher packaged her books into boxes that could hold 8 books. How many boxes did she use? A. 48 B. 6 C Gavin has 28 red marbles. Ricky has 12 more marbles than Gavin. What is the BEST estimate of the number of marbles they have altogether? A. 50 B. 60 C. 70 D Harry and Sam each have 2 apple trees and 2 pear trees in their gardens. How many trees do they have in all? A. 4 B. 6 C. 8 D OA.8 2 Step Word Problems Page 7 of 27

8 23. Scott has $86 in the bank. He buys a computer game that costs $43. Then he spends $27 for a new set of books. How much money does Scott have left? A. $16 B. $26 C. $ Rex has 18 comic books on his bookshelf at home, 5 in his desk at school, and 6 in his backpack. Karen has 37 comic books. How many more comic books does Karen have than Rex? A. 7 B. 8 C. 10 D Four students shared 3 boxes of markers. There were 12 markers in each box. Each student got the same number of markers. How many markers did each student get? A. 3 B. 4 C. 8 D Ella wants to buy a book. She earns $6 per day babysitting. After 4 days of babysitting, she still needs $12 to buy her book. How much is the book? A. $18 B. $22 C. $ Debbie started reading a book with 117 pages. She read 18 pages of the book on Monday and 31 pages on Tuesday. Debbie is going to estimate the number of pages she has left to read. Write an equation that she could use to estimate. 3.OA.8 2 Step Word Problems Page 8 of 27

9 28. Ron is making tablecloths that are 8 feet long. He has one piece of fabric that is 56 feet long and another that is 16 feet long. How many tablecloths can Ron make with the fabric? A. 7 B. 9 C. 32 D A box has 4 rows of pots. There are 8 pots in each row. A gardener planted 2 bean seeds in each pot. Part A Write an equationto represent the total number of bean seeds the gardener planted. Use B to represent the total number of bean seeds planted. Part B What is the total number of bean seeds the gardener planted? 30. A game uses a target like the one shown below. Players earn points by rolling marbles onto the target. The numbers on the target show the number of points a player earns if a marbles lands in that space. A player gets 4 marbles for each turn. Marbles landing anywhere on the shaded space earn 5 points. Marbles landing in the smallest box earn 50 points. Marbles landing in the larger box earn 10 points. If a marbles rolls off the board, no points are earned. Part A The picture below shows where three of Michelle s marbles landed on her first turn. 3.OA.8 2 Step Word Problems Page 9 of 27

10 Write an equation that can be used to determine the total number of points Michelle earned on her first turn. Use P to represent the total number of points. Part B What was the total number of points Michelle earned on her first turn? Part C Michelle earned 20 points on her second turn. Mark the places where her marbles landed on the target below. Explain how you know your answer is correct. Part D What is the greatest number of points Michelle could earn in one turn? Show or explain how you got your answer. Part E On her last turn, Michelle earned 70 points. Describe two different ways she could have earned this number of points. Show or explain how you know your answers are correct. 3.OA.8 2 Step Word Problems Page 10 of 27

11 31. Josh walks 3 miles each day. His goal is to walk 12 miles. After 2 days, he writes the equation 3 2+ m = 12. How many miles, m, does Josh have left to walk in order to meet his goal? A. 2 B. 3 C. 6 D The art club needs to raise $1,250 for new supplies. The first week they raised $275. The second week they raised $325. How much more does the art club need to raise? A. $650 B. $875 C. $925 D. $1, Which answer is the best estimate for a in? A. Between 250 and 300 because and and. B. Between 250 and 260 because and C. Between 270 and 280 because and D. Between 290 and 300 because and 3.OA.8 2 Step Word Problems Page 11 of 27

12 34. There are 27 students divided equally in 3 groups. If each student needs 2 pencils, how many pencils will each classroom get? A. 9 B. 18 C. 32 D Johnny has 8 bags with 2 pieces of candy in each, and Julius has 12 pieces of candy. How many more pieces does Johnny have than Julius? A. 2 B. 4 C. 10 D Wanda bought three boxes of cookies. Two boxes had 10 cookies. The third box had 8 cookies. Which equation shows the total number of cookies, c, Wanda bought? A = c B = c C = c D = c 37. Zander set a goal to read 36 books in one year. He read 3 books each month for the first 4 months of the year. Which equation shows, b, how many more books Zander needs to read to reach his goal? A. B. C. D. 3.OA.8 2 Step Word Problems Page 12 of 27

13 38. Celina bought 4 pineapples at a fruit stand. She gave the seller $20 and received $8 in change. Part A Write an equation to find the cost of each pineapple. Use p to represent the cost of each pineapple. Part B What is the cost, in dollars, of each pineapple? Show or explain your work. 39. Anne made friendship bracelets on Monday, Tuesday, and Wednesday. On Tuesday, she made 5 bracelets. On Wednesday, she made 12 bracelets. When she finished, she had a total of 21 bracelets. How many bracelets did Anne make on Monday? A. 38 B. 26 C. 17 D Sam goes to football practice 2 hours each day. On one of the days, Sam practices an additional 1 hour. Which equation, when solved, will tell how many days, d, it will take to practice 11 hours? A. 2 d + 1 = 11 B. 2 d + 1 = 11 C. 2 + d 1 = 11 D. 2 d + 1 = Darren spent 90 minutes at the beach on Saturday. He ate lunch for 27 minutes and played a game for 32 minutes. He spent the rest of the time swimming. About how long did Darren spend swimming? A. 30 minutes B. 60 minutes C. 140 minutes D. 150 minutes 3.OA.8 2 Step Word Problems Page 13 of 27

14 42. Casey had a pack of 48 crayons. She lost 8 of the crayons at school and her brother broke 4 of them. How many whole crayons does Casey have now? A. 60 B. 52 C. 36 D The picture below shows that the total weight of six identical boxes and one ball is 57 pounds. The ball weighs 15 pounds. What is the weight, in pounds, of each box? A. 6 B. 7 C. 12 D OA.8 2 Step Word Problems Page 14 of 27

15 44. Sarah divided 96 pennies into 24 groups. Each group had the same number of pennies. She gave Tracy 9 groups of pennies. Part A Write an equation to show how many pennies Sarah gave Tracy. UseP for the missing number. Part B Solve the equation for P. 45. A group of 3 friends went out for lunch. Their food cost $21 and their drinks cost $6. If they split the bill equally, how much did each friend pay? A. $5 B. $9 C. $27 D. $ Part A Brady bought 4 packs of crayons. His friend gave him 9 more crayons. Brady now has 41 crayons. Write an equation using p to represent the number of crayons in each pack. How many crayons were in each pack? Part B Brady will give his sister any crayons he has left over after he puts all of the 41 crayons into groups of 12. Draw a model to show how Brady could group the crayons. How many crayons will his sister get? 3.OA.8 2 Step Word Problems Page 15 of 27

16 47. Misha is cleaning cars to earn $100 for a camping trip. He earns $12 for washing the outside of a car and $8 for sweeping the inside. Part A If Misha performs both tasks on each car, how many cars would he need to wash and sweep to make enough money for the trip? Write an equation to represent this problem where c represents the number of cars. Show or explain your work. Part B Misha has already washed the outside of 3 cars and swept the inside of 2 other cars. How much more money does Misha need to earn to meet his goal for the camping trip? Write an equation to represent this problem where m represents how much more money Misha needs. Show or explain your work. 48. Kerry runs 4 miles each day, 7 days a week. She has already run 24 miles this week. How many more times will Kerry run this week? A. 1 B. 2 C. 3 D. 4 3.OA.8 2 Step Word Problems Page 16 of 27

17 49. Five trucks arrived at a grocery store. Each truck was carrying four large boxes of fruit. The next day, two more trucks arrived with the same number of boxes on each truck. How many boxes were delivered in the two days? A. 7 B. 11 C Tanisha has 30 pencils. James has 13 fewer pencils than Tanisha. Which equation can be used to find the total number of pencils, p, that Tanisha and James have? A. B. C. D. 3.OA.8 2 Step Word Problems Page 17 of 27

18 51. Maya had 10 stamps. She bought 10 more and gave 5 to her brother. Which equation can be used to find the number of stamps, n, Maya had left? A. B. C. D. 52. David has five times as many erasers as Tyler. When Tyler buys 3 more erasers, he will have 12. How many erasers does David have? A. 45 B. 30 C Mrs. Arnold had $65 to spend on class supplies. She spent $23 on notebooks and $16 on pencils. Which equation can be used to determine m, the amount of money Mrs. Arnold had left after she bought the supplies? A. B. C. D. 54. A student has 54 toy cars to put on shelves in a bookcase. Each shelf holds 8 cars. The student has 14 cars left over that did not fit in the bookcase. Which equation shows the number of shelves, n, in the bookcase? A. B. C. D. 3.OA.8 2 Step Word Problems Page 18 of 27

19 55. Blue Elementary School ordered 48 new student chairs in May and 24 new student chairs in June. The chairs were divided evenly among 9 kindergarten classrooms. How many new student chairs did each classroom receive? A. 8 B. 7 C. 6 D Leni and Erin want to buy 4 toys for $7 each. They have a $50 bill. Write a number sentence to show how much change, c, Leni and Erin will get back after they pay for the toys. Leni estimates that they will get about $20 back in change. Is her estimate reasonable? Tell how you know. Use words, numbers, and/or pictures to show your work. 57. Reggie sorts triangles into 3 groups by color. The red and blue groups each have 9 triangles. The yellow group has 14 triangles. Which equation shows the total number, t, of triangles Reggie sorts? A. B. C. D. 58. Sue has 3 cookies. Bobby has 7 cookies. They want to share the cookies equally. How many cookies will they each have? A. 10 B. 5 C. 2 3.OA.8 2 Step Word Problems Page 19 of 27

20 59. Charles has 3 boxes of crayons. Maria has 2 boxes of crayons. Each box has 5 crayons in it. How many total crayons do they have? A. 30 B. 28 C Beth had $50. Then she spent $5 each month for 4 months. At the end of 4 months, how much money did Beth have? A. $20 B. $30 C. $45 D. $ Allie s horse, Scout, runs 3 miles every day. On one of the days, Scout runs an additional 2 miles. Which equation is used to find how many days, d, it will take Scout to run 20 miles? A. 3 d + 2 = 20 B. 3 d + 2 = 20 C. 3 + d 2 = 20 D. 3 d 2 = Jake buys lunch at school 5 days a week. He spends $2 each day. How much does Jake spend in 2 weeks? A. $5 B. $10 C. $20 3.OA.8 2 Step Word Problems Page 20 of 27

21 63. John had 12 baseball cards. He bought 5 more cards at the store. His dad gave him 6 more. Which set of equations can be used to find the total number of baseball cards, c, John has now? A. B. C. D. 64. A group of 4 children went to an ice cream shop. The children s ice cream cost $8 all together. They paid with a $20 bill and shared the change equally. How much change did each child get? A. $3 B. $7 C. $12 D. $ Meg has 4 fish. Santi has 3 times as many fish as Meg. Kari has 27 fish. How many more fish does Kari have than Santi? A. 12 fish B. 15 fish C. 20 fish 3.OA.8 2 Step Word Problems Page 21 of 27

22 66. TASK: A video game store places their games on racks based on the price. One rack has $20 games. One rack has $40 games and one rack has $50 games. Part A. A customer comes into the store and buys $160 worth of video games. Use equations to show 3 different possible combinations of games the customer could have bought. Write your answer in the space below. Part B. The owner of the store decides to offer a $10 discount if a customer spends $50. Write 5 different expressions to show how much money the customer will spend at each $50 level. Use g for the number of $50 video games the customer buys. Write your answers in the space below. Part C. A customer came back to the store and returned 4 video games for $50 each. The customer estimates that he could buy five $20 games with the money he received. Does the customer's estimate make sense? Write your answers in the space below. 67. The chart below shows the number of ice cream cones sold in one week. There were a total of 400 ice cream cones sold. Day Ice Cream Cones Sold Monday 103 Tuesday 87 Wednesday 56 Thursday 92 Friday? How many ice cream cones were sold on Friday? A. 62 B. 72 C. 238 D OA.8 2 Step Word Problems Page 22 of 27

23 68. Ten students need six pencils each. They already have forty pencils. How many more pencils do they need? A. 20 B. 46 C. 56 D Joshua has 612 baseball cards. He gave 419 cards to his brother and then bought 232 new cards. How many cards does Joshua have now? A. 193 B. 325 C. 425 D Peggy s parents spent $73 at the shoe store. Peggy s shoes and her sister s shoes each cost $24. The rest of the money was spent on her brother s shoes. How much did her brother s shoes cost? A. $25 B. $48 C. $ Kendra wants to read 20 books during the week. She can read 5 books each day. After 3 days, how many more books does Kendra have to read? A. 4 B. 5 C. 15 D OA.8 2 Step Word Problems Page 23 of 27

24 72. Susan has 3 bags of marbles. There are 9 marbles in each bag. Lara has 40 marbles. How many more marbles does Lara have than Susan? A. 13 B. 27 C. 31 D Billy divided a pack of pencils equally with his brother. His mother gave him 3 more. Then he had 10 pencils. How many pencils were in the pack? A. 5 pencils B. 7 pencils C. 13 pencils D. 14 pencils 74. There are 9 bears at the zoo. The zookeeper gives each bear 5 fish to eat. One bear does not eat 2 of his fish. Which equation represents how many fish, f, were eaten? A = f B = f C = f 75. Newbury Elementary School students collected old phone books for recycling. On Monday and Tuesday, they collected a total of 406 books. From Wednesday through Friday, they collected twice as many as Monday and Tuesday. About how many phone books did they collect altogether? A. 400 B. 800 C. 1,000 D. 1,200 3.OA.8 2 Step Word Problems Page 24 of 27

25 76. Marshall wants to save 900 box tops. He saved 135 in one month. He saved 83 the next month. About how many more box tops does Marshall need to save? A. fewer than 300 B. between 300 and 600 C. between 600 and 800 D. more than Amy went shopping and bought shoes for $58, sunglasses for $12, and a coat. She spent $160. Amy found the cost of the coat by solving c = 160. How much money did Amy spend on the coat if c = the cost of the coat? A. $100 B. $90 C. $70 D. $ Sean is saving for a bike that costs $75. He has saved $30. Sean will continue to save $5 a week until he can buy the bike. How many more weeks does Sean need to save his money? A. 6 B. 9 C. 15 D Lynne had 13 cookies. She gave 2 cookies to each of her 6 friends. How many cookies did she have left? A. 1 B. 11 C. 12 D OA.8 2 Step Word Problems Page 25 of 27

26 80. Jenny buys 3 packages of stickers. There are 6 stickers in each package. Jenny wants to share the stickers equally with her brother. Which equation should Jenny use to find the number of stickers, N, to give her brother? A. B. C. D. 81. Charlene had n pieces of candy. She gave 4 pieces to each of her eight friends. Now she has 16 pieces left. Which number sentence represents this situation? A. n (4 8) = 16 B. (4 8) 16 = n C. n + (4 8) = 16 D. n + 16 = (4 8) 82. Steven has 4 bags of erasers. Each bag has 9 erasers in it. Steven shares the erasers between himself and 5 friends. How many erasers does each child get? A. 4 B. 6 C. 8 D Jose bought 2 tubs of ice cream for $3 each. He also bought a bottle of chocolate syrup for $2. Which equation represents how much money, M, Jose will spend? A. M = B. M = (2 3) + 2 C. M = D. M = (2 + 3) 2 3.OA.8 2 Step Word Problems Page 26 of 27

27 84. A family of 2 adults and 3 children is going to the museum. The family has $85 to spend at the park. Tickets for adults cost $18 each, and tickets for children cost $15 each. Part A Write and solve an equation that represents a, the total cost of the adults' tickets to the museum. Part B Write and solve an equation that represents c, total cost of the children's tickets to the museum. Part C Write and solve an equation that represents m, the amount of money the family will have left after paying for everyone's tickets. Show your work or explain how you got your answer. 85. A farmer fills 4 boxes with eggs. Each box holds 6 eggs. After the farmer fills the boxes he has 3 eggs left over. How many total eggs does the farmer have? A. 13 B. 18 C. 27 D Karen had 100 tickets to use on games and rides at the fair. She used 24 tickets on games and 17 tickets on rides. About how many tickets did Karen have left, rounded to the nearest ten? 87. A student read 7 pages of a book each day for 3 days. The total number of pages in the book is 100. Part A Write an equation using p to represent the number of pages the student has left to read. Part B How many pages does the student have left to read? Show or explain your work. 3.OA.8 2 Step Word Problems Page 27 of 27