New York CCLS. Practice. NYS Test. Mathematics. Addresses latest. updates from 11/20/12. Replaces Practice Test 3

Transcription

1 C o m m o n C o r e E d i t i o n New York CCLS Practice 5 Mathematics Addresses latest NYS Test updates from 11/20/12 Replaces Practice Test 3

2 To the Student Ready New York CCLS Practice is a review program for the Common Core Learning Standards for Mathematics. In this practice test, you will answer 72 Math questions (62 multiple-choice, 6 shortresponse, and 4 extended-response). Your teacher will explain how you will do the practice test and record your answers. Be sure to follow the directions. As you complete the practice test, answer the questions carefully. Use the Answer Form on page 43 to record your answers to the multiple-choice questions. Remember to fill in the answer bubbles completely. If you change an answer, you must erase your first answer fully. You will write out your answers to the short- and extended-response questions in the book. While you work on the practice test, use the Testing Tips below. Read these helpful tips carefully. They can make you a better test taker. Testing Tips for Answering Multiple-Choice Questions Read each question carefully before you try to answer it. Be sure you know what the question is asking you to do. Cross out any answer choices that are not reasonable. Then make your choice from the remaining choices. Read the question again. Check that your answer makes sense. Contents Grade 5 Mathematics Reference Sheet Practice Test Book Book Book Answer Form ISBN Curriculum Associates, LLC North Billerica, MA Permission is granted for reproduction of this book for school/home use. All Rights Reserved. Printed in USA

3 Grade 5 Mathematics Reference Sheet* FORMULAS h l w Right Rectangular Prism Volume Volume lwh Bh CONVERSIONS 1 centimeter 10 millimeters 1 meter 100 centimeters 1,000 millimeters 1 kilometer 1,000 meters 1 gram 1,000 milligrams 1 kilogram 1,000 grams 1 pound 16 ounces 1 ton 2,000 pounds 1 cup 8 fluid ounces 1 pint 2 cups 1 quart 2 pints 1 gallon 4 quarts 1 liter 1,000 milliliters 1 kiloliter 1,000 liters 1 mile 5,280 feet 1 mile 1,760 yards *Reprinted courtesy of New York State Education Department. Go On 1

4 Book 1 Answer questions 1 through The drama club members estimate that they need 864 bags of popcorn to serve during the intermission of their play. Popcorn comes in cases of 24 bags, and they pay $18 for each case. How much did they pay for all of the popcorn? A $432 B $648 C $864 D $1,152 2 Which prism has a volume of 60 cubic units? A C B D 2 Book 1

5 3 In which model does the shaded section represent the product of 5 } 8 and 3 } 8? A C B D Go On Book 1 3

6 4 A rectangular prism made of 1-millimeter unit cubes is shown below. 9 mm 10 mm [not drawn to scale] 7 mm Which expression can be simplified to find the total number of unit cubes? A B C D Which expression is equal to 54? A 4 1 5(3 1 7) B (4 1 7) 1 11 C 5(4 1 10) D 5(12 2 6) 4 Book 1

7 6 Zach divides 6 cups of fruit juice equally among 8 friends. How much fruit juice does each friend get? A 1 } 4 cup B 3 } 4 cup C 1 1 } 3 cups D 2 2 } 3 cups 7 Vicente is going to use 1 } of his garden space to plant 3 different types of onions. Each type of 4 onion will occupy an equal amount of space. What fraction of the garden space will one onion type occupy? A 1 }} 12 B 1 } 7 C 1 } 4 D 1 } 3 Go On Book 1 5

8 8 Which diagram shows the product ? A B C D Book 1

9 9 Examine the figure below , Which division equation is shown by the area model? A B 2, C 3, D 3, Vaughn wants to put a line of bricks along the back edge of his yard. He needs 35 feet of bricks. The bricks he wants to buy are each 10 inches long and cost $0.98 each. For every two bricks he buys, he gets one free brick. How much will Vaughn need to spend on bricks? A $13.72 B $27.44 C $34.30 D $41.16 Go On Book 1 7

10 11 Jin, Marco, and Myra measured the lengths of three fallen tree branches that they found in a forest. Jin s branch was 25 hundredths of a meter long, Marco s was 6 tenths of a meter long, and Myra s was 3 tenths of a meter long. Which statement is true? A B C D Jin has the longest branch. Myra s branch is longer than Marco s branch. Marco s branch is shorter than Jin s branch but longer than Myra s branch. Marco s branch is longer than the combined length of Jin s and Myra s branches. 12 Mack used the area model below to find What is the quotient? A 20 B 40 C 42 D 54 8 Book 1

11 13 A new road was added near Riana s neighborhood. The road is 5 miles long and the city plans to place a streetlight every }} 1 mile. How many streetlights will be placed on the street? 10 A 2 B 5 C 20 D Which number is one tenth of the expanded form below? A B 3, C D 3, (3 3 1,000) 1 ( ) 1 (7 3 10) 1 (5 3 1) }} }} Go On Book 1 9

12 15 The figure below is composed of two rectangular prisms. What is the approximate volume of the figure? A 60 cm 3 B 72 cm 3 C 135 cm 3 D 207 cm 3 10 Book 1

13 16 Li s recipe uses 3 2 } 3 cups of flour. He plans to make 4 batches. How much flour will Li need? A 14 2 } 3 cups B 12 2 } 3 cups C 9 2 } 3 cups D 7 2 } 3 cups 17 The manager of a sporting goods store ordered 256 packages of football cards to be shipped to the store. There are 24 cards in each package. How many football cards did the manager order? A 232 B 280 C 6,144 D 6,400 Go On Book 1 11

14 18 Matt drew a shape with four sides of different lengths. Two of the sides are parallel. What shape did Matt draw? A B C D pentagon parallelogram rhombus trapezoid 19 Evaluate. (4 3 5) 1 (10 3 3) A 22 B 50 C 60 D What could point M on the number line below represent? M 0 1 A the sum of 0.46 and 0.10 B the sum of 0.29 and 0.27 C the difference of 0.81 and 0.35 D the difference of 0.68 and Book 1

15 21 Dana painted a wall in her bedroom that is 10.5 feet tall and 23.5 feet wide. She used exactly 3 quarts of paint to cover the wall. How many square feet will 1 quart of paint cover? A ft 2 B ft 2 C ft 2 D ft 2 22 How does the product of compare to the product of ? A The product of is 4 times the product of B The product of is 2 times the product of C The product of is 1 } 2 D The product of is 1 } 4 the product of the product of Go On Book 1 13

16 23 Aika wants to find the volume of the prism shown below. 6 m 6 m 8 m [not drawn to scale] Which expression can she simplify to find the volume? A 6 1 (8 1 6) B 6 3 (8 3 6) C 6 1 (8 3 6) D 6 3 (8 1 6) 24 Stanley had $ He bought a notebook for $1.89 and a package of pens for $3.72. He is going to use the rest of his money to buy as many folders as he can that each cost 64 cents. How many folders can Stanley buy? A 7 B 8 C 9 D Book 1

17 25 Which statement best describes the product of 4 } ? A 4 } must be less than 10 because 4 } 5, 1. B 4 } must be greater than 10 because 4 } 5, 1. C 4 } 5 D 4 } must be greater than 10 because must be less than 10 because A store keeps packages of coffee that weigh fractions of a kilogram. The line plot below shows the numbers of packages of different weights that are in stock. COFFEE PACKS AT THE STORE X X X X 4 8 X X X 2 8 Key X 5 1 pack X 4 8 Kacie is going to open all of the packages and pour them into the same container. Then she is going to divide the coffee evenly into 8 separate containers. How much coffee will be in each container? A 13 }} 64 kilogram B 9 }} 32 kilogram C 3 } 8 kilogram D 1 } 2 kilogram Go On Book 1 15

18 27 Jen lives 3 } mile from school. Jen meets Kelsey and Sara along her way to school. Jen 4 walks }} 3 mile by herself before meeting up with Kelsey. Then, Jen and Kelsey walk together 10 for } 1 mile before meeting up with Sara. How far do the three girls walk together to school? 4 A 1 } 5 mile B 9 }} 20 mile C 7 }} 10 mile D 3 } 4 mile 28 A baker bought 7,500 grams of flour for $ How much did each kilogram of flour cost? A $0.26 B $2.56 C $24.41 D $ Book 1

19 29 What is the difference of 2 } 3 and 1 } 2? A 7 } 6 B 1 } 1 C 3 } 5 D 1 } 6 30 At a recent track meet, the fastest time in the 40-yard dash was 4.37 seconds, and the slowest time was 5.8 seconds. What is the difference between the fastest time and the slowest time? A B C D 1.43 seconds 1.53 seconds seconds seconds STOP Book 1 17

20 Book 2 Answer questions 31 through The sides of a triangle measure 4.56 centimeters, centimeters, and 8.95 centimeters. What is the perimeter of the triangle? A B C D cm cm cm cm 32 A rectangle is shown below. What is the area of the rectangle? A 11 cm 2 B 12 cm 2 C 24 1 } 4 cm2 D 29 1 } 4 cm2 18 Book 2

21 33 Which diagram shows ? A B C D Go On Book 2 19

22 34 Jessica has 4 packages of raisins that she wants to give to 3 friends. 1 package 1 package 1 package 1 package If each friend gets the same amount, how many packages of raisins will each friend get? A 1 1 } 3 packages B 1 2 } 3 packages C 2 1 } 3 packages D 2 1 } 2 packages 35 Which pair of numbers completes the table? Inches Feet ?? 1, A B C D 12 inches and 144 feet 240 inches and 10 feet 300 inches and 25 feet 300 inches and 3,600 feet 20 Book 2

23 36 Jalen bought 9 }} pound of blue cheese at the deli. He also bought 1 3 }} pounds of Swiss cheese. He estimated that he bought about 1 } 3 pounds of cheese altogether. Which best 4 shows how he got that estimate? A He rounded 9 }} 16 B He rounded 9 }} 16 to 1 } C He rounded 9 }} 16 to 2 } D He rounded 9 }} 16 to 3 } to 1 and 1 3 }} 16 to 1 1 }. Then, he added the rounded numbers. 4 2 and 1 }} 3 16 to 1 1 }. Then, he added the rounded numbers. 4 3 and 1 }} 3 16 to 1 2 }. Then, he added the rounded numbers. 3 4 and 1 }} 3 16 to 1 }. Then, he added the rounded numbers A juice box is 3 inches long, 2 inches wide, and 4 inches tall. How many juice boxes can fit inside a cooler that is 12 inches long, 8 inches wide, and 8 inches tall? A 24 B 32 C 48 D 64 Go On Book 2 21

24 38 Which situation is best modeled by the expression 1 } 2 4 5? A Glen practices shooting free throws for } 1 hour every day. If he practiced five days in 2 a row, how many hours did he practice? B At Field Day, 5 students combine to run } 1 mile in a relay race. If each student runs the 2 same distance, how far will each student run? C Juana cut 5 yards of rope into pieces that were each } 1 yard long. How many pieces 2 did she cut? D Oliver lives 5 miles from the beach. Piao lives } 1 as far from the beach as Oliver. How far 2 from the beach does Piao live? 39 A rectangular prism is shown below. 9 mm 15 mm [not drawn to scale] 10 mm Which expression can be used to find the greatest number of 1-millimeter unit cubes that could be packed into the prism? A B C D Book 2

25 40 The grids below show two different fractions. 1 Which addition equation do the grids model? A 6 }} B 6 }} C 100 }} D 6 }} 10 1 }} }} }} }} }} }} }} }} Which statement is true? A B C D All parallelograms are squares. All parallelograms are rhombuses. All rectangles are squares. All squares are rhombuses. Go On Book 2 23

26 42 A loaf of bread weighs 5 } pound. Elaine has 6 loaves of bread. Each model below shows one 7 pound. The shaded part of each model shows the weight of one loaf of bread. What is the total weight of the bread that Elaine has? A 4 4 } 7 pounds B 4 3 } 7 pounds C 4 2 } 7 pounds D 4 1 } 7 pounds 43 The table shows the diameters of different types of super balls sold at a store. Ball Type by Letter Diameter (inches) P Q R S Which comparison of super ball diameter is true? A B C D S. R Q, S P. Q R, P 24 Book 2

27 44 Omar put his video game collection on 2 shelves in his room. The case for each video game was } 1 inch thick. The cases filled an entire 28-inch-wide shelf, and 3 games had to go on the 2 second shelf. How many video games are in Omar s collection? A 11 B 27 C 45 D Eddie purchased four roasting chickens at the grocery store. The chickens weighed 7.74 pounds, 8.19 pounds, 6.89 pounds, and 7.51 pounds. What was the total weight of the chickens? A B C D pounds pounds pounds pounds 46 Which statement about a rhombus is always true? A B C D A rhombus is a parallelogram and has four equal sides. A rhombus is a parallelogram and has four equal angles. A rhombus is a rectangle and has four right angles. A rhombus is a rectangle and has four equal sides. Go On Book 2 25

28 47 What is the solution to the following multiplication problem? A 1,429 B 7,261 C 9,139 D 9, In Mrs. Chapman s math class, 2 } Of these students, 2 } 5 of the students got either an A or a B on the last test. 3 got a B. The model illustrates this situation. What fraction of the class got a B on the last test? A 1 }} 15 B 1 } 5 C 4 }} 15 D 4 } 5 26 Book 2

29 49 What is the greatest number of 1-meter unit cubes that will fit into a rectangular prism that is 2 meters tall, 8 meters long, and 4 meters wide? A 4 B 14 C 34 D Marc s goal was to jog 4 miles in the next 3 days. He jogged 1 }} 7 miles on Saturday and 12 9 }} mile on Sunday. Which is the best estimate for the number of miles Marc needs to run 10 on Monday to meet his goal? A 1 } 2 mile B 1 mile C 1 1 } 2 miles D 2 miles 51 In which number does the 9 have a value that is }} 1 of the value of the 9 in 4,391.57? 10 A B C D Go On Book 2 27

30 52 Jada took 1 1 } hours to mow her yard. It took Kam half as long to mow his lawn as it took Jada 2 to mow hers. How long did Kam take to mow his yard? A 1 } 2 hour B 3 } 4 hour C 1 hour D 2 hours 53 Amanda has blueberry plants in her yard. In 2 days, she picked a total of 3 pounds of blueberries. If she picked the same amount of blueberries each day, how many ounces of blueberries did Amanda pick each day? A 12 B 18 C 24 D Which product is less than ? A }} 2 B } 2 C } 2 D } 2 28 Book 2

31 55 How many zeros will be in the simplified expression x? A x B x 2 1 C x 1 1 D 4x 56 The water in a swimming pool evaporates at a rate of 1 } inch per day. The water level in the 6 pool has dropped 3 inches since the last time the pool was filled. How many days have passed since the pool was filled? A 36 days B 18 days C 1 } 2 day D 1 }} 18 day 57 Paco has 2 } 1 be } 1 3 foot of rope left over. How many 1 } 2 A 4 3 feet of rope. If he cuts the rope into pieces that are each 1 } foot long, there will 2 foot pieces will he have? B 2 1 } 2 C 2 D 1 1 } 2 Go On Book 2 29

32 58 Look at the two expressions below. Expression A: 8 3 (1, ) Expression B: 1, How does the value of Expression A compare to the value of Expression B? A The value of Expression A is 8 less than the value of Expression B. B The value of Expression A is 8 more than the value of Expression B. C The value of Expression A is 8 times the value of Expression B. D The value of Expression A is 1 } 8 the value of Expression B. 59 Queisha spent 1 } hour answering 9 homework questions for her history class. She spent the 3 same amount of time on each question. What fraction of an hour did it take Queisha to answer each question? A 1 } 3 B 1 } 9 C 1 }} 12 D 1 }} Book 2

33 60 An art teacher has 9 students in a pottery class. He has pounds of clay that he divides evenly among all the students. Each student will divide his or her clay into 3 equal amounts to make 3 different sculptures. How much clay will be used for each sculpture? A B C D 0.26 pound 0.78 pound 1.76 pounds 2.34 pounds 61 Which equation below gives the correct value of 2 } } } 2? A 2 }} 40 1 }} }} }} 6 40 B 2 } } } 2 5 }} 6 11 C } } } } 5 D 8 }} }} }} }} A gasoline truck is carrying liters of gasoline. What is this number in expanded form? A }} }} B }} C }} 1 }}} 1, }} }} }}} 1,000 2 D , , }} STOP Book 2 31

34 Book 3 Answer questions 63 through Paul drives from his house to work every morning. The amount of time it took him to reach his office each day last week is listed below. Day Monday Tuesday Wednesday Thursday Friday Time Taken 1 h 40 min 80 min 90 min 1 h 20 min 110 min Part A On which two days did it take Paul the same amount of time to reach his office? Show your work. Answer 32 Book 3

35 Part B What is the difference between the longest and shortest time it took Paul to reach his office? Express your answer as a fraction of an hour. Show your work. Answer hour Part C What was the total amount of time that Paul spent driving from home to his office? Express your answer in hours and minutes. Show your work. Answer Go On Book 3 33

36 64 John bought a rectangular door mat that was 1 } 2 meter long and 3 }} meter wide. 10 Part A Draw a visual model to show the area of the mat. Part B What is the area of the door mat? Answer square meters 34 Book 3

37 65 All rectangles have two pairs of parallel sides. All squares are rectangles with four congruent sides. Part A Do all squares have two pairs of parallel sides? Explain your answer. Part B Do all rectangles have four congruent sides? Explain your answer. Go On Book 3 35

38 66 At track practice, Sheila worked on the long jump. Her first jump measured 3 yards, 2 feet, 8 inches. Her second jump measured 2 yards, 1 foot, 10 inches. Part A How much longer was Sheila s first jump than her second jump? Express your answer in inches. Show your work. Answer inches Part B What was the total distance of Sheila s two jumps? Express your answer in feet. Show your work. Answer feet Part C As of the 2012 Summer Olympics, the world record for women s long jump is 24 feet, 8 inches. How much longer is the world record than Sheila s first jump? Express your answer in yards. Show your work. Answer yards 36 Book 3

39 67 Ivan has just opened a small coffee shop. He paid a copy store $0.10 per copy to make 1,428 copies of the flyer to announce the opening of the shop. Ivan is having 14 of his friends distribute all of the flyers, and he is paying them $0.25 for each flyer they distribute. He gave each friend the same number of flyers. Part A What is the total amount Ivan is paying each friend to distribute his or her share of the flyers? Show your work. Answer $ Part B What is the total cost for making all of the copies and paying all of his friends? Show your work. Answer $ Go On Book 3 37

40 68 Amy had homework for math, science, and history. She spent 1 } and 1 } 4 of her time working on science. 3 of her time working on math Part A Amy estimated that she spent } 1 of her time on both math and science homework. Without 7 doing any calculations, determine whether or not Amy s estimate is accurate and explain why or why not. Part B How much of her time did Amy spend working on history? Show your work. Answer 38 Book 3

41 69 Miranda made 6.88 pounds of trail mix. She divided the trail mix into servings that each had 0.8 pounds. Part A Set up an expression using long division that could be used to find the number of servings of trail mix that Miranda prepared. Show the proper placement of decimal points in the expression. Part B How many servings of trail mix did Miranda make? Show your work above. Answer Go On Book 3 39

42 70 Ms. Whittier created a math game for her students. Points are awarded for correctly performing the task written on an index card. Part A The card Sherry picked read the following: Write an expression to represent add five plus seven and then divide by 3. Write an expression that Sherry might have written. Answer Part B Lamont s card read the following: Without doing a calculation, how many times greater is 6 3 (43, ,782) than 43, ,782? What is Lamont s correct answer? Answer 40 Book 3

43 71 Luke got invited to both Jacob s and Jackson s birthday parties that are on the same day. Jacob s parents are going to order 30 chicken wings for every 3 kids to share equally. Jackson s parents are going to order 45 chicken wings for every 5 kids to share equally. Part A How many wings will Luke get at Jacob s party? Show your work. Answer Part B How many wings will Luke get at Jackson s party? Show your work. Answer Part C Luke can attend only one birthday party. If Luke wants to get the greater number of wings, whose party should he go to? Explain. Go On Book 3 41

44 72 An architect was designing a rectangular room with a length of 16 feet, a width of 14 feet, and a height of 10 feet. Part A What is the volume of the room? Show your work. Answer cubic feet Part B The architect changed his design and added 2 feet to each dimension of the room. How much greater is the volume of the room in his new design? Show your work. Answer STOP 42 Book 3

45 Name Teacher School Ready New York CCLS Mathematics Practice, Grade 5 Answer Form City Grade Book 1 Book 2 Book 3 Cut along the dotted line. 1. A B C D 2. A B C D 3. A B C D 4. A B C D 5. A B C D 6. A B C D 7. A B C D 8. A B C D 9. A B C D 10. A B C D 11. A B C D 12. A B C D 13. A B C D 14. A B C D 15. A B C D 16. A B C D 17. A B C D 18. A B C D 19. A B C D 20. A B C D 21. A B C D 22. A B C D 23. A B C D 24. A B C D 25. A B C D 26. A B C D 27. A B C D 28. A B C D 29. A B C D 30. A B C D 31. A B C D 32. A B C D 33. A B C D 34. A B C D 35. A B C D 36. A B C D 37. A B C D 38. A B C D 39. A B C D 40. A B C D 41. A B C D 42. A B C D 43. A B C D 44. A B C D 45. A B C D 46. A B C D 47. A B C D 48. A B C D 49. A B C D 50. A B C D 51. A B C D 52. A B C D 53. A B C D 54. A B C D 55. A B C D 56. A B C D 57. A B C D 58. A B C D 59. A B C D 60. A B C D 61. A B C D 62. A B C D For questions 63 through 72, write your answers in the book. 63. See page See page See page See page See page See page See page See page See page See page

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