Tashi Scored 84 Points On A Test Made Up Of 10 Eight-point Short Answer Questions And 8 Five-point Multiple Choice Questions. If No Partial Credit Was Given And He Missed 2 Short Answer Questions, How Many Questions Did Tashi Miss On The Whole Test?A.
Introduction
In this article, we will delve into the world of mathematics and explore a real-life scenario involving a student named Tashi. Tashi scored 84 points on a test consisting of 10 eight-point short answer questions and 8 five-point multiple choice questions. However, he missed 2 short answer questions, and we are left wondering how many questions he missed in total. To answer this question, we will need to carefully analyze the given information and apply mathematical concepts to arrive at a solution.
Understanding the Test Format
The test is composed of two types of questions: short answer questions and multiple choice questions. The short answer questions are worth 8 points each, while the multiple choice questions are worth 5 points each. This means that the total possible score for the short answer questions is 10 x 8 = 80 points, and the total possible score for the multiple choice questions is 8 x 5 = 40 points.
Calculating Tashi's Score
Tashi scored a total of 84 points on the test. Since the short answer questions are worth 8 points each, we can calculate the number of short answer questions he answered correctly by dividing his total score by 8. This gives us 84 ÷ 8 = 10.5. However, since we cannot have a fraction of a question, we can conclude that Tashi answered 10 short answer questions correctly.
Determining the Number of Short Answer Questions Missed
We are given that Tashi missed 2 short answer questions. Since there are 10 short answer questions in total, we can calculate the number of short answer questions he answered correctly as 10 - 2 = 8.
Calculating the Number of Multiple Choice Questions Answered Correctly
Since Tashi scored a total of 84 points, and he answered 8 short answer questions correctly, we can calculate the number of points he scored on the multiple choice questions by subtracting the points scored on the short answer questions from his total score. This gives us 84 - 8 x 8 = 84 - 64 = 20 points. Since each multiple choice question is worth 5 points, we can calculate the number of multiple choice questions he answered correctly by dividing his score by 5. This gives us 20 ÷ 5 = 4.
Determining the Number of Multiple Choice Questions Missed
Since there are 8 multiple choice questions in total, and Tashi answered 4 correctly, we can calculate the number of multiple choice questions he missed by subtracting the number of questions he answered correctly from the total number of questions. This gives us 8 - 4 = 4.
Conclusion
In conclusion, Tashi missed a total of 2 short answer questions and 4 multiple choice questions, for a total of 6 questions missed on the whole test.
Final Answer
The final answer is 6.
Discussion
This problem requires the application of mathematical concepts, such as division and subtraction, to arrive at a solution. It also requires the student to carefully analyze the given information and understand the test format. The problem is relevant to the field of mathematics, specifically in the area of algebra and problem-solving.
Real-World Applications
This problem has real-world applications in the field of education, where students are often required to take tests and quizzes to assess their knowledge and understanding of a subject. The problem also highlights the importance of careful analysis and problem-solving skills in mathematics.
Future Research Directions
Future research directions in this area could include exploring the use of technology to enhance test-taking skills, or developing new methods for assessing student knowledge and understanding. Additionally, researchers could investigate the impact of test anxiety on student performance, and develop strategies for reducing test anxiety.
Limitations of the Study
One limitation of this study is that it assumes that the student has a basic understanding of mathematical concepts, such as division and subtraction. Additionally, the study assumes that the student has access to a calculator or other tools to aid in the calculation of the number of questions missed.
Recommendations for Future Research
Based on the findings of this study, we recommend that future research investigate the use of technology to enhance test-taking skills, and develop new methods for assessing student knowledge and understanding. We also recommend that researchers investigate the impact of test anxiety on student performance, and develop strategies for reducing test anxiety.
Conclusion
In conclusion, this study provides a comprehensive analysis of Tashi's test performance, and highlights the importance of careful analysis and problem-solving skills in mathematics. The study also has real-world applications in the field of education, and provides recommendations for future research directions.
Introduction
In our previous article, we delved into the world of mathematics and explored a real-life scenario involving a student named Tashi. Tashi scored 84 points on a test consisting of 10 eight-point short answer questions and 8 five-point multiple choice questions. However, he missed 2 short answer questions, and we were left wondering how many questions he missed in total. In this article, we will provide a Q&A section to further clarify the concepts and provide additional insights into Tashi's test performance.
Q&A
Q: What is the total possible score for the short answer questions?
A: The total possible score for the short answer questions is 10 x 8 = 80 points.
Q: How many short answer questions did Tashi answer correctly?
A: Tashi answered 10 short answer questions correctly.
Q: How many short answer questions did Tashi miss?
A: Tashi missed 2 short answer questions.
Q: What is the total possible score for the multiple choice questions?
A: The total possible score for the multiple choice questions is 8 x 5 = 40 points.
Q: How many multiple choice questions did Tashi answer correctly?
A: Tashi answered 4 multiple choice questions correctly.
Q: How many multiple choice questions did Tashi miss?
A: Tashi missed 4 multiple choice questions.
Q: What is the total number of questions missed by Tashi?
A: Tashi missed a total of 6 questions.
Q: What is the total possible score for the test?
A: The total possible score for the test is 80 + 40 = 120 points.
Q: What is Tashi's score as a percentage of the total possible score?
A: Tashi's score as a percentage of the total possible score is (84 / 120) x 100 = 70%.
Q: What is the average score per question for the short answer questions?
A: The average score per question for the short answer questions is 8 points.
Q: What is the average score per question for the multiple choice questions?
A: The average score per question for the multiple choice questions is 5 points.
Q: What is the total number of questions on the test?
A: The total number of questions on the test is 10 + 8 = 18.
Q: What is the percentage of questions that Tashi answered correctly?
A: The percentage of questions that Tashi answered correctly is (10 + 4) / 18 = 14 / 18 = 0.78 or 78%.
Conclusion
In conclusion, this Q&A section provides additional insights into Tashi's test performance and clarifies the concepts discussed in our previous article. We hope that this Q&A section has been helpful in further understanding the concepts and has provided a better understanding of Tashi's test performance.
Final Answer
The final answer is 6.
Discussion
This Q&A section has provided a comprehensive analysis of Tashi's test performance and has highlighted the importance of careful analysis and problem-solving skills in mathematics. The Q&A section has also provided additional insights into Tashi's test performance and has clarified the concepts discussed in our previous article.
Real-World Applications
This Q&A section has real-world applications in the field of education, where students are often required to take tests and quizzes to assess their knowledge and understanding of a subject. The Q&A section also highlights the importance of careful analysis and problem-solving skills in mathematics.
Future Research Directions
Future research directions in this area could include exploring the use of technology to enhance test-taking skills, or developing new methods for assessing student knowledge and understanding. Additionally, researchers could investigate the impact of test anxiety on student performance, and develop strategies for reducing test anxiety.
Limitations of the Study
One limitation of this study is that it assumes that the student has a basic understanding of mathematical concepts, such as division and subtraction. Additionally, the study assumes that the student has access to a calculator or other tools to aid in the calculation of the number of questions missed.
Recommendations for Future Research
Based on the findings of this study, we recommend that future research investigate the use of technology to enhance test-taking skills, and develop new methods for assessing student knowledge and understanding. We also recommend that researchers investigate the impact of test anxiety on student performance, and develop strategies for reducing test anxiety.
Conclusion
In conclusion, this Q&A section provides a comprehensive analysis of Tashi's test performance and highlights the importance of careful analysis and problem-solving skills in mathematics. The Q&A section also provides additional insights into Tashi's test performance and clarifies the concepts discussed in our previous article.