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Practice Test Resource Material

Mathematics

Grade 8

2NECAP_Released-2005_Grade-8_Math

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NECAP Practice TestGrade 8

Mathematics


Non-Calculator Short-Answer Item (2 points)

ID:199795 Common

y Anna and Barb practiced serving a volleyball over the net.

• Anna served the ball over the net 18 out of 25 times.

• Barb served the ball over the net 75% of the time.

Use fractions, decimals, or percents to show or explain which girl had the greater rate of success in serving the ball over the net.

Scoring Guide

Score Description

2Student shows or explains that Barb was more successful using fractions, decimals, or percents.

1Student shows some correct strategy by correctly converting a percent to a fraction or decimal or a fraction to a percent or decimal.

0Response is incorrect or contains some correct work that is irrelevant to the skill or concept being measured.

Blank No response.

Sample Responses:Answers will vary; some explanations follow.Barb had a higher rate of success because

1825

72 75 72= >% % % and .

OR

75 75100

72100

75100

72100

% = = > and 1825

and .

OR

75 0 75 1825

0 72 0 75 0 72% . . . .= = > and and .

* All students were provided the same amount of space in which to write their answers. For the purposes of this document, extraneous white space was removed from each student work sample to save space.



Mathematics

Sample 2-Point Response


Mathematics





Mathematics

Calculator-Active Short-Answer Item (2 points)

ID:206241 Common

u Sean and Barry are participating in a 30-mile bike race. Sean averages 20 miles per hour and Barry averages 15 miles per hour. How many miles will Barry be from the fi nish line when Sean fi nishes the race? Show your work or explain how you know.

Scoring Guide

Score Description

2 Correct answer, 7.5 (miles), with explanation or work.

1Correct answer.ORExplanation or work shows some correct strategy for solving the problem.


Blank No response.

Sample Response:Sean will take 30 ÷ 20 = 1.5 hours to complete the race. After 1.5 hours, Barry will have traveled1.5 × 15 = 22.5 miles. So Barry will be 30 – 22.5 = 7.5 miles from the fi nish.ORSean will take 30 ÷ 20 = 1.5 hours to complete the race. Barry will take 30 ÷ 15 = 2 hours to complete the race. 2 hours – 1.5 hours = 0.5 hours. 15 mph × 0.5 = 7.5 miles (or 15 ÷ 2 = 7.5 miles).



Mathematics





Mathematics

Sample 1-Point Response A

Sample 1-Point Response B


Mathematics


Calculator-Active Constructed-Response Item (4 points)

ID:226305 Common

f A scientist recorded the growth of a certain bacteria in the table below.

Time Elapsed(in minutes)

Number of Bacteria

0 26

15 52

30 104

45 208

60 416

a. What is the number of bacteria when the time elapsed is 75 minutes?

b. Explain the relationship between the time elapsed and the number of bacteria.

c. What is the number of bacteria when the time elapsed is two hours? Show your work or explain howyou know.



Mathematics

Calculator-Active Constructed-Response Item (4 points)

Scoring Guide

Score Description

4 4 points.

3 3 points.

2 2 points.

1

1 point.OR Student shows minimal understanding of specifi c cases and generalization of patterns.


Blank No response.

Training Notes:Part a: 1 point for correct answer (832)

Part b: 1 point for correct explanation

Part c: 2 points for correct answer (6656) and explanation OR 1 point for correct answer only or for correct strategy or explanation

Sample Response:Part a: 416 × 2 = 832Part b: Sample explanation: The number of bacteria doubles every 15 minutes.Part c: 416 × 24 = 6656; there will be 6656 bacteria in two hours. Student may show additional entries

(832, 1664, 3328, 6656) or may multiply 416 by 16 or 416 by 2 four times.



Mathematics





Mathematics

Sample 3-Point Response A


Mathematics


Sample 3-Point Response B



Mathematics


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