New York State Testing Program
Grade 5 Common Core
Mathematics Test
(Chinese)
Released Questions
May 2016
New York State administered the Mathematics Common Core Tests in
April 2016 and is now making approximately 75% of the
THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234
New York State Testing Program
Grade 3-8 Mathematics
Released Questions from 2016 Exams
Background
In 2013, New York State began administering tests designed to assess student performance in accordance with the instructional shifts and rigor demanded by the new New York State P-12 Learning Standards in Mathematics. To help in this transition to new assessments, the New York State Education Department (SED) has been releasing an increasing numbers of test questions from the tests that were administered to students across the State in the spring. This year, SED is again releasing large portions of the 2016 NYS Grade 3-8 Common Core English Language Arts and Mathematics test materials for review, discussion, and use.
For 2016, included in these released materials are at least 75 percent of the test questions that appeared on the 2016 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 QuestionsMultiple-choice questions are designed to assess the New York State P-12 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. Short-Response Questions
Short-response questions require students to complete tasks and show their work. Like multiple-choice questions, short-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 of the standards.
Extended-Response Questions
Extended-response questions ask students to show their work in completing two or more tasks or a more extensive problem. Extended-response questions allow students to show their understanding of mathematical procedures, conceptual understanding, and application. Extended-response questions may also assess student reasoning and the ability to critique the arguments of others.
The scoring rubric for short and extended constructed-response questions can be found in the grade-level
Educator Guides at
http://www.engageny.org/resource/test-guides-for-english-language-arts-and-mathematics.
New York State P-12 Learning Standards Alignment
The alignment(s) to the New York State P-12 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-point and three-point 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 future valid and reliable tests, some content must remain secure for possible use on future exams. As such, 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 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. Specific criteria for writing test questions, as well as additional assessment
Developed and published under contract with the New York State Education Department by Questar Assessment, Inc., 5550 Upper 147th Street West, Apple Valley, MN 55124. Copyright © 2016 by the New York State Education Department.
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考試建議
以下建議可協助你獲得好成績：
• 在回答問題之前，仔細閱讀每一試題，並好好思考一下答案後再作答。
• 本次考試提供數學工具（一把尺子和一個量角器）和一張參考資料讓你使用。你可以自行決
定使用各個工具和參考資料的時機。考試當中只要你覺得使用數學工具和參考資料能協助你
解答就可以使用。
• 請務必按照要求寫出你的計算過程。
• 分配好時間。
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1 頁
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3 卷
重新排列下面的數字，令其從最小到最大數字的順序排列。
答案
最小 最大
將數字 33.01 新增到數列中，以令新的數列仍按數字順序排列。請問 33.01 應放在哪兩個數字之間？
答案 介於
與
之間
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第
2 頁
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3 卷
某玩具公司使用如下所示的盒子來裝木制立方體。
英尺
英尺
英尺
每個木制立方體的體積為 立方英尺。請問總共多少個木制立方體剛好能夠裝滿這個盒子？
請顯示你的計算過程和結果。
答案
個木制立方體
47
繼續
第
3 頁
第
3 卷
某圖書館將 6,422 張音樂 CD 存放在 26 個書架上。如果每個書架上都放置相同數量的 CD，請問各
個書架上存放多少張
CD？
請顯示你的計算過程和結果。
答案
張
CD
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第
4 頁
第
3 卷
請說明 n 和 4 之間應該為何種關係才能令該表達式的值
大於7。
答案
請說明 a 和 b 之間應該為何種關係才能令該表達式的值
等於 7。
答案
49
繼續
第
5 頁
第
3 卷
羅紮爾瓦和傑克每天都要步行特定的距離。他們將這些距離記錄在了下表中。
星期一
星期二
星期三
星期四
總數
已走的距離
羅紮爾瓦 傑克
（公里） （公尺）
步行四天時間，羅紮爾瓦和傑克行走的總距離相差多少公尺？
請顯示你的計算過程和結果。
答案
公尺
50
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第
6 頁
第
3 卷
安東莞寫了下面的表達式。
• 運算式 A：
4 × [(1.5 + 100.25) × 3.65]
• 表達式 B：
× [(1.5 + 100.25) × 3.65]
表達式 B 的值是表達式 A 的值的八倍。不用計算表達式 A 的值，求出表達式 B 中的方塊內應為什
麼數字。請說明你是如何求出這個數字的。
請寫出你的計算過程，或說明你是如何求出這個數字的。
答案
51
繼續
第
7 頁
第
3 卷
安迪收藏了一套影片 DVD。在安迪的收藏中，
• 的 DVD 是「動作片」，同時，
• 的 DVD 是「喜劇片」。
安迪說他的收藏中有 是「動作片」或「喜劇片」。辛西亞說安迪犯了一個錯誤。請說明安迪是否
正確並解釋原因。
安迪收藏的 DVD 中既不是「動作片」也不是「喜劇片」的 DVD 的比率是多少？
請顯示你的計算過程和結果。
答案
52
繼續
第
8 頁
第
3 卷
為了做狗窩，茉莉買了 12.5 碼的布，每碼布 $4.50。她做每個狗窩都用了 2.5 碼的布。她以每個 $17.50
的價格將狗窩售出。如果茉莉將所有的狗窩都賣出去了，減去布料的成本後，她賺了多少錢？
請顯示你的計算過程和結果。
答案
$
53
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第
9 頁
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3 卷
某場比賽包含三個部分，其中騎自行車比賽部分為
英里長。跑步比賽部分的距離是騎自行車比賽
距離的
。獨木舟比賽部分的距離是跑步比賽距離的 。請問這次比賽的總距離是多少英里？
請顯示你的計算過程和結果。
答案
英里
54
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10 頁
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3 卷
某公司將瓶裝潤膚乳放入三英寸立方體盒子中。然後將這些盒子裝進運輸箱中，如下所示。
英尺
英尺
英尺
英寸
英寸
英寸
請問要將多少盒潤膚乳裝進運輸箱中，才能將其完全裝滿？
請顯示你的計算過程和結果。
答案
盒潤膚乳
55
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停止作答
5 年級
2016 Common Core
數學考試
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2016 年 4 月 13 至 15 日
Grade 5
2016 Common Core
Mathematics Test
Book 3
April 13–15, 2016
Multiple Choice Questions:
Percentage of Students Average P-Value Secondary Who Answered Correctly Points (Average Points Earned Question Type Key Points Standard Cluster Standard(s) (P-Value) Earned ÷ Total Possible Points)
1 Multiple Choice D 1 CCSS.Math.Content.5.NBT.B.7 Number and Operations
in Base Ten 0.57
2 Multiple Choice B 1 CCSS.Math.Content.5.NF.A.1 Number and
Operations— Fractions 0.64
3 Multiple Choice C 1 CCSS.Math.Content.5.NBT.B.6 Number and Operations
in Base Ten 0.86
4 Multiple Choice B 1 CCSS.Math.Content.5.NF.A.2 Number and
Operations— Fractions 0.64
5 Multiple Choice D 1 CCSS.Math.Content.5.G.B.4 Geometry 0.68
9 Multiple Choice D 1 CCSS.Math.Content.5.NF.B.7b Number and
Operations— Fractions 0.45
10 Multiple Choice A 1 CCSS.Math.Content.5.MD.C.3b Measurement and Data CCSS.Math.Content.5.MD.C.3a 0.61 13 Multiple Choice A 1 CCSS.Math.Content.5.NF.B.4a Number and
Operations— Fractions 0.71
14 Multiple Choice B 1 CCSS.Math.Content.5.MD.C.4 Measurement and Data 0.64
15 Multiple Choice D 1 CCSS.Math.Content.5.MD.B.2 Measurement and Data CCSS.Math.Content.5.NF.A.1 0.38
16 Multiple Choice A 1 CCSS.Math.Content.5.MD.A.1 Measurement and Data 0.49
17 Multiple Choice C 1 CCSS.Math.Content.4.NF.C.7 Number and Operations
in Base Ten 0.62
18 Multiple Choice B 1 CCSS.Math.Content.5.NF.B.3 Number and
Operations— Fractions 0.56
23 Multiple Choice D 1 CCSS.Math.Content.5.OA.A.1 Operations and Algebraic
Thinking 0.75
24 Multiple Choice D 1 CCSS.Math.Content.5.G.B.4 Geometry 0.57
25 Multiple Choice C 1 CCSS.Math.Content.4.NF.C.6 Number and Operations
in Base Ten 0.74
26 Multiple Choice C 1 CCSS.Math.Content.5.NBT.B.6 Number and Operations
in Base Ten 0.78
27 Multiple Choice D 1 CCSS.Math.Content.5.NF.B.4a Number and
Operations— Fractions 0.46
28 Multiple Choice C 1 CCSS.Math.Content.5.NBT.A.2 Number and Operations
in Base Ten CCSS.Math.Content.5.OA.A.1 0.62
2016 Mathematics Tests Map to the Standards
THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234 THE STATE EDUCATION DEPARTMENT
Constructed Response Questions:
Book 1
Book 2
Multiple Choice Questions:
Percentage of Students Average P-Value Secondary Who Answered Correctly Points (Average Points Earned Question Type Key Points Standard Cluster Standard(s) (P-Value) Earned ÷ Total Possible Points) Constructed Response Questions: Grade 5 Released Questions Available on EngageNY
29 Multiple Choice D 1 CCSS.Math.Content.4.MD.A.1 Measurement and Data 0.63
30* Multiple Choice
40 Multiple Choice A 1 CCSS.Math.Content.5.NF.B.4b Number and
Operations— Fractions 0.60
41 Multiple Choice C 1 CCSS.Math.Content.5.MD.C.5b Measurement and Data 0.72
42 Multiple Choice A 1 CCSS.Math.Content.5.NF.A.2 Number and
Operations— Fractions 0.50
43 Multiple Choice D 1 CCSS.Math.Content.5.MD.B.2 Measurement and Data 0.52
44 Multiple Choice A 1 CCSS.Math.Content.5.NF.B.6 Number and
Operations— Fractions 0.37
45 Multiple Choice A 1 CCSS.Math.Content.5.OA.A.1 Operations and Algebraic
Thinking 0.74
46 Constructed Response 2 CCSS.Math.Content.5.NBT.A.3 Number and Operations
in Base Ten 1.17 0.59
47 Constructed Response 2 CCSS.Math.Content.5.NF.B.7c Number and
Operations— Fractions CCSS.Math.Content.5.MD.C.5 1.02 0.51
48 Constructed Response 2 CCSS.Math.Content.5.NBT.B.6 Number and Operations
in Base Ten 1.42 0.71
49 Constructed Response 2 CCSS.Math.Content.5.NF.B.5b Number and
Operations— Fractions 0.91 0.45
50 Constructed Response 2 CCSS.Math.Content.5.MD.A.1 Measurement and Data CCSS.Math.Content.5.NBT.B.7 0.80 0.40
51 Constructed Response 2 CCSS.Math.Content.5.OA.A.2 Operations and Algebraic
Thinking 1.14 0.57
52 Constructed Response 3 CCSS.Math.Content.5.NF.A.2 Number and
Operations— Fractions 1.53 0.51
53 Constructed Response 3 CCSS.Math.Content.5.NBT.B.7 Number and Operations
in Base Ten 0.73 0.24
54 Constructed Response 3 CCSS.Math.Content.5.NF.B.6 Number and
Operations— Fractions CCSS.Math.Content.5.NF.A.1 0.61 0.20
55 Constructed Response 3 CCSS.Math.Content.5.MD.C.5b Measurement and Data CCSS.Math.Content.5.MD.A.1 0.60 0.20
*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.
Book 3
