New York State Grade 5 Mathematics Test 2024 PDF

New York State Testing Program Grade 5 Mathematics Test Released Questions 2024 New York State administered the Mathematics Tests in May 2024 and is making approximately 75% of the questions from these tests available...

New York State Testing Program Grade 5 Mathematics Test Released Questions 2024 New York State administered the Mathematics Tests in May 2024 and is making approximately 75% of the questions from these tests available for review and use.  THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234 New York State Testing Program Grades 3–8 Mathematics Released Questions from 2024 Exams Background As in past years, SED is releasing large portions of the 2024 NYS Grades 3–8 English Language Arts and Mathematics test materials for review, discussion, and use. For 2024, included in these released materials are at least 75 percent of the test questions that appeared on the 2024 tests (including all constructed-response questions) that counted toward students’ scores. Additionally, SED is also providing a map that details what each released question measures and the correct response to each question. These released materials will help students, families, educators, and the public better understand the tests and the New York State Education Department’s expectations for students. Understanding Math Questions Multiple-Choice Questions Multiple-choice questions are designed to assess the New York State P–12 Next Generation Learning Standards for Mathematics. Mathematics multiple-choice questions will be used mainly to assess standard algorithms and conceptual standards. Multiple-choice questions incorporate both the grade-level standards and the “Standards for Mathematical Practices.” Many questions are framed within the context of real-world applications or require students to complete multiple steps. Likewise, many of these questions are linked to more than one standard, drawing on the simultaneous application of multiple skills and concepts. One-Credit Constructed-Response Questions One-credit constructed-response questions require students to complete a task and provide only their final answer. These one-credit questions will often require multiple steps, assessing procedural skills, as well as conceptual understanding and application. While students may show how they arrived at their final answer, only the final answer will be scored. Two-Credit Constructed-Response Questions Two-credit constructed-response questions require students to complete tasks and show their work. These two-credit response questions will often require multiple steps, the application of multiple mathematics skills, and real-world applications. Many of the short-response questions will cover conceptual and application standards. Three-Credit Constructed-Response Questions Three-credit constructed-response questions ask students to show their work in completing two or more tasks or a more extensive problem. These three-credit response questions allow students to show their understanding of mathematical procedures, conceptual understanding, and application. Three-credit response questions may also assess student reasoning and the ability to critique the arguments of others. The scoring rubric for all constructed-response questions can be found in the grade-level Educator Guides at https://www.nysed.gov/state-assessment/grades-3-8-ela-and-math-test-manuals. New York State P–12 Next Generation Learning Standards Alignment The alignment(s) to the New York State P–12 Next Generation Learning Standards for Mathematics is/are intended to identify the primary analytic skills necessary to successfully answer each question. However, some questions measure proficiencies described in multiple standards, including a balanced combination of procedure and conceptual understanding. For example, two-credit and three-credit constructed-response questions require students to show an understanding of mathematical procedures, concepts, and applications. These Released Questions Do Not Comprise a “Mini Test” To ensure it is possible to develop future tests, some content must remain secure. This document is not intended to be representative of the entire test, to show how operational tests look, or to provide information about how teachers should administer the test; rather, its purpose is to provide an overview of how the test reflects the demands of the New York State P–12 Next Generation Learning Standards. The released questions do not represent the full spectrum of the standards assessed on the State tests, nor do they represent the full spectrum of how the standards should be taught and assessed in the classroom. It should not be assumed that a particular standard will be measured by an identical question in future assessments. GRADE 5 MATH SESSION 1 Name:___________________________________________________ New York State Testing Program Mathematics Test Session 1 Grade 5 Spring 2024 RELEASED QUESTIONS SESSION 1 MATH GRADE 5 Developed and published under contract with the New York State Education Department by NWEA, a division of HMH, 14720 Energy Way, Apple Valley, MN 55124. Copyright © 2024 by the New York State Education Department. Session 1  Session 1 TIPS FOR TAKING THE TEST Here are some ideas to help you do your best: Read each question carefully. Take your time. Y  ou have a ruler, a protractor, and a reference sheet that you can use on the test if they help you answer the question. Session 1 Page 1  Carlos walks 3.65 kilometers on Saturday and 1.46 kilometers on Sunday. How many total 1   kilometers does Carlos walk on Saturday and Sunday? A 2.19 B 2.29 C 5.01 D 5.11 2   Which expression is equivalent to ? A B C D GO ON Page 2 Session 1  A diagram of a right rectangular prism made of unit cubes is shown below. 3   What measurement for the right rectangular prism is equal to the total number of cubes? A area B height C perimeter D volume What is 34.275 rounded to the nearest hundredth? 4   A 34.0 B 34.3 C 34.27 D 34.28 GO ON Session 1 Page 3  A group of gold miners found ounces of gold. The miners shared the gold equally. 7   How much gold, in ounces, did each miner receive? A B C D GO ON Session 1 Page 5  A diagram of a 3-dimensional gure is shown below. 9   What is the volume, in cubic inches, of the gure? A 35 B 72 C 184 D 240 10   Steven has cups of raisins. He shares all the raisins equally among himself and his friends. If each person gets cup of raisins, how many people, in total, get raisins? A B C D GO ON Page 6 Session 1  Saul has $6.00 in quarters. He uses all of the quarters to play video games. If each game 12   requires 3 quarters, what is the total number of video games that Saul plays? A 2 B 8 C 12 D 18 GO ON Session 1 Page 7  A company has an annual employee picnic. The company rents buses to transport the 15   employees to the picnic area. There are 1,320 employees. Each bus carries a total of 54 employees. What is the minimum number of buses the company needs to transport all of the employees to the picnic area? A 24 B 25 C 26 D 27 Which comparison is true? 16   A B C D GO ON Session 1 Page 9  Which statement about the relationship between parallelograms and rectangles is true? 19   A All parallelograms are rectangles, but not all rectangles are parallelograms. B All rectangles are parallelograms, but not all parallelograms are rectangles. C All rectangles are parallelograms, and all parallelograms are rectangles. D Not all parallelograms are rectangles, and not all rectangles are parallelograms. GO ON Page 10 Session 1 27   What is the value of the expression ? A B C D 28   Marcel has cups of milk. He uses cup for his cereal and cups for a pancake recipe. How much milk, in cups, does Marcel have remaining? A B C D GO ON Page 14 Session 1 30   What is the area, in square units, of a rectangle with side lengths units and units? A B C D STOP Session 1 Page 15 Grade 5 Mathematics Test Session 1 Spring 2024 GRADE 5 MATH SESSION 2 Name:___________________________________________________ New York State Testing Program Mathematics Test Session 2 Grade 5 Spring 2024 RELEASED QUESTIONS SESSION 2 MATH GRADE 5 Developed and published under contract with the New York State Education Department by NWEA, a division of HMH, 14720 Energy Way, Apple Valley, MN 55124. Copyright © 2024 by the New York State Education Department. Session 2  Session 2 TIPS FOR TAKING THE TEST Here are some ideas to help you do your best: Read each question carefully. Take your time.  ou have a ruler, a protractor, and a reference sheet that you can use on the test if they Y help you answer the question. Be sure to show your work when asked. Be sure to explain your answer when asked. Session 2 Page 1  Rida is walking on a trail that is 2.5 kilometers long. She has walked 0.72 kilometer of the 31    trail so far. How many more kilometers does Rida still need to walk to complete the trail? A 0.53 B 0.97 C 1.78 D 3.22 What is the value of the expression shown below? 32   A B C D Lisa drew a four-sided shape that had exactly one pair of parallel lines and two right 33   angles. Which list correctly classi es the shape Lisa drew? A square, rhombus, quadrilateral B trapezoid, quadrilateral, polygon C rectangle, parallelogram, polygon D rhombus, parallelogram, quadrilateral GO ON Page 2 Session 2 34   Elsie has two equal-sized bags of rice. One bag is full, and the other bag is full. She combines the rice into one of the bags. What fraction of a full bag of rice does Elsie now have after combining the rice? A B C D The distance between two houses on a street is 450 meters. What is the distance measured 35   in kilometers? A 45 B 4.5 C 0.45 D 0.045 GO ON Session 2 Page 3  This question is worth 1 credit. 36   Calvin has a box in the shape of a right rectangular prism. He packs it with unit cubes to determine its volume. The dimensions of the box are listed below. length: 16 inches width: 7 inches height: 8 inches Each unit cube is 1 cubic inch. How many unit cubes will Calvin need to completely ll the box? Answer unit cubes GO ON Page 4 Session 2  This question is worth 1 credit. 37   A family takes a cake to a party. When the family is ready to leave the party, of the cake is left. The family leaves of the leftover cake at the party and takes the remaining cake home. What fraction of all of the cake does the family take home? Answer of the cake GO ON Session 2 Page 5  This question is worth 1 credit. 38   A teacher has 55 sheets of stickers with a total of 1,320 stickers. Each sheet has the same number of stickers. How many stickers are on each sheet? Answer stickers GO ON Page 6 Session 2  This question is worth 2 credits. 39   Students in a fth-grade math class measured the lengths of 12 erasers. The line plot below shows the results. What is the total length, in inches, of all the erasers when they are lined up end to end? Show your work. Answer inches GO ON Session 2 Page 7  This question is worth 2 credits. 40   A table top is completely covered with square tiles as shown below. Each square tile has a side length of foot. What is the area, in square feet, of the table top? Show your work. Answer square feet GO ON Page 8 Session 2  This question is worth 2 credits. 41   Rosa and Steve each have a baseball card collection. Steve has as many baseball cards in his collection as Rosa. Who has more baseball cards? Be sure to include what you know about fractions in your answer. Explain your answer. GO ON Session 2 Page 9  This question is worth 2 credits. 42   A student incorrectly wrote the number three hundred sixty-two and four hundred eight thousandths in expanded form as shown below. What error did the student make when writing the number in expanded form? Be sure to include the correct number in standard form in your answer. Explain your answer. GO ON Page 10 Session 2  This question is worth 2 credits. 43   The base of the right rectangular prism shown below is lled with unit cubes. How many more unit cubes are needed to completely ll the right rectangular prism? Explain how you determined your answer. GO ON Session 2 Page 11  This question is worth 3 credits. 44   Liam makes and sells handmade blankets. He buys 18 yards of fabric at a rate of $6.75 per yard. Liam uses 1.5 yards of fabric to make each blanket, and uses all of the fabric. Liam sells each blanket for $18.75. What is the pro t Liam makes after buying the fabric and selling all the blankets? Show your work. Answer $ STOP Page 12 Session 2 Grade 5 Mathematics Test Session 2 Spring 2024  THE STATE EDUCATION DEPARTMENT THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234 2024 Mathematics Tests Map to the Standards Grade 5 Multiple Choice Constructed Response Questions Questions Question Type Key Points Standard Domain Secondary Standard(s) Percentage of Students P-Value Average Who Answered Correctly (Average Points Earned ÷ Points Earned (P-Value) Total Possible Points) Session 1 1 Multiple Choice D 1 NGLS.Math.Content.NY-5.NBT.7 Number and Operations in Base Ten 0.89 2 Multiple Choice C 1 NGLS.Math.Content.NY-5.NF.4a Number and Operations - Fractions 0.75 3 Multiple Choice D 1 NGLS.Math.Content.NY-5.MD.3a Measurement and Data 0.70 4 Multiple Choice D 1 NGLS.Math.Content.NY-5.NBT.4 Number and Operations in Base Ten 0.62 7 Multiple Choice D 1 NGLS.Math.Content.NY-5.NF.3 Number and Operations - Fractions 0.43 9 Multiple Choice C 1 NGLS.Math.Content.NY-5.MD.5c Measurement and Data 0.51 10 Multiple Choice D 1 NGLS.Math.Content.NY-5.NF.7c Number and Operations - Fractions 0.71 12 Multiple Choice B 1 NGLS.Math.Content.NY-4.MD.2a Measurement and Data 0.54 15 Multiple Choice B 1 NGLS.Math.Content.NY-5.NBT.6 Number and Operations in Base Ten 0.42 16 Multiple Choice C 1 NGLS.Math.Content.NY-5.NBT.3b Number and Operations in Base Ten 0.83 19 Multiple Choice B 1 NGLS.Math.Content.NY-5.G.3 Geometry 0.48 27 Multiple Choice A 1 NGLS.Math.Content.NY-5.NF.7a Number and Operations - Fractions 0.72 28 Multiple Choice A 1 NGLS.Math.Content.NY-5.NF.2 Number and Operations - Fractions 0.46 30 Multiple Choice C 1 NGLS.Math.Content.NY-5.NF.4b Number and Operations - Fractions 0.27 Session 2 31 Multiple Choice C 1 NGLS.Math.Content.NY-5.NBT.7 Number and Operations in Base Ten 0.73 32 Multiple Choice C 1 NGLS.Math.Content.NY-5.NF.1 Number and Operations - Fractions 0.61 33 Multiple Choice B 1 NGLS.Math.Content.NY-5.G.4 Geometry 0.38 34 Multiple Choice D 1 NGLS.Math.Content.NY-5.NF.2 Number and Operations - Fractions 0.71 35 Multiple Choice C 1 NGLS.Math.Content.NY-5.MD.1 Measurement and Data 0.49 36 Constructed Response n/a 1 NGLS.Math.Content.NY-5.MD.5a Measurement and Data 0.57 0.57 37 Constructed Response n/a 1 NGLS.Math.Content.NY-5.NF.6 Number and Operations - Fractions 0.12 0.12 38 Constructed Response n/a 1 NGLS.Math.Content.NY-5.NBT.6 Number and Operations in Base Ten 0.62 0.62 39 Constructed Response n/a 2 NGLS.Math.Content.NY-5.MD.2 Measurement and Data 0.97 0.49 40 Constructed Response n/a 2 NGLS.Math.Content.NY-5.NF.4b Number and Operations - Fractions 0.54 0.27 41 Constructed Response n/a 2 NGLS.Math.Content.NY-5.NF.5a Number and Operations - Fractions 0.43 0.22 42 Constructed Response n/a 2 NGLS.Math.Content.NY-5.NBT.3a Number and Operations in Base Ten 0.48 0.24 43 Constructed Response n/a 2 NGLS.Math.Content.NY-5.MD.5a Measurement and Data 1.04 0.52 44 Constructed Response n/a 3 NGLS.Math.Content.NY-5.NBT.7 Number and Operations in Base Ten 0.55 0.18 *This item map is intended to identify the primary analytic skills necessary to successfully answer each question. However, some questions measure proficiencies described in multiple standards, including a balanced combination of procedural and conceptual understanding.