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a) In a Mathematics test, students are required to answer 50 questions. 3 points will be given for each correct answer, \( 1 \frac{1}{2} \) marks deducted for each wrong answer and \( \frac{1}{5} \) marks will be deducted for each question that was not answered. Set Hui answered 35 questions correctly and 8 questions wrongly. Calculate the marks obtained by Set Hui.

Ask by Dickson Bob. in Malaysia
Jan 23,2025

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Set Hui obtained 91.6 marks.

Solución

To calculate the marks obtained by Set Hui, we'll break down each component based on the given information. ### Given: - **Total Questions:** 50 - **Correct Answers:** 35 - **Wrong Answers:** 8 - **Unanswered Questions:** \( 50 - (35 + 8) = 7 \) ### Scoring Scheme: - **Correct Answer:** \( +3 \) points each - **Wrong Answer:** \( -\frac{3}{2} \) points each (which is \( -1.5 \) points) - **Unanswered Question:** \( -\frac{1}{5} \) points each (which is \( -0.2 \) points) ### Calculations: 1. **Marks from Correct Answers:** \[ 35 \text{ correct answers} \times 3 \text{ points} = 105 \text{ points} \] 2. **Marks Deducted for Wrong Answers:** \[ 8 \text{ wrong answers} \times \left(-\frac{3}{2}\right) \text{ points} = -12 \text{ points} \] 3. **Marks Deducted for Unanswered Questions:** \[ 7 \text{ unanswered questions} \times \left(-\frac{1}{5}\right) \text{ points} = -1.4 \text{ points} \] 4. **Total Marks Obtained:** \[ 105 \text{ (from correct answers)} - 12 \text{ (deducted for wrong answers)} - 1.4 \text{ (deducted for unanswered)} = 91.6 \text{ points} \] ### Final Answer: Set Hui obtained **91.6 marks**. Alternatively, expressing it as a fraction: \[ 91.6 = 91 \frac{3}{5} \text{ marks} \] **Answer:** Set Hui obtained 91 3⁄5 marks.

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The Deep Dive

Let's calculate the marks obtained by Set Hui step by step. She answered 35 questions correctly, which gives her \( 35 \times 3 = 105 \) points. For the 8 questions she answered incorrectly, she loses \( 8 \times 1.5 = 12 \) points. There are 50 questions total, so she left \( 50 - 35 - 8 = 7 \) unanswered, which costs her \( 7 \times \frac{1}{5} = 1.4 \) points. Now, we can find her total score: \[ \text{Total Marks} = 105 - 12 - 1.4 = 91.6 \] Therefore, Set Hui obtained 91.6 marks on the Mathematics test. Calculating scores can often bring out various strategies, especially in test situations! One tip is to manage your time wisely: prioritize questions based on your strength to maximize correct answers early, and pace yourself to avoid leaving too many unanswered questions. Mistakes often happen from hasty decisions, so it's always good to double-check your answers where possible! For further reading, consider diving into resource materials on test-taking strategies and effective study techniques. Books like "How to Ace the SAT" not only cover math concepts but also offer insights into managing time and reinforcing the importance of practice tests. Plus, it can help with developing a mindset for academic success!

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