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PART II Released Mathematics Items CALCULATOR NOT PERMITTED — ITEMS 1–8 Use the figure below to answer question Use the graph below to answer question AR4M03G107Y072-072C AR4M03G201Y036-036D Caleb wants to help his dad build a walkway to his front door using square tiles If each tile is square foot, how many tiles will Caleb and his dad need? Ms Sutton drew the rhombus above on the board She asked her students to describe the shape Which of the following is a correct description of the shape? A B even sides; right angles; sets of parallel lines even sides; acute angles; obtuse angles; sets of parallel lines D even sides; acute angles; obtuse angles; set of parallel lines B 12 C 24 * D 27 AR4M03P102NXXX-139D Laura kept track of the growth of her ivy plant It was inches long when she planted it, and it grew about inches each week About how many inches long was it by the end of the fourth week? AR4M03M102NXXX-0045B Which of the following units would you use to measure the weight of a penny? * B uneven sides; acute angles; obtuse angles; sets of parallel lines * C A A tons grams C pounds D kilograms A B 10 C 12 * D 14 PART II Released Mathematics Items Use the figures below to answer question Use the chart below to answer question AR4M03G204Y095-095C AR4M03D102Y039-039C Mr Joyner asked his students to construct 3-D shapes using construction paper and tape Which of the following shapes could Marlene make from the three shapes above? A cone B cube * C D Mr Kimble asked his students to choose their favorite sport How many students did not choose soccer? cylinder A rectangular prism B * C 11 D 18 AR4M03N103NXXX-019C The bicycle repair person told Jon that it would cost about $60.00 to fix his bike If the repair person rounded the bill to the nearest ten dollars, which of the following could have been the actual amount? A $49.95 B $52.60 * C $58.45 D $65.80 AR4M03M103NXXX-114A Malek jumped a distance of feet on his dirt bike How many yards did he jump? * A B C D PART II Released Mathematics Items CALCULATOR PERMITTED — ITEMS 9–40 Use the calendar below to answer question Use the picture below to answer question 11 AR4M03P102Y097-097B AR4M03G201Y037-037C 11 What is the perimeter of the swimming pool, in meters? The calendar above shows that John cleans his hamster’s cage every days and his gerbil’s cage every days If this pattern continues, how many times during the month of July will he clean both cages on the same day? A * B C D feet from Jomarie’s desk to the classroom door How far is that in inches? B 72 inches * C 78 inches D 84 inches B 85 * C 90 D 110 12 Randy counted 5,624 tickets sold for the school carnival What is this number rounded to the nearest hundred? 10 It is exactly 62 inches 80 AR4M03N103NXXX-015B AR4M03M103NXXX-136C A A A 5,000 * B 5,600 C 5,700 D 6,000 PART II Released Mathematics Items Use the figure below to answer question 13 Use the chart below to answer question 15 AR4M03G105Y073-073B AR4M03D302NXXX-142B Tom’s Math Test Scores 88 97 75 85 71 75 90 13 Ward made the above design with pattern blocks If he makes a congruent design with triangular pattern blocks, how many triangles will he use? (You may use your pattern blocks to help you.) 15 What is the mean (average) of Tom’s math test scores? A 75 A * B 83 * B C 85 C D 97 D AR4M03P105NXXX-052B 16 Melissa’s sandbox is feet wide and feet long Which of the following number sentences would she use to find its area? Use the figures below to answer question 14 AR4M03N205Y038-038C 14 Stanley’s mom made sandwiches for his lunch She cut each into pieces Stanley ate only the shaded portions What fraction of the sandwiches did he eat? A B * C 1 D 1 A 6+4=n * B 6×4=n C 4+4+6+6 =n D (4 × 4) + (6 × 6) = n AR4M03M301NXXX-046C 17 Mr Barnhill has the temperature in his house set to a comfortable level—not too hot, not too cold What temperature would the thermometer show? A 25°F B 45°F * C 72°F D 99°F PART II Released Mathematics Items Use the pictures below to answer question 18 AR4M03P101Y096-096A 18 What rule was used for sorting the objects above? * A C Group A: objects without angles Group B: objects with angles B Group A: objects that are foods Group B: objects with angles Group A: objects that are balls Group B: objects with angles D Group A: objects that are round Group B: objects that are triangular AR4M03D301NXXX-121D 20 Karen’s crayon box contains shades of green, shades of blue, shades of red, and shades of brown If she picks a crayon from the box without looking, which shade is she least likely to pick? Use the picture below to answer question 19 AR4M03M102Y137-137D 19 Which weight would be the best choice for Latoya to use to weigh her science book? A red B blue C green * D A one ton B one gram C one ounce * D one kilogram brown PART II Released Mathematics Items Use the numbers below to answer question 21 Use the chart below to answer question 23 AR4M03D302Y119-119B AR4M03P102NXXX-153D IN A 10 20 40 80 96 86 93 86 99 OUT B 10 20 40 80 ? 23 Mrs Bunch put the pattern above on the board Which number would correctly complete the pattern? 21 Jorge’s spelling test grades are shown above What is the mean (average) of his grades? A 86 A 100 * B 92 B 120 C 93 C 140 D 94 * D 160 AR4M03N203NXXX-047B AR4M03M103NXXX-087C 24 Larissa needs to bake 120 cookies If there are 30 cookies in a batch, how many batches does she need to bake? 22 Sarah is feet tall How tall is Sarah in inches? A 45 inches A B 48 inches * B * C 54 inches C 90 D 56 inches D 150 PART II Released Mathematics Items Use the pictograph below to answer question 25 Use the picture below to answer question 27 AR4M03D102Y101-101B AR4M03G203Y092-092C 27 Marla wants to glue a piece of yarn around the outer edge of the picture frame above How many inches of yarn does she need to cut? 25 Karen and her friends picked 16 baskets of strawberries Based on the pictograph above, how many baskets did Amanda pick? A * B C D 12 A 12 B 14 * C 24 D 35 AR4M03M103NXXX-034A 28 Justine can run one-fourth of a mile in 120 seconds How many minutes is that? Use the pattern below to answer question 26 AR4M03P106NXXX-043B 11 16 21 26 In the pattern above, each number increases by how many? A * B C 21 D 26 * A B C 20 D 30 AR4M03P104NXXX-104B 29 In the equation below, what is the value of n? (81 − 9) ÷ n = A * B C 72 D 81 PART II Released Mathematics Items Use the figure below to answer question 30 Use the chart below to answer question 33 AR4M03G203Y094-094C AR4M03D302Y152-152C Glasses of Milk Per Week Number of Week Glasses 18 21 14 20 12 33 Joanne kept track of the number of glasses of milk that she drank each week for weeks What was the average number of glasses that she drank per week? 30 How many blocks are there in the figure above? A 14 A B 18 B * C 28 * C 17 D 34 D 21 AR4M03N104NXXX-074B AR4M03N204NXXX-055D 31 The fourth-grade classes at Valley Elementary are going on a field trip There are 392 students Each bus holds 56 students How many buses will they need? A * B C D 34 The fourth grade had a pizza party There are 86 children in the fourth grade If each child ate slices, how many total slices were eaten? A 83 B 89 C 256 * D 258 AR4M03N103NXXX-014A 35 The distance from Austin’s house to his grandparents’ house is 234 miles About how many miles, rounded to the nearest hundred, is this? AR4M03M102NXXX-028C 32 What is another way you could write “5 minutes before o’clock”? A 5:09 B 8:11 * A 200 * C 8:55 B 230 D 9:05 C 240 D 300 PART II Released Mathematics Items Use the figure below to answer question 36 Use the chart below to answer question 38 AR4M03G203NXXX-084C AR4M03D302NXXX-145C Cookies Made for Class Party Blair 28 Michelle 30 Boyd 42 Travis 25 Jean 34 Holly 45 36 The area of a trapezoid pattern block is equal to triangular pattern blocks How many triangles would be needed to find the area of a hexagon? (You may use your pattern blocks to help you.) 38 The chart above shows how many cookies Blair and her friends made for the class party What is the mean (average) number of cookies made by the students? A B A 23 * C B 25 D * C 34 D 45 Use the pictograph below to answer question 37 AR4M03D102Y126-126D Use the chart below to answer question 39 AR4M03P102Y140-140C 37 Based on the data in the pictograph above, which of the following statements is true? 39 The chart above shows a relationship between the numbers in the “IN” column and the numbers in the “OUT” column What number would complete the chart above? A More people visited in June than in July B More people visited in September than in August C More people visited in September and October combined than in the other three months combined A 16 B 26 More people visited in June and July combined than in the other three months combined * C 28 D 32 * D 10 PART II Released Mathematics Items Use the table below to answer question 40 AR4M03N104Y023-023D 40 How much money did Lisa earn baby-sitting last week? A $ 9.25 B $15.25 C $15.65 * D $15.75 11 PART II Released Mathematics Items MATHEMATICS OPEN-RESPONSE ITEM A AR4M03D302Y008-008R How Many States Can You Name in One Minute? Name Laurie Justin Thomas Serena Mariah Candace Zachary Isabelle Anthony William Number of States 15 16 18 16 9 15 13 10 A Mrs Johnson asked a group of students in her class to name as many states in the United States as they could in one minute The data collection is shown above What is the mean (average) number of states the group of students could name? Explain your answer using words and/or numbers What is the mode of the data? Explain your answer using words and/or numbers BE SURE TO LABEL YOUR RESPONSES AND RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM A SCORE DESCRIPTION The student earns points The response contains no incorrect work The student earns points The student earns points The student earns point or shows some minimal understanding Example: Procedures for Mean and/or Mode are reversed No understanding is shown Blank – No Response A score of “B” will be reported as “NA” (No Attempt – Zero Score) B 12 PART II Released Mathematics Items Solution and Scoring Part 1: Answer: (2 points possible) point for correct answer of 13 Note: Do not give credit if incorrect procedure is used AND Work: point for correct and complete procedure for Mean shown or explained Work may contain a calculation or copy error ● Give credit for the following explanations or equivalent: ○ 15 + 16 + 18 + 16 + + + 15 + 13 + 10 + = Sum Sum ÷ 10 = Mean, or ○ “The average is found by adding all the numbers together (130) and then dividing by the number of pieces of data (10).” Part 2: Answer: (2 points possible) point for correct answer of Note: Do not give credit if incorrect procedure is used ● Example: 18 – = (range is found) AND Work: point for correct and complete procedure for Mode shown or explained ● Give credit for the following explanations or equivalent: ○ “The mode is the number that occurs most often,” or ○ “There are three 9’s,” or ○ Numbers are listed and the 9’s are identified in some way (circled) ● Give credit for the following only if a Mode of is given: ○ “I counted how many there were of each number.” Note: Do not give credit for vague explanation ● Example: “I counted.” 13 PART II Released Mathematics Items MATHEMATICS OPEN-RESPONSE ITEM B AR4M03P102NXXX-007R B Use these equations to answer the questions that follow Find each sum above What pattern you notice? Explain how you could use this pattern to find the sum of 6,000 + 8,000 BE SURE TO LABEL YOUR RESPONSES 1, 2, AND RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM B SCORE DESCRIPTION B The student earns points The response contains no incorrect work The student earns – ½ points The student earns – ½ points The student earns ½ or ½ points or shows some minimal understanding No understanding is shown Blank – No Response A score of “B” will be reported as “NA” (No Attempt – Zero Score) 14 PART II Released Mathematics Items Solution and Scoring Part 1: Answer: (1 point possible) point for correct answers given: 11; 110; 1,100; 11,000 OR ½ point for or correct answers given Part 2: (1 point possible) Answer: point for correct and complete statement of the pattern ● Give credit for the following explanations or equivalent: ○ “The sum of + = 11 All the answers start with 11 and add a pattern of zeros; first one, then two, then three,” or ○ “Each sum has the same number of zeros after ‘11’ that are in each addend Example: 60 and 50 each have one ‘0.’ Therefore, their sum would be 110,” or ○ “Add a every time.” Note: Do not give credit for incomplete explanations ● Example: “I added zeros.” ● Example: “Add a to the and 6” (only addresses the addends) Part 3: (2 points possible) Answer: points for correct and complete explanation ● Give credit for the following explanations or equivalent: ○ + = 14; add zeros to get 14,000, or ○ + = 14 and add zeros, or ○ + = 14 and add zeros to get 14,000, or ○ + 60 + 80 600 + 800 6,000 + 8,000 Give full credit with or without sums of 14, 140, 1,400, 14,000 OR point for incomplete or vague explanation, but understanding of pattern is shown ● Give credit for the following or equivalent: ○ 14 140 1400 14,000 (only sums given), or ○ “Add + = 14 and add 0’s” (incomplete), or ○ Student uses given pattern (6 + 5, etc.) to find 6,000 + 8,000 ▲ Example: “I could add 6,000 + 5,000 and then add 3,000.” Note: Do not give credit for 6,000 + 8,000 = 14,000 only 15 PART II Released Mathematics Items MATHEMATICS OPEN-RESPONSE ITEM C AR4M03M301NXXX-063R C Thomas, Sam, and David all put their coins together to buy a set of comic books Altogether, they paid $4.48 Thomas contributed quarters, dimes, nickels, and pennies How much money did Thomas contribute? Explain your work using words, numbers, and/or pictures David contributed only nickels and dimes for a total of $1.20 What are two possible combinations that he could have used? Explain your work using words, numbers, and/or pictures BE SURE TO LABEL YOUR RESPONSES AND RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM C SCORE B DESCRIPTION The student earns points The response contains the correct label of “$” and contains no incorrect work The student earns – ½ points The student earns – ½ points The student earns ½ – ½ points or shows some minimal understanding No understanding is shown Blank – No Response A score of “B” will be reported as “NA” (No Attempt – Zero Score) 16 PART II Released Mathematics Items Solution and Scoring Part 1: Answer: (2 points possible) point for correct answer of ($)2.28 AND Work: point for correct and complete procedure showing how to determine the answer ● Give credit for the following work and/or explanations or equivalent Work may contain a calculation or copy error ○ 7(.25) + 4(.10) + 2(.05) + 3(.01) = Total Amount, or ○ 1.75 + 40 + 10 + 03 = Total Amount, or ○ Correct number of each coin drawn with correct $ values indicated Do not give credit if coins only have “Q”, “D”, “N”, etc Note: Do not give credit for partial or incomplete work ● Example: “I added quarters, dimes, nickels and pennies.” Part 2: Answer: (2 points possible) point for correct combinations of nickels and dimes (combinations listed below) ● Example: nickels and dimes, and nickels and dimes OR ½ point for correct combination ● Example: nickels and 11 dimes Nickels # $ 10 20 30 40 10 50 12 60 14 70 16 80 18 90 20 1.00 22 1.10 Dimes Total # $ $1.20 11 1.10 " 10 1.00 " 90 " 80 " 70 " 60 " 50 " 40 " 30 " 20 " 10 " AND Work: ½ point (1 point total) for work showing why each combination of nickels and dimes will total $1.20 as shown in the $ columns of the chart above ● Example: nickels = 30, and dimes = 90 ● Example: Correct drawing with correct $ values indicated Note: Work may contain a calculation or copy error Do not give credit for partial or incomplete work 17 PART II Released Mathematics Items MATHEMATICS OPEN-RESPONSE ITEM D AR4M03N204Y032-032R School Store Item Amount Pencils $1.25 Pen $1.75 Paper $2.25 Ruler $1.75 Eraser $0.10 Notebook $3.50 D Anthony needs to buy school supplies Anthony plans to buy one pack of pencils, paper, a ruler, and a notebook at the school store What will be the total cost for all of Anthony’s supplies? Explain your answer using words and/or numbers Anthony has $10.00 Will this be enough money for all of the supplies Anthony plans to buy? Explain your answer using words and/or numbers BE SURE TO LABEL YOUR RESPONSES AND RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM D SCORE B DESCRIPTION The student earns points The response contains the correct label of “$” and contains no incorrect work The student earns points The student earns points The student earns point or shows some minimal understanding Example: 1.25 + 1.75 + 2.25 = 5.25 only (correctly adds out of items) No understanding is shown Example: Adds all items (10.60) only Blank – No Response A score of “B” will be reported as “NA” (No Attempt – Zero Score) 18 PART II Released Mathematics Items Solution and Scoring Part 1: Answer: (2 points possible) point for correct answer of ($)8.75 AND Work: point for correct and complete procedure shown and/or explained Work may contain a calculation or copy error ● Give credit for the following explanations or equivalent: ○ $1.25 + $2.25 + $1.75 + $3.50 = Total Cost, or ○ “I added 1.25, 2.25, 1.75 and 3.50 to get the cost of the supplies.” Note: Do not give credit for vague or incomplete explanations ● Example: “I added his supplies.” Part 2: Answer: (2 points possible) points for correct answer and explanation based on total in Part ● Give credit for the following or equivalent: ○ “Yes, because he only spent (8.75 or Total Cost in Part ≤ 10.00), and he has 10.00” (both 10.00 and Total Cost from Part are mentioned), or ○ “Yes, since 8.75 < 10.00,” or ○ “Yes, because 10.00 – 8.75 = 1.25,” or ○ “No, because he spent (Total Cost in Part > 10.00) and he only has 10.00” (both 10.00 and Total Cost from Part are mentioned) OR point for correct “Yes, No” response based on answer in Part Explanation is partial, vague, or work contains an error ● Example: Only 10.00 or 8.75 (or Total Cost from Part 1) is mentioned ● Example: No “Yes, No” answer is given, but work is correct and complete Note: Do not give credit for “Yes” or “No” answer without any valid support 19 PART II Released Mathematics Items MATHEMATICS OPEN-RESPONSE ITEM E AR4M02G104Y129-129R E Emily took the hexagon pattern shape above and cut it symmetrically into two equal pieces, cutting from one vertex to another across the shape What shape are the two new pieces? Use words or a picture to explain your answer If Emily cuts the hexagon on all lines of symmetry, what shape will the new pieces be? Use words or a picture to explain your answer BE SURE TO LABEL YOUR RESPONSES AND RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM E SCORE B DESCRIPTION The student earns points Part contains lines of symmetry connecting opposite vertices only or all lines of symmetry The response contains no incorrect work The student earns points The student earns points The student earns point or shows some minimal understanding No understanding is shown Blank – No Response A score of “B” will be reported as “NA” (No Attempt – Zero Score) 20 PART II Released Mathematics Items Solution and Scoring Part 1: Answer: (2 points possible) point for correct answer of “Trapezoid” or “Quadrilateral.” Note: Give credit for a drawing of a trapezoid (with no name or incorrect name) if no credit is given for the work or explanation in Part Note: Do not give credit for “Trapezoid” or “Quadrilateral” if the explanation includes a diagram of a hexagon that is divided into shapes, none of which are trapezoids or quadrilaterals Work: AND point for the following work or explanations: ● One of the following diagrams of a hexagon cut symmetrically from vertex to another: , or ● Correct and complete definition of trapezoid ○ Example: “She would have two trapezoids since each shape would have sides with just pair of sides being parallel.” Part 2: Answer: (2 points possible) point for correct answer of “Triangle.” Note: Give credit for a drawing of a triangle (no name) if no credit is given for the work or explanation in Part Note: Do not give credit for “Triangle” if the explanation includes a diagram of a hexagon that is divided into shapes, none of which are triangles, or multiple answers are given Work: AND point for the following work or explanation: ● Correct drawing of hexagon with anywhere from lines of symmetry (connecting the opposite vertices, or connecting the midpoints of opposite sides, resulting in triangles) up to all lines of symmetry (resulting in 12 triangles), as shown below: Lines of Symmetry Connecting Opposite Vertices All Lines of Symmetry Connecting Opposite Vertices , or and Midpoints of Opposite Sides ● “If she cut the hexagon on all lines of symmetry, she will have triangles (or 12 triangles).” Note: Do not give credit for incomplete procedure (< lines of symmetry), vague explanations, or explanations that basically repeat the prompt ● Example: “If I draw all of the lines of symmetry, I’ll get triangles.” 21 PART II Released Mathematics Items Mathematics Reference Sheet Grade Use the information below, as needed, to answer questions on the Mathematics test foot = 12 inches cup = ounces (oz) kilogram = 1000 grams yard = feet pint = cups liter = 1000 milliliters quart = pints gallon = quarts pound (lb) = 16 ounces (oz) 22 ... What fraction of the sandwiches did he eat? A B * C 1 D 1 A 6 +4 = n * B 6 4= n C 4+ 4+6 +6 =n D (4 × 4) + (6 × 6) = n AR4M03M301NXXX- 046 C 17 Mr Barnhill has the temperature in his house set to a comfortable... ○ + = 14; add zeros to get 14, 000, or ○ + = 14 and add zeros, or ○ + = 14 and add zeros to get 14, 000, or ○ + 60 + 80 600 + 800 6,000 + 8,000 Give full credit with or without sums of 14, 140 ,... 30 How many blocks are there in the figure above? A 14 A B 18 B * C 28 * C 17 D 34 D 21 AR4M03N104NXXX-074B AR4M03N204NXXX -0 55 D 31 The fourth -grade classes at Valley Elementary are going on a field
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