2021 NSCAS Grade 8 Classroom Assessment Mathematics

Nebraska Department of Education 2021

Student’s Name:

2021 NSCAS Grade 8 Classroom Assessment

Mathematics

Copyright © 2021 by the Nebraska Department of Education. No part of this publication may be reproduced, copied or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the Nebraska Department of Education.

2021

Grade 8 - Classroom AssessmentMathematics

MATHEMATICS - CLASSROOM ASSESSMENT

5 STOP.

Directions:

On the following pages of your booklet are questions for the Grade 8 Nebraska Student-Centered Assessment System Mathematics (NSCAS-M) Classroom Assessment.

Read these directions carefully before beginning this classroom assessment.

This classroom assessment will include several different types of questions. Multiple choice questions will ask you to select an answer from among four choices. Multiple select questions will ask you to select multiple correct answers from among five or more answer choices. For some questions, there may be two parts, Part A and Part B, where each part has a multiple choice or multiple select question. These questions will be found in your classroom assessment.

For all questions:• Read each question carefully and choose the best answer.• You may use scratch paper to solve the problems.• The Mathematics Reference Sheet is provided in the back of the booklet. You may refer

to this page at any time during the assessment. • You may use a calculator ONLY for questions 1–6. You may NOT use a calculator for

any other questions on this classroom assessment. • Be sure to answer ALL the questions.

When you come to the word STOP at the end of Part 1, you have finished Part 1 of the Grade 8 NSCAS Mathematics Classroom Assessment. You may review ONLY Part 1 to check your answers. Your calculator must be collected before you can continue with Part 2. When your calculator has been collected, and your proctor has given you permission, you may move on to Part 2.

When you are finished with Part 2, you may review ONLY Part 2 to check your answers.

MATHEMATICS - CLASSROOM ASSESSMENT PART 1

6 Go on to the next page.

1. Part A

What is the value of x in 12x − 11 = 2x + 5 ?

A. − 1.6

B. − 0.6

C. 0.6

D. 1.6

Part B

What is the value of m in 3 (m + 4) = m − 8 ?

A. − 10

B. − 5

C. 2

D. 4

2. Mr. Smith assigned Lindsey 72 topics to research. After Lindsey researched 1 _ 8 of the topics, Mr. Smith assigned two students to help. The remaining topics were distributed equally among the 3 students to research.

How many topics did Lindsey research altogether?

A. 9

B. 21

C. 27

D. 30

PART 1 MATHEMATICS - CLASSROOM ASSESSMENT


3. Use the graph to answer the question.

What is the length of segment AB?

A. 5 units

B. 7 units

C. 10 units

D. 14 units

4. Jeff needs a cube-shaped box to ship a ball. The ball has a volume of 288π cubic inches. He wants the ball to fit tightly inside the box.

What are the dimensions, rounded to the nearest tenth of an inch (in.) , of the box needed to ship the ball?

A. 6 in. by 6 in. by 6 in.

B. 6.6 in. by 6.6 in. by 6.6 in.

C. 12 in. by 12 in. by 12 in.

D. 13.2 in. by 13.2 in. by 13.2 in.


5. The length of side g is 16 inches, and the length of side j is 30 inches.

What is the approximate length of side h?

A. 5.3 inches

B. 14.0 inches

C. 25.4 inches

D. 34.0 inches

6. Joe puts water in a can shaped like a cylinder until it is 2 _ 3 full. The can has a diameter of 10 inches and a height of 9 inches.

What is the volume of the water in the can? Use 3.14 for π .

A. 471 cubic inches

B. 636 cubic inches

C. 707 cubic inches

D. 1,884 cubic inches

8 STOP.

THIS IS THE END OF THECALCULATOR SECTION OF THE TEST

You may NOT use a calculator for any other questions on this test.

Raise your hand and notify your Examiner or Proctor that you are ready to turn in your calculator.

Once your Examiner has collected your calculator and given you permission, you may go on to the non‐calculator section of the test.

78

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45

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12

3+

0.

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On

Offx

SP17M06OP01 6 STOP.

THIS IS THE END OF THECALCULATOR SECTION OF THE TEST

You may NOT use a calculator for any other questions on this test.

Raise your hand and notify your Examiner or Proctor that you are ready to turn in your calculator.

Once your Examiner has collected your calculator and given you permission, you may go on to the non‐calculator section of the test.

78

9÷

45

6–

12

3+

0.

=

CCE

On

Offx

SP17M06OP01 6 STOP.

THIS IS THE END OF THECALCULATOR SECTION

You may NOT use a calculator for any other questions on this assessment.

Raise your hand and notify your Test Administrator or Proctor thatyou are ready to turn in your calculator.

Once your Proctor has collected your calculator and given youpermission, you may go on to the non-calculator section of the assessment.



7. What is the value of √ _

196 ?

A. 7

B. 14

C. 49

D. 98

8. Which number is equal to 2 × 10−4 ?

A. − 20,000

B. − 80

C. 0.00008

D. 0.0002

9. What is the value of the expression 0.34 ?

A. 0.0012

B. 0.0081

C. 1.2

D. 8.1



10. Which equation represents 8 less than 3 times the square of a number is 16 ?

A. 8 − 3x2 = 16

B. 3x2 − 8 = 16

C. 8 − (3x) 2 = 16

D. (3x) 2 − 8 = 16

11. Which list is ordered from LEAST to GREATEST?

A. − 7.6, − 76 _ 12 , √ _

18 , 3.99

B. − 76 _ 12 , −7.6, 3.99, √ _

18

C. − 7.6, − 76 _ 12 , 3.99, √ _

18

D. − 76 _ 12 , − 7.6, √ _

18 , 3.99

12. A laser tag business charges $99 for a party package plus $6 per person for equipment. Josiah can spend a maximum of $175 .

Which equation or inequality can Josiah use to determine the number of people who can play laser tag?

A. 99 + 6x = 175

B. 99 + 6x ≤ 175

C. 99x + 6 = 175

D. 99x + 6 ≤ 175



13. Use the figure to answer the question.

Lines a and b are parallel. Which two angles are alternate exterior angles?

A. ∠1 and ∠3

B. ∠3 and ∠6

C. ∠3 and ∠8

D. ∠4 and ∠5



14. Use the table to answer the question.

Data Table

x 1 2 3 4 5 6

y 25 17 8 4 2 0

Which scatter plot accurately represents the data table?

A. B.

C. D.



15. Use the figure to answer the question.

1 23 4

5 67 8

If the m∠8 = 93° , which statement is true?

A. The m∠1 = 87° because ∠8 and ∠1 are alternate exterior angles.

B. The m∠1 = 93° because ∠8 and ∠1 are alternate exterior angles.

C. The m∠4 = 87° because ∠8 and ∠4 are corresponding angles.

D. The m∠4 = 93° because ∠8 and ∠4 are alternate interior angles.

16. Which equations have infinitely many solutions? Select all that apply.

A. − 2x + 12 − 2x = − 4x + 12

B. − 6x + 8 = − 2 ( 3x + 8 )

C. 2x − 3 = − 2x − 3

D. 3x + 5 = 3x − 5

E. 5x − 6 = 6 − 5x

F. 8x − 3 = 8x − 3



17. The graph shows the distance a person walked over time.

What does the rate of change of the graph represent?

A. The person walked a total of 3 miles.

B. The person walked 1 mile in 0.05 minutes.

C. The person walked 0.05 miles in 1 minute.

D. The person walked for a total of 60 minutes.



18. Wendell took his car to a garage to be fixed. The garage charged $55.75 for the parts and $62.00 an hour for labor. Wendell received a discount of $10.00 because he has visited the garage 4 times. Wendell uses this information to write the equation shown.

y = 62x + 55.75 − 10

What do the variables in the equation represent? Select all that apply.

A. The x represents the amount of time it will take to fix the vehicle.

B. The x represents the number of parts the garage will use to fix the vehicle.

C. The x represents the total amount of money the garage will charge Wendell.

D. The x represents the number of times Wendell brought his car to the garage.

E. The y represents the amount of time it will take to fix the vehicle.

F. The y represents the number of parts the garage will use to fix the vehicle.

G. The y represents the total amount of money the garage will charge Wendell.

H. The y represents the number of times Wendell brought his car to the garage.



19. The graph shows the prices of cheeseburgers that were rated on a scale of 0 to 10 by food critics. A line of best fit is shown.

Part A

What is the BEST prediction of cost for a cheeseburger with a rating of 8?

A. $4

B. $5

C. $7

D. $8

Part B

What is the BEST estimate of the rating of a cheeseburger that would predict a cost of $6?

A. 4

B. 5

C. 9

D. 10


20. Use the graphic to answer the question.

Which transformation transformed polygon GHIJKL into polygon G ‘ H ‘ I ‘ J ‘ K ‘ L ‘ ?

A. reflection over the x -axis

B. reflection over the y -axis

C. rotation 90° clockwise about the origin

D. rotation 180° counterclockwise about the origin

18 STOP.

Mathematics Grade 7 and Grade 8 Reference SheetMathematics Grade 7 and Grade 8 Reference Sheet

Shape Area Circumference Key

Circle � = ��2 � = �� = 2�� = base � = length

Triangle � = 12�ℎ

Perimeter ℎ = height � = width

Rectangle � = �� = 2� + 2� = 2(� + �) � = area of base � = side length

Trapezoid � = 12ℎ(�1 + �2) � = height of triangular prism

Parallelogram � = �ℎ �1, �2, �3 are the lengths of each side of the triangular base

Square � = �2 � = diameter � = radius

Use 3.14 for �.

Standard Units Metric Units

Conversions – Length

1 yard (yd) = 3 feet (ft) = 36 inches (in.) 1 meter (m) = 100 centimeters (cm)

1 mile (mi) = 1,760 yards (yd) = 5,280 feet (ft) 1 meter (m) = 1,000 millimeters (mm) 1 kilometer (km) = 1,000 meters (m)

Conversions – Volume

1 cup = 8 fluid ounces (fl oz) 1 liter (l) = 1,000 milliliters (ml)

1 pint (pt) = 2 cups 1 liter (l) = 1,000 cubic centimeters (cu. cm)

1 quart (qt) = 2 pints (pt)

1 gallon (gal.) = 4 quarts (qt)

Conversions – Weight/Mass 1 pound (lb) = 16 ounces (oz) 1 gram (g) = 1,000 milligrams (mg)

1 ton = 2,000 pounds (lb) 1 kilogram (kg) = 1,000 grams (g)

3 – Dimensional Shape Volume Surface Area

Rectangular Prism � = ��ℎ = �ℎ �� = 2�� + 2�ℎ + 2�ℎ = 2� + 2�� + 2�ℎ

Triangular Prism � = 12��ℎ = �ℎ

�� = �ℎ + (�1 + �2 + �3)� = 2� + (�1 + �2 + �3)�

Cone � = 13��2ℎ Percent Change

% change = ��

Pythagorean Theorem

�2 = �2 + �2

Cylinder � = ��2ℎ

Sphere � = 43��3

2021 NSCAS Grade 8 Classroom Assessment Mathematics

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