XV. Mathematics, Grade 10

XV. Mathematics, Grade 10

Grade 10 Mathematics Test

The spring 2016 grade 10 Mathematics test was based on standards in the 2011 Massachusetts Curriculum Framework for Mathematics that match content in the grade 9?10 standards from the 2000 Massachusetts Mathematics Curriculum Framework. The standards in the 2011 Framework on the grade 10 test are organized under the five major conceptual categories listed below.

Number and Quantity Algebra Functions Geometry Statistics and Probability The Massachusetts Curriculum Framework for Mathematics is available on the Department website at doe.mass.edu/frameworks/current.html. More information and a list of standards assessable on the spring 2016 test are available at doe.mass.edu/mcas/transition/?section=math10. Mathematics test results for grade 10 are reported under four MCAS reporting categories, which are based on the five Framework conceptual categories listed above. The table at the conclusion of this chapter indicates each item's reporting category, the 2011 Framework standard it assesses, and the 2000 Framework standard it assesses. The correct answers for multiplechoice and short-answer items are also displayed in the table. Test Sessions The grade 10 Mathematics test included two separate test sessions, which were administered on consecutive days. Each session included multiple-choice and open-response items. Session 1 also included short-answer items. Reference Materials and Tools Each student taking the grade 10 Mathematics test was provided with a grade 10 Mathematics Reference Sheet. A copy of the reference sheet follows the final question in this chapter. During Session 2, each student had sole access to a calculator with at least four functions and a square root key. Calculator use was not allowed during Session 1. During both Mathematics test sessions, the use of bilingual word-to-word dictionaries was allowed for current and former English language learner students only. No other reference tools or materials were allowed.

240

Grade 10 Mathematics

Session 1

You may use your reference sheet during this session. You may not use a calculator during this session.

DIRECTIONS This session contains fourteen multiple-choice questions, four short-answer questions, and three open-response questions. Mark your answers to these questions in the spaces provided in your Student Answer Booklet.

ID:311984 C Common

1 A cube has a volume of 725 cubic centimeters. Which of the following is closest to the length of each edge of the cube?

ID:303389 CCF37_nutrition.eps B Common

3 The scatterplot below shows the relationship between the grams of fat and the grams of protein in the sandwiches sold at a deli.

A. 7 centimeters B. 8 centimeters C. 9 centimeters D. 10 centimeters

ID:300987 A Common

2 Which of the following is equivalent to the expression below? (3m2 4) (8m2 5m)

A. 11m2 5m 4 B. 7m2 13m 4 C. 11m2 m D. 7m2 3m

Grams of Protein

Fat and Protein in Deli Sandwiches

24 22 20 18 16 14 12 10 8 6 4 2

0 2 4 6 8 10 12 14 16 18 20 22 24

Grams of Fat

Based on the line of best fit for the scatterplot, which of the following is closest to the expected number of grams of fat in a deli sandwich that has 10 grams of protein?

A. 2 grams B. 8 grams C. 13 grams D. 16 grams

241

Mathematics

ID:281596 B Common

4 Which values of x and y make the system of equations below true? 2x 2 y 5 21 3x 2 y 5 23

A. x 5 24; y 5 27 B. x 5 22; y 5 23 C. x 5 2; y 5 5 D. x 5 4; y 5 15

ID:306521 D Common

5 Which of the following is equivalent to the expression below? 23(x 2 2)

A. 23x 2 2 B. 23x 1 2 C. 23x 2 6 D. 23x 1 6

Session 1

ID:303268 B Common

6 A total of 29,183 votes were cast in an election. The winning candidate in the election received 61.3% of the votes. Which of the following is closest to the number of votes received by the winning candidate?

A. 21,000 B. 18,000 C. 15,000 D. 9,000

ID:294173 A Common

7 The sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

The lengths of two sides of a triangle are 8 inches and 13 inches. Which of the following represents x, the possible length in inches of the remaining side of the triangle?

A. 5 B. 5 C. x D. x

x 21 x 21 5 or x 21 5 or x 21

242

Mathematics

Session 1

ID:293994 D Common

8 What is the value of the expression below? 80 (6 (3 5) ? 2)

A. 8 B. 5 C. 10 D. 40

ID:313940 A Common

9 The height of right circular cylinder P is twice the height of right circular cylinder Q. The radii of the cylinders are of equal length. What number times the volume of cylinder Q is equal to the volume of cylinder P?

A. 2 B. 4 C. 6 D. 8

ID:313799 REERAY149_FGH.eps C Common

10 Point G is shown on the coordinate grid below.

y

7

6

5

4

3

2

1

x

?7 ?6 ?5 ?4 ?3 ?2 ?1 0 1 2 3 4 5 6 7 ?1

?2

?3

(7, ?3)G

?4

?5

?6

?7

Point H is located in the shaded region of the grid. Which of the following could be the midpoint of GH ?

A. (1,1) B. (2, 0) C. (3,1) D. (4, 0)

243

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download