Name: Mathematics Grade This booklet contains mathematics questions for you to answer There are two types of questions in this booklet For the multiple-choice questions, you will be given four answer choices—A, B, C, and D You are to choose the correct answer from the four choices Each question has only one right answer The written-response questions require you to give a written response to a question as indicated in the booklet You will be given a separate sheet of paper to answer these questions You may use the checklist below to help you a good job when you are answering the written-response questions 4th Grade Written-Response Checklist Did I think about the question (and/or directions) that I read? Yes No Did I use the words in bold print in the question to give me information? Yes No Did I show all my work and include each step needed to complete the problem? Yes No If I used a diagram, did I label each part of the diagram clearly? Yes No Yes No Did I answer all parts of the question? Copyright © 2009 by the Nevada Department of Education Page Grade Mathematics ■ Instructional Materials ■ Look at the number sentence below 24 ÷ = 12 Paintings in an Art Museum Which number makes the number sentence true? ■ 2 12 36 Number of Paintings A B C D What is the expanded form of 628,097 ? A B C D Tricia made the bar graph below to show the number of paintings in each of rooms at an art museum 60,000 + 2,000 + 800 + 90 + 60,000 + 20,000 + 8,000 + 90 + 600,000 + 20,000 + 8,000 + 90 + 600,000 + 20,000 + 8,000 + 900 + 38 36 34 32 30 28 26 24 22 20 North South East West Room Based on Tricia’s bar graph, how many paintings are in the East room at the museum? A B C D ■ 26 paintings 27 paintings 32 paintings 36 paintings Darryl kicked a ball 2500 centimeters How many meters did Darryl kick the ball? (1 meter = 100 centimeters) A B C D 25 meters 250 meters 25000 meters 250000 meters Go On Copyright © 2009 by the Nevada Department of Education Page Grade Mathematics ■ Instructional Materials ■ Which figure shows ray EG ? A E The pictograph below shows the number of printers on each floor of an office Office Printers Floor G B C D ■6 ■ 1st 2nd E G 3rd 4th E G E G 5th Key = printers How many printers are on the 4th floor of the office? Celeste plans to watch a movie in the afternoon Which of these is most likely the time an afternoon movie begins? A B C D A B C D 2:00 A.M 9:00 A.M 2:00 P.M 9:00 P.M ■ There are 60 students who will travel in cars to see a play Each car can carry 4–6 students Which of these is the best ESTIMATE of the number of cars needed to carry the 60 students? A B C D Number of Printers printers printers printers printers Which number is three hundred twenty thousand four hundred sixty-eight? A B C D 32,068 32,468 320,468 324,068 1–5 cars 10–15 cars 50–55 cars 60–65 cars Go On Copyright © 2009 by the Nevada Department of Education Page Grade Mathematics ■ 10 Instructional Materials ■ The pattern below follows a rule 13 16 19 22 12 25 Which pattern follows the same rule? A B C D ■ 11 plus is greater than 12 Which word(s) should replace the blank to make the number sentence true? 27 8 11 23 27 32 36 40 37 34 31 A B C D A bus travels a distance of 138 miles in hours The bus travels the same distance each hour Exactly how many miles does the bus travel in hour? A B C D Look at the number sentence below ■ 13 46 miles 69 miles 137 miles 414 miles plus times minus divided by Which number is greater than 19,874 ? A B C D 18,999 19,881 19,629 18,875 Go On Copyright © 2009 by the Nevada Department of Education Page Grade Mathematics ■ 14 Instructional Materials Camden sorted some shapes into the two groups shown below Group Group Which statement best describes how Camden sorted the shapes? A B C D He put shapes with or more edges into group He put shapes with or more vertices into group He put shapes with more than edges into group He put shapes with more than vertices into group Go On Copyright © 2009 by the Nevada Department of Education Page Grade Mathematics Instructional Materials Write your answer to Question 15 on a separate sheet of paper Be sure to answer Parts A and B ■ 15 Table and table are shown below Table shows the number of balls, games, and puzzles that a toy store had for sale at the beginning of one week Table shows the number of balls, games, and puzzles that were sold at the toy store during the week Toys for Sale at the Beginning of the Week Toy Toys Sold During the Week Total Number for Sale Toy Total Number Sold Balls 10 Balls Games 21 Games 10 Puzzles 13 Puzzles 13 Table Table A Find the number of balls, the number of games, and the number of puzzles the toy store has remaining at the end of the week Show your work and label your answers B Predict which type of toy (ball, game, or puzzle) is most likely to be sold to the next customer at the toy store Use the information in the tables and your work from Part A to support your prediction Go On Copyright © 2009 by the Nevada Department of Education Page Grade Mathematics ■ 16 Instructional Materials ■ A fraction of each of the two circles shown below is shaded 17 Point S is shown on the coordinate grid below y 10 Which number sentence correctly compares the fractions of the circles that are shaded? A > 8 B < 8 C > 5 D < 5 S 10 x What ordered pair describes the location of point S ? A B C D (5, 8) (6, 8) (8, 5) (8, 6) Go On Copyright © 2009 by the Nevada Department of Education Page Grade Mathematics ■ 18 Instructional Materials Use a ruler to measure the height of the bottle of glue pictured below What is the height of the bottle of glue in inches (in)? A in B in C in D in Go On Copyright © 2009 by the Nevada Department of Education Page Grade Mathematics ■ 19 ■ ■ Divide: 21 108 ÷ A B C D 20 Instructional Materials The frequency table below shows the heights of all the students at an elementary school The heights are rounded to the nearest inch 8 11 12 Heights of Students A rectangular poster has a perimeter of 250 centimeters (cm) The length of the poster is 75 cm, as shown below 75 cm Number of Students 48–50 55 51–53 128 54–56 110 57–59 26 Based on the frequency table, how many students at the elementary school have a height of 54 to 56 inches? ? A B C D What is the width of the poster? A B C D Height (inches) 50 cm 100 cm 125 cm 175 cm ■ 22 49 students 55 students 110 students 136 students Add: $314.87 + $29.17 A B C D $333.94 $344.04 $505.57 $606.57 Go On Copyright © 2009 by the Nevada Department of Education Page Grade Mathematics ■ 23 Instructional Materials ■ Look at the number pattern below 1,024 256 64 16 26 Four students sold tickets to the school play The frequency table below shows the number of tickets each student sold Tickets Sold What number is missing from the pattern? A B C D 12 48 Student Number of Tickets Sold Karen Tyler ■ 24 Riley Marla buys boxes of tea bags Each box contains 18 tea bags Which number sentence could Marla use to find the total number of tea bags in the boxes? Carmen Based on the frequency table, which statement about the number of tickets sold is true? A + 18 = B 18 – = A B C D C × 18 = D 18 ÷ = ■ 25 Carmen sold the fewest tickets The total number of tickets sold is 18 The total number of tickets sold is 90 Karen sold more tickets than both Tyler and Riley sold Bob works 27 hours every week Karen works 39 hours every week What is the total number of hours Bob and Karen will both work in weeks? A B C D 48 hours 66 hours 70 hours 264 hours Go On Copyright © 2009 by the Nevada Department of Education Page 10 Grade Mathematics Instructional Materials Write your answer to Question 27 on a separate sheet of paper Be sure to answer Parts A and B ■ 27 The box shown in the picture below is full of basketballs An after-school basketball program uses all of the balls during practice A ESTIMATE the number of basketballs in the box Show how you used ESTIMATION to get your answer B The students in the basketball program are divided into groups of players to practice passing Each group uses basketballs All of the basketballs in the box are used at the same time Based on your answer to Part A, ESTIMATE the number of students in the after-school basketball program Show or describe how you used ESTIMATION to find your answer Go On Copyright © 2009 by the Nevada Department of Education Page 11 Grade Mathematics ■ 28 13 Instructional Materials ■ The ages of children in a soccer club are listed below 12 11 13 10 13 11 11 29 A B C D Soccer Club ■ 30 10 11 12 13 14 15 Soccer Club ■ 31 48 49 56 64 What is 2,551 rounded to the nearest hundred? A B C D Age (years) B 7×8 12 Which line plot best represents this information? A Multiply: 3,000 2,600 2,550 2,500 Two squares are shown below 10 11 12 13 14 15 Age (years) Soccer Club C Which statement about the two squares is true? 10 11 12 13 14 15 A The squares are congruent and similar B The squares are similar but not congruent C One square is a translation (slide) of the other square D One square is a reflection (flip) of the other square Age (years) Soccer Club D 10 11 12 13 14 15 Age (years) Go On Copyright © 2009 by the Nevada Department of Education Page 12 Grade Mathematics ■ 32 Instructional Materials Keisha asked some students to name their favorite type of movie The results are listed below • 60 students chose drama • 45 students chose comedy • 10 more students chose action than chose comedy • 20 fewer students chose sports than chose drama Which bar graph best represents the information in the list? or ts n Sp io ct A m Co n io or ts Sp Co m D m ed y 70 60 50 40 30 20 10 a Number of Students or ts Sp n io A ct ed y m a Co D m ed m D Favorite Type of Movie D 70 60 50 40 30 20 10 Type of Movie y a Number of Students ts n or Type of Movie Favorite Type of Movie B 70 60 50 40 30 20 10 Sp ct io y A m Co D ed m a Number of Students 70 60 50 40 30 20 10 Type of Movie Number of Students Favorite Type of Movie C A ct Favorite Type of Movie A Type of Movie Go On Copyright © 2009 by the Nevada Department of Education Page 13 Grade Mathematics ■ 33 Instructional Materials ■ Adam bought the three items listed below 36 • a calendar for $6.45 • a pen for $1.89 • a notebook for $2.30 2,413 34 ■ A B C D $8.57 $9.54 $10.54 $10.64 ■ 37 A number sentence is shown below 19 – 2,518 2,623 ■ 35 Look at the rectangle below feet =8 feet 11 19 27 What is the area of the rectangle? Last month, 218 boys and 231 girls went on a field trip Which is the best ESTIMATE of the total number of children who went on the field trip? A B C D 2,833 2,838 2,843 2,938 2,933 What number makes the number sentence true? A B C D 2,728 The pattern continues What is the next number in the pattern? What is the total amount of money Adam spent for the three items? A B C D Look at the number pattern below A B C D square feet 17 square feet 34 square feet 72 square feet between 410 and 430 children between 440 and 460 children between 470 and 490 children between 500 and 520 children Go On Copyright © 2009 by the Nevada Department of Education Page 14 Grade Mathematics Instructional Materials Write your answer to Question 38 on a separate sheet of paper Be sure to answer Parts A and B ■ 38 Mike is making a pie for a party The schedule below shows the number of minutes Mike needs to prepare the pie, bake the pie, and cool the pie Mike can serve the pie after it has cooled Mike will serve the pie at 7:00 P.M Copy the schedule below into your Answer Document Schedule for Making Pie Action Number of Minutes Prepare 30 Bake 60 Cool 15 Start Time End Time 6:45 P.M 6:45 P.M 7:00 P.M A Complete the schedule to show the missing start times and end time Show your work or explain your thinking B Mike decides to also make cookies for the party • Mike needs 45 minutes to prepare the cookies • Mike needs 15 minutes to bake the cookies • Mike does not need to cool the cookies • Mike cannot prepare the cookies and prepare the pie at the same time Based on this information, explain how Mike can schedule his cooking so the cookies and the pie are both ready to serve at 7:00 P.M Go On Copyright © 2009 by the Nevada Department of Education Page 15 Grade Mathematics ■ 39 Instructional Materials ■ A picture of a cube is shown below 42 The line plot below shows the amount of time, rounded to the nearest hour, that students spent playing sports during a weekend Time Spent Playing Sports Exactly how many edges does the cube have? A B C D edges edges edges 12 edges Number of Hours Key = student ■ 40 Multiply: $12.95 × A B C D ■ 41 Based on the line plot, what number of hours of sports was played by the least number of students? A B C D $ 103.60 $96.20 $86.20 $83.60 hours hours hours hours A breakfast club sold 383 pancakes What is 383 rounded to the nearest ten? A B C D 350 380 390 400 Go On Copyright © 2009 by the Nevada Department of Education Page 16 Grade Mathematics ■ 43 Instructional Materials ■ Look at the number sentence below 45 The picture below is shaded to model a fraction > 15 + 25 Which symbol makes the number sentence true? A B C D + – × ÷ Which rectangle is shaded to model the same fraction? ■ 44 A farmer puts apples into boxes He puts pounds of apples into each box The farmer sells all the apples for $3.25 per pound What is the total amount of money the farmer earns by selling all the apples? A B C D A $23.00 $24.25 $24.60 $26.00 B C D Go On Copyright © 2009 by the Nevada Department of Education Page 17 Grade Mathematics ■ 46 Instructional Materials ■ A number is shown below 48 2,308,457 A B C D Which digit is in the ten-thousands place? A B C D ■ 49 ■ 47 Anna mailed a letter in an envelope Which is the best ESTIMATE of the length of the envelope? An angle is shown below Maria’s dance class lasts for hour 30 minutes Her dance class ends at 3:15 P.M At what time does Maria’s dance class begin? A B C D What type of angle is shown? A B C D ■ 50 acute obtuse right straight centimeters 20 centimeters 200 centimeters 2000 centimeters 1:45 P.M 2:15 P.M 4:15 P.M 4:45 P.M Look at the number sentence below 76 – 27 = + 35 What number makes the number sentence true? A B C D 14 62 84 Go On Copyright © 2009 by the Nevada Department of Education Page 18 Grade Mathematics Instructional Materials You may want to go back and check your answers or answer questions you did not complete Copyright © 2009 by the Nevada Department of Education Page 19 ... 22 49 students 55 students 110 students 136 students Add: $3 14. 87 + $29.17 A B C D $333. 94 $ 344 . 04 $505.57 $606.57 Go On Copyright © 2 009 by the Nevada Department of Education Page Grade Mathematics... square feet 34 square feet 72 square feet between 41 0 and 43 0 children between 44 0 and 46 0 children between 47 0 and 49 0 children between 500 and 520 children Go On Copyright © 2 009 by the Nevada Department... $23.00 $ 24. 25 $ 24. 60 $26.00 B C D Go On Copyright © 2 009 by the Nevada Department of Education Page 17 Grade Mathematics ■ 46 Instructional Materials ■ A number is shown below 48 2,308 ,45 7 A B