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New York State administered the Mathematics Tests in May 2022 and is now making approximiately 75% of the questions from these tests available for review and use.

New York State Testing Program

Grade 8

Mathematics Test

Released Questions

2022
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 2022 ExamsBackground

Understanding Math

Questions

Multiple

-Choice Questions Short -Response Questions

Extended

-Response Questions New York State PÍ´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 it is possible to develop future tests, some content must remain secure. This document is

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. 8

Developed and published under contract with the New York State Education Department by Questar Assessment Inc., 5550 Upper 147th

Street West, Minneapolis, MN 55124. Copyright © 2022 by the New York State Education Department.

Session 1

CONVERSIONS

FORMULAS

Grade 8 Mathematics Reference Sheet

Parallelogram

1 inch = 2.54 centimeters

1 meter

= 39.37 inches

1 mile

= 5,280 feet

1 mile

= 1,760 yards

1 mile

= 1.609 kilometers1 kilometer = 0.62 mile

1 pound

= 16 ounces

1 pound

= 0.454 kilogram

1 kilogram

= 2.2 pounds 1 ton = 2,000 pounds1 cup = 8 fluid ounces

1 pint

= 2 cups

1 quart

= 2 pints

1 gallon

= 4 quarts

1 gallon

= 3.785 liters

1 liter

= 0.264 gallon

1 liter

= 1,000 cubic centimeters A = bh

Triangle

A = 1 bh 2

General PrismsV = Bh

Circle

CircleA = r

2 C = d or C = 2r

CylinderV = r

2 h

SphereV = 4 r

3

ConeV = 1 r

2 h

Pythagorean Theorema

2 + b 2 = c 2 3 3 Which graph represents a function that is increasing? A B C D 1 GO ON

Session 1

What is the solution to the equation shown below?

3,4}-

A-{ 3,5

B-{ 2,2

C-{í µí±œí µ

D-{í µí±œí µ

There are two boxes of cereal in the shape of rectangular prisms on a sh elf. The d imensions of each box of cereal are listed below. Box A has a height of 25 centimeters, a length of 20 centimeters, and a width of 9 centimeters. Box B has a height of 25 centimeters, a length of 19 centimeters, and a width of 6 centimeters. What is the difference in volume, in cubic centimeters, between the two boxes of cereal 1,650 3,900 4,500 7,350 2 3

Page 3

Session 1

GO ON Two intersecting lines, l and t, are shown in the diagram below.

If y = 115, what is the value of x?

A40 B50 C65 D115 Triangle P undergoes a sequence of transformations resulting in triangle

Q. Which

s equence of transformations could be used to show that triangle Q is simi lar but not congruent to triangle P? a translation followed by a dilation 5 6

Page 5

Session 1

GO ON

A scatter plot is shown below.

Which statement bbeesstt explains why these data can or cannot be modeled using a AA line would not be appropriate because there is a negative association. BA line would not be appropriate because the points follow a nonlinear pa ttern. CA line would be appropriate because there is a positive association. DA line would be appropriate because the points follow a nonlinear patter n. What is the solution, if any, to the equation ?3}-í µí±œí µ -{ 0 -{ 6

There is no solution.

7 8

Page 6

GO ON

Session 1

Which expression is equivalent to ?0 202-

A-

Bí µí±œí µ-

C D Alex opened a savings account with an initial deposit of . Each month, he deposits the s ame amount of money. He uses the equation to determine , the total amount of money in his savings account in months. What is the unit rate and what is the meaning of the unit rate? 720

5 20=1 2-

; the amount of money Alex deposits each month12 ; the amount of money Alex deposits each month20 ; the amount of money Alex initially deposited12 ; the amount of money Alex initially deposited20

What is the solution to the equation shown below?

((6í µí±§í µ

Aí µí±§í µ=19

5

Bí µí±§í µ=27

5

Cí µí±§í µ=(

Dí µí±§í µ=(

15 16

Page 10

GO ON

Session 1

The graph of a function is shown on the coordinate plane below. Between which two values of is the function nonlinear and increasing?0

A and --í µí±¦í µ

B and -í µí±¦í µí µí±œí µ

C and í µí±œí µ

D and

19

Session 1

GO ON A triangle with side lengths a, b, and c is shown below. Which statement about the side lengths must be true?

Aa + b > c

Bb + c < a

Ca + b < c

Da + c < b

24
GO ON

Session 1

There are two mechanics who work on cars. For each mechanic, the relatio nship between , the number of hours worked, and , the total cost, in dollars, is described below. The equation represents the total cost charged by Mechanic A for the number of hours worked. The graph shown below represents the total cost charged by Mechanic B fo r the number of hours worked. Based on the information, which statement is true? 02 2 0 AMechanic A charges more per hour than Mechanic B. BMechanic B charges more per hour than Mechanic A. CMechanic A charges more per hour than Mechanic B. DMechanic B charges more per hour than Mechanic A. 26
GO ON

Session 1

Grade 8

2022 Mathematics TestSession 1 April 26-28, 2022

8

Developed and published under contract with the New York State Education Department by Questar Assessment Inc., 5550 Upper 147th

Street West, Minneapolis, MN 55124. Copyright © 2022 by the New York State Education Department.

Session 2

CONVERSIONS

FORMULAS

Grade 8 Mathematics Reference Sheet

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