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The Chapter 12 Test, Form 2B, is designed to assess students' understanding and application of key mathematical concepts. This form allows educators to evaluate students on a range of topics, including probability, counting principles, and experimental outcomes. Students will encounter practical questions that require them to draw tree diagrams or utilize the Fundamental Counting Principle to arrive at the correct answers. They will need to think critically, as questions vary from selecting outcomes related to days and months to calculating probabilities based on survey results. Each question demands careful consideration, inviting students to apply what they have learned in real-world contexts. The test also encompasses diverse scenarios, such as evaluating experimental probabilities related to everyday activities, like transportation and sports performance. This holistic approach helps students reinforce their mathematical knowledge while preparing for more advanced concepts in their future studies.

Form Sample

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

 

NAME ________________________________________ DATE ______________ PERIOD

_____

12

Chapter 12 Test, Form 2B

SCORE

_____

 

 

Write the letter for the correct answer in the blank at the right of each question.

For Questions 1–4, draw a tree diagram or use the Fundamental Counting Principle to find the number of possible outcomes.

1.A month of the year and a day of the week are picked at random.

A. 19

B. 48

C. 84

D. 96

1.

2.A number cube is rolled, and then a nickel and a dime are tossed.

F. 8

G. 10

H. 12

J. 24

2.

3.There are 5 choices for each of 6 multiple-choice questions on a quiz.

A. 30

B. 15,625

C. 7,776

D. 11

3.

4.A day of the week is picked at random and a number cube is rolled.

F. 84

G. 42

H. 13

J. 2

4.

5.TRANSPORTATION In the last 14 days, Xavier’s bus has been late 5 times. What is the experimental probability that the bus will be late tomorrow?

1

1

C.

5

D.

5

5.

A. ——

B. ——

——

——

19

14

 

19

 

14

 

6.BASEBALL In practice, Jason made a hit 8 out of 34 times at bat. What is the experimental probability that he will make a hit?

F.

8

4

1

J.

1

6.

——

G. ——

H. ——

——

 

17

17

8

 

34

 

For Questions 7 and 8, use the following information. In a bag, there are 3 red marbles, 5 white marbles, and 7 blue marbles. Once a marble is selected, it is not replaced. Find each probability.

7.P(two red marbles)

1

C.

1

 

A. ——

——

 

5

 

25

 

1

D.

12

7.

B. ——

——

35

 

35

 

8.P(a blue marble and then a white marble)

F.

7

 

173

 

——

H. ——

 

 

45

 

210

 

 

1

J.

4

8.

G. ——

——

 

6

 

5

 

For Questions 9 and 10, use the following information. A number cube is rolled and a card is drawn from a deck of twelve cards numbered 1 to 12. Find each probability.

9.P(5 on the number cube and 8 on the card)

1

1

 

1

 

1

 

 

 

A. ——

B. ——

C.

——

D.

——

9.

 

 

4

306

 

9

 

72

 

 

 

10. P(greater than 2 on the number cube and even on the card)

 

 

 

 

2

1

 

1

 

4

 

 

 

F. ——

G. ——

H.

——

J.

——

10.

 

 

3

2

 

3

 

51

 

 

 

Chapter 12

 

49

 

GLENCOE CALIFORNIA MATHEMATICS, GRADE 7

ASSESSMENT

 

NAME ________________________________________ DATE ______________ PERIOD _____

12

Chapter 12 Test, Form 2B (CONTINUED)

DRINKS For Questions 11 and 12, use the results of a survey of 60 people shown at the right.

Favorite Fruit Juices

orange

21

 

 

grapefruit

6

 

 

pineapple

10

 

 

apple

15

 

 

tomato

8

 

 

11.What is the probability that a person’s favorite juice is apple?

1

B. 15

C.

3

A. ——

——

4

 

 

20

12.What is the probability that a person’s favorite juice is

F.

1

H. 10

——

 

6

 

 

G.

5

J.

1

——

——

 

6

 

2

1

D. ——11. 5

NOT pineapple?

12.

13.BASKETBALL This season, Sue has made 75% of her free throw shots. What

is the probability that she will make her next three free throw shots?

A.

36

C.

27

 

——

——

 

 

169

 

64

 

B.

15

D.

32

13.

——

——

 

37

 

49

 

14.To evaluate the satisfaction of its customers, a local car dealer selects every tenth customer on its alphabetic customer list. Describe the sample.

F. voluntary response

G. convenience

 

H. stratified random

 

J. systematic random

14.

ELECTIONS For Questions 15 and 16, use the following information. As voters leave the polling place, 250 voters are surveyed at random. Seventy-five voters said they voted for the incumbent mayor.

15.What percent said they voted for the incumbent?

A. 30%

B. 45%

C. 50%

D. 75%

15.

16.If 1,400 people vote, how many do you think will vote for the incumbent? F. 420 people

G. 630 people

 

 

 

 

 

 

H. 700 people

 

 

 

 

 

 

J. 1,050 people

 

 

16.

 

 

 

 

 

 

Bonus Each arrangement of the letters in the word BONUS is

B:

 

 

 

placed on a piece of paper. One paper is selected at

 

 

 

 

 

random. What is the probability that the word ends in OUN?

Chapter 12

50

GLENCOE CALIFORNIA MATHEMATICS, GRADE 7

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Document Specifications

Fact Name Detail
Test Form Chapter 12 Test, Form 2B
Copyright This test is copyrighted by Glencoe/McGraw-Hill.
Structure The test includes multiple-choice questions and probability problems.
Number of Questions There are 16 questions on this test form.
Probability Questions Questions 5, 6, 7, 8, 9, and 10 focus on probability concepts.
Survey Data Questions 11 and 12 utilize survey data from 60 respondents.
Sports Reference Questions 13 and 14 concern basketball and customer satisfaction surveys.
Mathematical Principles The test includes concepts like tree diagrams and the Fundamental Counting Principle.
Random Sampling Question 14 describes a systematic random sampling method.

Steps to Filling Out Chapter 12 Test

Next, you'll complete the Chapter 12 Test form by answering all questions and providing your name, date, and period. Ensure that you carefully follow the instructions for each question and record your answers clearly in the designated spaces.

  1. Write your name on the blank line at the top.
  2. Fill in the date on the next blank space.
  3. Indicate your period in the space provided.
  4. For questions 1 to 4, determine the number of possible outcomes and write the letter of the correct answer in the blank next to each question.
  5. For question 5, calculate the experimental probability based on the data provided and write the correct answer letter in the blank.
  6. For question 6, determine Jason's experimental probability of making a hit and write the corresponding letter in the blank.
  7. In questions 7 and 8, read the information about the marbles. Calculate the required probabilities and write the correct answer letters in the blanks.
  8. For questions 9 and 10, calculate the probabilities based on the results from rolling a number cube and drawing a card. Write down your answers in the blanks.
  9. For questions 11 and 12, use the survey results to find the probabilities requested. Enter the corresponding answer letters in the blanks.
  10. In question 13, calculate Sue's probability of making her next three free throw shots and write that letter in the blank.
  11. For question 14, describe the sample method and write the correct letter in the blank.
  12. For questions 15 and 16, analyze the data to determine percentages and estimations of voters and write the answer letters in the blanks.
  13. If completing the bonus question, calculate the probability that the word "BONUS" ends in "OUN" and provide that answer.

More About Chapter 12 Test

What is the purpose of the Chapter 12 Test form?

The Chapter 12 Test form is designed to assess students' understanding of key concepts in probability and counting principles. It includes a range of questions that require students to think critically and apply their knowledge to solve problems. This helps educators gauge student progress and pinpoint areas that may require further instruction.

How should students complete the test?

Students are instructed to write their name, date, and period at the top of the test form. They should read each question carefully and write the letter corresponding to the correct answer in the blank provided. For some questions, students may need to draw tree diagrams or utilize counting principles to determine the number of possible outcomes.

What types of questions can be found on the test?

The test includes a variety of question types, including multiple-choice questions related to counting outcomes, probabilities involving events, and experimental probabilities based on data from real-life situations, such as transportation and sports. It also contains questions about survey data and sampling methods.

How is the score calculated for the Chapter 12 Test?

Scores are calculated based on the number of correct answers provided by the student. Each correct response corresponds to one point. Educators can easily tally the total score at the end of the test to evaluate student performance and understanding of the material covered in Chapter 12.

Where can teachers find additional resources for grading and analysis?

Teachers can access additional resources, including answer keys and grading rubrics, from the textbook's accompanying teacher's guide or from educational websites that provide support materials. These resources can assist in providing feedback to students and guide future lessons based on test results.

Common mistakes

  1. Inaccurate Name Entry: Individuals often forget to write their name clearly or omit it entirely, which can complicate the grading process.

  2. Incorrect Date or Period: Entering the wrong date or period can lead to confusion regarding the test's timing and submission.

  3. Failure to Draw Required Diagrams: For questions 1–4, not drawing a tree diagram or applying the Fundamental Counting Principle may result in inaccurate responses.

  4. Misidentifying Answer Choices: Mistakes can occur when people write the wrong letters next to their answers, making it difficult for instructors to assess their understanding.

  5. Neglecting to Review for Completeness: Some test-takers fail to check that all questions have been answered, which can lead to lost points.

Documents used along the form

Alongside the Chapter 12 Test form, various documents and forms serve essential roles in effectively managing student assessments in mathematics. These documents not only assist in gathering data but also provide a framework for evaluation and analysis. Below is a list of other important forms that are frequently utilized.

  • Assessment Rubric: This document outlines the criteria for evaluating student responses. It provides a detailed breakdown of expectations, including clarity, accuracy, and thoroughness, allowing teachers to assess and assign scores systematically.
  • Student Answer Sheet: Used by students to record their answers, this sheet simplifies the grading process for instructors. By consolidating student responses in one location, it also facilitates easier data entry and analysis later on.
  • Answer Key: This key provides the correct answers to the test questions. It serves as a critical tool for teachers during the grading process and for students seeking to understand their mistakes.
  • Probability Worksheets: Often accompanying assessments, these worksheets feature additional practice problems focusing on probability concepts. They support skill reinforcement both before and after the test.
  • Feedback Form: A document designed for teachers to provide comments and suggestions to students. It allows educators to highlight areas of strength and specific skills that may need improvement.
  • Data Analysis Form: This form is used to compile and analyze student performance data. It helps educators identify trends, areas for improvement, and instructional needs based on overall test performance.
  • Narrative Report: A comprehensive overview of student performance on the test, combining qualitative insight along with quantitative data. This report can guide future instructional decisions and assessments.
  • Review Sheet: Distributed to students prior to the test, this sheet summarizes key concepts and formulas to be covered. It serves as a study guide, reinforcing learning objectives.
  • Retake Request Form: This document allows students to formally request a retest on the Chapter 12 Test based on specific criteria being met, such as extenuating circumstances or demonstrated effort to improve.

By using these additional forms and documents in conjunction with the Chapter 12 Test, educators can enhance the overall assessment process. Each document plays a unique role in ensuring clarity, fairness, and insight within the educational setting.

Similar forms

One document that is similar to the Chapter 12 Test form is a quiz. A quiz typically assesses students' understanding of a specific topic, much like the Chapter 12 Test. Both documents present questions that require students to demonstrate their knowledge, but quizzes may be shorter and cover less material. The structure of multiple-choice questions is common in both documents, making it easy for students to select and record their answers clearly.

Another comparable document is a worksheet. Worksheets often include a mix of problems and questions designed to reinforce lessons learned in class. Similar to the Chapter 12 Test, worksheets may incorporate various formats, such as multiple-choice questions, fill-in-the-blank, and short answer items. They provide students with practice opportunities, allowing them to apply critical thinking skills and solidify their understanding of mathematical concepts.

Practice tests also share similarities with the Chapter 12 Test form. These tests mimic the format and content of the actual assessments students will encounter, helping them prepare for upcoming exams. Like the Chapter 12 Test, practice tests may contain a variety of question types, including calculating probabilities or analyzing data. This allows students to familiarize themselves with the testing experience, reducing anxiety and boosting confidence.

A standardized test is another type of document that resembles the Chapter 12 Test. Standardized tests often evaluate students on a broader scale and follow specific formats for assessing knowledge. Although they may cover a wide array of subjects, many of the questions require similar skills, such as problem-solving and analytical reasoning. Both documents emphasize the importance of clear answer documentation, as well as the ability to interpret and analyze data effectively.

Similar to these, a diagnostic test serves as a tool to gauge students' current understanding and identify areas that need improvement. Diagnostic tests are designed to inform teachers regarding the next steps in instruction, similar to how the Chapter 12 Test assesses students' grasp of chapter-specific content. Both forms aim to provide feedback that helps shape future teaching methods and learning paths.

Finally, a final exam can be closely associated with the Chapter 12 Test. Final exams typically cover an entire course and assess cumulative knowledge, while the Chapter 12 Test focuses on one chapter. Regardless, both documents include a variety of questions that test students’ comprehension. The format of final exams could also be multiple-choice, requiring students to think critically and apply their knowledge under timed conditions, just like the Chapter 12 Test.

Dos and Don'ts

When filling out the Chapter 12 Test form, consider the following recommendations to ensure accurate submissions:

  • Carefully fill in your name, date, and period at the top of the form. This information is crucial for assignment tracking.
  • Review each question thoroughly before selecting your answer. Clarity can help avoid mistakes, especially in a test environment.
  • Use a pencil to mark your answers, as this allows for easy corrections if mistakes are made.
  • Pay attention to the instructions for questions that ask for diagrams or additional work, as these are necessary for complete credit.

At the same time, there are common pitfalls to avoid:

  • Do not rush through the questions; taking your time can lead to more accurate responses.
  • Avoid leaving questions blank without any attempts. Guessing can sometimes yield unexpected results!
  • Do not use pen to fill out the form. Changes can be difficult to manage, and they may result in loss of points.
  • Refrain from overwriting your answers. Clean submissions reflect better organization and care.

Misconceptions

  • Misconception 1: The Chapter 12 Test form is only applicable for math assessments.

    This test form includes various topics such as probability, counting principles, and statistics, making it relevant for a broad range of assessments in mathematics, not just for limited topics.

  • Misconception 2: Students can skip questions if they don’t know the answer.

    While students may feel tempted to move on, it’s beneficial to attempt every question. Partial credit can often be awarded for demonstrated understanding, even if the final answer is incorrect.

  • Misconception 3: There is only one correct answer to each problem.

    Some problems might allow for multiple approaches. Utilizing different methods may provide unique insights, even if the final answers differ.

  • Misconception 4: The format of the test is too rigid and eliminates creativity.

    Although the test follows a standardized format, students are encouraged to think critically and creatively to solve problems using various strategies.

  • Misconception 5: The test solely consists of multiple-choice questions.

    While there are multiple-choice items, the test also includes open-ended questions where students need to show their work, particularly in problems involving calculations and explanations.

  • Misconception 6: This test does not help in real-life applications.

    Understanding the concepts tested is crucial for real-life situations, such as making informed decisions based on statistical data and probabilities encountered daily.

Key takeaways

Filling out and using the Chapter 12 Test form effectively requires careful attention. Here are key takeaways to keep in mind:

  • The form includes sections for personal identification, such as name, date, and period.
  • Always write your answers in the designated blank spaces next to each question.
  • Questions 1–4 require you to apply tree diagrams or the Fundamental Counting Principle for outcome calculations.
  • Be sure to clearly indicate your answers with letters corresponding to the correct options.
  • Review experimental probability questions carefully as they require specific calculations based on previous occurrences.
  • For questions involving marble selection, remember that selected marbles are not replaced, affecting subsequent probabilities.
  • Understand the type of survey feedback being analyzed, especially when interpreting poll results regarding preferences.
  • Probability questions may include context, such as previous free throw success rates or voter surveys, which guide your calculations.