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FCAT Mathematics Sample Items for Grade 5 All questions are from the FCAT Mathematics Item Specification for Grades 3 - 5 Table of Content Strand A Slides 3 - 16 Strand B Slides 17 - 22 Strand C Slides 23 - 31 Strand D Slides 32 - 39 Strand E Slides 40 - 53 1) Amy observed some animals and made a chart to understands the compare their speeds. relative size of whole numbers, commonly used fractions, decimals, and percents. Grades 3–4 MC Grade 5 MC, GR According to the chart, which animal was the fastest? 2) Six students ran in the 100-meter race at the City understands the Olympics. Their times are shown in the table below. What relative size of time listed in the table has the least value? whole numbers, commonly used fractions, decimals, and percents. 2 0 67 Grades 3–4 MC Grade 5 MC, GR 3) Land covers 1/4 of Earth’s surface. The remaining 3/4 is understands that covered by water. numbers can be represented in a variety of equivalent forms using whole numbers, decimals, fractions, and percents. Which value below represents the amount of Earth’s surface covered by water? (Also assesses A.1.2.1 and A.1.2.3) Grades 3–4 MC Grade 5 MC, GR 4) One bicycle rack at school has enough slots to hold 10 uses place-value bicycles. Today 7/10 of the bicycle rack is being used. What concepts of percent of the bicycle rack is being used today? grouping based upon powers of ten (thousandths, hundredths, tenths, ones, tens, hundreds, thousands) within the decimal number system. 7 0 Grades 3–4 MC Grade 5 MC, GR 5) A bolt of lightning can travel at a speed of 334,800,000 understands and miles per hour. What is the value of the 4 in the number explains the effects 334,800,000 ? of addition, subtraction, and multiplication on whole numbers, decimals, and fractions, including mixed numbers, and the effects of division on whole numbers, including the inverse relationship of multiplication and division. MC 5) A bolt of lightning can travel at a speed of 334,800,000 understands and miles per hour. What is the value of the 4 in the number explains the effects 334,800,000 ? of addition, subtraction, and multiplication on whole numbers, decimals, and fractions, including mixed numbers, and the effects of division on whole numbers, including the inverse relationship of multiplication and division. MC selects the appropriate 7) The 20 students in Mrs. Meyer’s class collected books operation to for a book exchange. Each student collected 3 books, and solve specific Mrs. Meyer collected 10 books. Which expression could be problems involving used to find the total number of books collected? addition, subtraction, and multiplication of whole numbers, decimals, and fractions, and division of whole numbers. MC adds, subtracts, and 8) Dentists tell us we should brush our teeth 2 times a multiplies whole day for 3 minutes each time. How many minutes will you numbers, decimals, brush your teeth if you do this for 5 days? and fractions, including mixed numbers, and divides whole numbers to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator. Grades 3–4 MC Grade 5 MC, GR adds, subtracts, and 9) Robert’s father filled the tank of the car with 18 gallons multiplies whole of gasoline. The gasoline cost $1.90 per gallon, including numbers, decimals, tax. How much did it cost to fill the tank? and fractions, including mixed numbers, and divides whole numbers to solve real-world problems, using 3 4 20 appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator. Grades 3–4 MC Grade 5 MC, GR 10) The Martin family moved into a new house and wanted to plant grass seed in their backyard. They uses and justifies measured 2 sides of the backyard and drew the figure different estimation below. strategies in a real- world problem situation and determines the reasonableness of results of calculations in a given problem situation. (Also assesses B.3.2.1) Grades 3–4 MC Grade 5 SR Estimate the 4 measurements, A, B, C and D that are missing on the figure and then use those measurements to uses and justifies find the total area, in square feet, of the Martins’ backyard. different estimation Explain mathematically how you determined your answer. strategies in a real- world problem situation and determines the reasonableness of results of calculations in a given problem situation. (Also assesses B.3.2.1) Grades 3–4 MC Grade 5 SR A top-score response would correctly estimate the length of uses and justifies the missing sides and the correct area of the Martins’ different estimation backyard. strategies in a real- world problem situation and determines the reasonableness of results of calculations in a given problem situation. (Also assesses B.3.2.1) Grades 3–4 MC Grade 5 SR Continued uses and justifies different estimation strategies in a real- world problem situation and determines the reasonableness of results of calculations in a given problem situation. (Also assesses B.3.2.1) Grades 3–4 MC Grade 5 SR 11) Jack wants to give an equal number of marbles to each of his 4 friends. At the toy store he sees several bags of marbles, as shown below. Which bag of marbles understands and should Jack buy so that he can give each of his 4 friends applies basic an equal number of marbles with none left over? number theory concepts, including primes, composites, factors, and multiples. MC 12) Jenna watched someone diving. The diver’s body made these angles during the different parts of the dive. solves real-world Which number labels the picture of the diver’s body problems forming an acute angle? involving length, weight, perimeter, area, capacity, volume, time, temperature, and angles. Grades 3–4 MC Grade 5 MC, GR 13) For outdoor concerts, Mr. Shannon’s class built a square stage floor. The top view of the stage floor is shown solves real-world below. The area of the stage floor is 400 square feet. What problems is the length, in feet, of the stage floor? involving length, weight, perimeter, area, capacity, volume, time, temperature, and angles. 20 Grades 3–4 MC Grade 5 MC, GR 14) Deon placed a 4-pound weight on one side of a balance scale. Then he placed 32 pieces of candy on the uses direct other side of the scale to make it balance. Each piece of (measured) and candy is the same weight. indirect (not measured) measures to calculate and compare measurable characteristics. Grades 3–4 MC How much does one piece of candy weigh? Grade 5 MC, GR 15) A solar or tropical year is 365 days, 5 hours, 48 minutes and 46 seconds. How many seconds are there in uses direct 48 minutes? (measured) and indirect (not measured) measures to calculate and compare measurable characteristics. 28 8 0 Grades 3–4 MC Grade 5 MC, GR 16) The height of the Eiffel Tower in Paris, France, is 328 yards. Due to erosion, the Great Pyramid of Giza, Egypt, uses direct is now only 450 feet high. How many yards higher is the (measured) and Eiffel Tower than the Great Pyramid of Giza? indirect (not measured) measures to calculate and compare measurable characteristics. 17 8 Grades 3–4 MC Grade 5 MC, GR 17) Which of these measurements best describes the actual distance between Orlando, Florida and Miami, Florida? selects and uses appropriate standard and nonstandard units of measurement, according to type and size. (Also assesses B.4.2.1) MC 18) In art class, Sasha drew the rectangular prism pictured below. given a verbal description, draws and/or models two- and three-dimensional shapes and uses appropriate geometric vocabulary to write a description of a figure or a picture composed of geometric figures. Which of the following does line segment EF represent in the rectangular prism? MC 19) Which pair of triangles below appears to be a pair understands the of similar triangles? concepts of spatial relationships, symmetry, reflections, congruency, and similarity. (Also assesses B.1.2.1, B.1.2.2, C.1.2.1, and C.3.2.1) Grades 3–4 MC Grade 5 MC, ER 20) Mr. Gomez is a shopping mall manager. The shopping mall where he works is divided into sections. The mall floor plan below shows the location of 2 understands the stores, the restrooms, and the fountain in the shopping concepts of spatial mall. relationships, symmetry, reflections, congruency, and similarity. (Also assesses B.1.2.1, B.1.2.2, C.1.2.1, and C.3.2.1) Grades 3–4 MC Grade 5 MC, ER understands the concepts of spatial relationships, symmetry, reflections, congruency, and similarity. (Also assesses B.1.2.1, B.1.2.2, C.1.2.1, and C.3.2.1) Grades 3–4 MC Grade 5 MC, ER understands the concepts of spatial relationships, symmetry, reflections, congruency, and similarity. (Also assesses B.1.2.1, B.1.2.2, C.1.2.1, and C.3.2.1) Grades 3–4 MC Grade 5 MC, ER understands the concepts of spatial relationships, symmetry, reflections, congruency, and similarity. (Also assesses B.1.2.1, B.1.2.2, C.1.2.1, and C.3.2.1) Grades 3–4 MC Grade 5 MC, ER 21) Jim reflected the figure below over the dashed line predicts, illustrates, and then rotated it 90° clockwise around its center. and verifies which figures could result from a flip (reflection), slide (translation), or turn (rotation) of a given Which of the following shows the figure after the reflection figure. and 90° clockwise rotation? MC 22) Raylene plotted points A and B on the coordinate grid below. If she plots 2 more points, she can connect the points to create a square. What will be the area of her completed represents and applies square? a variety of strategies and geometric properties and formulas for two- and three-dimensional shapes to solve real-world and mathematical problems. (Also assesses C.2.2.1 and C.3.2.2) Grades 3–4 MC Grade 5 MC, SR 23) Marcia drew the map below. She included the library, the park, and her school. identifies and plots positive ordered pairs (whole numbers) in a rectangular coordinate system (graph). MC If her house is located halfway between the library and the park, which ordered pair would best describe the location of her house? 24) Olga is ordering pencils for her classmates. Each box of pencils costs 2 dollars. There is an additional shipping cost of 3 dollars per order. describes a wide variety of patterns and relationships through models, such as manipulatives, tables, graphs, rules using algebraic symbols. What is the total price, in dollars, for an order of 15 boxes of (Also assesses pencils? D.1.2.2) Grades 3–4 MC Grade 5 MC, GR 25) Hallie is making a design with square tiles. The first design has 6 white tiles in the center and 4 gray legs. As describes a wide shown in the pictures below, the legs of each new design variety of patterns have more gray tiles than the legs of the design before. and relationships through models, such as manipulatives, tables, graphs, rules using algebraic symbols. (Also assesses D.1.2.2) Grades 3–4 MC Grade 5 MC, GR According to the pattern, how many tiles will Hallie use all together to make a design that has 5 tiles in each leg? describes a wide variety of patterns and relationships through models, such as manipulatives, tables, graphs, rules using algebraic symbols. 26 (Also assesses D.1.2.2) Grades 3–4 MC Grade 5 MC, GR 26) generalizes a pattern, relation, or function to explain how a change in one quantity results in a change in another. (Also assesses D.1.2.1) Grades 3–4 (Not assessed) Grade 5 SR generalizes a pattern, relation, or function to explain how a change in one quantity results in a change in another. (Also assesses D.1.2.1) Grades 3–4 (Not assessed) Grade 5 SR 27) Let n represent the number of papers Mrs. Zapata graded represents a given Mr. Goldberg graded 2 times the number of papers Mrs. simple problem Zapata graded, plus 15 papers from his after-school program. situation using Which expression could be used to find the number of papers diagrams, models, and Mr. Goldberg graded? symbolic expressions translated from verbal phrases, or verbal phrases translated from symbolic expressions, etc. (Also assesses D.2.2.2) MC 28) Look at the two inequalities below. uses informal methods, such as Which of the number lines below shows a graph of all the physical models and whole numbers that h could represent to make both graphs, to solve real- inequalities true statements? world problems involving equations and inequalities. (Also assesses D.2.2.1) Grades 3–4 MC Grade 5 MC, GR 29) Dwayne’s fifth grade class bought 35 key lime pies to sell at the school’s fair this year. If Dwayne’s class had bought 1 more pie, the number of pies this year would have been twice the number of pies sold last year. Let p represent uses informal the number of pies sold last year. What is the value of p in methods, such as the equation below? physical models and graphs, to solve real- world problems involving equations and inequalities. 18 (Also assesses D.2.2.1) Grades 3–4 MC Grade 5 MC, GR 30) The chart below shows 3 types of drinks and the number of gallons of each type of drink purchased in a school cafeteria last week. solves problems by generating, collecting, organizing, displaying, and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs, and charts. (Also assesses E.1.2.3) Grades 3–4 MC Which graph displays this information correctly? Grade 5 MC, GR, ER Which graph displays this information correctly? solves problems by generating, collecting, organizing, displaying, and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs, and charts. (Also assesses E.1.2.3) Grades 3–4 MC Grade 5 MC, GR, ER 31) Greta asked Mrs. Simpson’s fifth grade students to choose their favorite cafeteria lunches. The results are shown below. solves problems by generating, collecting, organizing, displaying, and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs, and charts. (Also assesses E.1.2.3) Grades 3–4 MC Grade 5 MC, GR, ER Count the number of students who prefer each type of lunch and write the numbers in the chart below. solves problems by generating, collecting, organizing, displaying, and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs, and charts. (Also assesses E.1.2.3) On the grid, make a bar graph showing the number of students who prefer each type of lunch. Grades 3–4 MC Grade 5 MC, GR, ER Be sure to include: a title labels for the axes; appropriate and consistent scales all the data solves problems by generating, collecting, organizing, displaying, and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs, and charts. (Also assesses E.1.2.3) Grades 3–4 MC Grade 5 MC, GR, ER A top-score response includes a correctly constructed bar solves problems by graph and two statements of comparison, including generating, collecting, organizing, displaying, A valid bar graph similar to one of the two examples shown and analyzing data below; using histograms, bar graphs, circle graphs, line graphs, pictographs, and charts. (Also assesses E.1.2.3) Grades 3–4 MC Grade 5 MC, GR, ER solves problems by generating, collecting, organizing, displaying, and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs, and charts. (Also assesses E.1.2.3) Grades 3–4 MC Grade 5 MC, GR, ER 32) At a school dance, the disc jockey asked 40 students to choose the type of music they wanted to hear. The circle graph below shows the percent of students who chose each solves problems by type of music. generating, collecting, organizing, displaying, According to the graph, how many of the 40 students and analyzing data chose jazz? using histograms, bar graphs, circle graphs, line graphs, pictographs, and charts. 12 (Also assesses E.1.2.3) Grades 3–4 MC Grade 5 MC, GR, ER 33) Mrs. Terry posted the scores from this week’s science quiz on the board as shown below. determines range, mean, median, and mode from sets of data. (Also assesses E.1.2.3) Grades 3–4 MC What is the range of the scores shown in the stem-and-leaf plot? Grade 5 MC, GR 34) The chart below shows the names of seven kinds of cloud formations. It also shows some of their recorded distances above Earth. What is the median distance above determines range, Earth, in miles, of the cloud formations listed in the chart mean, median, and above? mode from sets of data. (Also assesses E.1.2.3) 4 Grades 3–4 MC Grade 5 MC, GR 35) Krista (K), Juan (J), and Rosie (R) will compete against each other in the 50-yard dash. After the race, they will each uses models, such as be awarded one of the ribbons shown below. tree diagrams, to display possible outcomes and to predict events. In the space below, list all the different ways these 3 Grades 3–4 MC students could place first, second, or third in the race. You Grade 5 SR may use the first letter of each student’s name in your list (for example, K, J, R). What is the total number of ways these 3 students could place in the race? ___________ uses models, such as tree diagrams, to display possible outcomes and to predict events. Grades 3–4 MC Grade 5 SR 36) At the cookie sale, Marc bought 3 sugar, 8 oatmeal, 5 predicts the likelihood peanut butter, and 4 chocolate chip cookies that were all the of simple events same size and shape. All the cookies were placed in one bag. occurring. Since Marc’s friend likes all of the cookies, he will choose 1 cookie from the bag without looking. What is the probability that Marc’s friend will choose a chocolate chip cookie? MC 37) Dean is collecting data on his classmates’ favorite and least favorite cafeteria foods. He plans to present his results designs experiments to to the cafeteria manager. Which of the following is the best answer class or survey for Dean to use to collect his data? personal questions, collects information, and interprets the results using statistics (range, mean, median, and mode) and pictographs, charts, bar graphs, circle graphs, and line graphs. (Also assesses E.3.2.2) Grades 3–4 (Not assessed) Grade 5 MC

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posted: | 11/24/2011 |

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