PART II Released Items (Mathematics) CALCULATOR NOT PERMITTED  ITEMS – AR4M01D201Y131-131B AR4M01N106NXXX-096D of a dollar for taking out the trash Which decimal represents the Bill’s mom gives him Which two spinners below would give you an equal chance of spinning a C? amount of money Bill receives? A 0.04 B 0.14 C 0.20 * D 0.25 Use the figure below to answer question A * B I and II I and III C II and III D III and IV AR4M01G201Y055-055D AR4M01P103NXXX-104C What is the perimeter of the rug above? Mr Douglas asked each of his fourth-grade students to write an inequality statement Which one of the following inequality statements is true? A 1258 < 1249 B 76,849 > 76,890 * C 94,682 > 94,628 D 1,238,489 < 1,219,999 A 07 ft B 11 ft C 12 ft * D 14 ft PART II Released Items (Mathematics) AR4M01M103Y065-065D Alex drew a floor plan of her house What is the length in feet of Alex’s house from the corner of the kitchen to the corner of the baby’s room? A 04 feet B 05 feet C 20 feet * D 40 feet AR4M01G102Y127-127A AR4M01G104NXXX-052C Which shape does not have parallel sides? Aaron has paper cut-outs of a rectangle and two circles Which of the following 3-dimensional shapes could Aaron make using all three of his cut-out shapes? * A a cone B a sphere * C D a cylinder a rectangular prism PART II Released Items (Mathematics) Use the figure below to answer question AR4M01M201Y063-063B Which measurement best describes the length of a jump rope? A * B 07.3 inches 07.3 feet C 07.3 yards D 73.0 feet PART II Released Items (Mathematics) CALCULATOR PERMITTED  ITEMS – 40 01/FC/S4A/P18D N 01/FD/S4A/P14C G Angelo was asked to find the quotient of two numbers What operation did he need to do? A add B subtract C multiply * D 12 How many faces does a cube have? A B * C D divide 01/FB/S4A/P14A M 13 Lee’s mother has a 32-fluid-ounce pitcher filled with milk How many cups can she fill? (8 fluid ounces = cup) 01/FG/S4A/P17B P 10 Maria collects pictures of butterflies She has 140 pictures Of these, 80 pictures show butterflies Which equation can you use to show pictures without butterflies? A 140 + 80 = N * B 140 – 80 = N C 140 × 80 = N D 140 ÷ 80 = N * A 004 B 024 C 040 D 256 01/FG/S4A/P18D N 14 In the number 652,479,103, in what place value is the underlined digit? 01/FD/S4A/P16B D 11 Find the mean (mean = average) for the set of numbers below 5, 3, 8, 4, 10, 12 A 04 * B 07 C 08 D 10 A tens B ten thousands C millions * D ten millions PART II Released Items (Mathematics) 01/FD/S4A/P17A P 01/FB/S4A/P15B G 15 Which comparison is correct? 18 How many figures (circle, triangle, rectangle, square ) you need to make the cylinder below? * A 0,500 < 550 B 0,300 > 2,850 C 4,300 = 3,400 D 9,919 < 9,919 01/FF/S4A/P16C D 16 Look at the spinner below A congruent circles and triangle * B congruent circles and rectangle C congruent circles and trapezoid D congruent circles only AR4M01N104NXXX-078C 19 Mrs Teasley’s fourth-grade class divided into teams of for field day races There were students left over after all of the teams were formed Which could be the total number of students that are in Mrs Teasley’s class? How many times is the spinner likely to land on blue in 24 spins? A B A 24 * C 12 B 26 D 24 * C 27 D 28 01/FE/S4A/P15D M 17 Four feet equals AR4M01P104NXXX-085D 20 Mr Dove wrote the number sentence N ÷ = on the board What number could replace N to make this number sentence true? A inches B inches C 12 inches A * D 48 inches B C 12 * D 27 PART II Released Items (Mathematics) AR4M01M303NXXX-061A AR4M01D201Y136-136A 21 Sam makes his own frames to display his photography The shop sells 48-inch wood strips for framing If all of Sam’s frames are in × in rectangles, how many frames can he make from strip? 23 Ramiro made a graph showing the number of crickets the class pet turtle ate in a five-day period How many crickets did it eat in days? * A B C D 12 AR4M01G103Y128-128B 22 Which set of figures is congruent? * * A 20 B 40 C 60 D 80 AR4M01P104NXXX-101B 24 LaToya made up this number sentence: N × = × What number could replace N to make LaToya’s number sentence true? A * B C 16 D 64 PART II Released Items (Mathematics) AR4M01N107NXXX-045D AR4M01M103Y039-039A 25 Lark Creek Elementary School had fifthgrade classrooms and a total of 96 fifth-grade students If each classroom has exactly the same number of students, which number sentence could be used to calculate the number of students in each classroom? 27 A Ferris wheel at the fair is 208 feet high About how high is the Ferris wheel in yards? A 96 + = B 96 − = C 96 × = * D 96 ÷ = AR4M01G102Y132-132C 26 Which figure below could be folded to make a cube? * A 069 yards B 104 yards C 205 yards D 624 yards Use the figure below to answer question 28 * AR4M01P101Y106-106D 28 Juan put the above shapes in a box because they all follow a common rule What is one common rule that fits all of the shapes in Juan’s box? A They all have at least sides B They all have at least vertices C They all have at least one acute angle * D They all are symmetrical PART II Released Items (Mathematics) AR4M01D201NXXX-059C AR4M01G105Y053-053A 29 Todd has a collection of pro football team T-shirts He has Miami Dolphin shirts, Jacksonville Jaguar shirts, and from other teams If Todd selects a shirt at random, what is the probability that he will pick a Dolphin shirt? 32 Mrs O’Keefe’s kindergarten students made structures with sugar cubes The volume of each sugar cube is l cubic inch Who made the structure with the greatest volume? A 12 B 12 * C 12 D 12 AR4M01N102NXXX-079B 30 During the month of February, a student in fourth grade read for a total of 1,680 minutes For how many minutes did the student read each day if she read for the same number of minutes on each of the 28 days in February? A 0028 * B 0060 C 0070 * A Amy B Brent C Chris D David Use the chart below to answer question 33 AR4M01P104Y138-138A D 1,680 AR4M01N107NXXX-046D 31 Troy must read independently for hours per week If Troy reads for 20 minutes per day, how many days will it take him to read for a total of hours? 33 The chart above shows the pattern of Isabel’s savings over a 5-week period What is the rule Isabel used to create this pattern? A 20 + 120 = B 120 − 20 = * A C 120 × 20 = B subtract * D 120 ÷ 20 = C divide by D multiply by add PART II Released Items (Mathematics) AR4M01D101NXXX-067A 34 Students in Mr Kon’s science class want to determine which hours of the day are the warmest and the coolest They put a beaker of water outside in the sun and recorded the temperature of the water at different times for one week What are the best times for the students to record their data? * A B Use the information below to answer question 36 8:15 a.m., 12:00 noon, 1:30 p.m., and 4:00 p.m 1:30 p.m., 3:30 p.m., 5:30 p.m., and 7:30 p.m C 8:15 a.m., 9:15 a.m., 10:15 a.m., and 11:15 a.m D 4:00 p.m., 6:00 p.m., 8:00 p.m., and 10:00 p.m AR4M01P106Y107-107B 36 Bridget’s dad kept count of how far he bicycled over a period of 50 minutes If this pattern continues, how many miles will Bridget’s dad have traveled in 90 minutes? AR4MO1M302Y009-009C hours to drive from Fayetteville to Little Rock If you leave Fayetteville at 35 It takes A 30 miles * B 45 miles C 60 miles D 90 miles AR4M01M103Y007-007D 4:15 p.m., what time will you arrive in Little 37 Roberto’s pet rabbit weighs kilograms If his cat weighs the same as his rabbit, how many grams does the cat weigh? Rock? A 0003 grams A 4:45 p.m B 0030 grams B 7:15 p.m C 0300 grams * C 7:45 p.m * D 3000 grams D 8:00 p.m 10 PART II Released Items (Mathematics) AR4M01N103NXXX-014A 39 What is the value of in 32.05? Use the figure below to answer question 38 * A tens B ones C hundreds D thousands AR4M01D301Y091-091A 40 Steve and Michael were playing a number game They turned the 15 cards shown below face down If Michael chooses one card, what is the probability that he will choose a card with an even number on it? AR4M01D201Y013-013A 38 Raul has a game that uses the spinner shown above What is the probability that a player will spin and land on “RETURN START”? * A B C D * A 11 out of 15 B out of C out of 15 D out of PART II Released Items (Mathematics) MATHEMATICS OPEN-RESPONSE ITEM A AR4M1N101NXXX -157R A Rashid and Matthew are playing a math game There are two stacks of number cards with the digits 0–9 on them Each player draws cards • Rashid’s cards: • Matthew’s cards: The winner of the first game is the person who can make the largest four-digit number with the numbers drawn Tell who won the first game Explain your answer with words and/or numbers The winner of the second game is the person who can make the smallest four-digit number with the numbers drawn Tell who won the second game Explain your answer with words and/or numbers BE SURE TO LABEL YOUR RESPONSES AND RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM A Score Description 4 points – Response contains no incorrect work 3 points – ½ points 2 points – ½ points ½ point – ½ points or some minimal understanding shown No understanding shown B Blank – No Response A score of “B” will be reported as a score “NA” (No Attempt – Zero Score) Solution Part 1: Rashid won Work/Explanation: 9,730 > 8,520 OR Rashid has 9,730 and Matthew has 8,520 OR Student states that Rashid’s largest number can have a “9” in the thousands place so it will be greater than Matthew’s largest number, which can only have an “8” in the thousands place Part 2: Matthew won Work/Explanation: 2,058 < 3,079 (or 0258 < 0379) OR Matthew has 2,058 and Rashid has 3,079 (or 0258 and 0379) OR Student states that Matthew’s smallest number can have a “2” in the thousands place so it will be less than Rashid’s number since the smallest digit he can have in the thousands place is a “3 12 PART II Released Items (Mathematics) Scoring (4 total points possible) Part 1: (2 points possible) • point for correct answer of “Rashid won” with work or explanation containing evidence of some correct procedure using any of the following: o Correct comparison of any 4-digit numbers formed using the digits of 7, 0, 3, and 0, 8, 5, 2, or o Some correct explanation regarding place value (ex is the biggest number), or o 4-digit number formed with in the thousands place using 7, 0, 3, (ex 9037) OR • ½ point for correct answer of “Rashid won” with no work or explanation containing any of the above support OR • points for answer of “Rashid won” with evidence of incorrect procedure: o Adding digits (7 + + + = 19 and + + + = 15) and comparing numbers: 19 > 15, or o Comparing first digits listed (7 > 0) Work/Explanation: • point for either of the following: o correct numbers (9,730 and 8,520), or o Correct and complete explanation regarding place value (ex > 8, etc.) OR • ½ point for either of the following: o correct number (9,730 or 8,520), or o Partial explanation regarding place value (ex is the largest number) Part 2: (2 points possible) • point for correct answer of “Matthew won” with work or explanation containing evidence of some correct procedure using any of the following: o Correct comparison of any 4-digit numbers formed using the digits of 7, 0, 3, and 0, 8, 5, 2, or o Some correct explanation regarding place value (ex is the smallest number), or o 4-digit number formed with in the thousands place using 0, 8, 5, (ex 2,508) (or in the hundreds place and in the thousands place – ex 0285) OR • ½ point for correct answer of “Matthew won” with no work or explanation containing any of the above support OR • points for correct answer of “Matthew won” with evidence of incorrect procedure: o Adding digits (7 + + + = 19 and + + + = 15) and comparing numbers: 15 < 19, or o Same numbers in Part are compared Work/Explanation: • point for either of the following: o correct numbers (2,058 and 3,079 or 258 and 379), or o Correct and complete explanation regarding place value (ex < 3, etc.) OR • ½ point for either of the following: o correct number (258; 2,058; 379; or 3,079), or o Partial explanation regarding place value (ex is the smallest number) 13 PART II Released Items (Mathematics) MATHEMATICS OPEN-RESPONSE ITEM B AR4M01D102Y155-155R B The chart above shows a record of how much paper was used in one week by five students in Mrs Drew’s class How many more sheets of paper did Aaron use than Kayla? Explain your reasoning using words and/or numbers Compare the amount of paper used on Friday to the amount used on Monday Explain your answer using words and/or numbers BE SURE TO LABEL YOUR RESPONSES AND RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM B Score Description 4 points – Response contains no incorrect work 3 points 2 points 1 point or some minimal understanding shown No understanding shown B Blank – No Response A score of “B” will be reported as a score “NA” (No Attempt – Zero Score) 14 PART II Released Items (Mathematics) Solution Part 1: more sheets Work/Explanation: 26 – 18 = OR Aaron: 26 sheets and Kayla: 18 sheets The difference is Part 2: More paper was used on Friday OR Less was used on Monday OR Symbolic representation of comparison: 32 > 15 Work/Explanation: Friday: 32, Monday: 15 OR 32 – 15 = 17, etc Scoring (4 total points possible) Part 1: (2 points possible) • point for correct answer of Work/Explanation: • point for correct procedure used: Student finds Aaron’s number – Kayla’s number (Note: Work might have calculation, counting, or copy error.) Part 2: (2 points possible) • point for correct answer using either of the following: o “Friday uses more…”, or o Symbolic comparison (F# > M#) (Note: Work might have a calculation, counting, or copy error.) Work/Explanation: • point for correct work using either of the following: o Association of days and numbers: Friday – 32 and Monday – 15, or o Subtraction (32 – 15 = 17) without “Friday, Monday” labels 15 PART II Released Items (Mathematics) MATHEMATICS OPEN-RESPONSE ITEM C AR4M01P102Y159-159R C Jake and Timothy play sports in the neighborhood every day The calendar above shows how many times they have played basketball, soccer, and football so far during the month of April If this pattern continues, what sport will Jake and Timothy play on Saturday, April 21? Explain your answer using words and/or numbers How many times will Jake and Timothy play soccer during the month of April? Explain your answer using words and/or numbers BE SURE TO LABEL YOUR RESPONSES AND 16 PART II Released Items (Mathematics) RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM C Score Description 4 points – Response contains no incorrect work 3 points 2 points 1 point or some minimal understanding shown No understanding shown B Blank – No Response A score of “B” will be reported as a score “NA” (No Attempt – Zero Score) Solution Part 1: Football Work/Explanation: Response states any of the following: • Football is played every third day OR • 21 is a multiple of OR • Student fills in calendar with appropriate sport for April 16 through April 21 OR • Explains that the pattern is “basketball, soccer, football” and if started on the 16th, football would be played on the 21st OR • Equivalent work or explanation Part 2: 10 Work/Explanation: Scoring Response states any of the following: • Soccer is played times during the first 15 days of April, so they will play times during the last 15 days of the month OR • 30 ÷ = 10 OR • Student fills in or lists appropriate soccer dates on calendar through April 29 OR • Equivalent work or explanation (4 total points possible) Part 1: (2 points possible) • point for correct answer of Football, AND • point for correct and complete work or explanation Part 2: (2 points possible) • point for correct answer of 10 AND • point for correct and complete work or explanation 17 PART II Released Items (Mathematics) MATHEMATICS OPEN-RESPONSE ITEM D AR4M01M301Y116-116R D Mrs Lehman drew the design shown on the grid above How many completely shaded squares are there in the design? How many half-squares are there in the design? What is the total area of the SHADED part of the design? Explain your reasoning for determining the answer using words, numbers, and/or pictures BE SURE TO LABEL YOUR RESPONSES AND RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM D Score Description 4 points – Response includes correct label of “sq cm.” in Part No incorrect work is included 3 points 2 points 1 point or some minimal understanding shown No understanding shown B Blank – No Response A score of “B” will be reported as a score “NA” (No Attempt – Zero Score) Note: Correct label of “sq cm.” is required only at the “4” level 18 PART II Released Items (Mathematics) Solution Part 1: Correct answer of (shaded squares) and 12 (half-shaded squares) OR Correct answer of (shaded squares) and 24 (half-squares) Part 2: Correct answer of 15 sq cm Work/Explanation: Scoring Part 1: + 12/2 = + = 15 sq cm OR Equivalent work or explanation (4 total points possible) (2 points possible) • point for correct answer of shaded squares, AND • point for correct answer of 12 half-shaded squares or 24 half-squares Part 2: (2 points possible) • point for correct numerical answer based on shaded answers given in Part (Note: Student might refer to 24 half-squares in Part and refer to 12 half-shaded squares, etc., in Part 2.) AND • point for showing or explaining correct and complete procedure for finding total shaded area (Note: Work might contain a calculation or copy error.) 19 PART II Released Items (Mathematics) MATHEMATICS OPEN-RESPONSE ITEM E AR4M01G202Y099-099R E Mrs Needham wants to put a border around the edge of the bulletin board above What is the perimeter of the bulletin board? Explain your reasoning with words and/or pictures Mrs Needham has 20 feet of border Is that enough to go around the bulletin board? Explain your reasoning with words and/or pictures BE SURE TO LABEL YOUR RESPONSES AND RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM E Score Description 4 points – Response includes correct label of “feet.” No incorrect work is included 3 points 2 points 1 point or some minimal understanding shown (e.g., labels sides of rectangle only) No understanding shown (e.g., L × W = × = 18 only, with no correct corresponding work/explanation) B Blank – No Response A score of “B” will be reported as a score “NA” (No Attempt – Zero Score) Note: Correct label of “feet” is required only at the “4” level 20 PART II Released Items (Mathematics) Solution Part 1: Perimeter is 18 feet Work/Explanation: Part 2: Yes, there is enough Work/Explanation: Scoring Part 1: + + + = 18 feet OR Equivalent work or explanation She has enough since she only needs 18 ft and she has 20 ft of border OR 18 < 20 OR 20 – 18 = OR Equivalent work or explanation (4 total points possible) (2 points possible) • point for correct answer of 18 (Note: Give credit for 18 if work includes × (student might be grouping), but not give credit for 18 if it is evident that the incorrect procedure was used: e.g., work includes L × W = × = 18.) Work/Explanation: • point for correct and complete procedure for perimeter: L + L + W + W = P (Note: Work might have a calculation or copy error Do not give credit for × 3.) Part 2: (2 points possible) If the answer in Part is 18, or incorrect due to a calculation error with correct procedure used: • points for correct Y/N corresponding to answer in Part 1, and clear, correct work/explanation in Part OR • point for correct Y/N corresponding to answer in Part 1, but work/explanation in Part is vague, incomplete, or absent OR • point for missing Y/N answer with clear and correct work/explanation in Part If the answer in Part is incorrect due to a procedural error: • point for correct Y/N corresponding to answer in Part with at least some correct work/explanation in Part OR • point for missing Y/N answer with clear and correct work/explanation in Part 21 PART II Released Items (Mathematics) Mathematics Reference Sheet Grade cups = pint pints = quart quarts = gallon 12 inches = foot feet = yard 1000 grams = kilogram 22 ... true? A * B C 16 D 64 PART II Released Items (Mathematics) AR4M01N107NXXX- 045 D AR4M01M103Y03 9-0 39A 25 Lark Creek Elementary School had fifthgrade classrooms and a total of 96 fifth -grade students... cat weigh? Rock? A 0 003 grams A 4: 45 p.m B 0030 grams B 7:15 p.m C 030 0 grams * C 7 :45 p.m * D 3000 grams D 8:00 p.m 10 PART II Released Items (Mathematics) AR4M01N103NXXX-014A 39 What is the value... inches A * D 48 inches B C 12 * D 27 PART II Released Items (Mathematics) AR4M01M303NXXX-061A AR4M01D201Y13 6-1 36A 21 Sam makes his own frames to display his photography The shop sells 48 -inch wood