1. Mr. Perkins used the expression to find how much change he should receive. How much change should he receive?

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Erika Caldwell
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1 Getting Ready for Sixth Grade Summer Math Practice The following are practice questions to evaluate the students understanding of concepts and skills taught in fifth grade as a readiness for sixth grade. 1. Mr. Perkins used the expression to find how much change he should receive. How much change should he receive? $2 $4 $6 $14 2. Meredith and her brother Liam are saving to buy a basketball hoop that costs $75. Meredith earns $15 per week for babysitting and spends $6 of it. Liam earns $10 per week for walking dogs and spends $4 of it. Which expression can be used to find out how many weeks it will take to save for the basketball hoop? 3. A hotel costs $89 per night. Sally will receive a $5 per night discount for paying in advance. A rental car costs $35 per day plus taxes that total $4 per day. Which expression can Sally use to find how much she will pay for the hotel and rental car for 5 days?

What is the unknown number in Sequence 2 in the chart? 63 90 105 150 6.

2 4. William won 50 tickets at the arcade. He redeemed 30 tickets for a prize and gave 5 tickets to Katelyn. Which expression can William use to find how many tickets he has left? 5. What is the unknown number in Sequence 2 in the chart? Nomi is making a pattern of square tiles, as shown below. The side lengths of the tiles are 2 centimeters. Suppose Nomi continues the pattern. What will be the distance around Figure 7? 14 centimeters 49 centimeters 56 centimeters 98 centimeters

3 7. Riva lives 300 miles from her grandparents. George lives 10 times that distance from his grandparents. How many miles does George live from his grandparents? 30 3,000 30, , The Davis family pays $200,000 for a new house. They make a down payment that is payment? $20 $200 $2,000 $20,000 of the price of the house. How much is the down 9. A publisher reports that it sold 2,419,386 children s magazines. What is the value of the digit 2 in 2,419,386? 200,000,000 20,000,000 2,000, , A company manufactured forty-eight million, seven hundred fifty thousand toothpicks last month. What is this number written in standard form? 48,750,000 48,700,050 48,000,750 48, What is the relationship between and 0.08? is of is of is 10 times as much as is equal to 0.08

4 12. Patel hopes to be one of the first fans to get into the stadium for the baseball game because the first 30,000 fans will receive a baseball cap. Which shows 30,000 as a whole number multiplied by a power of ten? 13. So far the fifth-grade students at Silver Run Elementary School have raised $200 toward their class trip. They need to raise 8 times as much to pay for the whole trip. How much money do the fifth-grade students need to raise in all? $16 $1,600 $16,000 $160, Ganesh is making a scale model of the Space Needle in Seattle, Washington, for a report on the state of Washington. The Space Needle is 605 feet tall. If the model is of the actual size of the Space Needle, how tall is the model? foot 6.05 feet 6.5 feet 60.5 feet 15. Kareem was doing research for a report about the longest rivers on Earth. He read that the Nile River is miles long. How should Kareem write the length of the Nile River in standard form on his report? 4.16 miles 41.6 miles 416 miles 4,160 miles

5 16. Tanya baked 100 cupcakes one morning in a bakery. She used 64 ounces of frosting to decorate the cupcakes. If each cupcake had the same amount of frosting, how much frosting did Tanya put on each cupcake? ounce ounce 0.64 ounce 6.4 ounce 17. A penny has a diameter of meter. What is written in word form? nineteen thousandths nineteen hundredths nineteen tenths nineteen 18. The four highest scores on the floor exercise at a gymnastics meet were 9.675, 9.25, 9.325, and 9.5. Which shows the order of the scores from least to greatest? 9.5, 9.25, 9.325, , 9.5, 9.325, , 9.5, 9.325, , 9.325, 9.5, It takes the dwarf planet Pluto years to revolve once around the sun. What is years rounded to the nearest whole number of years? 247 years years years 248 years 20. Hector does 165 sit-ups every day. How many sit-ups does he do in 7 days? 1,155 1,145 1,

6 21. Francine took 42 photos with her digital camera. She stored an equal number of photos in each of 3 folders on her computer. Which multiplication sentence could Francine use to find the number of photos in each folder? 22. Marta has 16 postcards from each of 8 different cities in Pennsylvania. She can fit 4 postcards on each page of her scrapbook. How many pages in the scrapbook can Marta fill with postcards? The last problem on Jacob s math test was. In what place should Jacob write the first digit of the quotient for the problem? ones tens hundreds thousands 24. Sophia wants to buy collector boxes that can hold 6 dolls each. How many boxes will Sophia need to buy for her collection of 168 dolls? ,008

7 25. Jacob divided 976 by 28 using partial quotients. What is missing from Jacob's work? Alex is saving up to buy a guitar that costs $855. He plans to save $45 a month. How many months will it take him to save enough money to buy the guitar? 19 months 21 months 23 months 25 months 27. Diego estimates that 3 is the first digit in the quotient of the problem below. Which of the following is correct? 3 is the correct first digit of the quotient. 3 is too low. The first digit should be adjusted to 4. 3 is too low. The first digit should be adjusted to 5. 3 is too high. The first digit should be adjusted to 2.

8 28. Ricardo s dog weighs 6 times as much as his cat. The total weight of his two pets is 98 pounds. How much does Ricardo s dog weigh? 92 pounds 84 pounds 16 pounds 14 pounds 29. It took Margo 0.5 hour to do her science homework and 0.9 hour to do her math homework. How long did it take Margo to do her science and math homework? 0.14 hour 0.45 hour 1.04 hours 1.4 hours 30. A town plans to add a 3.88-kilometer extension to a road that is currently 5.02 kilometers long. Which is the best estimate of the length of the road after the extension is added? 1 kilometer 2 kilometers 4 kilometers 9 kilometers 31. Students are selling handmade magnets at the school craft fair. One magnet costs $0.30, 2 magnets cost $0.43, 3 magnets cost $0.56, and 4 magnets cost $0.69. If this pattern continues, how much will 6 magnets cost? $0.82 $0.93 $0.95 $1.02

9 32. Mario has $15. If he spends $6.25 on admission to the ice skating rink, $2.95 to rent skates, and $1.65 each for 2 hot chocolates, how much money will he have left? $2.50 $3.50 $4.15 $ Della s cats weigh 9.8 and 8.25 pounds, and her dog weighs 25 pounds. How much more does her dog weigh than the total weight of both of her cats? 6.95 pounds 15.2 pounds pounds pounds 34. Gina is training for a marathon. She ran 4.6 miles on Friday and 6.75 miles on Saturday. On Sunday, she ran 13 miles. How much farther did she run on Sunday than she did on Friday and Saturday combined? 1.65 miles 6.25 miles miles miles

35. Callie used a decimal model to help her multiply a decimal by a whole number. What equation does the model show? 36. Marci mailed 9 letters at the post office. Each letter weighed 3.5 ounces.

10 35. Callie used a decimal model to help her multiply a decimal by a whole number. What equation does the model show? 36. Marci mailed 9 letters at the post office. Each letter weighed 3.5 ounces. What was the total weight of the letters that Marci mailed? 33.5 ounces 32.5 ounces 31.5 ounces 27.5 ounces 37. Mari and Rob are making a science poster. They need to write how much a rock that weighs 7 pounds on Earth would weigh on Mars. They know they can multiply weight on Earth by 0.38 to find weight on Mars. What number should they write on their poster? pound 2.66 pounds 26.6 pounds 266 pounds

38. The Barbers are keeping track of their family energy costs. It costs the Barbers $0.16 per week to run their dishwasher. How much will it cost them to run their dishwasher for 52 weeks? $8.64 $8.

11 38. The Barbers are keeping track of their family energy costs. It costs the Barbers $0.16 per week to run their dishwasher. How much will it cost them to run their dishwasher for 52 weeks? $8.64 $8.32 $3.64 $ At a dry cleaning store, it costs $1.79 to clean a man s dress shirt and $8.25 to clean a suit. Thomas brought in 4 shirts and 1 suit to be cleaned. How much will he be charged for the dry cleaning? $15.41 $10.04 $8.95 $ Keisha used this decimal model to help her multiply. What equation does the model show?

12 41. Emily stopped at a produce stand to buy some tomatoes. Tomatoes cost $1.25 per pound at the stand. Emily bought 5 tomatoes that weighed a total of 1.8 pounds. How much did Emily pay for the tomatoes? $2.25 $3.05 $6.25 $ Denise, Keith, and Tim live in the same neighborhood. Denise lives 0.3 mile from Keith. The distance that Tim and Keith live from each other is 0.2 times longer than the distance between Denise and Keith. How far from each other do Tim and Keith live? 0.6 mile 0.5 mile 0.1 mile 0.06 mile 43. A plumber has a piece of copper tubing that is inches long. He needs to cut the tubing into 12 equal pieces to repair some leaky pipes. How long will each piece of tubing be? inch 0.94 inch 9.4 inches 94 inches 44. Latisha hiked along a trail that was 9.66 miles long last Saturday. It took her 4.2 hours to complete the trail. What was Latisha s average speed per hour? 0.23 mile per hour 2.3 miles per hour 20.3 miles per hour 23 miles per hour

13 45. Trevor drove 202 miles to visit his grandparents. It took him 4 hours to get there. What was the average speed that Trevor drove? 5.05 miles per hour 5.5 miles per hour 50.5 miles per hour 55 miles per hour 46. Jocelyn bought 2 sweaters for the same price. She paid $23.56, including sales tax of $1.36 and a $5.00 coupon. What was the price of one sweater before the tax and coupon? $8.60 $19.96 $13.60 $ Alana bought pound of Swiss cheese and pound of American cheese. Which pair of fractions cannot be used to find how many pounds of cheese she bought in all? and and and and 48. Charles bought foot of electrical wire and foot of copper wire for his science project. What is the least common denominator of the fractions?

14 49. Mr. Barber uses yard of wire to put up a ceiling fan. He uses yard of wire to fix a switch. How much more wire does he use to put up the fan than to fix the switch? s 50. David practices piano for hours on Monday and hours on Tuesday. How much longer does he practice piano on Tuesday than on Monday? 51. Ken bought pounds of apples at the farmers market. Abby bought pounds of apples. How many pounds of apples did Ken and Abby buy in all?

15 52. Giselle made ounces of lemonade. She sampled ounces to make sure it is not too sour. How much lemonade is left? 53. When Bruce started bowling, he won of the games he played. Within six months, he was winning of his games. If he improves at the same rate, what fraction of his games should he expect to win after another six months?

54. Ava hiked a trail that has three sections that are miles, miles, and miles long. Ava wrote this expression to show the total distance that she hiked.

16 54. Ava hiked a trail that has three sections that are miles, miles, and miles long. Ava wrote this expression to show the total distance that she hiked. Which shows another way to write the expression using only the Commutative Property of Addition? Use the information to answer the question. Gabrielle paints a flower pot to sell at the craft fair. She paints of the pot teal, of the pot yellow, and the rest of the pot white. 55. Which fraction strips should Gabrielle trade for the how much of the pot is painted teal or yellow? strip in order to find

17 56. How much of the pot is painted teal or yellow? 57. Ron walked walked mile from his grandmother's house to the store. Then he mile to his house. About how far did he walk altogether? about 1 mile about 2 miles 58. Sophia baby-sat for hours on Friday. She baby-sat hours on Saturday. Which is the best estimate of how many hours Sophia baby-sat altogether? about 6 hours about 7 hours

18 59. Jacques caught 3 fish weighing a total of pounds. Two of the fish weighed and pounds. How much did the third fish weigh? 60. The pool director has a list of 123 students who have signed up for swimming lessons. The pool director can register 7 students in each class. What is the least number of classes needed for all the students to be registered in a class? Twelve friends share 4 pizzas equally. What fraction of a pizza does each friend get?

62. Yoshi wants of his garden to have red flowers. His garden has an area of 3 square yards. He used a model to find the area of his garden that will have red flowers.

19 62. Yoshi wants of his garden to have red flowers. His garden has an area of 3 square yards. He used a model to find the area of his garden that will have red flowers. What area of Yoshi s garden will have red flowers? 63. Julia has a recipe for salad dressing that calls for cup of sugar. Julia is making 5 batches of the salad dressing. How much sugar will she use?

64. Taniqua took a test that had 20 questions. She got correct. How many questions did Taniqua get correct? 25 16 15 12 of the questions 65. Marta breaded of the fish she cooked for dinner.

20 64. Taniqua took a test that had 20 questions. She got correct. How many questions did Taniqua get correct? of the questions 65. Marta breaded of the fish she cooked for dinner. She ate of the breaded fish. She used a model to find how much of the fish she had eaten. How much of the fish did Marta eat? 66. Mrs. Stephens wrote 4 statements on the board and asked the class which one was true. Which statement below is true? is equal to. is less than. is less than is greater than 5.

21 67. It took Mary Lou hour to write a report for her English class. It took Heather statement below is true? as much time to write her report as it took Mary Lou. Which It took them both the same amount of time. Mary Lou spent less time writing her book report than Heather. Mary Lou spent more time writing her book report than Heather. It took Heather twice as long to write her book report than it took Mary Lou to write her book report. 68. Jared made cups of snack mix for a party. His guests ate of the mix. How much snack mix did his guests eat? 69. Kayla walks miles for exercise each day. What is the total number of miles she walks in 31 days?

22 70. Kwami bought 8 yards of lanyard. He cut the lanyard into How many pieces of lanyard did Kwami make? -yard pieces Lily made 3 pounds of coleslaw for a picnic. Each serving of coleslaw is pound. How many -pound servings of coleslaw are there? Samara solved multiplication sentence could she have used? by using a related multiplication sentence. Which

23 73. Lucy bought 9 yards of ribbon on a spool. She cut the ribbon into -yard pieces. Which equation represents the number of pieces of ribbon, n, Lucy has now? 74. Which situation can be represented by? Rita has a piece of ribbon that is foot long. She cuts it into 6 pieces, each having the same length. How many feet long is each piece of ribbon? Rita has 6 pieces of ribbon. Each piece is foot long. How many feet of ribbon does Rita have in all? Rita has a piece of ribbon that is 6 feet long. She cuts it into pieces that are foot long. How many pieces of ribbon does Rita have? Rita has a piece of ribbon that is 6 feet long. She cuts it into 3 pieces. How many feet long is each piece of ribbon? 75. The first stop on a bus route is 4 miles from school. How many yards are in 4 miles? 48 yards 144 yards 7,040 yards 21,120 yards

24 76. Brandon bought a 5-gallon container of paint to paint his house. After he finished painting, he had 2 quarts of paint left over. How many quarts of paint did Brandon use? 3 quarts 8 quarts 18 quarts 23 quarts 77. An art teacher has a roll of art paper 5 meters long. She needs to cut it into 1-decimeter long pieces for a collage project. How many 1-decimeter pieces can she cut from the roll of art paper? , The largest known carnivorous dinosaur, Spinosaurus, weighed about 18,000 pounds. How many tons did the Spinosaurus dinosaur weigh? 9 tons 18 tons 36 tons 90 tons

25 79. It takes Kate 10 minutes to walk to the bus stop. How many seconds does it take her to walk to the bus stop? 6,000 seconds 600 seconds 60 seconds 6 seconds Use the line plot to answer the question. Maya measured the heights of the seedlings she was growing. She made a line plot to record the data. 80. What was the total growth, in inches, of Maya's seedlings? 3 inches 7 inches 10 inches 81. Leroy starts to work a part-time job. He saves $25 of his earnings each month. By the end of the second month, he saves $50 in all. How much will he save by the end of 24 months? $75 $600 $1,200 $1,800

26 82. Koji is building a tower out of paper. He starts by making 2 congruent circular bases. He then makes 1 curved surface for the body of the tower. What three-dimensional figure does Koji build? cone cylinder prism sphere 83. Which of the following best classifies this solid figure? triangular pyramid triangular prism square pyramid square prism 84. Diana used more than one unit cube to build a figure. When she traced around the figure, she drew a square. What is the least number of unit cubes she could have used?

540 cu in. 720 cu in. 1,080 cu in. 86. Claudine filled a box with smaller boxes shaped like cubes. What is the volume of the box Claudine filled?

27 85. Joe packed tissue boxes into a larger box. If the volume of each tissue box is 90 cubic inches, which is the best estimate for the volume of the box that Joe packed with tissue boxes? 360 cu in. 540 cu in. 720 cu in. 1,080 cu in. 86. Claudine filled a box with smaller boxes shaped like cubes. What is the volume of the box Claudine filled? 15 cubic inches 25 cubic inches 100 cubic inches 120 cubic inches 87. Luke keeps his art supplies in a shoe box that is 12 inches long, 7 inches wide, and 5 inches high. What is the volume of the shoe box? 420 cubic inches 358 cubic inches 240 cubic inches 24 cubic inches

28 88. Will moved a box of old newspapers from the back room of the library. What is the volume of the box? 10 cubic feet 15 cubic feet 30 cubic feet 40 cubic feet 89. Sylvia can buy a blue box or a green box to store her markers. Both boxes have a base that measures 8 inches by 4 inches. The height of the blue box is 2 inches. The height of the green box is 1 inch. How much greater is the volume of the blue box than the green box? 96 cu in. 64 cu in. 35 cu in. 32 cu in. 90. Dmitri built a step out of blocks. What is the volume of the step? 360 cu in. 450 cu in. 540 cu in. 750 cu in.

29 Use the coordinate grid to answer the question. The map shows the location of the attractions in an amusement park. 91. Which attraction is located at (2, 4)? Rollercoaster Ferris Wheel Water Slide Haunted Houses 92. What information is represented by the point labeled A? The puppy weighed 4 pounds at age 35 months. The puppy weighed 40 pounds at age 4 months. The puppy weighed 35 pounds at age 4 months. The puppy weighed 35 pounds at age 5 months.

93. A scientist made a line graph that showed how a bear s average heart rate changes over time. Based on the graph, which statement is true? A bear s average heart rate rarely changes.

30 93. A scientist made a line graph that showed how a bear s average heart rate changes over time. Based on the graph, which statement is true? A bear s average heart rate rarely changes. A bear s average heart rate starts to decrease at the end of the summer. A bear s average heart rate increases over time. A bear s average heart rate is at its lowest in the summer. 94. Mr. Delgado sees this sign while he is driving. Which best describes the sign? triangle; regular polygon triangle; not a regular polygon hexagon; regular polygon hexagon; not a regular polygon 95. A stained glass window at the town library is the shape of a regular octagon. Which of the following describes a regular octagon? a figure with 6 congruent sides and 6 congruent angles a figure with 6 sides that are not congruent a figure with 8 sides that are not congruent a figure with 8 congruent sides and 8 congruent angles

31 96. Beth drew four quadrilaterals. Which of the quadrilaterals that she drew is a regular polygon? 97. Nathan drew this triangle. Which of the following best classifies the triangle? scalene, acute scalene, obtuse isosceles, acute isosceles, obtuse

98. Amanda drew this triangle. Which of the following best classifies the triangle? equilateral, acute isosceles, acute scalene, acute isosceles, right 99.

32 98. Amanda drew this triangle. Which of the following best classifies the triangle? equilateral, acute isosceles, acute scalene, acute isosceles, right 99. Keiko drew the shapes of her tables on grid paper. Then she cut them out and used them on a floor plan to help arrange her furniture. Which two shapes that Keiko drew are congruent? A and B A and C B and C B and D 100. The patio at the front of the school is a quadrilateral with 4 right angles and 4 congruent sides. What type of quadrilateral is it? trapezoid square rhombus rectangle

Name. Numeration, Patterns, and Relationships. Read each question. Then mark your answer on the sheet. 1. What is the value of the 2 in 258,364?

Name. Numeration, Patterns, and Relationships. Read each question. Then mark your answer on the sheet. 1. What is the value of the 2 in 258,364? Numeration, Patterns, and Relationships 1. What is the value of the 2 in 258,364? A 20 B 200 C 2,000 D 200,000 2. In standard form 5,000,000 20,000 400 8 is equal to which number? A 5,200,408 B 5,020,408